RV=y+27 and TV=3y–17, find RV in parallelogram RSTU.
T
S
R
U
V

The true population mean of yards per carry for all running backs, according to our 95% confidence level, is between 3.52 and 4.592 yards per carry.

We may use the Z-distribution to create a 95% confidence interval for the population mean because the population standard deviation is known and the sample size is more than 30.

The formula for the confidence interval is:

\(CI = x + Z\alpha /2 * \alpha /\sqrt{n}\)

Where is the population standard deviation, n is the sample size, x is the sample mean, Z/2 is the Z-score corresponding to the desired degree of confidence (in this example, 95%), and is the Z-score.

From the given data, we have:

Sample mean \((x) = 4.056\)

Population standard deviation \((\alpha ) = 1.35\)

Sample size \((n) = 25\)

Using a Z-table or calculator, we can find that the Z-score for a 95% confidence level is 1.96 (rounded to two decimal places).

When the values are added to the formula, we obtain:

\(CI = 4.056 + 1.96 * 1.35/x^{25}\)

\(CI = 4.056 + 0.536\)

\(CI = (3.52, 4.592)\)

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The answer is (1.5,6/10) and (15,6)

Answer:

If you mean 3 then 8,000, but if you mean -3 then .008

Step-by-step explanation:

The correct option is B. because information about the population is not known and using the SD might create a biased result. The standard deviation (SD) can be used to measure the variation within a sample.

It provides information on how tightly clustered or dispersed a set of data is around the mean. However, when using the t-test to compare means, the standard error of the mean (SEM) is used instead of the SD. This is because the t-test compares the means of two samples to determine whether the differences between them are statistically significant.

The SEM is a measure of the precision of the sample mean estimate. It is the SD of the sample means and is used to estimate the precision of the population mean. It takes into account the sample size and provides a more accurate estimate of the population mean. Since information about the population is not known and using the SD might create a biased result, SEM is preferred over the standard deviation in calculating the standard error of the mean.

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Answer:

4 1/2 inches

Step-by-step explanation:

if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches

Answer:

4.5

Step-by-step explanation:

12x=54 x=4.5

4.5×12=54

The distances between each pair of points are as follows:

1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0): √89 (exact value)

M = (-12, -1) and M = (4, 0): √257 (exact value)

4. (0, -8) and (3, 2): √109 (exact value)

3. (-1, 4) and (1, -1): √29 (exact value)

We may use the distance formula to calculate the separation between each pair of points:

d = √((x₂ - x₁)² + (y₂ - y₁)²),

where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.

Let's determine the separation between each pair of points:

1. (1, -4.6) and (3, -7):

d = √((3 - 1)² + (-7 - (-4.6))²)

= √(2² + (-2.4)²)

= √(4 + 5.76)

= √9.76

= 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0):

d = √((2 - (-6))² + (0 - (-5))²)

= √(8² + 5²)

= √(64 + 25)

= √89 (exact value)

M = (-12, -1) and M = (4, 0):

d = √((4 - (-12))² + (0 - (-1))²)

= √(16² + 1²)

= √(256 + 1)

= √257 (exact value)

4. (0, -8) and (3, 2):

d = √((3 - 0)² + (2 - (-8))²)

= √(3² + 10²)

= √(9 + 100)

= √109 (exact value)

3. (-1, 4) and (1, -1):

d = √((1 - (-1))² + (-1 - 4)²)

= √(2² + (-5)²)

= √(4 + 25)

= √29 (exact value)

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Answer:

3(n+6)

Step-by-step explanation:

3n+18= 3(n+6)

Answer:

the answer is that it is real rational integer

A. The point estimate from this sample is 124 bushels per acre as the point estimate. B.  Therefore, the margin of error would be 12 / 2 = 6 bushels per acre. C. The 99% confidence interval of 118 to 130 bushels per acre means that we can be 99% confident that the true mean yield of the new variety of corn falls within this range.

A. The point estimate is the best estimate of the true mean yield based on the sample data. In this case, the point estimate would be the midpoint of the confidence interval. Calculating the average of the upper and lower limits, we have (118 + 130) / 2 = 124 bushels per acre as the point estimate.

