Can someone find the measure?

How many whole cans can the company make out of each sheet of metal?

klio [65]

Answer:

18

Step-by-step explanation:

Total Surface Area of the Metal Sheet = $1000\:in^2$

Given a cylinder with diameter 3 Inch and height $4\frac{1}{4} in$

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder = $2\pi r^2+2\pi rh$

Radius =3÷2=1.5 Inch

Height of the can = $4\frac{1}{4} in$

<u>Total Surface Area of each can </u>

$2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2$

<u>Number of Cans that can be Made </u>

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

$=1000 \div 17.25\pi\\=18.45$

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0

3 years ago

Dora wants to paint the walls, ceiling and floor of her playhouse. The dimensions of the playhouse are 3 m long by 4 m wide by 5

kotegsom [21]

Answer:

Dora has to paint a total ol 60m

Step-by-step explanation:

4x5x3

4x5= 20

20x3=60

6 0

3 years ago

Hazal is paid $48 for 6hours work. how much is she paid for 4hours work?<br>

Marta_Voda [28]

Answer:

she get paid for 192 dollars for 4 hours

8 0

3 years ago

Find the slope of the line that passes through each pair of points.<br> 5. G(–3, 2), H(7, 2)

sladkih [1.3K]

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

5 0

3 years ago

26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics

hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

$\mu _d = \mu _{post} - \mu _{pre}$

Then the null hypotheses and alternative hypotheses will be

H₀: $\mu _d = 0$

Hₐ: $\mu _d > 0$

Then the test statistic will be

$\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5$

Then

$\rm S_d = 6.02$

The test statistic value is given by

$\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16$

Since this is a right-tailed test, so the critical value is given by

$\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353$

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that $\mu _d > 0$ that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0

2 years ago