The contributed to this difference in slope is social distancing
The slope of the graph for New York between March and April was steeper than the slope between April and May. This difference in slope could be attributed to several factors such as the implementation of social distancing measures and increased testing capacity.
In March, as the outbreak of COVID-19 was beginning to take hold in New York, there was a rapid increase in the number of cases, leading to a steeper slope in the graph.
However, in April, social distancing measures were put in place, leading to a reduction in the rate of transmission of the virus.
In May, the slope of the graph became even less steep as the effects of the social distancing measures and increased testing capacity continued to be felt.
Overall, the difference in slope between March and April and April and May can be attributed to a combination of factors, including the implementation of social distancing measures, increased testing capacity, and a decrease in the number of cases over time.
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Suppose that we have collected a random sample of 49 breakfast orders from a major hotel chain, noting for each order how long the guest had to wait for the order to arrive once the order was placed. We find that, on average, guests had to wait 9.5 minutes for their breakfast order to be delivered. Additionally, it is known that the population standard deviation for the wait time of a breakfast order is 1.5 minutes. Use the information above to construct a 95% confidence interval for the population mean wait time of a breakfast order (in minutes). Once you have constructed such an interval, choose the values below that best correspond to your confidence interval. Note: Our experimental unit here is breakfast orders, not hotel guests.
a) (-9.92,-9.08)
b) (1.12, 1.88)
c) (9.08, 9.92)
d) (9.44, 9.56)
e) (-1.16, 4.16)
Answer:
c) (9.08, 9.92)
Step-by-step explanation:
The formula for Confidence interval =
Mean ± z + Standard deviation/√n
Mean = 9.5 minutes
Standard deviation = 1.5 minutes
n = random number of samples = 49
z = z score of 95% confidence interval = 1.96
Confidence interval = 9.5 ± 1.96 × 1.5/√49
Confidence interval = 9.5 ± 1.96 × 1.5/7
= 9.5 ± 0.420
Hence,
9.5 - 0.42
= 9.08
9.5 + 0.42
= 9.92
Therefore, the confidence interval =(9.08, 9.92). Hence, Option C is correct.
If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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I need help on solving thiS
Answer:
it's a bit blurry!
Step-by-step explanation:
The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting.
A graph titled Chicken Consumption has amount (ounces) on the x-axis, going from 3.2 to 12.8 in increments of 1.2. The highest point of the curve is at 8.
Which statement describes the distribution?
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of –1.2 ounces.
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
The distribution is approximately Normal, with a mean of 1.2 ounces and a standard deviation of 8 ounces.
The distribution is uniform, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
Using concepts of the normal and of the uniform distribution, it is found that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
In an uniform distribution, all outcomes are equally as likely, thus they have the same height.In the normal distribution, the outcomes with the highest likelihood are those closest to the mean, thus they have the highest height. This means that the mean of this distribution is 8.The standard deviation cannot be a negative value, so in this problem, it is 1.2, which means that the correct option is:The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
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An athlete runs 3 mi in 24 min. Is the rate of this athlete greater than, less than, or equal to the rate of an athlete who runs 4 mi in 33 min?
Answer:
the 3 / 24 athlete runs faster than the 4 /33 athlete
Step-by-step explanation:
3 / 24 = 0.125 mi per min
4 / 33 = 0.12121212121 mi per min
Use mathematical induction to show that when n is an exact power of 2, T ( n ) = n lg n is the solution of the recurrence relation.
Using the mathematical induction, proved that when n is an exact power of 2, T ( n ) = n log n is the solution of the recurrence relation.
Let, n = 2
T(2) = 2 log(2)
= 2(1)
This satisfies the recurrence relation T(n) = 2T(n/2) + n,
so the base case holds.
Assume that the statement is true for all k where k is an exact power of 2 and k <= n.
n = 2m,
where m is an integer.
Using the recurrence relation,
T(2m) = 2T(2m/2) + 2m
T(2m) = 2T(2m-1) + 2m
Substitute the value of T(2m-1)
T(2m) = 2[ T(2(m-1)) + 2(m-1) ] + 2m
T(2m) = 2T(2(m-1)) + 2m + 2m - 2
T(2m) = 2T(2(m-1)) + 2(2m - 1)
Using the induction hypothesis, we can replace T(2(m-1)) with its value
T(2m) = 2[ T(2(m-2)) + 2(m-2) ] + 2(2m - 1)
T(2m) = 2T(2(m-2)) + 2(2m - 2) + 2(2m - 1)
T(2m) = 2T(2(m-2)) + 2(2m - 1)
Continue this process until we reach the base case of T(2)
T(2m) = 2T(2) + 2(2m-1)log(2m-1) + 2(2m-2)log(2m-2) + ... + 2(2)log(2)
T(2m) = 4 + 2(2m-1)log(2m-1) + 2(2m-2)log(2m-2) + ... + 4
T(2m) = 2m log(2m) (by the identity 1 + 2 + 2^2 + ... + 2^(k-1) = 2^k - 1)
Therefore, T(n) = n log(n) is the solution of the recurrence relation when n is an exact power of 2.
