true or false, a negative correlation means that there is a weak relationship between the variables.
Answer: Utmostly Irrefutably true my good sir!
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes. 2/5 1/2
Answer:
The constant of proportionality is:
k = 5/4Step-by-step explanation:
We know that when y varies directly with x, we get
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality
From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.
so we have the point (2/5, 1/2), and
x = 2/5
y = 1/2
so substituting x = 2/5 and y = 1/2 in the equation
k = y/x
k = [1/2] / [2/5]
k = [1 × 5 ] / [2 × 2 ]
k = 5/4
Therefore, the constant of proportionality is:
k = 5/4Which expression finds the measure of an angle that is coterminal with a 300° angle
Answer:
300° - 720°
Step-by-step explanation:
Co-terminal angles: Angles that have the same initial side and the same terminal sides.
The co-terminal angle is found by adding or subtracting 360°n (or 2πn if working in radians) to the given angle.
Given angle:
300°Therefore, co-terminal angles of 300° are:
⇒ 300° + 360°n = 660°, 1020°, ...
⇒ 300° - 360°n = -60°, -420°, ...
Therefore, the expression that finds the measure of an angle that is co-terminal with a 300° angle is one that adds or subtracts a multiple of 360°:
300° - 2(360°) = 300° - 720°
Please answer!! And will you explain why??
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting:
(i) a king of red suit (ii) a face card (iii) a red face card (iv) a queen of black suit (v) a jack of hearts (vi) a spade
The probability of getting (i) a king of red suit = 1 / 26 (ii) a face card = 3 / 13 (iii) a red face card = 3 / 26 (iv) a queen of black suit = 1 / 26 (v) a jack of hearts = 1 / 52 (vi) a spade = 1 / 4
Given, Total number of cards in a deck = 52 cards
(i) Probability of getting a king of red suit - A deck contains two red kings, one each in hearts and diamonds.
Therefore, P(getting a king of red suit) = (Number of kings of red suit) / (Total number of cards in the deck)
= 2 / 52= 1 / 26
(ii) Probability of getting a face card - A deck contains 12 face cards (4 Jacks, 4 Queens and 4 Kings)
Therefore, P(getting a face card) = (Number of face cards) / (Total number of cards in the deck)
= 12 / 52= 3 / 13
(iii) Probability of getting a red face card - A deck contains 6 red face cards (2 Jacks, 2 Queens and 2 Kings)
Therefore, P(getting a red face card) = (Number of red face cards) / (Total number of cards in the deck)
= 6 / 52= 3 / 26
(iv) Probability of getting a queen of black suit - A deck contains two black queens, one each in clubs and spades.
Therefore, P(getting a queen of black suit) = (Number of queens of black suit) / (Total number of cards in the deck)= 2 / 52= 1 / 26
(v) Probability of getting a jack of hearts - A deck contains only one jack of hearts
Therefore, P(getting a jack of hearts) = (Number of jacks of hearts) / (Total number of cards in the deck)= 1 / 52
(vi) Probability of getting a spade - A deck contains 13 spades
Therefore, P(getting a spade) = (Number of spades) / (Total number of cards in the deck)
= 13 / 52= 1 / 4
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Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time.
day
change
Monday
+2000
Tuesday
-125
Wednesday
-127
Thursday
+1719
Friday
-356
Saturday
-782
Sunday
0
Explain what a positive and negative number means in this situation
How many paper cups are left at the end of the week?
How many cups were used on Thursday? Explain how you know?
A student used the equation below to create a table.
y=-3x - 5
The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?
O (-11, -2)
O (-2,-11)
O (-2, 1)
O (1.-2)
Mark this and return
Save and Exit
Next
Submit
Answer:
second option -2, -11
Step-by-step explanation:
when you put -2 where x is then
y is -11
f(x)=1/2x-7/2 and g(x)=2x+14
Answer:
(-11.667, -9.333)
Step-by-step explanation:
were you looking for the intersection? that's what i just found. have a great day and thx for your inquiry.
Please help me :(((((((((((( Thank youuuu !!!
Answer:
455
Step-by-step explanation:
Please help I’m offering 20 points
Answer:
3/8
Step-by-step explanation:
2 x 3/8 = 6/8
6/8 divided by 2 is 3/8
a sauce recipe calls for 4 pounds of ground beef and you want to halve it how many ounces of ground beef do you need?
If you want to halve the recipe, you will need 32 ounces of ground beef. We can find it by multiplying.
