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navik [9.2K]
4 years ago
11

Find the percent of discount for $70 discounted to $63. Round to the nearest percent.

Mathematics
1 answer:
aksik [14]4 years ago
5 0
70 x P = 63
P=63/70 = 0.9
Since P is 1-the discount
1-discount= 0.9
discount is 0.1, or 10 %
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Elena's distances and times for a training run are given by the equation , where represents distance in miles and represents tim
katrin [286]

Answer:

Elena's run for 1.17 miles in ten minutes

Step-by-step explanation:

From the question

y = 8.5 x ; where x is Distance in miles, and y is time in minutes

and y= 10 minutes

thus on substituting the respected values we get

10 = 8.5 x

⇒ x  = \frac{10}{8.5}  = 1.17 miles

Therefore Elena's run for 1.17 miles in ten minutes

3 0
3 years ago
A simple random sample of size n=250 individuals who are currently employed is
Likurg_2 [28]

Answer:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

Step-by-step explanation:

For this case we can estimate the population proportion of people that they did work at home at least once per  week with this formula:

\hat p = \frac{X}{n}= \frac{26}{250}= 0.104

We need to find the critical value using the normal standard distribution the z distribution. Since our condifence interval is at 99%, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

3 0
3 years ago
What is the vertex of f(x)= -3/4|x|+7? also how do i graph it?
Harrizon [31]

Rewrite in standard form and use this form to find the vertex

(h,k).(0,7)  

then just graph the (0,7) the just down cross the line down like a triangle

7 0
4 years ago
A boarding kennel mixes dry dog ​
7nadin3 [17]
A) Yes. There is 3x as much dry dog food as there is wet dog food. 1.5 x 3 = 4.5 oz. 2 x 3= 6 oz. 3 x 3 = 9 oz
b) 16.5. (5.5 x 3 = 16.5)
7 0
3 years ago
B) Find the value of a^2 + b^2 when a = 3 and b= -2
Zielflug [23.3K]

Answer:

13

Step-by-step explanation:

a = 3

b = -2

a² + b² = 3² + (-2)²

= 9 + 4

= 13

5 0
3 years ago
Read 2 more answers
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