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3 years ago

What is the value of 5 in 43.245

1 answer:

6 0

4➡ tens
3 ➡ ones
----------------
2➡tenths
4➡hundredths
5➡ thousandths

Anything behind the decimal point ends with a "ths" ("th" )

So, the value of "5" might be 'thousandths'

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Find the measure of KL

SVETLANKA909090 [29]

Answer:

4.2

Step-by-step explanation:

Because RM and ML are the same, that makes KL and KR congruent. Hope his helps. :)

8 0

3 years ago

Read 2 more answers

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

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

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

$0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 2.575*0.5$

$(\sqrt{n}) = \frac{2.575*0.5}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}$

$n = 1036.03$

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

$\pi = 0.55$

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

$0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}$

$0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}$

$(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}$

$(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}$

$n = 1025.7$

Rounding up

n = 1026.

6 0

3 years ago

Help plz!! The function h(t)=-16t^2+22t+4 models the height (h) of a football t seconds after it is thrown. The question ask to

Black_prince [1.1K]

If you're familiar with the quadratic equation
$\frac{ -b \pm \sqrt{b^2-4ac}}{2a}$

well, $\frac{ -b}{2a}$ is the x component of the vertex, in your case, the vertex is the highest point

figure out what t is at the highest point, and then substitute that back into the equation in order to determine height

x=t in this problem

8 0

2 years ago

What is the surface are of the cylinder pictured below

Elina [12.6K]

Surface area of the cylinder is 294π in².

Step-by-step explanation:

Step 1: Surface area of a cylinder = 2πrh + 2πr² Here, r = 7 in, h = 14 in

⇒ Surface Area = 2 × π × 7 × 14 + 2 × π × 7 × 7

= π (196 + 98) = 294π in²

4 0

3 years ago

What is the period of the graph y=1/2sin (pix)+3? A- 3 B- 1/2 C-pi D-2

dimaraw [331]

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi. So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.

3 0

3 years ago