Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2). How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position?

Answer:

8x = 24

Step-by-step explanation:

[tex]x = \text{The fabric he used to make the seat cover}[/tex]

Then, since he used 8 times as much fabric to make the tent then

[tex]\text{Fabric needed for the tent} = 8x = 24[/tex]

Therefore your equation would be [tex]8x = 24[/tex]

To find the amount of fabric Carl used for the seat cover, the equation is 8x = 24. The variable x represents the amount of fabric for the seat cover, and 24 is the total yards of fabric used for the tent.

Carl used some fabric to make a seat cover. Then he used 8 times as much fabric to make a tent. He used 24 yards for the tent. To write an equation to represent this situation, let's designate the amount of fabric used for the seat cover as x.

According to the problem statement, the tent required 8 times more fabric than the seat cover. Therefore, we can write the equation as:

8x = 24

Where:

This equation can now be solved to find out the amount of fabric Carl used to make the seat cover.

Answer:

its c 20% on e2020

Step-by-step explanation:

Answer:

1) A. H0: μ ≥ 7.2; H1: μ < 7.2

2) D. Reject H0 if z < –1.645

3) [tex]t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573[/tex]  

4) [tex]p_v =P(z<-6.573)=2,47x10^{-11}[/tex]  

Step-by-step explanation:

Information provided  

[tex]\bar X=6.2[/tex] represent the sample mean for the number of movies watched last month

[tex]\sigma=0.9[/tex] represent the population deviation

[tex]n=35[/tex] sample size selected

[tex]\mu_o =7.2[/tex] represent the value that we want to test    

[tex]\alpha[/tex] represent the significance level for the hypothesis test.    

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

1) System of hypothesis

We want to check if college students watch fewer movies a month than high school students, and the best system of hypothesis are:

Null hypothesis:[tex]\mu \geq 7.2[/tex]      

Alternative hypothesis:[tex]\mu < 7.2[/tex]      

A. H0: μ ≥ 7.2; H1: μ < 7.2

2) Decision rule

For this case we are ocnduting a left tailed test so then we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the left and we got:

[tex]z_{crit}= -1.645[/tex]

And the rejection zone would be:

D. Reject H0 if z < –1.645

3) Statistic

Since we know the population deviation the statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)      

Replacing we got:

[tex]t=\frac{6.2-7.2}{\frac{0.9}{\sqrt{35}}}=-6.573[/tex]      

4) P value

We have a left tailed test then the p value would be:      

[tex]p_v =P(z<-6.573)=2,47x10^{-11}[/tex]  

Final answer:

The correct null and alternate hypotheses are H0: μ ≥ 7.2 and H1: μ < 7.2, respectively. Reject the null hypothesis if z < -1.645. The computed test statistic is approximately -7.378, suggesting a p-value near zero and thus, we can conclude that college students watch fewer movies on average.

Explanation:

In order to determine whether college students watch fewer movies a month than high school students, we should set up a hypothesis test comparing the college students' mean number of movies watched to the known population mean for high school students.

Step 1: State the null and alternate hypotheses.

The correct hypotheses would be A. H0: μ ≥ 7.2; H1: μ < 7.2 since we are testing if the college students watch fewer movies, which is a one-tailed test.

Step 2: State the decision rule.

The correct decision rule at the 0.05 significance level for a left-tailed test would be D. Reject H0 if z < – 1.645.

Step 3: Calculate the test statistic.

Using the formula for the z-test, z = (sample mean - population mean) / (population standard deviation / √ sample size), we calculate z = (6.2 - 7.2) / (0.9 / √35) ≈ – 7.378. Thus, the test statistic z is approximately -7.378.

Step 4: Find the p-value.

With a z-score as extreme as – 7.378, the p-value is near zero, implying strong evidence against the null hypothesis.

