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3 years ago

Write log[8]y=x as an exponential function. Please show work!

1 answer:

ioda3 years ago

8 0

The formula is b^x=a is the same as log{b}a=x. So in your problem b=8, a=y, and x=x. Then plug it into the exponent part of the formula and you get 8^x=y.

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Samuel and Jason spend 3/4 of their combined earnings from Wednesday to buy a gift. how much do they spend? Is there enough left

MrRissso [65]

$3.25 is the other 1/4. So $3.25 x 4 is $13 (their total). They spent $9.75

6 0

3 years ago

According to the U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics 1,026,0

Andreyy89

Answer:

The correct option is C) 21.1 and 0.68

Step-by-step explanation:

Consider the provided information.

The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.

Therefore μ = 21.1 and σ = 4.8

It is given that the sample of 50 students;

Thus, sample size ( n ) = 50

According to the central limit theorem,

$\mu_{\bar x}=\mu\ and \ \sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

Therefore

$\mu_{\bar x}=21.1$

$\sigma_{\bar x}=\frac{4.8}{\sqrt{50}}$

$\sigma_{\bar x}=0.68$

Hence, the correct option is C) 21.1 and 0.68

7 0

3 years ago

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f

Vitek1552 [10]

Answer:

$P(X\cap Y\cap Z)=0.05$

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert $P(X)=0.28$

Percentage of audience in second concert $P(Y)=0.42$

Percentage of audience in third concert $P(Z)=0.30$

Audience Percentage at at-least one concert $P(X \cup Y \cup Z)=0.80$

Percentage of audience at first & second concert $P(X \cap Y)=0.10$

Percentage of audience in first & third concert $P(X \cap Z)=0.08$

Percentage of audience in second & third concert $P(Y\cap Z)=0.07$

Generally the equation for probability of attending all concerts $P(X\cap Y\cap Z)$ is mathematically given by

$P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)$

$P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)$

$P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70$

$P(X\cap Y\cap Z)=0.05$

Therefore the probability that a randomly selected audient attended all the concerts

$P(X\cap Y\cap Z)=0.05$

8 0

3 years ago

What is the percent of change from 6,000 to 60?

Thepotemich [5.8K]

Answer: 99% decrease

Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.

The amount of change is the difference between 6,000 and 60 and the original number is 6,000.

6,000 - 60 is 5,940 so we are left with $\frac{5,940}{6,000}$ and dividing 6,000 into 5,940 gives us 0.99.

Finally, since the problem is asking us for the percent, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.

So when a number changes from 6,000 to 60, it has decreased by 99%.

6 0

3 years ago

When you divide a number by 1/2, the result is

Nikitich [7]

Let us analyze the following situation: The number we want to divide by 1/2 is X. We can write:
X/(1/2)=(X/1)/(1/2)=(X*2)/(1*1)= X*2,
which means that the number that is divided with 1/2 is multiplied by 2 (twice the original number).
When you divide a number by 1/2, the result is twice the original number . Answer:B

6 0

3 years ago

Read 2 more answers