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Rzqust [24]
3 years ago
8

Simplify the complex number 2-4i 6+4i

Mathematics
2 answers:
krek1111 [17]3 years ago
8 0

Answer: 6+4i

Step-by-step explanation:

Paladinen [302]3 years ago
5 0

Answer:

the answer is 4+32i

Step-by-step explanation:

the answer is 4+32i

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Kevin using 84 fluid ounces of water to make in all purpose cleaner. The directions call for 4 fluid ounces of concentrated soap
nata0808 [166]

He should use 886 fluid ounces of soap.

<u>Step-by-step explanation</u>:

Know that 8 fluid ounces make 1 cup.

Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.

Thus, by unitary method,

84 ounces of water need 32 × 84 / 3 ounces of soap.

Thus the answer comes to 886 ounces.

7 0
3 years ago
Which of the following Statements are true?
choli [55]

Answer: Only Statement 1 is True.

Step-by-step explanation:

A box is essentially a rectangular prism, which has 8 corners. Tubes, pipes, and cans are cylinders because the corss-section of them are circular and the connection between the bases are parallel.

8 0
2 years ago
Help on this one up above.
AleksandrR [38]

With all the stuff added together, the sum is 2.03 kg

7 0
3 years ago
The number of events is 29​, the number of trials is 298​, the claimed population proportion is​ 0.10, and the significance leve
Nina [5.8K]

Answer:

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

\hat p=\frac{29}{298}=0.0973 estimated proportion

p_o=0.1 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0
2 years ago
Find the slope of the line.
lukranit [14]

Answer:

0

Step-by-step explanation:

slope = dy/dx

= 0/x

= 0

7 0
2 years ago
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