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2 years ago

A person jogs 780 meters south and

Mathematics

1 answer:

givi [52]2 years ago

3 0

Answer:

24.8 degrees

Step-by-step explanation:

input the side lengths into the law of cosines, and subtract from 180 to get your final answer. hope this helped, and good luck :)

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

John is creating crafts that require 4 2/5 inches of string each. If the string comes in a 50ft spool, how many items can he mak

Elena L [17]

Answer:

Step-by-step explanation:

12 in = 1 ft

600 in = 50ft

$600\div 4\frac{2}{5}$ =

600÷4.4 =

136.3636363...≈136

7 0

2 years ago

Read 2 more answers

Evaluate the expression. 7 x (6 - 3) 21 39 46 63

Vlad1618 [11]

Answer:

It's 21

Step-by-step explanation:

7(6−3)

=(7)(3)

=21

4 0

2 years ago

Read 2 more answers

Help me asap …………..p

borishaifa [10]

Answer:

1.) Tan C = $\frac{12}{5}$

2.) Sin Z = $\frac{24}{26}$ or $\frac{12}{13}$ if reduced

3.) Cos A = $\frac{15}{17}$

4.) Cos A = $\frac{12}{37}$

Step-by-step explanation:

Let's keep in mind that;

Sin = $\frac{opposite}{hypotenuse}$

Cos = $\frac{adjacent}{hypotenuse}$

Tan = $\frac{opposite}{adjacent}$

Hope this helps!

5 0

2 years ago

Mark all the statements that are true a) the domain for this function is the set {3}

telo118 [61]

Answer:

the answer is 6 statements

Step-by-step explanation:

8 0

2 years ago