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tester [92]
4 years ago
14

A boy weighs

Mathematics
1 answer:
damaskus [11]4 years ago
5 0
I believe the answer is that he weighs 20 kilograms.

Hope this helped :)
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Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
zzz [600]

Answer: 122 sq. in.

Step-by-step explanation:

P = 2 (l + w)

P = 2 (34.5 + 26.5)

P = 2 x 61

P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards

4 0
3 years ago
Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample
GuDViN [60]

Answer: (628.48,\ 661.52)

Step-by-step explanation:

Given : Sample size : n=16 , which is a small sample (, 30) so we use t-test.

Sample mean : \overline{x}=645 \text{ hours}

Standard deviation : \sigma = 31 \text{ hours}

Significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=2.131

The confidence interval for population mean is given by :-

\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm(2.131)\dfrac{31}{\sqrt{16}}\\\\\approx645\pm16.52\\\\=(645-16.52,\ 645+16.52)\\\\=(628.48,\ 661.52)

Hence, a 95% confidence interval for the population mean \mu = (628.48,\ 661.52)

6 0
3 years ago
I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i
Anna [14]

We know that the law of sines states that:

\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}

For simplicity, let:

\beta=m\angle A_1BC

In triangle A1BC this leads to:

\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}

Therefore:

m\angle A_1BC=38.174

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:

m\angle CA_2B=180-38.174=141.826

8 0
1 year ago
Which property can be used to show that 4r+3s+2r=6r+3s? Explain your answer.
riadik2000 [5.3K]

Distributed property because this property allows u two put 4r+2r because this equation is also (4xr)+(2xr) since they have the same variable u can put them together 4+2 is 6 and then just multiply by r so it’s 6r. And let’s not forget about 3s it doesn’t have the same variable so you can do 6r+3s which is what u got and is the correct answer 6r+3s is simplified but it’s the same as 4r+3s+2r

4 0
4 years ago
124 7/8 gallons of water drained from a pool in 25 minutes. How much water drained from the pool each minute?
xeze [42]
We know that
<span>124 7/8 gallons of water drained from a pool in 25 minutes
124 7/8 gallons------> (124*8+7)/8-----> 999/8 gallons----> 124.875 gallons

by proportion
124.875 gallons/25 minutes=x gallons/1 minute
x=124.875/25-----> x=4.995 gallons/minute
round to the nearest gallon------> 5 gallons/minute

the answer is
5 gallons/minute

</span>
5 0
3 years ago
Read 2 more answers
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