Find the perimeter of the square:

28

Answer:

the answer is 20

Step-by-step explanation:

in the question they want the shortest side length of the triangle and they gave you the perimeter.

what we want to find is the x value.

so,

perimeter= the sum of all sides.

substituting,

80= 5x + 32 + 2 (3x+2)

80= 5x +32+6x+4

80=11x+36

80-36=11x

44=11x

44/11=x

4=x

so, the value of x is 4. then we substitute the 4 in each x to find our shortest length.

5*4=20

32

2 (3*4+2)=28

so the shortest length is 20.

we can also check our answer to see if it is correct.

20+33+28= 80.

Answer:

3c-9d+7c+5d becomes this when it is simplified  10c - 4d

Step-by-step explanation:

Answer:the answer is x=5,-3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

is the circumference or perimeter of a cylinder

d=r×r

Answer:

64 [tex]cm^{2}[/tex]

Step-by-step explanation:

l x w = area

8 x 8 = 64

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, [tex]\overline x _1[/tex] = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, [tex]\overline x _2[/tex] = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

[tex]\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

[tex]t_{(0.025, \, 18)}[/tex] = 1.734

[tex]C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}[/tex]

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

[tex]t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

[tex]t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147[/tex]

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

Answer:

(H)

Step-by-step explanation:

Less than signs are <

Greater than signs are >

Since in this case x is the number

7 has to be less than x which is x<7

Answer:

f

Step-by-step explanation:

Answer:

x≥11

Step-by-step explanation:

The information provided indicates that you have to hike minimum 11 miles each day to be able to complete the trip in the time you have and this means that the number of miles you hike each day has to be greater than or equal to 11 and this can be expressed as:

x≥11, where:

x is the number of miles you must hike each day.

Answer:

A. 5 units

Step-by-step explanation:

since the y-coordinate is the same, then you would subtract the x-coordinates.

-6-(-1)=5

hope this helps, have a nice day :)

Answer:

Amount earn by Maya for teaching English in 5 hour = $200

Step-by-step explanation:

Given:

Amount Maya earn in 1 hour for teaching English = $40

Find:

Amount earn by Maya for teaching English in 5 hour

Computation:

Assume;

Per hour earning = E

Number of total hour = h

Total earning = Per hour earning x Number of total hour

Total earning = (E)(h).

So,

Amount earn by Maya for teaching English in 5 hour = 5 x 40

Amount earn by Maya for teaching English in 5 hour = $200

Step-by-step explanation:

Let x be the number of designer T shirts.

To break even,

Total Cost = Total Sales

Fixed Cost + Variable Cost = Total Sales

given the promotional advertising is classified under fixed cost,

[tex]500 + 4.25x = 15x \\ 15x = 500 + 4.25x \\ 15x - 4.25x = 500 \\ 10.75x = 500 \\ x = 500 \div 10.75 \\ = 46.5 \\ = 47 \: (round \: off \: to \: nearest \: whole \: number)[/tex]

Answer: $2,000. + 25% + $10,000= 12,500 Or  $2,000. - 25% - $10,000=8500

Step-by-step explanation:

Answer: $4,500

Step-by-step explanation: First, the monthly salary is $2,000 so this is part of the total already. The 25% commission is on the profit they earn and the profit they earned was $10,000. To find 25% of $10,000, you do 10,000 times 0.25 which is $2,500.

Total Earned: $2,000 (Monthly Salary) + $2,500 (Commission Amount) = $4,500

Answer:

55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!

Step-by-step explanation:

Answer: A)Area=1/2bh, 1/2x12x9=1/2x108,108/2=54cm2.

B)If the base doubles the original Area doubles.

C)If both the Height and the base is doubled then the Area will Quadruple.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

just add them unless you have to find the numbers for the 2 little squares

Answer:

27

Step-by-step explanation:

cut shapes. then 6x2 is 12, 3x5 is 15, then add

Answer:

960 minutes

Step-by-step explanation:

If there are 24 hours a day with 60 minutes then there are 1440 hours a day.

There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]

it is 690 minutes per 16 hours

Answer:

Hello There!!

Step-by-step explanation:

You multiply 0.7 by 60 which is 42 seconds.

hope this helps,have a great day!!

~Pinky~

Answer:

3

Step-by-step explanation:

It shows it in the picture

sin z= z/y

cos z= x/y

tan z= z/x

Answer:

(4x+2)+(2x+3)=6x+5

Step-by-step explanation:

(4x+___)+(2x+3)=6x+5

4x+2x=6x

5-3=?

5-3=2

2

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer: $24.2

Step-by-step explanation:

The total cost will be gotten by adding the cost of the sweater and the tax. This will be:

Cost of sweater = $22.95

Tax = 5.5% × $22.95 = 0.055 × $22.95 = $1.26225

Total cost of the sweater = $22.95 + $1.26225 = $24.21225

= $24.2 to nearest cent

Answer:

5.5% of 22.95 is about 1.26

22.95 + 1.26 = 24.21

$24.21

Step-by-step explanation:

Answer:

Step-by-step explanation:

31 btw your pfp is cute

Answer:

B) 12.6π ; 39.6

Step-by-step explanation:

Circumference:

C = 2πr

C = 2(3.14)(6.3)

C = 6.28(6.3)

C = 39.6

C = 2πr

C = 2π6.3

C = 12.6π

its a or b, sorry im not much help

Answer:

b

Step-by-step explanation:

25 divided by 25 equals 1

375 divided by 25 equals 15

Answer:

150

Step-by-step explanation:

I guess you're asking percentage of 3/2 into percentage so I took 3/2 × 100 to change it into percentage form and I got 150 if it's not the answer please tell me right away.