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igomit [66]
2 years ago
12

The number of caps a new online store sells increases by a factor of 4 each month. The function f(x) = 4x represents the number

of caps sold in month x. When does the store sell 64 caps?
Mathematics
1 answer:
Flura [38]2 years ago
3 0
<h3>Given</h3>

... f(x) = 4^x

<h3>Find</h3>

... x for f(x) = 64

<h3>Solution</h3>

Rewrite 64 as a power of 4, then equate exponents.

... 64 = 4^x

... 4^3 = 4^x

... 3 = x

The store sells 64 caps in month 3.

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Telephone come
lbvjy [14]

Answer:                                             zgfbnzbzdbzdfbgzbnbgfgfgfbv bzgfbvb

Step-by-step explanation:

8 0
2 years ago
A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the s
marin [14]

Answer:

H0 ; μ ≤ 4 pCi/L

Ha ; μ > 4 pCi/L

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

7 0
2 years ago
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
solong [7]

Our data are:

0.19

0.78

0.96

1.31

2.78

3.16

4.15

4.67

4.85

6.50

7.35

8.01

8.27

12.06

31.75

32.52

33.91

36.71

72.89

From this data we have n=19

Mean is (\bar{x}) equal to:

\bar{x} = \frac{\sum x_i}{n}

We summarize all the values and divide them by the total number of samples.

\bar{x}=\frac{272.82}{19}

\bar{x} = 14.3589

In another hand we have that Standard Variation is equal to

s=\sqrt{\frac{\sum(x_i-\bar{x})^2}{n-1}}

For this case we take the value of each of our samples, we subtract the average and we square it to that value. We do this with each of the data and in the end we divide them by the total population of the sample (n) minus 1.

s= \frac{(0.19-14.3589)^2.... (72.89-14.35)^2}{19-1}

s=18.880

8 0
2 years ago
Which are the roots of the quadratic function f(b) = b2 – 75? Select two options. b = 5 StartRoot 3 EndRoot b = Negative 5 Start
yawa3891 [41]

Answer:

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

Step-by-step explanation:

we have

f(b)=b^{2}-75

Remember that the root of a function is the value of x when the value of the function is equal to zero

In this problem

The roots are the values of b when the function f(b) is equal to zero

so

For f(b)=0

b^{2}-75=0

b^{2}=75

square root both sides

b=(+/-)\sqrt{75}

Simplify

b=(+/-)5\sqrt{3}

b=5\sqrt{3}  and b=-5\sqrt{3}

therefore

b = 5 StartRoot 3 EndRoot

b = Negative 5 StartRoot 3 EndRoot

8 0
2 years ago
Read 2 more answers
Add −1 3/10 + 2/5 using the number line.
Ray Of Light [21]

Start at - 1 3/10 then subtract 2/5 and you would get your answer your answer should be a negative

6 0
2 years ago
Read 2 more answers
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