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Leto [7]
2 years ago
5

70 points and brainliest if the answer is correct

Mathematics
2 answers:
zimovet [89]2 years ago
3 0

Answer:

Option D

Step-by-step explanation:

<em>If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)</em>

\bullet \rightarrow 5^4\times5^7

\bullet\rightarrow 5^{4 + 7}

\bullet \rightarrow \boxed{5^{11}}

RUDIKE [14]2 years ago
3 0

Answer: D

Step-by-step explanation:

5^4 x 5^7

You will add the exponent 4 + 7 = 11

You will keep your base 5^11

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An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on
Ronch [10]

Answer:  C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let \mu be the population mean .

As per given , we have

H_0:\mu=50\\\\ H_a: \mu

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

Also, it is given that ,

n= 48

\overline{x}=46

s= 10

t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value =t_{\alpha,df}=t_{0.025,47}=2.0117

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

4 0
3 years ago
One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each
Yuliya22 [10]

A;

30 + 8g = c

B;

60 + 3g = c

60 + 3g = 30 + 8 g

30 = 5g

g = 6

6 gigs would have to be used in both for the cost to be the same

6 0
2 years ago
1.<br> Solve -x + 9x = -4<br> Solution x= and x =
nordsb [41]

Answer:

<h2>x = - 1/2</h2><h2 />

Step-by-step explanation:

-x + 9x = -4

8x = -4

x = -4/8

x = -1/2

4 0
3 years ago
What is the sum of 5 to the fourth power and 3 to the second power​
EleoNora [17]

Answer:

634

Step-by-step explanation:

5^{4\\}=625

3²=9

625+9=634

4 0
3 years ago
Read 2 more answers
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
Lyrx [107]

Answer:

133.45

Step-by-step explanation:

They are looking for arc length. The formula is

\frac{n}{360} * 2πr

a quarter circle is 90°, so put 90 for n. 85 is the radius, so put that for r.

\frac{90}{360} * 2 π (85)

133.45

8 0
2 years ago
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