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zhannawk [14.2K]
3 years ago
10

PLEASE HELP 30 POINTS AND BRANLIEST! Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some

rope and how the strength relates to the number of woven strands in the rope. The data are represented by the exponential function f(x) - 2^x where x is the number of woven strands. Convert this equation to a logarithmic function and solve for x given the strength is 116 Pascals.
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

7

Step-by-step explanation:

y = 2^x

Apply log2 both sides

log2(y) = log2(2^x)

log2(y) = xlog2(2)

x = log2(y)

x = log2(116)

x = lg(116)/lg(2)

x = 6.857970995

No. of strands has to be a natural no. So, x = 7

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Answer:

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Step-by-step explanation:

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Let \mu = <u><em>mean weight of coffee in its containers.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 32 ounces     {means that the mean weight of coffee in its containers is at least 32 ounces}

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Since our test statistic is more than the critical value of t as -1.614 > -2.624, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

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