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Dimas [21]
3 years ago
8

Solve each of the following exponential equations using common bases:

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

x=19/6, x=-9/13, x=33/4

Step-by-step explanation:

1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6

2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13

3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4

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a researcher found that a cigarette smoker smokes on average 31 cigarettes a day. she feels that this average is too high. she s
Ivenika [448]

At 0.01 significance level the hypothesis is rejected.

Null Hypothesis (H₀): The sample data occurs purely from chance.

Alternative Hypothesis (H₁): The sample data is influenced by some non-random cause.

If the p-value of the hypothesis test is less than some significance level (e.g. α = .01), then we can reject the null hypothesis and conclude that we have sufficient evidence to say that the alternative hypothesis is true.

Given that,

x = 28

s = 2.9

μ = 31

n = 8

α = 0.01

Then, the Null Hypothesis : H₀ = 31

          The Alternate Hypothesis : H₁ < 31

The average number of cigeratte smoker  per day is less than 31.

Test Statistics:

t = x -μ / s√n

   = 28 - 31/ 2.9√8

   = -3/ 8.41

   = -0.356

Since the p-value of 0.0046 is less than the significance level of 0.01, the auditor rejects the null hypothesis.

Learn more about Null hypothesis:

brainly.com/question/28920252

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4 0
1 year ago
What is the value of x in the product of powers below?
Papessa [141]

Answer:

= -7

Step-by-step explanation:

6 ⁹ ×6^x = 6²

From the laws of indices;

aⁿ × aⁿ = a^2n

Therefore;

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6^(9+x) = 6²,

Since the bases are the same then the exponents are equal;

9+x = 2

x = -7

5 0
4 years ago
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Serggg [28]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer the question given above
suter [353]

Answer:

See explanation

Step-by-step explanation:

This is how you are suppoussed to solve it:

Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter

This cannot be solved unless the page is infront of us.

5 0
3 years ago
Reasoning The midpoint of AB is on the
Dmitriy789 [7]

Answer:

B is in 4th quadrant.

Step-by-step explanation:

If mid point of AB is on x-axis then and A is in 3rd quadrant then B must be on the opposite side of A.Therefore it is in 4th

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