Complete 8,9 for 5-8 points.

Answer:

bro I think its 14

Step-by-step explanation:

si paps

The length of RT is 14 cm. Therefore, option D is the correct answer.

Given that, RS=9, ST=8, RT=s and ∠RST=111°.

The cosine formula to find the side of the triangle is given by: c = √[a²+ b²– 2ab cos C] Where a,b and c are the sides of the triangle.

Here, given a²= b²+ c²– 2bc cos A.

s²= 9²+ 8²– 2×9×8 cos111°

⇒s²=81+64+51.552

⇒s²=197.552

⇒s=14.05≈14 cm

Therefore, option D is the correct answer.

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Answer:

Option c. 252 square feet

Step-by-step explanation:

This question does not have figure, please find the figure attached below.

Area of the triangular sides  = [tex]2(\frac{1}{2}\times bh)[/tex]

                                              = [tex]2(\frac{1}{2}\times 3\times 4)[/tex]

                                              = 2(6)

                                              = 12 feet²

Area of the rectangular base = A = b × h

                                                = 20 × 3

                                                = 60 feet²

Area of the lateral side =  20 × 5

                                       = 100 feet²

Area of the vertical rectangular side = 20 × 4

                                                            = 80 feet²

Total surface area = 12 + 60 + 100 + 80

                              = 252 feet²

Total surface area of the triangular prism is 252 square feet.

Answer:

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The graph is of all the points such that y is 1/4 of x. So, for x=4, y=1, for example. Similarly, for x=-4, y=-1.

These, (4, 1) and (-4, -1), are two points on the graph, which is a straight line through those points and through the origin. The graph extends to infinity to the lower left and the upper right. A portion is shown below.

Answer:

Check the explanation

Step-by-step explanation:

Part a

H0: µ2≤µ1 versus H1: µ2>µ1

(Upper tailed test)

WE will consider differences as (New – Old).

From given data, we have

Dbar = 0.70

SD = 0.70

n = 5

Degrees of freedom = df = n – 1 = 5 – 1 = 4

Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]

t = (0.70 – 0)/[0.70/sqrt(5)]

t = 0.70/ 0.3130

t = 2.2361

Critical value = 2.1318

(by using t-table)

P-value = 0.0445

(by using t-table)

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the first attached image for the graphical table.

Part b

P-value = 0.0445

α = 0.01

P-value > α = 0.01

So, we do not reject the null hypothesis

There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.

Kindly check the second attached image for the graphical table.

Answer:

y = 0x + 1

When x=0, y = 1

Step-by-step explanation:

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

[tex]p_1=X_1/n_1=170/200=0.85[/tex]

The sample 2, of size n2=150 has a proportion of p2=0.7333.

[tex]p_2=X_2/n_2=110/150=0.7333[/tex]

The difference between proportions is (p1-p2)=0.1167.

[tex]p_d=p_1-p_2=0.85-0.7333=0.1167[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]P-value=2\cdot P(z>2.7)=0.0072[/tex]

As the P-value (0.0072) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Answer:

1/10

Step-by-step explanation:

there are 10 tiles and only 1 tile numbered 4 so 1 out of 10 tiles are numbered 4

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:

[tex]x=3\\y=-10[/tex]

Step-by-step explanation:

[tex]13x=-21-6y\\-8x=36+6y[/tex]

Let's take one of the equations and solve for x. I'll take the first one.

[tex]13x=-21-6y[/tex]

Divide by 13.

[tex]x=\frac{-21-6y}{13}[/tex]

Now replace x in the second equation.

[tex]-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y[/tex]

Distribute -8

[tex]\frac{168+48y}{13}=36+6y[/tex]

Break down the fraction.

[tex]\frac{168}{13}+\frac{48}{13}y=36+6y[/tex]

Subtract [tex]\frac{168}{13}[/tex]

[tex]\frac{48}{13}y=36+6y-\frac{168}{13}[/tex]

Subtract 6y

[tex]\frac{48}{13}y-6y=36-\frac{168}{13}[/tex]

Combine like terms;

[tex]\frac{48-13*6}{13}y=\frac{36*13-168}{13}[/tex]

Solve;

[tex]\frac{48-78}{13}y=\frac{468-168}{13}[/tex]

Keep solving;

[tex]\frac{-30}{13}y=\frac{300}{13}[/tex]

Multiply by the negative reciprocal of the fraction next to y.