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The operator V on the set R of real numbers is defined by: xVy = 7xy, for x, y ER. (a) Find under the operation V: (i.) the identity element; (ii.) the inverse of the element a E R. (b) Does every element a E R have an inverse?
(a) The identity element under operation V is 1/7.
(b) No, not every element a in R has an inverse under the operation V.
What are real numbers?Positive and negative integers, fractions, and irrational numbers are examples of real numbers.
(a)
(i) To find the identity element e, we need to find a real number e such that for all x in R, xVe = eVx = x.
So, we have:
xVe = 7xe = x
⇒ e = 1/7
Therefore, the identity element under operation V is 1/7.
(ii) To find the inverse of an element a in R, we need to find a real number b such that aVb = bVa = e. Therefore, we have:
aVb = 7ab = 1/7
⇒ b = 1/(49a)
Therefore, the inverse of an element a in R under the operation V is 1/(49a).
(b) In particular, the element 0 does not have an inverse, since there is no real number b such that 0Vb = bV0 = e, where e is the identity element (1/7).
This is because any real number multiplied by 0 is 0, so 0Vy = 0 for any y in R, which means that 0 cannot be the result of the operation V for any value of y.
Therefore, element 0 has no inverse under operation V.
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What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
17. You want to test a new athlete's-foot treatment. You test men and women separately, randomly dividing them into treatment and control groups. The treatment groups receive the new treatment and the control groups receive an inert powder that resembles the treatment. Neither the subjects nor the test administrators know which groups receive the treatment and which groups receive the inert powder. At the end of the experiment, all subjects are asked to rate their degree of relief from athlete's foot. These scores are compared between groups. Which of the following groups of elements were present in this study?
a. Randomization, blocking, placebo, comparative, double-blind
b. Comparative, randomization, placebo, blind
c. Double-blind, randomization, comparative, placebo
d. Randomization, stratified sample, placebo, blind, treatment
e. Double-blind, control, observational, blocking
Answer:
a. Randomization, blocking, placebo, comparative, double-blind
Step-by-step explanation:
1. Randomization is the process of assigning the subjects in an experiment to any of the treatment groups. This was applied in this experiment when the researcher randomly divided the men and the women into treatment and control groups.
2. Blocking is introduced in an experiment in order to remove nuisance factors. The researcher introduced blocking in this experiment when he divided the men and women on the basis of gender.
3. The Placebo is the inert powder that was given to a group. It has no effect on the participants who receive it.
4. Comparative research compares the result from two groups. This is seen in this research hen the researcher compares the scores between the groups.
5. A double-blind experiment is one where neither the subjects nor the test administrators know which groups receive a treatment. This factor is present in this test.
Name all rays with endpoint E
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
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3x + 4 = 16 what is x?
Answer:
x = 4Step-by-step explanation:
3x + 4 = 163x = 16 - 43x = 12x = 12/3x = 44x^2=x+3
Solve by factoring
Show your work please!
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis.
For every 3 kiwis, there are 4
Answer:
83
Step-by-step explanation:
666
Answer:
Bananas
Step-by-step explanation:
What is the median mean mode and range of 1,3,5,8,10?
Answer:
Below!
Step-by-step explanation:
Given data: 1, 3, 5, 8, 10
Determining the median of the data:
The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.
⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3Determining the mean of the data:
The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.
⇒ Mean = (27)/5⇒ Mean = 5.4Determining the mode of the data:
The mode of the data is the number that has repeated the most.
⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated onceSince all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.
Determining the range of the data:
The range of the data is the difference of the largest and smallest number (As said above).
⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9Answer:
Median: 5
Mean: 5.4
Mode: 1, 3, 5, 8, 10
Range: 9
Step-by-step explanation:
Median: the middle value.
Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).
Mode: the number that is most frequent.
Range: the difference between the biggest and smallest values.
First, make sure your data set is in numerical order: 1, 3, 5, 8, 10
Median: 5
1, 3, 5, 8, 10
Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27
27/5 = 5.4
Mode: 1, 3, 5, 8, 10
1, 3, 5, 8, 10
All of them, as they all appear once.
Range: 9
10 - 1 = 9
Hope this helps!
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Calculate the angle EOD in the figure above
2. Calculate the angle DOC In the angle above
Answer:
Step-by-step explanation: Hello!
To find angle EOD, you are already given two angle measurements. The measure of angle AOB is 55 degrees and the measure of angle BOC is 30 degrees. The important thing that you have to remember to solve this problem is that vertical angles are congruent. (I won't be explaining the definition of vertical angles, but you can find a lot of images and explanations online). This means the two angles formed by two lines intersecting each other in any way is always congruent. Angles AOB and EOD are congruent by the definition of vertical angles. This means that the measure of angle EOD is 55 degrees.
Now, you have to find the measurement of angle DOC. By the definition of straight lines, you know that the angles formed by a straight line all add up to 180 degrees. This means that:
EOD + DOC + COB = 180 degrees. You are already given two of these measurements. (Angle EOD which you just figured out and Angle COB which was already given). Fill these numbers in the equation.
55 + DOC + 30 = 180. Combine like terms (55 + 30)
85 + DOC = 180. Then subtract 85 from both sides using the subtraction property of equality.
