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3 years ago

Calculate the average velocity of a dancer who moves 5 m toward the left of the stage over the course of 15 s.

Mathematics

2 answers:

Neko [114]3 years ago

8 0

Answer:

Divide the distance by the time and get average velocity in units of m/s. The direction is to the left.

telo118 [61]3 years ago

3 0

It should be 0.33 m/s

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What value of b makes the polynomial x2+bc+16 a perfect square

Fynjy0 [20]

For a perfect square

b² = 4*a*c

Comparing ax² + bx + c = 0 to x² + bx + 16

a = 1, c = 16

b² = 4*a*c

b² = 4*1*16

b² = 64

b = √64

b = 8

The value of b = 8.

3 0

3 years ago

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.

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3 years ago

A bakery sells 5 apple muffins for every 2 bran muffins sold. which table shows this ratio?

shepuryov [24]

The answer to this question is the graph B

6 0

3 years ago

Read 2 more answers

You are dealth one card from a 52-card deck. find the probability that you are dealt a two or a black card

grigory [225]

The probability of getting a 2 or a getting a black card, find individual probabilities;

A standard deck has 52 cards.

There are 4 2's in a normal deck; probability of getting it is 4/25

The probability of getting a black card is; 26/52 since half the deck is red and black.

Now add up the probabilities since it says "or"

(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card.

Hope I helped :)

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3 years ago

*High School problem not Middle School

devlian [24]

Should be c ? can you send me a picture please ? and it’s dice .

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3 years ago