[tex](-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )[/tex]

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

[tex]y=-10[/tex]

After having found y, replace it in any of the equations to find x.

[tex]13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3[/tex]

Answer:

x=3

y=-10

Step-by-step explanation:

13x=-21-6y...............(1)

-8x=36+6y................(11)

Add (11) to (1)

5x=15-6y+6y

5x=15

Divide both sides by 5

5x/5=15/5

x=3

Substitute x=3 in 13x=-21-6y

13(3)=-21-6y

39=-21-6y

Collect like terms

39+21=-6y

60=-6y

Divide both sides by -6

60/-6=-6y/-6

-10=y

y=-10

Answer: AC = 2.33

Step-by-step explanation:

use tangent to find the missing side

Tangent = opposite/adjacent

tan B = ?/5

tan 25 = ?/5

multiply each side by 5

? = 2.33153829.....

so

AC = 2.33

Answer:

  bisect each other.

Step-by-step explanation:

The midpoints are the same point, so the diagonals bisect each other.

__

More elaboration on a proof

The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.

Answer:

Y=x-3/4

Step-by-step explanation:

slope intercept form

(slope=x)(1x=x)

Answer:

The range is 5, there are no outliers.

Step-by-step explanation:

To find the range, just subtract the smallest number from the largest number. In this case, the largest number is 10 and smallest number is 5. 10 - 5 is 5 so there's your answer!

the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.

Answer:

the answer is either x=√3+5 or -√ 3+5

Step-by-step explanation:

split it into 2 equations

Answer:

(x-5)(x-5) =3

X^2 -5x -5x +25 = 3

x^2 -10x +22 = 0

x1 = (-b + sqrt(b^2 - 4ac))/2a

a=1

b=-10

c= 22

x1 = (10 +sqrt((-10)^2- 4(1)(22))/2(1)

x1 = (10 + sqrt(100-88))/2

x1= (10 + sqrt(22))/2

x1= (10 + sqrt(4) x sqrt(3))/2

x1=(10 + 2 x sqrt(3))/2

x1 =5 +sqrt(3)

x2 = (-b - sqrt(b^2 - 4ac))/2a

x2 = 5 - sqrt(3)

Answer is C

Step-by-step explanation:

Answer:

4(x+8)

Step-by-step explanation:

4x + 32

Factorization:

4x: 2×2×x

32: 2×2×2×2×2

Highest common factor: 2×2 = 4

4x + 32

(4×x) + (4×8)

Using distributive property:

4(x + 8)

Answer:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

Answer: Length is 16 ft. Width is 5 feet.

Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .

"Solve" for L. L= 3w +1

Write another equation for the formula of a perimeter. P=2L + 2w.

Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).

42 = 2(3w +1) + 2w. Solve this.

42= 6w +2 + 2w

42= 8w +2. Subtract 2 from both sides then divide both sides by 8.

W = 5

Substitute that into the first equation you wrote to get the Length.

L - 3(5) = 1

L -15 = 1. L = 1+15

L = 16

Answer:

2621440

Step-by-step explanation:

The 9th term of the geometric sequence 10, 40, 160, .........  will be 655,360.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

10, 40, 160, .........

The first term is 10 and the common ratio of the sequence will be given as,

r = 40 / 10

r = 4

Then the equation of the geometric sequence is given as,

aₙ = 10 · (4)ⁿ⁻¹

The 9th term of the geometric sequence will be given as,

a₉ = 10 · (4)⁹⁻¹

a₉ = 10 · 65,536

a₉ = 655,360

The 9th term of the geometric sequence 10, 40, 160, .........  will be 655,360.

