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3 years ago

5

A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, what inequality represents m, the distances in mi

les he can travel in the taxi?

2 answers:

dalvyx [7]3 years ago

6 0

Answer:

1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

PolarNik [594]3 years ago

3 0

Answer:

D. <em>m</em>≤28

Step-by-step explanation:

Just trust me my friendings

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#11 Write the decimal<br> 1.0056 in word form.

malfutka [58]

Answer: One and fifty six thousandths

Step-by-step explanation:

The 1 represents one so that first the decimal point represents and so that’s second 56 represents the thousands place so it would be fifty six thousandths since it is on the right side of the decimal.

8 0

3 years ago

Read 2 more answers

The volume of a cube is V= S^3 where V is the volume and s is the length of one side what is the volume of a cube if the length

sammy [17]

The volume of cube is 1000 cubic feet

<em><u>Solution:</u></em>

Given that,

<em><u>The volume of cube is given by formula:</u></em>

$V = s^3$

Where,

V is the volume of cube

"s" is the length of one side

<em><u>What is the volume of a cube if the length of a side s is 10 feet</u></em>

Given, s = 10 feet

<em><u>Substitute s = 10 in given formula,</u></em>

$V = 10^3\\\\V = 10 \times 10 \times 10\\\\V = 1000$

Thus volume of cube is 1000 cubic feet

7 0

3 years ago

A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti

jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

$\pi = \frac{0.438 + 0.642}{2} = 0.54$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}$

$0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}$

$\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}$

$n = 12.21$

Rounding up

We need a sample of size at least 13.

3 0

3 years ago

Which ordered pair is a solution to the inequality 3x - 4y < 16 ?

fgiga [73]

Answer:

C.

Step-by-step explanation:

You are given 3x-4y<16 and we want to see which of the ordered pairs is a solution.

These ordered pairs are assumed to be in the form (x,y).

A. (0,-4) ?

3x-4y<16 with (x=0,y=-4)

3(0)-4(-4)<16

0+16<16

16<16 is not true so (0,-4) is not a solution of the given inequality.

B. (4,-1)?

3x-4y<16 with (x=4,y=-1)

3(4)-4(-1)<16

12+4<16

16<16 is not true so (4,-1) is not a solution of the given inequality.

C. (-3,-3)?

3x-4y<16 with (x=-3,y=-3)

3(-3)-4(-3)<16

-9+12<16

3<16 is true so (-3,-3) is a solution to the given inequality.

D. (2,-3)?

3x-4y<16 with (x=2,y=-3)

3(2)-4(-3)<16

6+12<16

18<16 is false so (2,-3) is not a solution to the given inequality.

4 0

3 years ago

If one of the zeros of 3x^2+5x+γ=0 is 4 times the other, then find the zero and value of k

Natalija [7]

Answer:

Step-by-step explanation:

Let α be one of the zeros of the polynomial.

Other = 4α

α + 4α = - Coefficient of x / Coefficient of x² = -5/3

5α = -5/3

α = -5/3*5

α = -1/3

α * 4α = Constant term/Coefficient of x²

4α² = k / 3

$4*(\frac{-1}{3})^{2}=\frac{k}{3}\\\\4*\frac{1}{9}=\frac{k}{3}\\\\4*\frac{1}{9}*3=k\\\\4*\frac{1}{3}=k\\\\k=\frac{4}{3}$

8 0

3 years ago