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Natalka [10]
3 years ago
9

The product of (3 + 2i) and a complex number is (17 + 7i).

Mathematics
1 answer:
Ann [662]3 years ago
3 0
I= -1



<span>for more information

</span> https://answers.yahoo.com/question/index;_ylt=A0LEVvfuKZ5YRFsAlWIPxQt.;_ylu=X3oDMTBybGY3bmpvBGNvbG8D...

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(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a
LenaWriter [7]

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by \hat p = \dfrac{x}{n}

\hat p = \dfrac{620}{1200}

\hat p =0.5167

The null and the alternative hypothesis can be computed as:

H_o: P=0.50 \\ \\ H_a :P>0.50

The formula for the one-sample Z-test for the population proportion can be expressed as:

Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}

Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}

Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}

Z = 1.157

4 0
3 years ago
Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough?
Artist 52 [7]

each one would be two and a half inches

5 0
3 years ago
The low temperatures for four nights in December for a city are recorded below.
photoshop1234 [79]

Answer:

the answer is <u>A</u><u> </u>

Step-by-step explanation:

its because -4 is the coldest and 3 is the warmest out of the rest

5 0
3 years ago
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant m
Marianna [84]

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

Step-by-step explanation:

The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)

25 => 0.31

49 = > 1.69

60 => 1.66

55 => 1.7

68 => 3.31

The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

5 0
3 years ago
Solve the proportion x/8= 3/12. Please help.
galben [10]

Answer:

2

Step-by-step explanation:

\frac{x}{8}  =  \frac{3}{12}  \\  \\ x =  \frac{8 \times 3}{12}  \\  \\ x = \frac{24}{12}\\  \\ x = 2

5 0
3 years ago
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