To determine the amount of ground beef needed when halving the recipe, we need to convert pounds to ounces. There are 16 ounces in 1 pound.
Given that the original recipe calls for 4 pounds of ground beef, we can calculate the amount needed when halving the recipe by dividing it by 2.
Amount needed when halving = 4 pounds / 2 = 2 pounds.
To convert 2 pounds to ounces, we multiply it by 16:
2 pounds * 16 ounces/pound = 32 ounces.
Therefore, when you halve the recipe, you will need 32 ounces of ground beef.
In conclusion, to make half of the original recipe that calls for 4 pounds of ground beef, you will need 32 ounces of ground beef.
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help ME PLEASE HELP ME I HATE MATH I HATE IT YOU DONT NEED TO EXPLAIN IT I JUST NEED AN ANSWER
Answer:
674
Step-by-step explanation:
Answer:
woah woah woah woah calm down there buddy its 674 :)
question the variable x represents the number of angelfish carlos bought and the variable y represents the number of parrotfish he bought. carlos bought 405 tropical fish for a museum display. he bought 8 times as many parrotfish as angelfish. how many of each type of fish did he buy? which system of equations models this problem?
Carlos buy 35 number of angelfish and 360 number of parrotfish.
What is solving an equation?
Unifying Principle for Equation Solving
By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.
The variable term on one side of the equation can be separated using addition or subtraction.
To find the variable, use multiplication or division.
x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.
Carlos bought 405 tropical fish for a museum display.
x + y = 405 ..(1)
As he bought 8 times as many parrotfish as angelfish.
⇒ y = 8x ..(2)
Plug y = 8x in equation (1)
x + 8x = 405
9x = 405
x = 45
Plug x = 45 in equation (2)
y = 8(45)
y = 360
Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.
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What mass of carbon in grams is present in a 355ml can at 5.0c and 101.3kpa
According to the given statement the mass of carbon in grams present in a 355 mL can at 5.0°C and 101.3 kPa is approximately 0.185 g.
To determine the mass of carbon in grams present in a 355 mL can at 5.0°C and 101.3 kPa, we need to follow these steps:
1. Convert the volume to liters: 355 mL = 0.355 L
2. Use the Ideal Gas Law formula: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (8.314 J/mol·K), and T is the temperature in Kelvin.
3. Convert the temperature to Kelvin: 5.0°C + 273.15 = 278.15 K
4. Calculate the number of moles (n): n = PV/RT = (101.3 kPa × 0.355 L) / (8.314 J/mol·K × 278.15 K)
Since 1 kPa = 1000 Pa and 1 J = 1 N·m, we can convert the units:
n = (101300 Pa × 0.355 m³) / (8.314 N·m/mol·K × 278.15 K)
5. Solve for n: n ≈ 0.0154 mol
6. Calculate the mass of carbon: mass = n × molar mass of carbon
The molar mass of carbon is 12.01 g/mol, so the mass is:
mass = 0.0154 mol × 12.01 g/mol ≈ 0.185 g
The mass of carbon in grams present in a 355 mL can at 5.0°C and 101.3 kPa is approximately 0.185 g.
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Belinda's mom gave her $58.75 to spend
on hamburgers and drinks for a party.
Hamburgers are $2.75 each. What is the
largest number she can buy and still have
at least $10 left over for drinks?
Answer:
They will buy 15 hamburger
Pls vote me as Brainiest
What volume in milliliters, of a 60% hydrochloric acid solution must be added to 100ml of a 30% hydrochloric acid solution to make a 36% hydrochloric acid solution?
Answer:
Since 30% of 100 ml = .3*100 = 30 ml
60 % of X ml = .6x which we are trying to solve
add
(X+100).36 = 30+.6x
.36x+36 = 30+.6x
so
6 = .24x
x = 25 ml
Step-by-step explanation:
I hope this helps you
Mary analyzed occupancy rates at two community hospitals and obtained the following Excel results.
t-Test for Acue Care Occupancy Rates
MaxHealth HealthPro Mean 62.5462 68.4800 Variance 108.2377 98.3707 Observations 13 10 Hypothesized Diff 0 df 20 t Stat −1.3923 P(T<=t) one-tail 0.0896 t Critical one-tail 1.7247 P(T<=t) two-tail 0.1791 t Critical two-tail 2.0860 Which conclusion is correct in a two-tailed test at α = .05?
Multiple Choice
There appears to be no difference in the mean occupancy rates.
There is a significant difference in the mean occupancy rates.
