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3 years ago

How can we write 4y = 5x - 12 in y = mx + b?

Mathematics

2 answers:

IRINA_888 [86]3 years ago

7 0

Answer:

5/4x-3

Step-by-step explanation:

5/4x-3 is the answer you're looking for. Hope this helps :)

Y_Kistochka [10]3 years ago

4 0

Answer:

$y=\frac{5}{4}x-3$

Step-by-step explanation:

Hope this helps!

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Prove that an equilateral triangle can be constructed on any given line segment

xz_007 [3.2K]

Step-by-step explanation:

Answer is in the photo with diagram

8 0

3 years ago

There are 318 fiction books in the class library. Tha number of non fiction book is 47 less than double the number of fictions b

vivado [14]

Salutations!

<span>There are 318 fiction books in the class library. The number of non fiction book is 47 less than double the number of fictions book. About how many non fiction books are there in the class library?

Let the number of non fiction books me 'NF'.

Let 'F' be fiction

Double means '2', therefore:

2F - 47 = non fiction (NF)

2(318) - 47 = non fiction

As you can see brackets indicate multiplication, therefore you will be multiplying 318 and 2

636 - 47 = non fiction (NF)

Subtract 47 from 636

589 = nonfiction (NF)

There are 589 non fiction books in the library.

Hope I helped (:

Have a great day!</span>

4 0

3 years ago

Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted

Basile [38]

Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}= 34.55$

Standard deviation : $\sigma= 20.12$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}$

$=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)$

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0

3 years ago

PLZ HELP! Use technology or a z-score table to answer the question.

Rashid [163]

Answer:

the answer would be A, or 5.3%

Step-by-step explanation:

you start by finding the z-score of 200, so 200-144.05 = 55.95/34.52 = 1.62 (rounded to the nearest ) Then you use a z-score table to find the probability that a customer will spend less than 200 dollars and subtract the decimal probability from one. then you convert the decimal probability to a percent and get 5.3%.

7 0

2 years ago

Internet providers: In a survey of 935 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet pl

BlackZzzverrR [31]

Answer:

68% of plans cost between $62.16 and $86.52.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean: 74.34

Standard deviation: 12.18

Bell-shaped is the same as normally distributed.

Estimate the number of plans that cost between $62.16 and $86.52.

62.16 is one standard deviation below the mean.

86.52 is one standard deviation above the mean.

By the Empirical rule, 68% of the measures are within 1 standard deviation of the mean.

68% of plans cost between $62.16 and $86.52.

7 0

3 years ago