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Anettt [7]
3 years ago
8

Find S15 for the geometric series 72 + 12 + 2 + 1/3 +…

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
S1 = 72
S2 = 12 = 72*(1/6)
S3 = 2 = 72*(1/6)^2
.
.
.
S15 = 72*(1/6)^14 = 9.18*10^(-10)
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PLEASE ANSWER i WILL PUT MOST BRAINLIEST!
galina1969 [7]

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

276.1

Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}

Plugging in the values, we have,

Test statistic = 1.599292

t_{\alpha /2} at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

4 0
3 years ago
18 + 4.5m = 6m + 12 help plz
kherson [118]
M=4
first we take the 4.5 to the other side and we also take the 12 to other side so we get
1.5m=6
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6 0
3 years ago
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Is 1500 ml greater than less than or equal to 1.5 l?
Aleks [24]

Is 1500 ml greater than less than or equal to 1.5 l is equal.

4 0
3 years ago
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Eva8 [605]

Answer:

the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .

Step-by-step explanation:

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3 years ago
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A truangular bandana has an area of 42 square inches. The height of the triangle is 5 1/4 inches. Enter and solve an equation ti
nasty-shy [4]

Answer: The length of the base of the triangle is 16 inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula

Area of a triangle (A) = base x height x 1/2

Replacing with the values given:

42 = b (5 1/4) 1/2

Solving for b (lenght of the base)

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Feel free to ask for more if needed or if you did not understand something.

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