Answer:
9.716 rounded to the nearest whole is 10
9.716 rounded to the nearest tenth is 9.7
9.716 rounded to the nearest hundredth is 9.72
Step-by-step explanation:
AM = 3x, MB - 22 and AB = 43Prove: x=7StatementsReasons1. M is between A and B2. AM + MB - AB3. 3x + 22 - 434. 3x = 215. X = 7:: Substitution Property of Equality:: Division Property of EqualitySubtraction Property of EqualityGiven:: Segment Addition Postulate
Fill the blanks this way
1. Given
2. Segment addition postulate
3. Substitution property of equality
4. Substraction property of equality
5. Division property of equality
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.11 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.76. What is the probability that the flight would be delayed when it is raining? Round your answer to the nearest thousandth.
Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.
Let's denote the events as follows:
A: It will rain
B: The flight will be delayed
We are given the following probabilities:
P(A) = 0.11 (probability of rain)
P(B) = 0.14 (probability of flight delay)
P(A'∩B') = 0.76 (probability of no rain and on-time departure)
We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.
We know that:
P(B|A) = P(A∩B) / P(A)
To find P(A∩B), we can use the formula:
P(A∩B) = P(A) - P(A'∩B')
Substituting the given values:
P(A∩B) = P(A) - P(A'∩B')
P(A∩B) = 0.11 - 0.76
P(A∩B) = -0.65
for similar questions on probability.
https://brainly.com/question/251701
#SPJ8
Can Someone come help me out here plzzz ..hurry uppp thxxx
Answer:
It’s the last one
Step-by-step explanation:
You can see on the graph
HELP. find the missing length indicated
Two parallel lines.
When there are two parallel lines that form each side of two triangles the ratio of the corresponding sides of each triangle is equal to the ratio of the other corresponding sides of the two triangles.
The missing length is 35
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two parallel lines.
When there are two parallel lines that form each side of two triangles the ratio of the corresponding sides of each triangle is equal to the ratio of the other corresponding sides of the two triangles.
The missing length = x
This means,
(28 + x) / x = (12 + 15) / 15
(28 + x) / x = 27/15
(28 + x) x 15 = 27x
420 + 15x = 27x
420 = 27x - 15x
420 = 12x
x = 35
Thus,
The missing length is 35
Learn more about triangles here:
https://brainly.com/question/25950519
The missing length = x
This means,
(28 + x) / x = (12 + 15) / 15
(28 + x) / x = 27/15
(28 + x) x 15 = 27x
420 + 15x = 27x
420 = 27x - 15x
420 = 12x
x = 35
Thus,
The missing length is 35
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
Hi, can you help me explain the difference between cos, sec, and tan?
Let's differentiate betweeen cos, sec and tan.
The cos, sec and tan are trigonometri functions
• cos
Cos is the short form for cosine.
The cosine of an angle can be said to be the complementary of the angle.
The complement of an angle is the angle subtracted from 90 degrees.
It can also be said to be the ratio of the side adjacent to an acute angle to the hypotenuse in rigt triangle.
\(\cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}\)• Sec.
Sec is the short form for Secant.
It is the reciprocal of cosine.
Given that cosine is the ratio of the adjacent to the hypotenuse, the secant will be the ratio of the hypotenuse to the adjacent.
\(\sec \theta=\frac{\text{hypotenuse}}{\text{adjacent}}\)• tan:
tan is the short form for tangent.
Tangent is the ratio of the side opposite the angle to the adjacent side in a right triangle.
\(\tan \theta=\frac{opposite}{\text{adjacent}}\)90+27 apply the distributive property to factor out the greatest common factor
Given:
90 + 27
Let's apply the distributive property to factor out the greatest common factor.
