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3 years ago

251-92 is the same as _ - 100

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

259

Step-by-step explanation:

You could set up an equation that looks like:

$251-92=x-100$

Then solve for $x$

1. subtract 92 from 251

$159=x-100$

2. add 100 to both sides

$259=x$

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70 points!!!! Find the horizontal and the vertical components of f.

choli [55]

Answer:

F = (16.74, -2.95)

Explanation:

1) Horizontal component

The horizontal component is related to the magnitude of the force by the cosine ratio:

cos (α) = Fx / | F |

Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).

cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74

2) Vertical component

The vertical component is related to the magnitude of the force by the sine ratio:

sin (α) = Fy / | F |

Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).

sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95

3) Form (x,y)

F = (16.74, -2.95)

6 0

3 years ago

How to factor polynomials

Ierofanga [76]

Check for the GCF first. ...Multiply the quadratic term and the constant term. ...Write down all the factors of the result, in pairs. ...From this list, find the pair that adds to produce the coefficient of the linear term.

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3 years ago

Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for

Dmitry_Shevchenko [17]

38.1 seconds I believe simply divide 4m/s into 152.4 m and you will have 38.1 seconds

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3 years ago

Read 2 more answers

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

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:

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

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

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 $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

Multiplies to -1120 adds to 3

TEA [102]

With these, always write out the multiples first.

Start like this:
(assume one of the factors is negative)
1 and 1120
2 and 560
4 and 280
5 and 224
7 and 160
8 and 140
10 and 112
14 and 80
16 and 70
20 and 56
28 and 40
32 and 35

from those, the obvious choice is the one with a difference of three. In this case, 32 and 35, because -32 + 35 equals 3.

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3 years ago