Answer:

x = 5 (check the diagram included)

Step-by-step explanation:

The question is incomplete, I have included a diagram to aid the understanding of the question

Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal

From the attached figure, we have:

|FG| = 3x + 10, |HE| = 7x - 30

To calculate for the value of x that makes the quadrilateral a parallelogram, we have:

Remember the opposite sides of a parallelogram are equal

3x + 10 = 7x - 30

3x - 7x = 10 - 30

-4x = -20

x = 20 ÷ 4

x = 5

x = 5 makes the quadrilateral a parallelogram

Answer:

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

Answer:

is D

Step-by-step explanation:

for egny

Alan made an error in subtracting the x-coordinates without considering their signs. The correct method to find the distance between two points on the same horizontal line is taking the absolute value of the difference of the x-coordinates. Thus, the actual distance from point A to point B is 11 units.

Alan made an error in calculating the distance between point A(-8,-4) and point B(3,-4). The error is in the subtraction, as he should have taken the absolute value of the difference of the x-coordinates of points A and B because the y-coordinates are the same. To find the distance between two points on a coordinate plane, the correct formula when points lie on the same horizontal line (same y-coordinates) is the absolute difference of the x-coordinates. Therefore, the actual distance is calculated as follows:

|x2 - x1| = |3 - (-8)| = |3 + 8| = 11 units

So, the actual distance from point A to point B is 11 units.

Answer:

82 divided by 5 = 16.4

Step-by-step explanation:

you divide 82 by 5 and get 16.4 or 82 divided by 10= 8.2

They do first they split up the ten bills and it is 8.0.

We have given that,

Five friends are sharing 82 dollars they keep a record

82 divided by 5

[tex]\frac{82}{5} = 16.4[/tex]

You divide 82 by 5 and get 16.4,

After the split up to ten bills is given by,

A split is a situation in a particular frame of a ten-pin bowling game where the player throws the ball and knocks the headpin

82 divided by 10

[tex]\frac{80}{10} =8.0[/tex]

They do first they split up the ten bills.

To learn more about the split visit:

https://brainly.com/question/1325044

#SPJ2

you will need

2 gallons lime soda

1 gallon icecream

and 4 gallons lemonade

Answer:

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Step-by-step explanation:

The volume of a box can be written as;

V = l×b×h

Where;

Length = l

Breadth = b

Height = h

Let x represent the length of the cube cut out of the four edges.

Using the attached image;

Length l = 15 - 2x

Breadth b = 7 - 2x

Height h = x

Substituting the values to the volume equation;

V = (15-2x)(7-2x)(x)

V = 105x - 30x^2 - 14x^2 + 4x^3

V = 105x - 44x^2 + 4x^3

At Maximum volume, V' = dV/dx = 0

V' = 105 - 88x + 12x^2 = 0

Solving the quadratic equation, we have;

x = 5.83 or x = 1.50

x cannot be 5.83 since 2x > 7 (greater than the breadth of cardboard)

Therefore ;

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Precalc/Trig is easy. SO please mark me as BRAINLIEST

You first calculate the sample mean, or μ_bar, of the data. Given it's a Poisson distribution, the mean is equal to the variance, giving your standard deviation. Finally, for a 95% CI, you apply the Z score to the formula μ_bar ± Z*(sqrt(μ_bar/n)) to obtain your confidence interval.

The subject is related to Poisson distribution and the calculation of a confidence interval (CI) for the population mean (µ).

Firstly, we calculate the sample mean that is the total number of instances divided by the number of days:

This gives us the sample mean, µ_bar.

Given the data follows a Poisson distribution, the mean and the variance are equal (µ = variance). For a Poisson distribution, the variance is equal to µ divided by n, hence we get the standard deviation as sqrt(µ/n).

For a 95% CI, Z = 1.96 (from the standard normal table). Our CI will therefore be µ_bar ± Z*(sqrt(µ_bar/n)).

Since n is large, the distribution can be assumed to be approximately normal and the CI can be treated as reliable.

https://brainly.com/question/33722848

#SPJ12

To calculate a 95% confidence interval for a Poisson distributed data set, first calculate the sample mean. Consider the variance of Poisson equals to its mean, the standard error would be square-root of (mean divided by sample size). Using z-score of ±1.96 for 95% confidence level, solve for mean in both inequalities will give the interval.

The question pertains to deriving a 95% confidence interval for the mean (µ) of a Poisson distributed data set. In this case, the data set provided represents the number of teacher absences in a school district over 50 days.

