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Lunna [17]
3 years ago
13

. In the 2012 Olympics, Usain Bolt ran the 100m dash in 9.63 seconds. Jim Hines won the 1968 Olympic gold with a time of 9.95 se

conds. A. Bolt's time was ___% faster than Hines'. B. Hine' time was ___% slower than Bolt's. C. Hine' time was ___% of Bolt's.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 1

Answer:

A. 3.2% faster

B. 3.3% slower

C. 103.3%

Step-by-step explanation:

In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.

.32/9.63 = 3.2%

In the second, we take the difference and divide by Bolt's time.

.32/9.95 = 3.3%

And finally, in the last one, we take Hines' time and divide by Bolt's.

9.95/9.63 = 103.3%

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3.
grandymaker [24]

Answer:

The Answer is is option B.

6 0
3 years ago
What is 0.26 repeating made into a decimal
Savatey [412]

It already is a decimal unless you mean a repeating decimal, it would be .26 with a line over the number.
3 0
3 years ago
Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho
SOVA2 [1]

Answer: 0.065

Step-by-step explanation:

Given : Sample size : n= 320

The sample proportion of people who rent their home : p=\dfrac{176}{320}=0.55

Significance level : \alpha:1-0.98=0.02

Then , Critical value : z_{\alpha/2}=2.33

The formula to find the margin of error : -

E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

4 0
3 years ago
Please help!!! <br> I’m so bad at math.
marishachu [46]

Answer:

x = - 9 , 6

Step-by-step explanation:

The given function is  

h(x) = \frac{x - 8}{x^{2} + 3x - 54}

⇒ h(x) = \frac{x - 8}{(x - 6)(x + 9)}

Therefore, the value of h(x) will be undefined for the denominator equal to zero.

So, (x + 9)(x - 6) = 0

⇒ x = - 9 and x = 6

Therefore, the values of x which are not in domain of function h(x) are x = - 9 , 6. (Answer)

4 0
3 years ago
17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
Pavlova-9 [17]

Answer:

r = 3.74cm

Step-by-step explanation:

Given

Hemisphere

Radius = 7cm

Cone

Height = 49m

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

V_1 = \frac{2}{3}\pi r^3

Substitute 7 for r

V_1 = \frac{2}{3}\pi * 7^3

V_1 = \frac{2}{3}\pi * 343

V_1 = \frac{686}{3}\pi

Volume (V2) of a cone is:

V_2 = \frac{1}{3}\pi r^2h

Because the lead is cast into a cone, then they have the same volume.

So, we have:

\frac{686}{3}\pi = \frac{1}{3}\pi r^2h

686 =  r^2h

Substitute 49 for h

686 =  r^2 * 49

Divide both sides by 49

r^2 = \frac{686}{49}

r^2 = 14

r = \sqrt{14

r = 3.74cm

<em>Hence, the radius of the cone is 3.74cm</em>

5 0
3 years ago
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