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babunello [35]
3 years ago
11

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math test

than were sleep-deprived participants. Complete parts a through d?
A) The sample is the sleep-deprived participants in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the math questions in the study.
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

(c) the sample is amount of sleep the volunteers got in the study.

Step-by-step explanation:

sample: this is a small part that is intending to show what a big part is all about.

volunteer: a person who does something willingly.

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What is the quadratic. Formula?
balu736 [363]

Answer:

x =   \frac{ - b   ± \sqrt{ {b }^{2}  -  4ac } }{2a}

Step-by-step explanation:

For example, we'll use this quadratic equation.

{x}^{2}  + 5x + 6

To understand how to plug it into the formula we need to know what each term represents.

a {x}^{2}  + bx + c

So the equation above would be put into the formula like this.

x =  \frac{ - 5± \sqrt{ {5}^{2}  -  4(1)(6) } }{2(1)}

Then we would solve

\frac{ - 5± \sqrt{25 - 24} }{2}  \\ \\  =  \frac{ -5±1}{2}

Now, the equation will branch off into one that solves when addition and one when subtraction.

\frac{ - 5 + 1}{2}  =  \frac{ - 4}{2}  =  - 2 \\  \\   \frac{ - 5 - 1}{2}  =  \frac{ - 6}{2}  =  - 3

So x={-3, -2} (-3 and -2)

6 0
3 years ago
Skye made a deposit of $625 into an account that earns 4% simple interest for 6 years. How much did Skye earn in interest at the
tatuchka [14]

Answer:

She will earn 150$

Step-by-step explanation:

4% = 0.04

0.04 x $625 = 25

Now we divide 25 by the number of years, which is 6.

6 x 25 = 150$

Therefore, Skye earns 150$ from interest over the course of 6 years.

5 0
2 years ago
In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

5 0
3 years ago
3x + 5= -1 <br> Ayuda xddddd
bija089 [108]

Answer: x = -2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A 15 pound bag of ice costs $ 1.80. Give the unit rate.
Vaselesa [24]
We can use a rule of three simple, direct proportion to solve this problem.
15 pounds correspond to $1.80, then the question is to find the price of one pound, the called unit rate. We state the rule of three:
15 pound ---->  $1.80
 1 pound -----> x
x = (1)(1.80)/15
x = 0.12
Therefore, each pound costs $0.12 that is the unit rate in pounds
7 0
3 years ago
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