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liq [111]
3 years ago
7

71. Lesson 3

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
1. -1
2. 1/2
not sure:
3. 7? —> 7x 1/7x=7x1= 7
4. 1/11?
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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than
Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let \hat p = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

                               Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

            n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( \hat p \leq 70%)

       P( \hat p \leq 70%) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \leq \frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } } ) = P(Z \leq -1.07) = 1 - P(Z < 1.07)

                                                                       = 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0
3 years ago
If a woman takes an early pregnancy test, she will either test positive, meaning that the test says she is pregnant, or test neg
k0ka [10]

Answer:

0.0098

Step-by-step explanation:

Probability of being pregnant:100/1000

=1/10.

98% chance:=98/100 ×1/10

=98/1000

Therefore the probability that she really is pregnant is: 0.098

3 0
3 years ago
Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of
Viefleur [7K]

ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

We can calculate point B, using the following equations obtained taking into account the above:

\begin{gathered} x_m=\frac{x_1+x_2}{2} \\  \\ -1=\frac{2+x_2}{2} \\  \\ x_2+2=-2 \\  \\ x_2=-2-2=-4 \\  \\  \\ y_m=\frac{y_1+y_2}{2} \\  \\ 8=\frac{6+y_2}{2} \\  \\ y_2+6=16 \\  \\ y_2=16-6=10 \\  \\ \text{ Therefore, point B is located at \lparen-4, 10\rparen} \end{gathered}

The correct answer is: d. (−4, 10)

8 0
1 year ago
ANSWER FAST PLEASE
butalik [34]
1/2 Because I say because I say so
7 0
3 years ago
The equation y = -1/20 x + 10 represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which g
Snowcat [4.5K]
Thats gonna be the 1st graph
4 0
3 years ago
Read 2 more answers
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