Does anyone know the answer to this question or know how to solve this type of problem?

Please answer asap it's summer homework Find the surface area of the prism.

Basile [38]

1. Area of triangle
1/2(10)(12)=60
There are two triangles, so multiply by 2
=120

2. Find area of the rectangles
This is an isosceles triangle, so the two rectangles are congruent
(2)(13)(3)=78

3. Find area of bottom rectangle
10(3)= 30

4. Add everything up
120+ 78 + 30= 228

Therefore the surface area of this prism is 228

I hope i helped :)

3 0

4 years ago

What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?

8_murik_8 [283]

Answer: (3, 13)

Step-by-step explanation:

If we let the point be P, then AP:BP=2:1.

$P=\left(\frac{(2)(3)+(1)(3)}{2+1}, \frac{(2)(19)+(1)(1)}{2+1} \right)=(3, 13)$

5 0

2 years ago

The Rawesome Cafeteria manufactures round metal tabletops for restaurants. The machinist uses ¼ sheet of metal for each tabletop

Serjik [45]

Prime cost is the combination of a manufactured product's costs of direct materials and direct labor. In other words, prime cost refers to the direct production costs.
Prime cost=direct material cost+direct labor cost

Direct material cost of a tabletop is
380×(1÷4)=95 for each tabletop

Direct labor cost
The question says The machinist cuts and polishes five tabletops each hour
Which means 27.50 of direct labor to cut and polish 5 tabletops So direct labor cost for each tabletop is
27.50÷5=5.5

Finally the prime cost of cutting and polishing a tabletop is
Prime cost=95+5.5=100.5

5 0

3 years ago

2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 28

JulijaS [17]

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let $p_1$ = proportion of deaths when drivers were not wearing seat belts.

$p_2$ = proportion of deaths when drivers were wearing seat belts.

So, Null Hypothesis, $H_0$ : $p_1=p_2$ {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, $H_A$ : $p_1\neq p_2$ {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here Two-sample z test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of deaths when drivers were not wearing seat belts = $\frac{31}{2823}$ = 0.011

$\hat p_2$ = sample proportion of deaths when drivers were wearing seat belts = $\frac{16}{7765}$ = 0.002

$n_1$ = sample of drivers not wearing seat belts = 2823

$n_2$ = sample of drivers wearing seat belts = 7765

So, the test statistics = $\frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }$

= 4.438

The value of z test statistics is 4.438.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, Margin of error (E) = $1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }$

= $1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }$

= 0.00397

5 0

3 years ago

A rectangular lawn is 24 feet wide by 32 feet long. A sidewalk will be built along the inside edges of all four sides. The remai

levacccp [35]

So the original lawn has an area
24 × 32 = 768 the new lawn will have area 425
this means the area of the sidewalk will be 768-425=343
now the sidewalk is a certain width of we draw it out and label it x we see the lawn has an area of
$(32 - 2x)(24 - 2x) = 425 \\ 768 - 64x - 48x + 4 {x}^{2} = 425 \\ 4 {x}^{2} - 112x + 343 = 0$
use the quadratic formula to solve. then you will know how wide the sidewalk is. I will attach picture

5 0

3 years ago

Does anyone know the answer to this question or know how to solve this type of problem? ​

Does anyone know the answer to this question or know how to solve this type of problem?