(85 - 85) + DOC = (180 - 85)
DOC = 95.
The measure of angle DOC = 95.
You can check this by substituting the new measurement for angle DOC back into the equation.
Does 55 + 30 + 95 = 180?
85 + 95 = 180
180 = 180.
The measure of angle DOC is 95 degrees and the measure of angle EOD is 55 degrees.
One fourth of a number and two is three in equation form.
Answer:
1/4x+2=3
Step-by-step explanation:
hopefully this helps :)
A store is having a sale. You can buy 14 cards for $6. What is the cost of 35 cards during this sale?
Answer:
15$
Step-by-step explanation:
14=$6
35=6*35/14
15
I need help with this please thank you number 14
Answer:
The question is given below as
Concept:
The question will be solved using the linear pair theorem below
The Linear Pair Theorem states that two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.
By applying the principle, we will have that
\(\begin{gathered} \angle x+88^0=180^0 \\ collect\text{ similar terms,} \\ subtract\text{ 88 from both sides} \\ \operatorname{\angle}x+88^0-88^0=180^0-88^0 \\ \angle x=92^0 \end{gathered}\)Hence,
The value of x= 92°
Step 2:
By applying the linear pair theorem, we will also have that
\(\begin{gathered} \angle z+88^0=180^0 \\ collect\text{ similar terms, } \\ subtract\text{ 88 from both sides} \\ \operatorname{\angle}z+88^0-88=180^0-88 \\ \angle z=92^0 \end{gathered}\)Hence,
The value of z= 92°
Step 3:
By applying the linear pair theorem also, we will have that
\(\begin{gathered} \angle x+\angle y=180^0 \\ 92^0+\angle y=180^0 \\ collect\text{ similar terms,} \\ substract\text{ 92 from both sides} \\ 92^0-92^0+\operatorname{\angle}y=180^0-92^0 \\ \angle y=88^0 \end{gathered}\)Hence,
The value of y= 88°
Ruben decides to leave a 24% tip after eating dinner at Sun Bistro. If the bill is $23.35, how much should he pay? Round to the nearest cent.
Answer:
$3.50
Step-by-step explanation:
1) The table below shows a future estimated population and the number of hospitals in
2009 in the United States and the three states - Texas, California, and Florida. Use
the data to answer each question.
Estimated Future Population and Number of Hospitals by State (2009)
Number of
hospitals in
2009
5,008
428
343
210
United States
Texas
California
Florida
Projected
Population
316 million
26.4 million
38.3 million
19.5 million
Patients Admitted in
2009 (in Thousands)
35,527
2,621
3,433
2,453
Assume Florida has the same number of hospitals per million people as Texas.
Estimate the number of hospitals in Florida. Is this estimate close to the actual
number of hospitals in Florida in 2009?
If Florida had the same number of hospitals per million people as Texas, it would have 558 hospitals in 2009. This is slightly higher than the actual number of hospitals in Florida in 2009 (343).
What is proportional reasoning?Proportional reasoning is a mathematical process used to compare the ratios of two or more similar quantities.
This question uses the theory of proportional reasoning.
In this case, we are comparing the ratio of the number of hospitals per million people in Texas to the ratio of the number of hospitals per million people in Florida.
By comparing these two ratios, we can estimate the number of hospitals in Florida given the same ratio as Texas.
1. Calculate the number of hospitals per million people in Texas: 428 hospitals / 26.4 million people = 16.2 hospitals per million people.
2. Calculate the number of hospitals per million people in Florida: 343 hospitals / 19.5 million people = 17.6 hospitals per million people.
3. Multiply the number of people in Florida (19.5 million) by the number of hospitals per million people in Texas (16.2): 19.5 million people x 16.2 hospitals per million people = 315.3 hospitals.
4. Round the result to the nearest whole number: 315.3 hospitals = 315 hospitals.
5. Compare the estimated number of hospitals in Florida (315) to the actual number of hospitals in Florida in 2009 (343).
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Jamie Nolan purchased new cabinets for $12,640: laminate flooring for $4,560; countertops for
$12.354; and a new sink for $547. Lowe's credit plan requires a 15% down payment. What is the
amount of the down payment?
Answer:
total : 12371747
down payment : 10,515,984.95
Step-by-step explanation:
Please help. Will award brainliest
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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Find the value of k if (p+2) is a factor of the polynomial 2p^3– p^2+ 12 - k.
what is 5+5 = so answer would be 10 because when you add then it 10
what is the probability that either event will occur?
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
To know more about rate
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is 0.7 rational or irrational
Answer:
rational
Step-by-step explanation:
cause the decimal expansion ends in Os. decimal point
Completing the square first gets brainliest maths Question plus 30 points.
Answer:
Hello,
Step-by-step explanation:
a)
\(x^2-2x-6=x^2-2x+1-1-6\\\\=(x-1)^2-7\\\)
b)
\(x^2-2x-6=(x-1)^2-7\\\\=(x-1-\sqrt{7} )(x-1+\sqrt{7} )\\\\\\\boxed{x=1-\sqrt{7} \ or\ x=1+\sqrt{7} }\\\)