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(25 points) A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent

Tresset [83]

Answer:

L=193

Step-by-step explanation:

Initial length of the road =57mi

L= Total length

D=number of days worked

Number of miles added in 1 day= 4mi

Therefore,

L=57+D*4

After 34 days,

L=57+(34*4)

L=193mi

8 0

3 years ago

PLEASE CAN ANYONE HELP!!!

DiKsa [7]

Answer:

x = 3

y = 4

hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.

Step-by-step explanation:

-3x + 2y = 23

5x + 2y = -17

X solution:

(you cancel the y)

-3x = 23

5x = -17

(you combine all the values above with those below)

2x = 6

(solve the ecuation normaly)

x = 6/2 = 3

Y solution:

(you replace the x)

-3(3) + 2y = 23

5(3) + 2y = -17

-9 + 2y = 23

15 + 2y = -17

(you combine all the values above with those below)

6 + 4y = 6

(solve the ecuation normaly)

4y = 0

y = 4

(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)

6 0

2 years ago

Read 2 more answers

A particular frozen yogurt has 75 calories in 2 ounces how many calories are in 8 ounces of the yogurt

Sveta_85 [38]

Hello there! If you know basic division, then you know that 8/2 is 4. With 75 calories being in 2 ounces of yogurt, all we have to do is multiply by 4 to get the amount of calories in 8 ounces of yogurt, because 2 * 4 is 8. Plus for this scenario, whatever we do to one part, we must do to the other. Let's solve. 75 * 4 is 300. There. There are 300 calories in 8 ounces of yogurt.

7 0

3 years ago

Can someone help me

Sloan [31]

Answer:

The volume is 75

Step-by-step explanation:

because the volume is the width, length, and height, add them together.

7 0

2 years ago

Read 2 more answers

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

2 years ago

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