1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
2 years ago
10

Find the surface area of the prism below.

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

Answer:

the surface area of the prism = <em>378</em> cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}

\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}

\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}

You might be interested in
Q6. Yesterday Aaron ran 5 km. This morning Aaron ran 4 km. How far did Aaron run altogether?
laiz [17]

Answer:

9 km

Step-by-step explanation:

you add the distance Aaron ran

6 0
3 years ago
15 POINTS PLEASE HELP
myrzilka [38]
$800
That is the answer
3 0
4 years ago
Read 2 more answers
A culinary club earns $1190 from a dinner service. They sold 34 adult meals and 51 student meals. an adult meal costs twice as m
Murrr4er [49]
59 gdgdksgfjjjkkkkjjjjjjjjjjjjjjjj
5 0
3 years ago
Read 2 more answers
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa
arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

H_0:\mu_x=\mu_y=\mu_z

Alternative hypothesis: the means are not equal

H_a: \mu_x\neq\mu_y\neq\mu_z

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33

Then, we calculate the mean standard error (MSE):

MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91

The MSB is then:

s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172

Now we calculate the F statistic as:

F=MSB/MSE=172/23.78=7.23

The degrees of freedom of the numerator are:

dfn=a-1=3-1=2

The degrees of freedom of the denominator are:

dfd=N-a=3*4-3=12-3=9

The P-value of F=7.23, dfn=2 and dfd=9 is:

P-value=P(F>7.23)=0.01342

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0
3 years ago
Need help with number 2 ASAP! Try to show work! Thank you!!!
timofeeve [1]
C is the answer :) :)

4 0
3 years ago
Other questions:
  • The can of wood stain is twice as wide but half as tall as the can of paint. What is true about the areas of their labels?
    10·2 answers
  • A cruise ship is traveling at a rate of 20 miles per hour. Determine a direct variation formula to calculate the miles traveled
    6·1 answer
  • Please help:)))))))))
    12·2 answers
  • N = 4 x 58<br><br><br>589 = 7 X 84 +n<br> show steps please<br><br><br><br>​
    13·1 answer
  • If f(x)=2x+1 and g(x)=(x^2)-7, find (f/g)(x).
    5·2 answers
  • A circle is translated 4 units to the right and then reflected over the x axis. What statement will always be true of the circle
    14·1 answer
  • (X-5}2=25 create a list of steps in order that will solve the following equation
    7·2 answers
  • Need help due in 10 mins
    10·1 answer
  • Taylor can clean pools at a constant rate of 2/5 pools/hour. How many pools can Taylor clean in 25 hours
    8·1 answer
  • B. The owner increases the sale price by the same percent that you found in part a when he buys
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!