HealthPro has a significantly higher mean occupancy rate.
Carver Memorial Hospital’s surgeons have a new procedure that they think will decrease the time to perform an appendectomy. A sample of 8 appendectomies using the old method had a mean of 38 minutes with a variance of 36 minutes, while a sample of 10 appendectomies using the experimental method had a mean of 29 minutes with a variance of 16 minutes. For a right-tailed test for equal means (assume equal variances), the critical value at α = .10 is
Multiple Choice
2.120
2.754
1.746
1.337
The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.
How to solveFrom the given values:
Thus, the P-value = 0.1791
Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.
From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.
Thus, option A is correct.
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What is the slope of a line that is perpendicular to the line y=(-3/2)x-14 ?
Will give brainliest!
Answer:
\(\displaystyle m_{\text{perp}} = \frac{2}{3}\)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
*Note:
The slope of the perpendicular line is the negative reciprocal of the given line.
Step 1: Define
Identify.
\(\displaystyle y = \frac{-3}{2}x - 14\)
Step 2: Find
[Equation] Identify variables [Slope-Intercept Form]: \(\displaystyle m = \frac{-3}{2} ,\ b = -14\)Negative reciprocate m: \(\displaystyle m_{\text{perp}} = \frac{2}{3}\)The average teacher's salary in New Jersey (ranked first among states) is $52,174. Suppose that the distribution is normal with standard deviation equal to $7500. a. What is the probability that a randomly selected teacher makes less than $50,000 a year?
If we sample 100 teachers' salaries, what is the probability that the sample mean is less than $50,000?
a. The probability corresponds to the area under the standard normal curve to the left of the z-score. b. the probability associated with this z-score, which corresponds to the area under the standard normal curve to the left of the z-score.
a. The probability that a randomly selected teacher in New Jersey makes less than $50,000 a year can be calculated using the standard normal distribution. We need to standardize the value of $50,000 using the given mean and standard deviation.
First, we calculate the z-score, which measures the number of standard deviations a value is away from the mean:
z = (X - μ) / σ
Where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
In this case, X = $50,000, μ = $52,174, and σ = $7,500.
z = (50,000 - 52,174) / 7,500
Now, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score. The probability corresponds to the area under the standard normal curve to the left of the z-score.
Let's assume that the probability is denoted by P(Z < z). Using the standard normal distribution table or calculator, we can find the corresponding probability value.
b. If we sample 100 teachers' salaries, we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean. The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
In this case, we can assume that the population distribution is approximately normal, so the sampling distribution of the sample mean will also be approximately normal.
The mean of the sampling distribution of the sample mean is equal to the population mean, which is $52,174. The standard deviation of the sampling distribution, also known as the standard error of the mean, is equal to the population standard deviation divided by the square root of the sample size.
In this case, the population standard deviation is $7,500 and the sample size is 100.
Standard error of the mean = σ / sqrt(n) = 7,500 / sqrt(100) = 7,500 / 10 = 750
To find the probability that the sample mean is less than $50,000, we need to standardize the value of $50,000 using the mean and standard error of the sampling distribution.
z = (X - μ) / SE
Where X is the value we want to find the probability for, μ is the mean of the sampling distribution, and SE is the standard error of the mean.
In this case, X = $50,000, μ = $52,174, and SE = $750.
z = (50,000 - 52,174) / 750
Now, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score, which corresponds to the area under the standard normal curve to the left of the z-score.
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If the area of a rectangle is 42 in ^2, list all possible natural number dimensions of the rectangle
Answer:
1 x 422 x 213 x 146 x 77 x 614 x 321 x 242 x 1
Step-by-step explanation:
Area = W x L
Area = 42
1 x 422 x 213 x 146 x 77 x 614 x 321 x 242 x 1all give 42 as a result
A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?
Answer: 3ft squared
Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.
which statement about random sampling is true? responses random sampling helps to increase sample size. random sampling helps to increase sample size. random sampling helps to decrease sample size. random sampling helps to decrease sample size. random sampling helps to increase bias. random sampling helps to increase bias. random sampling helps to reduce bias.
The statement "random sampling helps to reduce bias" is true. Random sampling is a statistical technique where each member of the population has an equal chance of being included in the sample.
How this statement is true?By randomly selecting participants, the sample is more likely to be representative of the population, which helps to reduce bias.
Random sampling helps to reduce bias because it eliminates systematic bias, which can occur when certain individuals or groups are overrepresented or underrepresented in the sample.
