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tresset_1 [31]
3 years ago
9

If you roll a six-sided die, what is P (not a 5)?​

Mathematics
1 answer:
Setler79 [48]3 years ago
7 0

Answer:

5/6

Explanation:

5 of the sides of the die are not the number 5,

<em>Hence, </em><em>the answer is...</em>

<em>5/6</em>

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Three circular arcs of radius units bound the region shown. Arcs and are quarter-circles, and arc is a semicircle. What is the a
mestny [16]

Answer:

Three circular arcs of radius $5$ units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle.

Step-by-step explanation:

8 0
2 years ago
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
I need help solving #9 &amp; #11! It's geometry but I'm just really stuck<br><br>​
Vikentia [17]

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

7 0
3 years ago
Megan has $50 and saves $5.50 each week. Conner has $18.50 and saves $7.75 each week. After how many weeks will Megan and conner
QveST [7]

After 14 weeks, both Megan and Conner will have saved the same amount.

Step-by-step explanation:

Amount Megan have = $50

Amount saved each week = $5.50

Amount Conner have = $18.50

Amount saved each week = $7.75

Let,

x be the number of weeks.

According to given statement;

M(x) = 50+5.50x    Eqn 1

C(x) = 18.50+7.75x   Eqn 2

For amount to be same;

Eqn 1 = Eqn 2

50+5.50x=18.50+7.75x\\50-18.50=7.75x-5.50x\\31.50=2.25x\\2.25x=31.50\\

Dividing both sides by 2.25

\frac{2.25x}{2.25}=\frac{31.50}{2.25}\\x=14

After 14 weeks, both Megan and Conner will have saved the same amount.

Keywords: functions, division

Learn more about linear equations at:

  • brainly.com/question/3658196
  • brainly.com/question/3717797

#LearnwithBrainly

5 0
2 years ago
If f(x)=2x^3-x+c and f(2)=10 then what's the value of c?
Goshia [24]

Answer:

c = -4

Step-by-step explanation:

If f(x) = 2x^3 - x + c and f(2) = 10, plug in 2 for the x values in the function and make the function output 10.

10 = 2(2^3) - 2 + c    Now, we only have to deal with one variable, that is c.

10 = 2(8) - 2 + c

10 = 16 - 2 + c

10 = 14 + c

-4 = c    After simplifying, we get that c is -4.

To check this, plug in 2 for x, and -4 for c in the function. If the function produces 10 as the result, the halleluja!

f(2) = 2(2^3) - 2 - 4

f(2) = 2(8) - 2 - 4

f(2) = 16 - 2 - 4

f(2) = 10

7 0
2 years ago
Read 2 more answers
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