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Anastaziya [24]
4 years ago
13

The net of a solid figure is shown below: Four squares are shown side by side in a row. The second square has a square above it

and a square below it. All the squares have side length equal to 3 inches Which calculation will give the total surface area of the solid figure?
Mathematics
1 answer:
Elis [28]4 years ago
8 0
There are 6 squares so u multiply 6x3=18 is the total surface area

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50 students were surveyed and 18 would like to learn spanish.
4 0
3 years ago
In a study, 42% of adults questions reported that their health was excellent. A researcher wishes to study the health of people
Vikki [24]

Answer: 0.0594

Step-by-step explanation:

Given : The population proportion of adults questions reported that their health was excellent : p = 0.42

Among the 14 adults randomly selected from this area, only 3 reported that their health was excellent.

i.e. Sample size : n= 14

\mu=np = 14\times0.42=5.88

s=\sqrt{np(1-p)}=\sqrt{14(0.42)(1-0.42)}\approx1.85

z-score : z=\dfrac{{x}-\mu}{\sigma}

Put x= 3

z=\dfrac{3-5.88}{1.85}\approx-1.56

Then, the probability that only 3 or fewer report having excellent health:-

P(z\leq-1.56)=0.0593799\approx0.0594

Hence, the required probability : 0.0594

8 0
3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
irakobra [83]

Answer:

We need a sample size of at least 383.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

85% confidence level

So \alpha = 0.15, z is the value of Z that has a pvalue of 1 - \frac{0.15}{2} = 0.925, so Z = 1.44.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03

We need a sample size of at least n.

n is found with M = 0.03, \pi = 0.21

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.44\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.44\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.44\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^{2} = (\frac{1.44\sqrt{0.21*0.79}}{0.03})^{2}

n = 382.23

Rounding up

We need a sample size of at least 383.

6 0
3 years ago
Please help me find the greatest common factor for these 2 problems..
Kisachek [45]

A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.

11. The prime factorization of 12 is 3 * 2 * 2. The prime factorization of 18 is 3 * 3 * 2. Looking at the prime factorizations, we can see that both of them have 3 and 2. That means that the GCF is 3 * 2 which is 6.

12. The prime factorization of 48 is 2 * 2 * 2 * 2 * 3. The prime factorization of 80 is 2 * 2 * 2 * 2 * 5. We see that the numbers shared are 2, 2, 2, and 2. That means that the GCF is 2 * 2 * 2 * 2 or 16.

4 0
3 years ago
Read 2 more answers
Which set of values makes the inequality n≥-5 true
vladimir1956 [14]

Answer:

n has to be greater than or equal to -5.

The numbers -5,-4,-3,-2,-1,0,1....... work for that inequality

Step-by-step explanation:

5 0
4 years ago
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