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2 years ago

6

Aidan and ethan were solving math problems together for homework adian did 410×10 to the fourth power would have 4 zeros in the

product because the exponent is 4 is adian correct?

1 answer:

agasfer [191]2 years ago

7 0

Answer:

No.

Step-by-step explanation:

410•10=4100 and 4100=41•100. We just need to focus on the 100. 100•100•100•100=100,000,000 which has 8 zeros, not 4 zeros.

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups

HACTEHA [7]

Answer: b. 8.56 to 21.44

Step-by-step explanation:

Let $\mu$ be the mean number of pushups that can be done.

As per given , we have

Sample size : n= 10

Degree of freedom = n-1=9

Sample mean : $\overline{x}=15$

Sample standard deviation : $s=9$

Significance level : α=1-0.95=0.05

From t- distribution table ,

Critical two -tailed t-value for α=0.05 and df = 9 is

$t_{\alpha/2, 9}=t_{0.025,9}=2.2622$

Confidence interval for $\mu$ is given by :-

$\overline{x}\pm t*\dfrac{s}{\sqrt{n}}$

$=15\pm (2.2622)\dfrac{9}{\sqrt{10}}\\\\\approx 15\pm 6.44=(15-6.44,\ 15+6.44)\\\\=(8.56,\ 21.44)$

Hence, the 95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.

5 0

2 years ago

Evaluate <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%5E%7B-2%7Dx%5E%7B-3%7Dy%5E%7B5%7D%20%7D" id="TexFormula1" title="\

Irina18 [472]

Answer:

$\bf C)\: -\cfrac{1}{32}$

Step-by-step explanation:

$\tt \cfrac{1}{2^{-2}x^{-3}y^5}$

$\tt x=2\\y=-4$

~

Substitute ''x'' with '2' & 'y' with "-4":-

$\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}$

First let's solve $\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5$

$\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }$

$\tt \cfrac{1}{32}\left(-4\right)^5$

Calculate exponents:- -4^5= -1024

$\tt \cfrac{1}{32}\left(-1024\right)$

Remove parentheses, apply rule:- $\tt a\left(-b\right)=-ab$

$\tt-\frac{1}{32}\times \:1024$

$\tt \cfrac{1}{32}\times \cfrac{1024}{1}$

Apply fraction rule:-

$\tt -\cfrac{1\times \:1024}{32\times \:1}$

$\tt \cfrac{1024}{32}$

Divide numbers:-

$\tt -32$

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

$\tt -\cfrac{1}{32}\;\; \bf Answer$

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3 0

2 years ago

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What is 5 divided by 2 5/7

Vera_Pavlovna [14]

Answer:

1.84

Step-by-step explanation:

So first we can do 5/7 which equals 0.714286

add 2 to that and get: 2.714286

So 5 / 2.714286 = 1.8421

6 0

2 years ago

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Help with this one!!!<br><br><br> Show steps pls :)

Sergeeva-Olga [200]

$96\dfrac{11}{20}= 96.55$

96.55%=0.9655

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Answer: 99

5 0

2 years ago

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Find four consecutive even integers whose sum is 84. Find the integers.

mina [271]

Suppose the integers are n , n+2 , n+4 and n+6.
84=n+(n+2)+(n+4)+(n+6)=4n+12.
Subtract 12 from both ends to get.
72=4n.
Divide both ends by 4 to get.
n=18.
So the integers are: 18 , 20 , 22 , 24.

4 0

3 years ago