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nexus9112 [7]
3 years ago
6

10. Write in slope-intercept form: -3x + 4y = 12

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

Step-by-step explanation:

Write in slope-intercept form:

-3x + 4y = 12 is

 Slope = 1.500/2.000 = 0.750

 x-intercept = 12/-3 = 4/-1 = -4.00000

 y-intercept = 12/4 = 3

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What is the mean of these numbers ? <br> 2,8,4,6,5
MrRa [10]

Answer:

5 is the mean

Step-by-step explanation:

4 0
3 years ago
At a collage bookstore Clara purchased a math textbook and a novel that cost a total of $54 not including tax if the price of th
diamong [38]

Answer:

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

Given,

Total cost of maths book and novel = $54

Let,

Cost of maths book = m

Cost of novel = n

According to given statement;

m+n=54      Eqn 1

the price of the math textbook, m, is $8 more than 3 times the price of the novel

m = 3n+8     Eqn 2

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

3 0
3 years ago
The perimeter of a television screen is 94 inches it is 17 inches tall how wide is it
Nadya [2.5K]
<h3>Answer:  30 inches</h3>

==========================================================

Explanation:

x = unknown width

For this rectangle, there are 2 sides of length x, and 2 sides of length 17.

The perimeter is P = 2x+2*17 = 2x+34

Set this equal to the given perimeter (94) and solve for x.

2x+34 = 94

2x = 94-34

2x = 60

x = 60/2

x = 30

The TV is 30 inches wide

5 0
2 years ago
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • M is the sample mean (8.12)
  • s is the standard deviation of the sample (0.8)
  • N is the sample size (13)

If we put these numbers in the formula:

t=\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } } =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0
2 years ago
Assume that 1200 births are randomly selected and exactly 595 of the births are girls. Use subjective judgment to determine whet
emmainna [20.7K]

Answer:

Lets assume that 1200 births are randomly selected and exactly 595 of the births are girls.

In percentage this is : \frac{595}{1200}\times100=49.58\%

This is approx 50%. We can say that almost random 50% are girls.

So, It is unlikely because the probability of this particular outcome is very​ small, considering all of the other possible outcomes.

Part B: It is not unusual because 595 is about the number of girls expected.

6 0
3 years ago
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