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3 years ago

What is the average speed (miles/hour) for an object going 1500 feet in 1 minute. Round answer to two decimal places.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

there are 3600 seconds per hour

5280 feet per mile

1 foot per second = 3600/5280 = 0.681818 Miles per Hour

60 seconds per minute

so 1500/60 = 25 feet per second

25 x 0.681818 = 17.05 miles per hour

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Twenty-seven is 20% of 60. Help

Stella [2.4K]

Answer:

False

Step-by-step explanation:

Equation is .2*60=12

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3 years ago

Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He

Nonamiya [84]

Answer:

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

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3 years ago

Yul has lunch at a restaurant. The bill is $14.50 and the sales tax amount is 5%. If he wants to leave a 20% tip after the sales

jek_recluse [69]

Answer:

The tip will be $3.05.

The bill will cost $18.28 with the tip and tax.

Step-by-step explanation:

14.50 + 5% (or 0.73) = 15.23

15.23 + 20% (or 3.05) = 18.28

5 0

3 years ago

Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.

geniusboy [140]

Answer:

one orange costs $0.35 and one grapefruit costs $0.45

Step-by-step explanation:

let grapefruits be g , let oranges be o

so first equation:

→2g + 3o = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

→ g = ($1.95 - 3(0.35))/2

→ g = 0.45

Therefore one grapefruit costs $0.45

4 0

2 years ago

For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150the test statistic a. must be positive. b. must be negative. c. can

Virty [35]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =150$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:

Null hypothesis: $\mu \geq 150$

Alternative hypothesis: $\mu < 150$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

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3 years ago