U Listen

Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder

3241004551 [841]

6.25 because 2.5+2.5= 5 and then half of 2.5 is 1.25 so 6.25

3 0

3 years ago

A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is

jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=8,364\ ft^2$

so

$8,364=LW$ ----> equation A

The screen is 20 feet longer than it is wide.

so

$L=W+20$ ---> equation B

substitute equation B in equation A

$8,364=(W+20)W$

solve for W

$8,364=W^2+20W\\W^2+20W-8,364=0$

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

$L=82+20=102\ ft$

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0

3 years ago

Mr Tom shared $300 between his two sons aged 15 years and 10 years in

Sonbull [250]

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

25 300

15 x = 300*15/25

x = 180

25 300

10 x = 300*10/25

x = 120

Son of 15 years $180

Son of 10 years $120

3 0

3 years ago

A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Ba

BartSMP [9]

Answer:

$12.6 < \mu < 14.8$

For this case we can find the margin of error like this:

$ME= \frac{14.8-12.6}{2}= 1.1$

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

$12.6 +1.1=13.7$

$14.8-1.1=13.7$

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=85-1=84$

We know that the confidence interval is given by:

$12.6 < \mu < 14.8$

For this case we can find the margin of error like this:

$ME= \frac{14.8-12.6}{2}= 1.1$

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

$12.6 +1.1=13.7$

$14.8-1.1=13.7$

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

3 0

3 years ago

Find x<br> options;<br> a) 21√2/2<br> b) 21√2<br> c) 21√3/2<br> d) 7

pishuonlain [190]

The value of x is 21√2/2

The correct option is (A)

<h3>What is Trigonometry?</h3>

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

In triangle having angle 60.

sin 60 = P/ 7√3

√3/2= P/7√3

2P= 21

P= 21/2

Now again

cos 45= 21/2/x

1/√2 = 10.5/x

x= 21√2/2

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

6 0

1 year ago