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Gnom [1K]
4 years ago
10

in a recent year a baseball team paid five times to their ace pitcher as they paid to their shortstop. if they paid $12 million

for the two salaries, what did they pay each player ? btw this is something with consecutive
Mathematics
1 answer:
arsen [322]4 years ago
4 0
They paid their pitcher $10 million and their shortstop $2 million
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In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the t
ratelena [41]

Let's assume

It started in 2000

so, t=0 in 2000

P_0=6.4million

we can use formula

P(t)=P_0 e^{rt}

we can plug value

P(t)=6.4 e^{rt}

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

so, at t=2005-2000=5

P(t)=7.3 million

we can plug value and then we can solve for r

7.3=6.4 e^{r*5}

r=0.02632

now, we can plug back

P(t)=6.4 e^{0.02632t}

now, we have

P(t)=1 billion =1000 million

so, we can set it and then we can solve for t

1000=6.4 e^{0.02632t}

t=191.924

approximately

t=192

Year is 2000+192

year is 2192................Answer

4 0
3 years ago
A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
Can some one help pls
arlik [135]

Answer: <DEF & <JKL

Step-by-step explanation:

they equal 90 degrees

complementary angles equal 90 degrees

8 0
3 years ago
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You spin a spinner and flip a coin find the probability of the compound event the probability of spinning an even number and fli
Anastaziya [24]

Answer: their is 50 percent that it will land on heads

Step-by-step explanation: it will have a completely random chance no matter how many times you flip a coin on tails it will always have a fifty percent chance even if you flipped the coin 1000000 and it landed on tails all those times it would still have the fifty fifty probability of landing on heads hope this has helped and good question  

3 0
3 years ago
Which of the following are true statements? Select two that apply.
Savatey [412]

Answer:

Options A and C are correct answers

Step-by-step explanation:

A) \angle 5\: and \:\angle 1 are complementary.

C) \angle 3\: and \:\angle 4 form a linear pair.

Hope it helps you in your learning process.

7 0
3 years ago
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