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Karolina [17]
2 years ago
11

Justine ran for 35 minutes on monday, for 1 hour and 10 minutes on Wednesday , and for 1 hour and 15 minutes on friday. How many

total minutes did Justine run?​
Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

3 hours or 180 minutes

Step-by-step explanation:

This one should be an easy one

First, lets convert everything to units

35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.

Hope it helps :)

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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
What is 800-5x divided by 6.5
MA_775_DIABLO [31]

Answer:10 over 13 x

Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2

to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13

factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)

for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x

solution: 800-10 over 13x so your answer would still be

8 0
3 years ago
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8?
Andreyy89
Answer see attachment:

4 0
3 years ago
Find the distance represented of the coordinate plane
antiseptic1488 [7]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

From the graph we get the points,

P (2,1)

Q (6,8)

Formula

d = √((x2-x1)² + (y2-y1)²)

d = √((6-2)² + (8-1)²)

d = √ (4² + 7²)

d = √ (16 + 49

d = √65           letter A

3 0
3 years ago
Read 2 more answers
An angle measures 15 degrees more than its complement. Find the measures of the two angles
ale4655 [162]

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x+ 15 = 90

subtract 15 from each side

2x = 75

divide  each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y =52.5

The two angles are 37.5 and 52.5


3 0
2 years ago
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