Which relationship have the same constant of proportionality between y and x as the following graph choose 2 answers

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer: 3.60 cg

Step-by-step explanation:

just did the assignment

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

cats constitute the same fraction of animals adopted as not adopted

(i am actually not that sure)

Answer:

a

Step-by-step explanation:

as mamy cats as dogs are addopted

Answer:

x=6

Step-by-step explanation:

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

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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Answer:

16

Step-by-step explanation:

n=4

subset=2^n

=2^4

=16

Answer:

r = 3

Step-by-step explanation:

Using the normal distribution, it is found that the probabilities are given as follows:

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the parameters are given as follows:

\(\mu = 28.29, \sigma = 33.493, n = 52, s = \frac{33.493}{\sqrt{52}} = 4.6446\)

The probability that the mean is less than 29 million is the p-value of Z when X = 29, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{29 - 28.29}{4.6446}\)

Z = 0.15

Z = 0.15 has a p-value of 0.5596.

Hence, \(P(\overline{x} < 29) = 0.5596\).

The probability that the mean is more than 26 million is the 1 subtracted by the p-value of Z when X = 26, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{26 - 28.29}{4.6446}\)

Z = -0.49

Z = -0.49 has a p-value of 0.3121.

1 - 0.3121 = 0.6879.

Then, \(P(\overline{x} > 26) = 0.6879)\).

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The total number of fish in the lake would be = 60 fishes

The total of a data set is the addition of the various components that makes up a data set which gives a particular value.

On the first day the number of fish that was marked by the fisher man = 50 fishes.

On the second day the total amount of fishes that was caught = 80 fishes

The number of fishes that where among the 80 fishes that are marked= 20

Therefore the total amount of fishes in the lake = 80 - 20

= 60 fishes.

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Given:

The table and the relative frequency histogram show the distribution of the number of tails and three coins are tossed.

To find:

The probability \(P(T=3)\).

Solution:

In the given table T represents the number of tails.

From the given table it is clear that the value of probability is \(\dfrac{1}{8}\) and \(T=3\). So,

\(P(T=3)=\dfrac{1}{8}\)

Therefore, the probability \(P(T=3)\) is equal to \(\dfrac{1}{8}\).

Answer:

x=35

Step-by-step explanation:

Add 56 to both sides of the equation

2x-56+56=14+56

Simplify

2x=70

Divide both sides of the equation by the same term

2x/2=70/2

Simplify

x=35

Solve, 2x - 56 = 14

=> 2x - 56 = 14

=> 2x = 14 + 56

=> 2x = 70

\( = > x = \frac{70}{2} \)

( 2 × 35 = 70 )

=> 35

Answer:

12.6

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

12.6

Step-by-step explanation:

0.12*105=12.6

Answer:

38.3% of the people taking the test score between 400 and 500

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 450, \sigma = 100\)

What percentage of the people taking the test score between 400 and 500

We have to find the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 400. So

X = 500

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{500 - 450}{100}\)

\(Z = 0.5\)

\(Z = 0.5\) has a pvalue of 0.6915

X = 400

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{400 - 450}{100}\)

\(Z = -0.5\)

\(Z = -0.5\) has a pvalue of 0.3085

0.6915 - 0.3085 = 0.383

38.3% of the people taking the test score between 400 and 500

Answer:

acute triangle

if i m wrong please dont mind and

correct me

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

From the question, we have the following parameters that can be used in our computation:

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answer:

Step-by-step explanation:

so d = 2r which means r = 5cm.

A = πr^2 = π(5)^2 = 25π =  (25)(3.14) = 78.5 cm^2.

So input 78.5

Answer:

see below

Step-by-step explanation:

so d = 2r which means r = 5cm.

A = πr^2 = π(5)^2 = 25π =  (25)(3.14) = 78.5 cm^2.

So input 78.5

HOPE IT HELPS YOU

There are 48 fluid ounces of water Scott drink.

An ounce is a unit of measurement of weight or mass in both the US customary system and the British imperial system. In the US customary system, one fluid ounce of water weighs about 1.04 ounces (oz).

Each day, Scott consumes 48 fluid ounces of water.

To convert cups to fluid ounces, we need to multiply the number of cups by 8 (as there are 8 fluid ounces in one cup).

So, 6 cups of water is equal to:

6 cups × 8 fluid ounces per cup = 48 fluid ounces

Therefore, there are 48 fluid ounces of water Scott drink.

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Answer:

i think its 3 in all the boxes but trying is better than not ig wait no nvm

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The equation of the tangent line at (1,1) is given as follows:

y - 1 = -0.25(x - 1).

The curve for this problem is given as follows:

x² - y² = 2x + y + xy - 4.

Applying implicit differentiation, we obtain the slope of the tangent line, as follows:

2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y

(dy/dx)(1 + x + 2y) = 2x - 2 - y

m = (2x - 2 - y)/(1 + x + 2y).

At x = 1 and y = 1, the slope is given as follows:

m = (2 - 2 - 1)/(1 + 1 + 2)

m = -0.25.

Hence the point-slope equation is given as follows:

y - 1 = -0.25(x - 1).

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If the distribution of professional baseball player salaries has a mean of $3.2 million. the test statistic and P-value for this significance test is :A. t = 1.83 and 0.025 < P-value < 0.05.

We will use a t-test to determine whether the sample mean salary of baseball players on the East Coast is significantly different from the population mean salary of $3.2 million, given a sample of 30 players with a sample mean of $3.9 million and a standard deviation of $2.1 million.

The null hypothesis is that the mean salary for baseball players on the East Coast is $3.2 million, while the alternative hypothesis is that it is different from $3.2 million.

The test statistic for this hypothesis test is:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

t = (3.9 - 3.2) / (2.1 / sqrt(30)) = 1.83

To find the P-value for this test, we need to determine the degrees of freedom (df) for the t-distribution. Since the sample size is 30, df = 30 - 1 = 29. Using the t-table with 29 degrees of freedom and a two-tailed test at the alpha level of 0.05, we find that the critical values are ±2.045.

The P-value for the test is the probability of getting a t-value as extreme as 1.83 or more extreme, given the null hypothesis. We can find this probability using the t-table or a statistical software program. Using the t-table with 29 degrees of freedom, we find that the area to the right of 1.83 (corresponding to the alternative hypothesis of a greater mean salary) is between 0.025 and 0.05.

Therefore, the correct answer is A. t = 1.83 and 0.025 < P-value < 0.05. This indicates that there is some evidence to suggest that the mean salary for baseball players on the East Coast is different from $3.2 million.

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