Firstly, you will need to calculate the sample mean by multiplying each absence by its frequency, sum those up, then divide the sum by the total number of observations. This serves as an estimator for the Poisson mean µ.

Considering that the variance of a Poisson variable equals to its mean µ. The standard error would then be √(µ/n), where n is the number of observations. For a 95% interval, Z should be approximately ±1.96.

The confidence interval can be calculated using the standard formula for a large sample size:

Z = ±1.96 = (X - µ)/√(µ/n)

Solving for µ in both inequalities will give you the confidence interval.

For more such questions on confidence interval, click on:

https://brainly.com/question/2141785

#SPJ6

Answer:

you live on the 21st floor

Step-by-step explanation:

46-4=42 (level -2 to ground level)

42÷2=21

Answer:

0.8 or .8

Step-by-step explanation:

multiply the top and bottom by 10

so 8/10=80/100

to get the decimal form, just divide 8 by 10 and it should give you 0.8

Answer:

f(x) + g(x)  =  -2x^2 - 2x + 8

Step-by-step explanation:

Given:  f(x) = 3x+5 and g(x) = -2x^2-5x+3

Find  f(x) + g(x)

f(x) + g(x)  = 3x + 5 + (-2x^2 - 5x + 3)

f(x) + g(x)  =  5 + -2x^2 - 2x + 3

f(x) + g(x)  =  -2x^2 - 2x + 8

Answer:

  (f+g)(x) = -2x^2 -2x +8

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (3x +5) +(-2x^2 -5x +3)

(f+g)(x) = -2x^2 -2x +8

Answer:

27 dollars

Step-by-step explanation:

On one side he had 175

One the other side he has 6 books and 13 dollars

175 = 6b+13

Subtract 13 from each side

175 -13 = 6b+13-13

162 = 6b

Divide each side by 6

162/6 = 6b/6

27 = b

Each book is 27 dollars

Answer:

[tex]Length\hspace{3}of\hspace{3}the\hspace{3}beam=y=21.3ft[/tex]

Step-by-step explanation:

Look the picture I attached you. As you can see the beam against the wall form a right triangle. The trigonometry functions on a right triangle are:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\hspace{10}csc(\theta)=\frac{hypotenuse}{opposite}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\hspace{10}sec(\theta)=\frac{hypotenuse}{adjacent} \\\\tan(\theta)=\frac{opposite}{adjacent} \hspace{20}cot(\theta)=\frac{adjacent}{opposite}[/tex]

The problem give us the following data:

[tex]y=9sec(\theta)[/tex]

Using the previous information about the trigonometry functions on a right triangle and the data provided by the problem you can conclude:

[tex]y=Hypotenuse\\Adjacent=9\\\theta=65^{\circ}[/tex]

Therefore:

[tex]y=9sec(65^{\circ})=9*(2.366201583)=21.29581425\approx21.3ft[/tex]

The length of the beam for the given situation is 21.3 ft.

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into as a collection of triangles.

Here, given function

y = 9. sec θ

put, θ = 65⁰

then, y = 9 X sec 65⁰

        y = 9 X 2.366

        y = 21.294 ft. ≈ 21.3 ft.

Thus, the length of the beam for the given situation is 21.3 ft.

Learn more about Trigonometry from:

https://brainly.com/question/13971311

#SPJ5

[tex] {x}^{2} + 2x + 26 = ( {x}^{2} + 2x + 26- 25) + 25 = \\ = (x + 1) ^{2} + 25[/tex]

The function f(x) = x² + 2x = 26 can be written as f(x) = (x + 1)² = 27.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

Given, f(x) = x² + 2x = 26.

f(x) = (x)² + 2(x)(1) + 1² = 26 + 1.

f(x) = (x + 1)² = 27.

learn more about completing the square method here :

https://brainly.com/question/4822356

#SPJ5

Answer:

The number is 30

Step-by-step explanation:

Let x be the number

2/3 x = 20

Multiply each side by 3/2 to isolate x

3/2 *2/3x = 20*3/2

x = 30

Answer:

10,000

Step-by-step explanation:  

10 x 10 = 100 when you do the power of 2, you multiply that number by itself.