B. The margin of error is the range around the point estimate within which the true population mean is likely to fall. To calculate the margin of error, we take half the width of the confidence interval. In this case, the width of the interval is 130 - 118 = 12 bushels per acre. Therefore, the margin of error would be 12 / 2 = 6 bushels per acre.

C. The 99% confidence interval of 118 to 130 bushels per acre means that we can be 99% confident that the true mean yield of the new variety of corn falls within this range. It provides a range of values where the population mean is likely to be, based on the sample data. The 99% confidence level indicates that if we were to repeat the sampling process multiple times, 99% of the resulting confidence intervals would contain the true population mean yield.

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Based on the information, it can be inferred that this salesperson must make sales equivalent to $28,000 to obtain an equal profit with both options.

To find the amount of money that we must sell to have the same profit with both options we must carry out the following mathematical procedure.

1. We must calculate how much you would earn with option A in a week.

$28 * 40 = $1,120

2. We must make a rule of three to find a value of which 4% is equal to 1,120

Based on the above, the salesperson must sell $28,000 to make the same profit on both options in one week.

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We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

This means that the length of A'C' is 5 units, as this is the length of the segment AC.

Answer:

5 units

Step-by-step explanation:

I got it right on the test.

Answer:

1. y=3x-2 -> x= (y+2)/3

Step-by-step explanation:

You simply sub-in the m and b, then "reverse" the problem by doing the steps to get from the 2nd, to the first.

Answer:

Step-by-step explanation:

1.y=3x-2

2.y=2/5x+2

3.y=-1/2x+4

4.y=-4x+3

5.y=5x+18

8.y=-3/2+1

you didn't include 6 & 7 that's why i skipped them

hope this helped :)

Step-by-step explanation:

\( \sqrt{400} \\ 20\)

Step-by-step explanation:

Since they do not replace it the total amount of marbles are the same

Answer:

Step-by-step explanation:

Using the formula of compound interest, the number of years is approximately 11.6 years

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

In the given question, we have a formula;

\(A = P[1 + \frac{r}{n}]^n^t\)

Substituting the values into the formula;

\(A = P[1 + \frac{r}{n}]^n^t\\2 = 1[1 + \frac{0.06}{12}]^1^2^*^t\)

Solving for t;

t = 11.58 years

t = 11.6 years

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Answer:

3s + 4d ≥ 320

Step-by-step explanation:

$3 profit is for standard model (s), $4 profit is for deluxe.

s = # standards sold

d = # of deluxe sold

"at least" $320 means greater than or equal to (≥) $320

Answer:

4th Option isn't a function

Step-by-step explanation:

it is because a domain can't have two images in the co domain set

Hope it helps

Please mark as brainliest

Answer:

"D" (the fourth one....(7,1),(6,2)....

a "function" is a very specific relationship in math...

for a relationship to be "a function" every possible INPUT (x-values) has to map (correspond) to a UNIQUE output value (Y-value)

a line is a function (all x's have unique y values.

A circle is NOT ..... at the center (x-value) there are two y values (one above and one below)

in your problem answer "D" the "x-value" "5" has two different "y-values"

3 and 4

Step-by-step explanation:

The rains were especially damaging to Europe's food supply, rotting crops and spreading infections that affected cattle. The absence of a stable and adequate food supply resulted in starvation, which was the principal cause of said Great Famine of 1315-1322.

The bulk of Europe witnessed significant crop failure in 1314 and 1315. Before this, there had been a period of rapid population growth caused by agricultural development, which resulted in famine for a significant number of people. Around 5-12% of Northern Europe's population died from famine or accompanying illness.

Famine triggered class conflict and political unrest, destabilizing entire areas. Grain, wheat, grain, oats, bread, and salt were so expensive that many people also couldn't afford them even when they were available. To feed themselves, some abandoned their children and stole from and murdered others.

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The question is -

What was the primary cause of the great famine of 1315 - 1322? regional warfare disrupting agriculture an unprecedented series of locust swarms prolonged rainfall killing crops through flooding an extraordinary period of warmth.

Answer: It's option C, prolonged rainfall killing crops throughout flooding

Step-by-step explanation:

The value of a function is its point on the graph that corresponds to the value of the input variable.

