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kykrilka [37]
2 years ago
9

Justin recently drove to visit his parents who live 300 miles away. On his way there his average speed was 11 miles per hour fas

ter than on his way home (he ran into some bad weather). If Justin spent a total of 10 hours driving, find the two rates.
Mathematics
1 answer:
Lynna [10]2 years ago
5 0

Answer:

x=1

Step-by-step explanation:

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igomit [66]
X=3
LOM and KOL are equivalent, so the equation is 43=6x+25 :)
5 0
2 years ago
Of a group of randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wa
Wittaler [7]

Answer:

We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

Step-by-step explanation:

We are given that in a group of randomly selected adults, 160 identified themselves as executives.

n = 160

Also we are given that 42 of executives preferred trucks.

So the proportion of executives who prefer trucks is given by

p = 42/160

p = 0.2625

We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.

We can use normal distribution for this problem if the following conditions are satisfied.

n×p ≥ 10

160×0.2625 ≥ 10

42 ≥ 10 (satisfied)

n×(1 - p) ≥ 10

160×(1 - 0.2625) ≥ 10

118 ≥ 10 (satisfied)

The required confidence interval is given by

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.

Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96

$ p \pm z\times \sqrt{\frac{p(1-p)}{n} } $

$ 0.2625 \pm 1.96\times \sqrt{\frac{0.2625(1-0.2625)}{160} } $

$ 0.2625 \pm 1.96\times 0.03478 $

$ 0.2625 \pm 0.06816 $

0.2625 - 0.06816, \: 0.2625 + 0.06816

(0.1943, \: 0.3306)

(19.43\%, \: 33.06\%)

Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%

5 0
3 years ago
I need the answer please don’t scam with a link
-BARSIC- [3]
A.) False
b.) True
c.) True
d.) True
3 0
3 years ago
Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
Brut [27]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>1/18 of a gallon of juice in each cup.</em>

▹ Step-by-Step Explanation

Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.

\frac{4}{9} / 8

Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:

\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}

Our final answer will be 1/18 of a gallon of juice in each cup.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

5 0
2 years ago
Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby
Ipatiy [6.2K]

Answer:

The rate of change is 8

Step-by-step explanation:

put the 16 as the numerator then the 2 hours as the denominator then divide by 2 to get you 8 dollars for 1 hour

8 0
2 years ago
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