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3 years ago

Find |4 + 3i| |4 + 3i|. . . . Please show all your work. 'i' is an imaginary number

1 answer:

8 0

$\bf \textit{recall that }\qquad i^2=-1\\\\
-------------------------------\\\\
|4+3i|~|4+3i|\implies (4+3i)(4+3i)\implies 16+12i+12i+9i^2
\\\\\\
16+24i+9(-1)\implies 16+24i-9\implies 7+24i$

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HELP ME PLEASE!!!!!!!!

garri49 [273]

Perimeter is adding all the outside dimensions. The left side of the shoae is a rectangle, so the bottom line is the same as the top line, 10 feet.

Perimeter = 8 + 10 + 8.9 + 10 + 4 = 40.9 ft.

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4 years ago

The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

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

z would represent the statistic (variable of interest)

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

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

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".

3) Calculate the statistic

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

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

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3 years ago

Write a trinomial of degree 35

Virty [35]

We know that
<span>Trinomial of degree 35 means a polynomial
that
a) Having three terms
b) highest degree is 35

examples
x</span>^35+x³+3
x^35+2x-8
x^35+x²+2
etc

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3 years ago

Name the property. 6 + 0 = 6

Rashid [163]

Answer:

The Identity property of addition

Step-by-step explanation:

The identity property of addition states that any number plus zero equals the original number. So, since 0 is being added to 6, it must still be equal to 6. This property works for any number, which is why it works as a property.

This is not to be confused with the identity property of multiplication that states that any number times 1 equals the original number.

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3 years ago

A rectangular garden measures 4 feet by 7 feet. If we increase the length and width by the same amount, then the new area is 88

malfutka [58]

Answer:

the answer is 11 by 8 feet.

Step-by-step explanation: 8 times 11 equals 88 and since the area is 88 that's the answer.

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4 years ago