Given that:

\(y = g(x)\)

(a) g(-2), g(0), g(3) and g(7)

From the graph, we have:

\(g(-2) = -3\)

\(g(0) = -3\)

\(g(3) = 4\)

\(g(7) = 0\)

So, we have:

\(g(-2) = g(0) = -3\)

\(g(3) = 4\)

\(g(7) = 0\)

(b) The values of x when g(x) = 0

These are the points where the graph crosses the x-axis.

The graph crosses the x-axis at: x = -3, 1, 5 and 7

Hence, the values of x are: -3, 1, 5 and 7

(c) The count of values of x for g(x) = 2

This is the number of times the graph passes g(x) = 2

The graph passes g(x) = 2, 4 times.

Hence, 4 values of x solve g(x) = 2

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Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2

The solution for the quadratic function by factoring x^2 +10x+9-0 is x = -1 and x = -9.

Given that the equation is x^2 +10x+9-0.

To solve the quadratic equation x^2 + 10x + 9 = 0 by factoring, follow the steps given below:

First we need to find two numbers that multiply to 9 and add to 10. These numbers are 1 and 9:

x^2 + 10x + 9 = (x + 1)(x + 9)

So the solutions to the equation are the values of x that make each factor equal to zero:

x + 1 = 0 or x + 9 = 0

Solving for x in each case, we get:

x = -1 or x = -9

Therefore, the solutions to the quadratic equation x^2 + 10x + 9 = 0 are  x = -1 and x = -9.

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Given:

A figure of a triangular prism.

Height of triangular base = \(9\dfrac{2}{3}\) yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

\(V=Bh\)              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

\(B=\dfrac{1}{2}\times base\times height\)

\(B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}\)

\(B=2\times \dfrac{29}{3}\)

\(B=\dfrac{58}{3}\)

Putting \(B=\dfrac{58}{3}\) and h=4 in (i), we get

\(V=\dfrac{58}{3}\times 4\)

\(V=\dfrac{232}{3}\)

\(V=77.33...\)

\(V\approx 77.3\)

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

Slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula for slope passing through two points (x1, y1) and (x2, y2)

m=y2-y1/x2-x1

Line m passes through the points negative 15.5 comma 0 and 0 comma 6.2.

(-15.5, 0) and (0, 6.2)

m=6.2-0/0-(-15.5)

m=6.2/15.5 =0.4

Line n passes through the points negative 5 comma negative 6.8 and 12 comma 0.

(-5, -6.8) and (12, 0)

m=0-(-6.8)/12-(-5)

m=6.8/12+7

m=6.8/19=0.357

Line p passes through the points negative 4 comma 8 and 4 comma negative 12.

(-4,8) and (4,-12)

m=-12-8/4-(-4)

m=-20/8=-2.5

Line q passes through the points 6.8 comma 13 and 12 comma 0.

(6.8,13) and (12, 0)

m=0-13/12-6.8

m=-13/5.2=-2.5

Line r passes through the points 6.8 comma 13 and 0.4 comma negative 3.

(6.8,13) and (0.4, -3)

m=-3-13/0.4-6.8

m=-16/-6.4=2.5

Hence slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The probability that the average NOX + NMOG level of these cars is above 91 mg/mi is 0.0000.

To find the probability that the average NOX + NMOG level of the 36 cars is above 91 mg/mi, we need to calculate the z-score and then find the corresponding probability using the standard normal distribution.

First, we calculate the standard error of the mean (SEM), which is the standard deviation divided by the square root of the sample size:

SEM = 5 / √36 = 5 / 6 = 0.8333

Next, we calculate the z-score using the formula:

z = (x - μ) / SEM

Where x is the desired value (91 mg/mi), μ is the mean (86 mg/mi), and SEM is the standard error of the mean.

z = (91 - 86) / 0.8333 = 6 / 0.8333 = 7.2003

Now, we can use a standard normal distribution table or calculator to find the probability corresponding to this z-score. The probability of the average NOX + NMOG level being above 91 mg/mi is the area under the curve to the right of the z-score.

Looking up the z-score in a standard normal distribution table, we find that the probability is approximately 0.0000.

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Answer:

-48

Step-by-step explanation:

Substitute 6 in for j and -4 for k

5k =jk

5(-4) + (6)(-4)

-20 + (-24)

-48