First find greatest common factor of 90 and 27
Greatest common Factor of 90 and 27 = 9
Thus, we have:
\(\begin{gathered} 9(\frac{90}{9}+\frac{27}{9})\text{ } \\ \\ =\text{ 9(10 + 3)} \end{gathered}\)Applying distribuive property, we could rewrite as: 9(10 + 3)
ANSWER:
9(10 + 3)
Solve x find the missing Angles
Step-by-step explanation:
<CDB = 1 + 6x
<DCB = 58°
<CBF = 11x + 9
Now
<CBF = < CDB + < DCB ( Exterior angle of a triangle is equal to the sum of two opposite interior angles )
11x + 9° = 58° + 1° + 6x
11x - 6x = 59° - 9°
5x = 50°
x = 10°
<C = 58°
<D = 1 + 6 * 10° = 61°
< B = 11 * 10° + 9 ° = 110° + 9 = 119°
Hope it will help :)❤
Answer:
Step-by-step explanation:
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Kate has a Major Medical Plan with a 75/25 coinsurance and a deductible of $25. How much will she have to pay if she, not having met any of her deductible, visits the doctor and receives a bill for $125?
Kate will have to pay $56.25 out of pocket for her doctor visit.
The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.
The formula for calculating the amount Kate needs to pay is as follows:
Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible) In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.
Learn more about total cost here:
https://brainly.com/question/28652728
#SPJ4
Simplify the expression (6^4)^2.What is the simplified form of this expression?
Answer:
6^8Step-by-step explanation:
Use of formula (a^b)^c = a^(bc)Simplify
(6^4)^2 = 6^(4*2) = 6^8Answer:
brainliest plsssssss
Step-by-step explanation:
(6^4)^2
=(6^4)^2
=(6^4) x (6^4)
=(6 x 6 x 6 x 6) x (6 x 6 x 6 x 6)
=6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
=68
=1679616
PLEASE HELP ASAP ASAP ASAP HELP
Answer:
See attachment
Step-by-step explanation:
the lengths of turtles in a park are normally distributed with a mean of 25.9 inches and a standard deviation of 6.3 inches. what is the percentile rank of a turtle whose length is 21 inches?
By using normal distribution of probability, it is obtained that
Percentile rank of a turtle whose length is 21 inches is 22%
What is probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
Here, Normal Distribution of probability is used
Mean = 25.9 inches
Standard deviation = 6.3 inches
P(X \(\leq\) 21) = P(z \(\leq\) \(\frac{21 -25.9}{6.3}\))
= P(z \(\leq\) -0.78)
= 0.22
= 22%
Percentile rank of a turtle whose length is 21 inches is 22%.
To learn more about probability, refer to the link -
https://brainly.com/question/25870256
#SPJ4
I'm trying to find the measure of this parallelogram a= x b=145° c=y and d=z
Answer:
y = 145 ( being parallelogram opposite angle is equal)
similarly, x = z = 35 ( being parallelogram, sum of two ad angle is 180)
Step-by-step explanation:
Answer please and thank you
The cοrrect answer tο this questiοn is x = 89°.Tο sοlve this questiοn, we must first calculate the sum οf the interiοr angles οf a clοsed figure, which is always equal tο 360°.
What is interiοr angles?Interiοr angles are angles inside a clοsed shape such as a triangle, quadrilateral, pentagοn, hexagοn οr any οther pοlygοn. These angles are fοrmed by twο lines that intersect inside the shape.
Sum of Interior angle of polygons is given by:
(n − 2) × 180°
Here, n is number of sides = 6
So,
(6 − 2) × 180°
720°
That gives us
149° + 161° + 135° + 59° +127 + x = 720°
631 + x = 720°
x = 720° - 631
x = 89°
For more questions related to hexagon
brainly.com/question/15424654
#SPJ1
is 11/4 irrational or rational
Answer: rational
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
irrational means that the decimal digits are not in a pattern. 11/4 is equal to 2 3/4 which is also equal to 2.75. Since we can predict the coming digits, (which are all 0) it means that 11/4 is, indeed rational.
Preliminary data analysis was done before patients received the drug to assess the variation in groups. Results: In total, 397 patients underwent randomization and began treatment (200 patients for 5 days and 197 for 10 days). The median duration of treatment was 5 days (interquartile range, 5 to 5 ) in the 5-day group and 9 days (interquartile range, 5 to 10 ) in the 10-day group. At baseline, patients randomly assigned to the 10-day group had significantly worse clinical status than those assigned to the 5-day group (P=0.02) a. Remember that when comparing two groups, the Null Hypothesis always gives the state that the two things are equal, and the alternate is the change we are looking for, or in this case, a difference in the groups at baseline. Does the P-value of 0.02 indicate that the groups were similar at baseline (i.e. before taking the drug.) Give specific hypothesis test reasoning.
