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3 years ago

Complete the statement to describe the expression (a+b+c)(d+e+f)

Mathematics

1 answer:

kherson [118]3 years ago

7 0

Answer:

The given expression consists of 2 factors, and each factor contains 3 terms.

Step-by-step explanation:

Given the expression (a+b+c)(d+e+f)

Factors are parts of expression that are connected by multiplication. we are multiplying (a+b+c) and (d+e+f) so we said (a+b+c) and (d+e+f) are factors of the expression.

Hence, there are 2 factors in given expression.

A mathematical expression contains numbers, variables and operators joined by addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are known as terms.

In each factor (a+b+c) and (d+e+f) three terms are connected by addition. Hence, there are 3 terms in both the factors.

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Find the simple interest.

Mademuasel [1]

We need to compute the exact number of days of the loan.

Given:
Loan: 1,870
rate: 11%
term: Oct. 5 to Jan 16.

Oct 5-Oct 31: 26 days
Nov: 30 days
Dec: 31 days
Jan 16: 16 days.
total number of days: 103 days.

Interest = Principal * rate * term
Interest = 1870 * 0.11 * 103/365
Interest = 58.05

Given:
Promissory note $5,380
rate 6.2%
term: July 15 to Dec. 28

July 15 - 31 = 16 days
August: 31 days
September: 30 days
October: 31 days:
November: 30 days
December: 28 days
Total number of days is 166 days

Interest = Principal * rate * term
Interest = 5,380 * 0.062 * 166/365
Interest = 151.70

8 0

3 years ago

What’s the degree of x

olga2289 [7]

Answer:
24.23

Step-by-step explanation:
The tan(x) would equal to the opposite side over the adjacent one
So 9/20. To get the degree we need to get the arctan of it, so arctan(9/20) = 24.23

5 0

2 years ago

Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

tigry1 [53]

Answer:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

$p_v =P(z$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

$\bar X =237$ represent the sample mean

$\sigma = 47$ represent the population deviation

$n =30$ represent the sample size selected

$\mu_0 = 247$ represent the value that we want to test.

The standard error for this case is given by:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

For the 90% confidence the value of the significance is given by $\alpha=1-0.9 = 0.1$ and $\alpha/2 = 0.05$ so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

$z_{\alpha/2}= 1.64$

And the margin of error would be:

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

The confidence interval for this case would be given by:

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z$

Conclusion

5 0

2 years ago

How can the zero product be applied to real life

ddd [48]

Answer:

The zero product property states that if a⋅b=0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5)=0.

The Zero Product Property simply states that if ab=0 , then either a=0 or b=0 (or both). A product of factors is zero if and only if one or more of the factors is zero.

Step-by-step explanation:

hope it helps

7 0

2 years ago

What is 5% of 80? Round to the nearest hundredth.

AysviL [449]

Answer:

Step-by-step explanation:

.05x80=4

7 0

2 years ago

Read 2 more answers