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3 years ago

1. what value of x will make the equation below true 1/2(6x-10)+10=5x-13

Mathematics

2 answers:

kompoz [17]3 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

i got it correct in a quiz i had last year in math

soldi70 [24.7K]3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

1/2(6x - 10) + 10 = 5x - 13

3x - 5 + 10 = 5x - 13

3x + 5 = 5x - 13

3x + 18 = 5x

18 = 2x

x = 9

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5 Eric is building a fence around the perimeter of a garden in his backyard. The yard is shaped like a rectangle with a width of

Elena L [17]

L=25
If the length is 25 yards then you use 50 yards of fencing for the length, this leaves ten yards for each width of fencing each.
10 yards is 15 yards less than 25 yards showing that this is the correct answer.

5 0

2 years ago

In the expression 5y+4x2 what is the coefficient

MariettaO [177]

Answer:heyya

Step-by-step explanation:

<h3>coefficient means the number before the variables...the coefficient of y is 5..i dont know whether that is X or multiplication sign..if it is the variable X raise to the power 2 then the coefficient of X raise to the power 2 is 4..</h3><h3>hope it helps</h3>

8 0

3 years ago

1. Mark Ford deposits $11,800 into Role Bank, which pays 8% interest that

borishaifa [10]

Answer:

The amount after 4 years = $ 16198.87

Step-by-step explanation:

Points to remember

Compound interest

A = P[1 + R/n]^nt

Were A - Amount

P - Principle

R - Rate of interest

t - Number of years

n - Number of times compounded

<u>To find the amount</u>

Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times

A = P[1 + R/n]^nt

= 11800[1 + 0.08/4]^(4 * 4)

= 16198.87

Therefore amount after 4 years = $ 16198.87

5 0

3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

3 years ago

A given population proportion is .25. What is the probability of getting each of the following sample proportions

anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754 ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 ) = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0

2 years ago