The P-value of 0.02 indicates that the groups were not similar at baseline (before taking the drug). In hypothesis testing, the null hypothesis assumes that there is no difference between the groups, while the alternative hypothesis suggests that there is a difference.
In this case, the null hypothesis would state that the clinical status of patients assigned to the 10-day group is equal to the clinical status of those assigned to the 5-day group at baseline. The alternative hypothesis would suggest that there is a difference in the clinical status between the two groups at baseline.
With a P-value of 0.02, which is below the conventional significance level of 0.05, we reject the null hypothesis. This means that there is evidence to support the alternative hypothesis, indicating that the clinical status of patients assigned to the 10-day group is significantly worse than that of patients assigned to the 5-day group at baseline.
To learn more about Null hypothesis - brainly.com/question/28920252
#SPJ11
If x= 5 and y = 2 work out the value of 2x2
The value of the expression 2x^2 where x = 5 and y = 2 is 8
How to work out the value of the expression 2x^2?The expression is given as
2x^2
From the question, we have the values of the x and y to be
x = 5 and y = 2
Substitute x = 5 and y = 2 in the expression 2x^2
So, we have
2x^2 = 2 x 2^2
Evaluate the exponent
So, we have
2x^2 = 2 x 4
Evaluate the product
So, we have
2x^2 = 8
Hence, the value of the expression 2x^2 where x = 5 and y = 2 is 8
Read more about expressions at
https://brainly.com/question/723406
#SPJ1
Can someone help me with this
Answer:
Options A, C, and F
Step-by-step explanation:
Solve using ELIMINATION (with step by step explanation) Please
3x+y=-9
y=5x+7
Answer:
x = -2 (verified by algebra) ✅Step-by-step explanation:
Since we are given the value of y, we can replace it with 5x + 7.
We now have: 3x + 5x + 7 = -9
We can now simplify by adding 3x and 5x to get 8x.
8x + 7 = -9
We can subtract 7
8x = -16
And now, we divide by 8
x = -2
We can check to make sure we are correct
3(-2) + 5 (-2) + 7 = -9
-6 + -10 + 7 = -9
-9 = -9 ✅
Solve for x:
7x-99+ 2x+1
please helpppp
Answer:
x = 20
Step-by-step explanation:
7x - 99 = 2x + 1 (vertically opposite angles are equal)
Rearrange
5x = 100
x = 20
angeline would like to make 8 identical bowls for a gift to her family. each bowl required 3/4 lbs. of clay. the clay is sold in 5 bl. blocks. how many will she need to buy
Answer: 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8 × .75 = 6lbs
she'd need 6lbs so she'd buy two bags of 5lbs
A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. 65% of the students have never taken a statistics class, 15% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics. Round your answers to three decimal places.
a. What is the probability that the first groupmate you meet has studied at least two semesters of statistics?
b. What is the probability that the first groupmate you meet has studied some statistics?
c. What is the probability that neither of your two groupmates has studied any statistics?
d. What is the probability that your two groupmates have studied at least one semester of statistics?
e. What is the probability that at least one of your two groupmates has studied more than one semester of statistics?
Answer:
Step-by-step explanation:
a;23
b;23
c97
d18
e29
Hey there Ms or Mr could you please help me out with this problem?just so you know, this is Pythagorean theorem & Simplifying Radicals My recent tutor said that this is the answer of course no I don't have any doubts I just want to know if this is correct.
When we have a radical, we can simplify it by the rule:
\(\sqrt[]{ab}=\sqrt[]{a}\sqrt[]{b}\)So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).
\(\sqrt[]{500}=\sqrt[]{50}\sqrt[]{10}\)Now, we can break down Root(50) further.
\(\begin{gathered} \sqrt[]{50}\sqrt[]{10} \\ =\sqrt[]{25}\sqrt[]{2}\sqrt[]{10} \end{gathered}\)Now, let's break down Root(10) also, thus we have:
\(\begin{gathered} \sqrt[]{25}\sqrt[]{2}\sqrt[]{10} \\ =\sqrt[]{25}\sqrt[]{2}\sqrt[]{5}\sqrt[]{2} \end{gathered}\)We can see:
• Root(25) is 5
,• Also Root(2)*Root(2) is 2 by using the rule:
\(\sqrt[]{a}\sqrt[]{a}=a\)Thus, we finally have:
\(\begin{gathered} \sqrt[]{25}\sqrt[]{2}\sqrt[]{5}\sqrt[]{2} \\ =5(2)\sqrt[]{5} \\ =10\sqrt[]{5} \end{gathered}\)what is 17.9 divided by 7?
