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MariettaO [177]

3 years ago

10

The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab

solute value inequality for the range of acceptable widths.
A.|w – 0.3| ≤ 7

B.|w + 7| ≤ 0.3

C.|w – 7| ≤ 0.3

1 answer:

tester [92]3 years ago

6 0

<span>
</span> $(7-.3) \leq w \leq (7+.3)
$

$6.7 \leq w \leq 7.3$

$w - 7 = -0.3$

$w = 6.7$

So the answer is

<span>C. |w – 7| ≤ 0.3</span>

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

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Answer:

d = 115.4 mi

Step-by-step explanation:

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From the Garbage to the Hotel is 58.3 miles.

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We are trying to find the distance from the Garbage to the Hardware Store, we simply add the distances between:

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GenaCL600 [577]

Answer:

jayden is 11.

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Step-by-step explanation:

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2 years ago

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A city’s population is increasing at a rate of 5% each year. Which type of model describes this situation?

Basile [38]

Answer:

Exponential

Step-by-step explanation:

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Solnce55 [7]

Answer:

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3 years ago