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BigorU [14]
3 years ago
10

Write a formula for f(a) in terms of a -3a + 6b = a + 4b

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

\huge\boxed{\sf f(a) = 2a}

Step-by-step explanation:

-3a + 6b = a + 4b

Isolate b

6b - 4b = a + 3a

2b = 4a

b = 4a / 2

b = 2a

Replace b by f(a)

f(a) = 2a

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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In Erin's career on the basketball team, she made 7 out of every 10 free throws Last season, she
Crazy boy [7]

Answer: 42

For this situation we will use a ratio to show how many free throws Erin will make. Using the ratio 7:10 represents that Erin will make 7 out of every 10 free throws. You want to know how many free throws  she will make if she attempts 60 free throws.

Using ratios we will be able to find how many free throws she will make if she attempts 60.

7:10

14:20

21:30

28:40

35:50

42:60

Basically we kept multiply the right side of the ratio which is 10 by 2 until we were at 60 free throws.

Erin will make 42 free throws if she attempts 60 free throws.

6 0
3 years ago
Describe the relationship between two variables when the correlation coefficient r is one of the following. (a) near –1 strong
zepelin [54]

Answer:

a) strong negative linear correlation.

b) Weak or no linear correlation.

c) strong positive linear correlation.

Step-by-step explanation:

The correlation coefficient r measures the strength and direction (positive or negative) of two variables. The correlation coefficient r is always between -1 and 1. When the coefficient r is negative then the direction of the correlation is downhill (negative) and when it's positive then it's an uphill correlation (positive). Similarly, as the coefficient is closer to -1 or 1 the correlation is stronger, with zero being a non linear relationship.

Now back to the question:

a) Near -1: as we said before, this means an strong negative (-1) linear correlation.

b) Near 0: weak or no linear correlation (we cannot say if its positive or negative because we don't know it it's near zero from the right (positive numbers) or the left (negative numbers)

c) Near 1: strong positive (close to +1) linear correlation

3 0
3 years ago
The width of a rectangular flower shop is 20 feet less than twice the length. The perimeter is more than 70 feet. Which inequali
Schach [20]

Answer:

what is it

Step-by-step explanation:

7 0
3 years ago
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
3 years ago
Maya spend 40% of her savings to pay for a bicycle that cost her $85. How much money was in Maya's savings to begin with?
notka56 [123]

Step-by-step explanation:

letπ be the percentage of her savings

=40+85

=125

=125+π=100

=π=100-125

=π=75

6 0
3 years ago
Read 2 more answers
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