The Answer is 2.557 when 17.9 is divided by 7
Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie has a rectangular rug that is 6 feet wide and 10 feet long. Will the rug fit on the floor of her room? Use the drop‐down menus to explain and show your answer.
Answer:
Yes it would
Step-by-step explanation:
Lanie's room is in the shape of a parallelogram.
Lanie has a rectangular rug that is 6 feet wide and 10 feet long.
Area of a rectangle = Length × Width
Area of the rectangular rug = 10 feet × 6 feet
= 60 square feet
We are told that:
The floor of her room is shown below and has an area of 108 square feet.
Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.
Simplify the expression below:
2(4x + 5y)
Answer:
8x + 10y
Hope this helps!
Answer: 8x+10y
Step-by-step explanation: you to distribute the 2 in the parentheses and the you will have 8x+10y but you can't combine uncommon symbols
a box contains 75 balls numbered from 1 to 75. if 10 balls are drawn with replacement, what is the probability that at least two of them have the same number?
Probability that at least two of them have the same number is 1 - 75! / (10! * (75-10)!) /\(75^{10}\).
Given,
A box contains 75 balls numbered from 1 to 75 .
Here,
The probability that at least two of the balls drawn have the same number is equivalent to the probability that there is at least one pair of matching numbers among the balls drawn, which is equal to 1 minus the probability that there are no pairs of matching numbers among the balls drawn.
We can calculate the probability that there are no pairs of matching numbers among the balls drawn by finding the number of ways that we can draw 10 balls without replacement from the set of 75 balls, and dividing that by the total number of ways to draw 10 balls with replacement.
The number of ways to draw 10 balls without replacement from a set of 75 balls is given by the binomial coefficient "75 choose 10", which can be calculated as:
75! / (10! * (75-10)!) = 828931106355
The total number of ways to draw 10 balls with replacement from a set of 75 balls is given by \(75^{10}\).
So the probability that there are no pairs of matching numbers among the balls drawn is:
75! / (10! * (75-10)!) /\(75^{10}\).
Therefore, the probability that at least two of the balls drawn have the same number is:
1 - 75! / (10! * (75-10)!) /\(75^{10}\).
Know more probability,
https://brainly.com/question/31828911
#SPJ4
Heya ~
I need help please . . . .
I am just going to show the image, so y'all won't get confuse.
ANSWERS CHOICES ~
\(4\)
\(3\)
\(-3\)
make a explanation to this.
Thanks ~
Answer:
y = −3
Step-by-step explanation:
Subtract 7 from 4.
y = 4 - 7 = -3
Hopefully this helps you!
In this exercise we have to use subtraction knowledge to calculate the final value of the equation, like this:
Letter C
What is subtraction?It is a mathematical operation in which it is possible to find a quantity by decreasing one number by another, it is opposed to addition, being represented by the minus sign.
So make the calculus we have:
\(y=x-7\\x=4\\y=4-7\\y=-3\)
See more about subtraction at brainly.com/question/4319655
Fabiola’s dog is 5 pounds heavier than one-third of the weight of Luisa’s dog. Fabiola’s dog weighs 23 pounds. Use the diagram to write an equation to represent the dogs’ weights. Let f represent the weight of Luisa’s dog.
A long rectangle is the top section. 2 smaller rectangles are the bottom section.
The top section represents
.
The bottom section represents
.
The equation is
.
A park bench is located 16 3/4 feet due north of an elm tree a fountain is located 9 1/2 feet due south of the same elm tree
What is the distance in feet between the park bench and the fountain?
A 26 1/4 ft
B 25 1/4 ft
C 25 2/3 ft
D 26 ft
Please help me! thank you alot..!
Answer: A
Step-by-step explanation: Take 16 and 9 add them u get 25 then u take the fractions turn the 1/2 into 2/4 and add them you then get 1 1/4