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Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C.  Thus, C = 10, and the equation of the new line is

4x - 5y = 10

The equation of line is 4x - 5y = 10

A straight line's general equation is y = mx + c, where m is the gradient. On the y-axis, this number c is referred to as the intercept. Key Point y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Given the points (-5,-6)

and parallel to line 4x - 5y = 35...…..(1)

the equation of line is (y - y₁) = m( x - x₁)

for parallel line condition the value of m is equal to both equations

converting eq. 1 in the form of y = mx + c

4x - 5y = 35

we get y = 4/5x -7

here m = 4/5 and c = -7

substitute the value of m in  equation of line

where y₁ = -6; x₁ = -5

(y - (-6)) = 4/5(x - (-5))

y +6 = 4/5(x+5)

simplify above eq. we get

4x - 5y = 20

Hence the equation of  the line that passes through the point (- 5, - 6) is  4x - 5y = 20

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Answer:

z =2.76

Step-by-step explanation:

z - 2.3 = 0.46

Add 2.3 to each side

z - 2.3+2.3 = 0.46+2.3

z =2.76

Answer:

7/7

Step-by-step explanation:

Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)

Answer:90

Step-by-step explanation:

The minimum score she needs on her next quiz is 90

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

The mean value of the data set is the ratio of sum of data set's values to number of values it has.

If the data set consists of values

Mean = Sum of observations/the number of observations

[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]

Given;

Mean of 5 weeks= 92

Mean= (week 1 + week 2 + week 3 + week 4+ week 5)/number of weeks

         let, the score of next week be x

                  Mean = (92+96+94+88+x)/5

      putting the value of mean;

                     92= (370+x)/5        

                      460=370+x

                       x=460-370

                        x=90

In the next quiz jills need 90 score to get the mean of 92.

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Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

should be 20

Step-by-step explanation:

yes

Answer: She had added the Denominator, instead of finding the LCM.

Explanation: She should've multiplied them by a common number to equal a common Product, and replace the Denominator with the Product. (The correct denominator is 20, because 4 x 5 = 20, and 5 x 4= 20)

Answer:

Due to the higher z-score, Cade should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Whoever had the higher z-score.

Reyna:

Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.

This means that [tex]X = 75.3, \mu = 69.3, \sigma = 12[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{75.3 - 69.3}{12}[/tex]

[tex]Z = 0.5[/tex]

Kaitlyn:

Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.

This means that [tex]X = 228.4, \mu = 206, \sigma = 28[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{228.4 - 206}{28}[/tex]

[tex]Z = 0.8[/tex]

Cade:

Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that [tex]X = 7.88, \mu = 7.2, \sigma = 0.4[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.88 - 7.2}{0.4}[/tex]

[tex]Z = 1.7[/tex]

Due to the higher z-score, Cade should be offered the job.

Question:

Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.

a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.

b. Calculate the sample statistic xM - xE

c. Calculate a t-test statistic, using the given estimate of SE.

d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?

e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.

f. State the conclusion of the test in context, using nontechnical language.

Answer:

See explanation below

Step-by-step explanation:

a)  The null and alternative hypotheses are:

H0 : uM - uE = 0

H1 : uM - uE > 0

b) Calculating the sample statistic,

xM-xE, we have:

Given xM = 12.70 days

xE = 11.60 days

xM - xE = 12.70 - 11.60 = 1.10 days

Therefore sample statistic = 1.10

c) Calculating the test statistic, using the given estimate of SE, we have:

Given standard error, SE = 0.283

[tex] \frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89 [/tex]

Therefore, t test = 3.89

d) The correct degrees of freedom.

We have:

[tex]Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)[/tex]

df = 343

e) p-value:

Pvalue = P(Z > 3.89) = 0.00000602

Since p value is less than significance level of 0.05, we reject null hypothesis H0.

f) Conclusion:

There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.

Answer:

1469.52 cm3

Step-by-step explanation:

Area of a circle times the height of the cylinder.

Area of a circle = 3.14*6^2 = 113.04

113.04*13 = 1469.52 cm3

Answer:

b

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

20+36+40+80= 176

176/4= 44

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]

[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!