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3 years ago

Solve 5x − 4 = 7 for x using the change of base formula log base b of y equals log y over log b.

Mathematics

1 answer:

Sauron [17]3 years ago

5 0

Answer:

5.209 or A

Step-by-step explanation

5^x-4=7

reserve 4

log sides

x-4 log5 and log7

x-4=log7/log5

+4 or number of your equation

x=log5/log7 +4

use calculator

get answer

5.209

EDIT: Got a 100 on the test this is correct

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at a football game 95% of people attending were supporting the home team while 5% were supporting the visiting team. if the tota

Paraphin [41]

Answer:

3800

Step-by-step explanation:

The first step you want to do is make a proportion

x/4000=95/100

Next you are going to cross multiply which his 4000 times 95 equals 380000 and then multiply 100 times x which is 100x.

Then you are going to divide both sides by 100 and you will cross out the x from the 100 and get only x and then divide 380000 divided by 100 and 3800

Which leaves you with x=3800

3800 people were attending to support the home team

Hope this helps :)

5 0

3 years ago

Suppose your friends have the following ice cream flavor preferences: 70% of your friends like Chocolate (C). The remaining do n

Marianna [84]

Answer:

B. 0.18

Step-by-step explanation:

I find the question oddly worded. Apparently, 25% of 70% of your friends like Chocolate and also like Sprinkles. You need to find the product of these numbers to determine the proportion of friends who like Chocolate that also like Sprinkles. That product is ...

0.25·0.70 = 0.175 ≈ 0.18 . . . . matches choice B

5 0

3 years ago

At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin

Mariana [72]

Firstly, we need to know the price of the TV after the 110$ increase.
$165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
$181.50 x 0.065 = $11.79
6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29

4 0

3 years ago

The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper

4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let the random variable X be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, p = 0.52.

The random variable X follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p$

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.52}{0.52}\\=0.9231$

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

$P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058$

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0

3 years ago

there are 68 children in the school there are 19 children on the playground how many more children are in the school than on the

Inga [223]

68 minus 19 is 49
So the answer is there are 49 more children in the school then on the playground.

4 0

3 years ago

Read 2 more answers