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Papessa [141]
3 years ago
8

Can someone please help me answer my question

Mathematics
2 answers:
algol [13]3 years ago
4 0
The surface area would be 150cm and the volume would be 125cm. To get volume you do 5 cubed to get the answer 125. To get surface area you would do 5 multiplied by 5 multiplied by the cubes 6 sides to get 150.
ch4aika [34]3 years ago
4 0
Surface area: (5*5)*6=150
Volume: 5*5*5*=125
ratio: 150/125=1.2
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A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing f
Arisa [49]
7.50$ for each ticket without the processing fee
4 0
2 years ago
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet
brilliants [131]

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

M_d=M_1-M_2=42-45=-3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04

The degrees of freedom for this test are:

df=n_1+n_2-1=49+36-2=83

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.

6 0
3 years ago
Read 2 more answers
Please help me with precal
Doss [256]

Consider the function f(x)=\sqrt{x}. This function has:

  • the domain x\in [0,\infty);
  • the range y\in [0,\infty).

If the domain of unknown function is [a,\infty), then x\ge a or x-a\ge 0. This means that you have \sqrt{x-a} as a part of needed function.

If the range of unknown function is [b,\infty), then y\ge b. This means that you have to translate function b units up and then the expression of the function is

y=\sqrt{x-a}+b.

Answer: correct choice is B.

6 0
3 years ago
3. Find f[h(a+4)], given the functions below. *
mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8

h(a+4)

This function is:

h(a+4) = (a+4)^2 + 6(a + 4) + 8

h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8

h(a+4) = a^2 + 14a + 48

f[h(a+4)]

f(x) = 5x

Thus

f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240

The correct answer is given by option C.

8 0
3 years ago
The prism shown has a volume of 35 cm^3
artcher [175]

Answer:

Height = 2.5

Step-by-step explanation:

Given

Volume = 35

Length =7

Base=4 cm

Required

Determine the height

The volume is calculated as:

Volume = Height * Base\ Area

Since, it has a triangular cross-section, the expression becomes:

Volume = Height * \frac{1}{2} * Base * Length

So, we have:

35 = Height * \frac{1}{2} * 4 * 7

35 = Height * 14

Height = 35/14

Height = 2.5

7 0
3 years ago
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