(5, 2), (5, -2) Find the slope

Find the surface area.

denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

57.5 + 25 + 115 = 197.5 in²

5 0

2 years ago

From deltamath.com Help me please i really don't get it.

Brums [2.3K]

Answer:

cos = adjacent/hypotenuse

3/square root13

now you do square root 13 x3 divided by square root 13^2

= 3square root13/13

hope that answers your question

3 0

3 years ago

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.

grigory [225]

Answer:

quadratic

Step-by-step explanation:

i just took it on edge

7 0

3 years ago

Read 2 more answers

Order these numbers from least to greatest. 14 , −0.6 , −3450 , 3.85

Elanso [62]

From the least to the greatest.

The one with the biggest size and has a negative sign is the least

<span>-3450, -0.6, 3,85, 14</span>

5 0

3 years ago

A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee

Kipish [7]

Answer:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

$p_v =2*P(t_{40}>0.505)=0.61633$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=162$ represent the mean for sample of clinic attendees

$\bar X_{2}=156$ represent the mean for the sister city

$s_{1}=41$ represent the sample standard deviation for 1

$s_{2}=36$ represent the sample standard deviation for 2

$n_{1}=22$ sample size for the group 2

$n_{2}=20$ sample size for the group 2

$\alpha=0.05$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=22+20-2=40$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{40}>0.505)=0.61633$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.

3 0

3 years ago