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2 years ago

15

How do I write this equation without fractions or decimals? 2-(3/4)x=2/5

1 answer:

RoseWind [281]2 years ago

6 0

Multiply each side by 20
40 - 15x = 8

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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Seven questions:

This means that $n = 7$

Each question has four choices.

Abby guesses, which means that $p = \frac{1}[4} = 0.25$

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173$

8 0

2 years ago

PLEASE HELP ME WITH GEOMETRY SO I DON"T HAVE TO TAKE THE FINAL!!!!

Molodets [167]

Sure. What do you need help with exactly?

6 0

2 years ago

a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer

gogolik [260]

z = -2.83

<u>Explanation:</u>

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

$z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}$

Substituting the value we get:

$z = \frac{51-68}{6} \\\\z = -2.83$

A negative z score says that the data point is below average.

4 0

3 years ago

A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co

agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

$x+y=218\ \ \ \ \ ...i\\\\4.25x+2.15y=752.20\ \ \ \ \ ...ii$

#Make x the subject in i then substitute in ii to solve;

$x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135$

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0

2 years ago

Solve the equation 18+a= -5

Oxana [17]

Answer:

The answer is -23

Step

7 0

2 years ago

Read 2 more answers