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3 years ago

2/3a =b+4f solve for a

Mathematics

1 answer:

Dominik [7]3 years ago

7 0

Answer:Simplifying

4f = 30 + -1f

Solving

4f = 30 + -1f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add 'f' to each side of the equation.

4f + f = 30 + -1f + f

Combine like terms: 4f + f = 5f

5f = 30 + -1f + f

Combine like terms: -1f + f = 0

5f = 30 + 0

5f = 30

Divide each side by '5'.

f = 6

Step-by-step explanation:

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Am I correct? Which graph represents the line y= 1/5x

lara31 [8.8K]

Yes. Slope = rise over run so you go up one, over five

5 0

3 years ago

Read 2 more answers

A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are f

Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean BAC = 0.16 g/dL

s = sample standard deviation = 0.080 g/dL

n = sample of drivers = 60

$\mu$ = population mean BAC in fatal crashes

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 90% confidence interval for the population mean, $\mu$ is;

P(-1.672 < $t_5_9$ < 1.672) = 0.90 {As the critical value of t at 59 degrees of

freedom are -1.672 & 1.672 with P = 5%} P(-1.672 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.672) = 0.90

P( $-1.672 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $0.16-1.672 \times {\frac{0.08}{\sqrt{60} } }$ , $0.16+1.672 \times {\frac{0.08}{\sqrt{60} } }$ ]

= [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0

4 years ago

Which equations show you how to find 16-9?

Setler79 [48]

I think it might be B
because from 9+1 = 10 we can change to 9=10-1
and 10+6=16 no need to change
then we solve the problem with the equation
16 - 9
10+6 - (10-1)
10+6-10+1
7
thats the answer

5 0

3 years ago

What is the vertex of the parabola whose equation is y = (x + 1) ^2+ 3

lora16 [44]

Answer:

The vertex is (-1, 3)

Step-by-step explanation:

The form this is in is called vertex form. We can express the equation using its base form.

y = a(x - h)^2 + k

Now we can identify the vertex as (h, k). By looking at the equation, we can see h is equal to -1 and k is equal to 3.

6 0

3 years ago

Can u order 4/9 444/1000 .4 from least to greatest

quester [9]

.4 is the smallest since 4/10 is smaller than 4/9 and is only worth 400/1000.

4/9 is a repeater .444.... with the fours continuing forever. If we just go out 3 places from the decimal we get .444 which is 444/1000 and is the second number. Because the 4's continue to go on forever this makes it larger than 444/1000

So the correct order least to greatest is .4 < 444/1000< 4/9

7 0

3 years ago