For example, if a researcher only sampled individuals from a certain demographic group, the results of the study may not be generalizable to the larger population.
Random sampling also helps to increase the precision of the estimate of the population parameter, as it reduces the variability in the sample. This allows researchers to draw more accurate conclusions about the population based on the sample data.
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Please help me get the answer
Answer:
b = 40°
Step-by-step explanation:
Since PQ = RQ, then Δ PQR is isosceles
Thus the 2 base angles are congruent
∠ PRQ = 180° - 140° = 40° ( adjacent angles are supplementary )
Then
∠ QPR = ∠ PRQ = b = 40°
Answer:
40 degrees
Step-by-step explanation:
The image says that PQ=RQ which makes this triangle isosceles. To solve you must remember that in isosceles triangles the two base angles are always congruent. In this case, the two bottom angles are the bases. So we must first solve for m<QRP. To do this use complementary angles to make the equation m<QRP=180-140. So m<QRP=40 which means b=40 also.
In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours
Answer:
-15 degrees
Step-by-step explanation:
3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs
1. If x = 1 and y = 7, evaluate x+y/4
Answer:
2
Step-by-step explanation:
given x=1 and y=7
now, given expression ,
x+y/4
by putting the values of the x and y ,we get
x+y/4
= 1+7/4
= 8/4
= 2 (Ans.)
A spring is attached at one end to support B and at the other end to collar A represented in the figure. Collar A slides along the vertical bar between points C and D. In the figure, the angle is the angle created as the collar moves between points Cand D. When the spring is stretched and the distance from point A to point Bis 5.3 feet, what is the value of e to the nearest tenth of a degree? 3 ft B 00000 А
The Distance from point A to point B is: 3.4 ft when θ = 28° and The value of θ is: 54.8°
Given,
A spring is attached at one end to support B and at the other end to collar A.
Part A: Reference angle (θ) = 28°
We have to find out the distance of point A to point B.
Adjacent = 3 ft (given)
Apply the trigonometry function to find AB
cos θ = adj / hypotenuse
Substituting all the values ,
cos 28°= 3/AB
AB = 3/cos 28°
AB = 3.4 ft (nearest tenth of a foot)
Part B:
It is given that Distance from point A to point B is 5.2 feet
We have to calculate the Value of θ
adjacent = 3 ft
hypotenuse = AB = 5.3 ft
To find θ , We will again apply the trigonometry function
cos θ = adjacent/hypotenuse
Substituting all the given values
cos θ = 3/5.3
θ = cos⁻¹ ( 3 / 5.3)
θ = 54.8°
That is,
The length of point A to point B is 3.4 feet
The value of θ is 54.8°
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Write the slope-intercept form of the equation of the line described.
1) through (2, 2), parallel to y=x+4
Answer:
Slope intercept form: y=mx+b; where m is the slope and B is the y intercept
For 2 lines to be parallel they must have the same slope. Thus, the slope of the new line is going to be 1.
To find the y intercept plug in the slope and the x, y into the equation y=mx+b:
y=mx+b
y=1x+b
2=1(2)+b
2=2+b
0=b
b=0
Now that we have your slope and y intercept we can make the equation:
y=1x+0
y=x
Step-by-step explanation:
Express \(\frac{x}{x+2} +\frac{2x}{x-4}\)as a single fraction in its simplest form.
Answer:
\(\frac{3x^2}{(x+2)(x-4)}\)
Step-by-step explanation:
Before adding the fractions we require them to have a common denominator.
Multiply numerator/ denominator of first fraction by x - 4
Multiply numerator/ denominator of second fraction by x + 2
= \(\frac{x(x-4)}{(x+2)(x-4)}\) + \(\frac{2x(x+2)}{(x+2)(x-4)}\) ← expand and simplify numerators, leaving common denominator
= \(\frac{x^2-4x+2x^2+4x}{(x+2)(x-4)}\)
= \(\frac{3x^2}{(x+2)(x-4)}\)
12/c= 3/2
what does c equal
show work.
Answer:
12/c= 3/2
c = 3/2×12
c = 18
Hope it helps!
Answer:
c = 8
Step-by-step explanation:
Here we are solving for c in the equation 12/c=3/2
We can use our basic multiplication rules to figure this one out.
12 / 3 is 4, meaning four multiples of 3 go into 12. This means, four multiples of 2 go into c.
4 * 2 = 8, giving us our value for C.
To verify this, we can simplify 12/8 and would still end up with 3/2.
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if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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