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trasher [3.6K]
3 years ago
14

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0
It's 5/8 mile. hope it will help you!
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A basketball is 11 times as heavy as a tennis ball. If a tennis ball weighs 58 grams, what is the weight of a basketball in kilo
Vlada [557]

Answer:

0.638 KGs or 638 grams

Step-by-step explanation:

as we know 1000grams = 1 kilogram

therefore the weight of basketball :

11*58/1000 = 0.638 KGs

8 0
3 years ago
F(x) = -x(2nd power) + 4 when x = 3
Pepsi [2]
F(x) = -x² + 4
f(3) = -3² + 4
f(3) = -9 +4
f(3) = -5
5 0
3 years ago
What is the value of the angle marked with x?
morpeh [17]

Given:

Quadrilateral with opposite lines are parallel.

To find:

The value of x

Solution:

Quadrilateral with opposite lines are parallel.

Therefore the quadrilateral is a parallelogram.

In parallelogram, the adjacent angles are supplementary angles.

⇒ 48° + x = 180°

Subtract 48° from both sides.

⇒ 48° + x - 48° = 180° - 48°

⇒ x = 132°

The value of the angle x is 132°.

4 0
3 years ago
Given: y || z<br> Prove: m&lt;5 + m&lt;2 + m&lt;6 + 180
GrogVix [38]

Answer:

5+2=7

6+180=186

186+7=193

the answer is 193m

Step-by-step explanation:

7 0
3 years ago
To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. T
scoundrel [369]

Answer:

\sigma = 0.07770

Step-by-step explanation:

Given

The above table

Required

The standard deviation

First, calculate the class mid-point. This is the average of the class interval.

The mid-point x is:

x_1 = \frac{1}{2}(15.3 + 15.6) =\frac{1}{2} * 30.9 = 15.45

x_2 = \frac{1}{2}(15.6 + 15.9) =\frac{1}{2} * 31.5 = 15.75

x_3 = \frac{1}{2}(15.9 + 16.2) =\frac{1}{2} * 32.1 = 16.05

x_4 = \frac{1}{2}(16.2 + 16.5) =\frac{1}{2} * 32.7 = 16.35

x_5 = \frac{1}{2}(16.5 + 16.8) =\frac{1}{2} * 33.3 = 16.65

So, we have:

\begin{array}{cccccc}x & {15.45} & {15.75} & {16.05} & {16.35} & {16.65} \ \\ f & {14} & {25} & {84} & {18} & {9} \ \end{array}

Calculate mean

\bar x = \frac{\sum fx}{\sum f}

\bar x = \frac{15.45 * 14 + 15.75 * 25 + 16.05 * 84 + 16.35 * 18 + 16.65 * 9}{14 + 25 + 84 + 18 + 9}

\bar x = \frac{2402.4}{150}

\bar x = 16.016

The standard deviation is:

\sigma = \sqrt{\frac{\sum(x_i - \bar x)^2}{\sum f}}

\sigma = \sqrt{\frac{(15.45 - 16.016)^2+ (15.75  - 16.016)^2+ (16.05  - 16.016)^2+ (16.35   - 16.016)^2+ (16.65  - 16.016)^2}{14 + 25 + 84 + 18 + 9}}

\sigma = \sqrt{\frac{0.90578}{150}}

\sigma = \sqrt{0.00603853333}

\sigma = 0.07770

4 0
3 years ago
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