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anastassius [24]
3 years ago
11

A retiree invests 3,000 in a savings plan that pays 3% per year. What will the account balance be at the end of the first year

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0

Interest earned = rate charged × amount invested

Interest = 3/100 × $3000 = $90

Account balance after one year = Amount invested + Interest earned

Account balance after one year = $3000 + $90 = $3090

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Answer:

At 0.05 level of significance, there is no difference in the mean number of larvae per stem. This supports the scientist's claim.

(d) H0: MeanMalathion - MeanNoMalathion equals 0

H1: MeanMalathion - MeanNoMalathion not equals 0

Step-by-step explanation:

Test statistic (t) = (mean 1 - mean 2) ÷ sqrt[pooled variance (1/n1 + 1/n2)]

Let the difference between the two means be x and the pooled variance be y

n1 = 5, n2 = 12

t = x ÷ sqrt[y(1/5 + 1/12)] = x ÷ sqrt(0.283y) = x ÷ 0.532√y = 1.88x/√y

Assuming the ratio of x to √y is 0.5

t = 1.88×0.5 = 0.94

n1 + n2 = 5 + 12 = 17

degree of freedom = n1 + n2 - 2 = 17 - 2 = 15

significance level = 0.05 = 5%

critical value corresponding to 15 degrees of freedom and 5% confidence interval is 2.131

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

The region of no rejection of the null hypothesis lies between -2.131 and 2.131

Conclusion

Fail to reject the null hypothesis because the test statistic 0.94 falls within the region bounded by the critical values.

The scientist's claim is right.

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

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3 years ago
Help !!! i dont understand !
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If the top of the fraction is less than the bottom, the fraction is less than one. However, Federico has raised 11/10 of what he needs and the top is bigger than the bottom so he’s raised the most money.
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Step-by-step explanation:

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Simplify without using the calculator or the sin tables.​
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Answer:

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Use power reduction formulas:

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Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

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