Answer:

1

Step-by-step explanation:

All the numbers provided can have a factor of 1.

eg.)

1*24=24

1*14=14

1*21=21

This is because there is only one factor they all commonly share, 1.

Answer:

The answer is 1.

Step-by-step explanation:

Nothing else divides into the numbers other than 1.

Hope this helped!!

Answer: 8.5%

Step-by-step explanation:

This is simple interest.

The formula fie finding simple interest is

I = principal × rate × time

-------------------------------

100

I = PRT/100

From the given values,

P = $5,500, T = 4years, R = ?, I = $1,870

Now we shall change the formula which is fundamental or in situ to suit the rate R.we now have

I = PRT

----

100

PRT = I × 100

R. = I × 100

---------

P × T

= 1,870 × 100

---------------

5,500 × 4

= 1,870 × 25

------------

5,500

= 187000/4

-----------

5500

= 46750/5500

= 8.5%

Therefore, the imtetest rate at which the loan was calculated is

8.5%.

Answer:

both

Step-by-step explanation:

Answer:

First, our answer is 18 yards long.

Step-by-step explanation:

It is 18 yards long because first, we have 9, the length of Jamie's car.  Joey's car length is 27 feet. Then, since 1 foot converted is 0.333333...., it is very hard to convert so i turn it in to 9 foot converted into 3 yards. Then, both sides multiply by 3 so 27 foot equals to 9 yards. 9 yards+9 yards equals 18 yards.

Hope it helps Hailey!

Pls mark it brainliest.

Thx!

Answer:

We conclude that 50% of the accidents would be caused by drunk driving.

Step-by-step explanation:

We are given that the NSC claimed that 50% of the accidents would be caused by drunk driving.

A sample of 120 accidents showed that 67 were caused by drunk driving.

Let p = percentage of the accidents caused by drunk driving.

So, Null Hypothesis, [tex]H_0[/tex] : p = 50%      {means that 50% of the accidents would be caused by drunk driving}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 50%      {means that % of the accidents that would be caused by drunk driving is different from 50%}

The test statistics that would be used here One-sample z proportion statistics;

                    T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of accidents caused by drunk driving = [tex]\frac{67}{120}[/tex] = 0.56

           n = sample of accidents = 120

So, test statistics  =  [tex]\frac{0.56-0.50}{\sqrt{\frac{0.56(1-0.56)}{120} } }[/tex]  

                              =  1.324

The value of z test statistics is 1.324.

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to our null hypothesis.

Therefore, we conclude that 50% of the accidents would be caused by drunk driving.

Answer:

The answer is 16 ft

Step-by-step explanation:

The shape with the smallest possible perimeter for a given area is a circle but among quadrilaterals, it's a square. Given an area of 15 square feet, the length of each side of the square would be approximately 3.87 feet, and the perimeter would be approximately 15.49 feet.

The disciplines specified here is Mathematics, and the question is related to the correlation between an area and perimeter of a shape. In this case, the shape with the smallest possible perimeter for a given area would be a circle. However, if we only examine quadilateral shapes, then the shape with the minimum possible perimeter would be a square because a square is the quadrilateral that has the maximum area for a given perimeter.

If the area of the square is 15 square feet, then you can determine each side of the square by taking the square root of the area. The square root of 15 is approximately 3.87 feet. Now, to determine the perimeter of the square, you multiply this value by 4 because a square has four sides of equal length, hence perimeter is ~15.49 feet.

https://brainly.com/question/2582010

Answer:

1.12 meters

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

each week it grows 0.16 m

so,in 7 weeks it will grow 0.16*7m

Answer:

b 2.50 per 2 bottles of sprite

Step-by-step explanation:

Answer:

The answer is B.

2.50 per 2 bottles of sprite

Step-by-step explanation:

Answer:

  π/2 or 1.57 square units

Step-by-step explanation:

The area of a sector with central angle θ is given by the formula ...

  A = (1/2)r²θ

Filling in the given value, we find the area to be ...

  A = (1/2)(3²)(π/9) = π/2 . . . . square units

Using 3.14 for π, this is ...

  A = 3.14/2 = 1.57 . . . . square units