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likoan [24]
2 years ago
5

A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot.

The glass costs $23 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

Mathematics
2 answers:
Marysya12 [62]2 years ago
7 0

Answer:

748.88

Step-by-step explanation:

Ilia_Sergeevich [38]2 years ago
5 0
Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).

Solve for area 1:
Area rec = L * W = 5units * 4 units = 20 squared units

Solve for area 2:
Area cir = pi *r² = 3.14 * (2 units)² = 12.56 squared units

Total area = 20 + 12.56 = 32.56 foot²
Total cost = 32.56 foot² * ($23/foot²) = $ 748.88

Total cost is $748.88.
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Jenny filled 12 pitchers with an equal amount of lemonade and each the total amount of lemonade in the 12 pitchers was 41.4 L ho
Masteriza [31]
41.4L = 41400ml 41400/12= 3450ml
7 0
3 years ago
A local hamburger shop sold a combined total of 389 hamburgers and cheeseburgers on Thursday. There were 61 fever cheeseburgers
allsm [11]

Answer:

  225

Step-by-step explanation:

Let h represent the number of hamburgers sold. Then h-61 is the number of cheeseburgers sold. The combined total is ...

  h +(h -61) = 389

  2h = 450 . . . . . . add 61

  h = 225 . . . . . . . divide by 2

There were 225 hamburgers sold on Thursday.

6 0
3 years ago
A line passes through the points (-6,4) abd (-2,2) which is the equation of the line
krek1111 [17]
Bibby
m=y2−y1x2−x1=15−75−1=84=2y−y1=m(x−x1)⟺(x1,y1)=(1,7)y−7=2(x−1)y−7=2x−2y=2x−2+7 y=2x+5
4 0
3 years ago
Find the
Mazyrski [523]

Answer:

54 cm

Step-by-step explanation:

The area (A) of an equilateral triangle is

A = \frac{s^2\sqrt{3} }{4}  ( s is the side length ) then

\frac{s^2\sqrt{3} }{4} = 81\sqrt{3} ( multiply both sides by 4 to clear the fraction )

s²\sqrt{3} = 324\sqrt{3} ( divide both sides by \sqrt{3} )

s² = 324 ( take the square root of both sides )

s = \sqrt{324} = 18

Thus

perimeter = 3 × 18 = 54 cm

3 0
3 years ago
A.) find the test statistic
Arada [10]

Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic of the t-distribution is given by the equation presented as follows:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

In which the variables of the equation are given as follows:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the hypotheses.
  • s is the standard deviation of the sample.
  • n is the sample size.

The value tested at the hypothesis is:

\mu = 60

From the sample, using a calculator, the other parameters are given as follows:

\overline{x} = 62.47, s = 19.2, n = 15

Hence the test statistic is obtained as follows:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}

t = 0.49.

<h3>What are the p-value and the conclusion?</h3>

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

  • 15 - 1 = 14 df, as the number of degrees of freedom is one less than the sample size.
  • t = 0.49, as obtained above.

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

5 0
1 year ago
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