If f(x) = x–5 and 1/2f(a)=3,then a =...........

If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?

kiruha [24]

I hope this helps you

7 0

2 years ago

The number of students taking classes at RSM Branch A is 1

juin [17]

Answer:

B = 1320

$A= \dfrac54B$

Step-by-step explanation:

Let A = number of students at Branch A

Let B = number of students at Branch B

If the number of students taking classes at Branch A is 1/4 more than Branch B, then:

$A=1 \dfrac14B$

$\implies A= \dfrac54B$

If Branch A has 1,650 students, then substitute A = 1650 and solve for B:

$\implies 1650= \dfrac54B$

$\implies 1650 \times 4= 5B$

$\implies 6600 =5B$

$\implies B=\dfrac{6600}{5}$

$\implies B=1320$

6 0

2 years ago

Read 2 more answers

A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of

katen-ka-za [31]

Answer:

Larger sample size gives less std error and hence test statistic is larger.

Step-by-step explanation:

Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate

Group I II

Success 640 64

Total 1200 120

p 0.533333333 0.533333333

q 0.466666667 0.466666667

se 0.014401646 0.045542003

p diff 0.033333333 0.033333333

Z 2.314550249 0.731925055

p 0.01 0.233

we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis

3 0

2 years ago

After reading 80% of her e-mails in her inbox, Danette still has M unread emails. Which of the following expressions could repre

Fofino [41]

Answer:

m/(1 - .8)

Step-by-step explanation:

She read 80% of her emails, which is .8 of the total. So her unread emails would be 100% - 80% = 1 - .8

that means me can be written as:

m = (1 - .8)t

where t is the total

If we solve for t, we get:

t = m/(1 - .8)

4 0

2 years ago

Read 2 more answers

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0

3 years ago

Read 2 more answers

If f(x) = x–5 and 1/2f(a)=3,then a =...........​

If f(x) = x–5 and 1/2f(a)=3,then a =...........