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2 years ago

A school survey reported that

Mathematics

1 answer:

kozerog [31]2 years ago

6 0

The probability that the student has a part-time job, given that they have a cell phone is 5/8

<h3>What is probability</h3>

Probability is the likelihood or chance that an event will occur.

Given the following parameter:

Total student = 80%
Part-time jobs = 45%
Those with both a cell phone and a part-time job = 30%

Student will cellphone only = 80 - 30 = 50%

The probability that the student has a part-time job, given that they have a cell phone is 50/80 = 5/8

Learn more on probability here: brainly.com/question/25870256

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What is the answer to X^2-2X+5=0 rounded to nearest hundreth

eimsori [14]

First you input the equation into the quadratic formula:
__________
x=−(−2)±√(−2)2−4(1)(5)
 -----------------------------
2(1)
Next you simplify the formula:
___
x=2±√−16
 ------------
2

This problem has no real solutions.

8 0

3 years ago

Use the 95% rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an

Nonamiya [84]

Answer:

Intervals = (1,064) , (1,036)

Step-by-step explanation:

Given:

Use 95% method

Mean = 1,050

Standard deviation = 7

Find:

Intervals.

Computation:

95% method.

⇒ Intervals = Mean ± 2(Standard deviation)

⇒ Intervals = 1,050 ± 2(7)

⇒Intervals = 1,050 ± 14

⇒ Intervals = (1,050 + 14) , (1,050 - 14)

⇒ Intervals = (1,064) , (1,036)

4 0

3 years ago

The body temperatures of adults have a mean of 98.6°F and a standard deviation of 0.60° F. Describe the center and variability o

amid [387]

Answer:

center = 98.6, variability = 0.08

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

The center is the mean.

So $\mu = 98.6$

The standard deviation of the sample of 50 adults is the variability, so

$s = \frac{0.6}{\sqrt{50}} = 0.08$

So the correct answer is:

center = 98.6, variability = 0.08

7 0

3 years ago

Solve using algebraic equation: 5sin2x=3cosx (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

$10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0$

Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .