3 years ago

How to solve a log equation with variable in the exponent?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Example...

4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)

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In a bag of blue and yellow marbles, the ratio of blue marbles to yellow marbles is 3:5. if the bag contains 60 yellow marbles,

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Double the numbers by themselves for 5 times and you get the ration of blue to yellow balls of 96:60

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2 years ago

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

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2 years ago

Find the sum 5/14 + 4/5

AnnyKZ [126]

Answer:

81/70

Step-by-step explanation:

5/14+4/5=25/70+56/70=81/70

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Which graph represents the solution set of the compound inequality -4≤3x-1 and 2x+4≤18?

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Answer:

can you put the pic of the graph plzz

Step-by-step explanation:

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2 years ago

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