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Ivahew [28]
3 years ago
10

Which values of x and y would make the following expression represent a real number? (6 + 3i)(x + yi)

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

C. x = 6, y = –3

Step-by-step explanation:

I just took the test and got it right :)

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The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
Given ∆QRS≅∆TUV, QS=4v+3, and TV=7v-9, find the length of QS and TV.?
Anon25 [30]
If we are supposed to assume that QS=TV

4v+3=7v-9
minus 4v both sides
3=3v-9
add 9
12=3v
divide 3
4=v
v=4

sub back

4v+3=QS=TV
4(4)+3=QS=TV
16+3=QS
19=QS=TV

then answer is C
7 0
3 years ago
Read 2 more answers
Tickets for a game Cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number of adults.
Elina [12.6K]

Question

Tickets for a game Cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number of adults. The total amount of money from ticket sales was $619. How many of each tickets were sold?

Step-by-step explanation:

6 0
3 years ago
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Let g = 3. evaluate 12 g⋅(9÷<br> g.
swat32
With g=3
Just replace every g with a 3.
So the equations becomes:
12g·(9÷g)=12(3)·(9÷(3))

This can also be written in the form:
\frac{12(3)9}{3}

Cancelling out the 3's:
12·9=108

4 0
3 years ago
The volume of a cone is 251.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
Luden [163]
L hope this helps you

6 0
3 years ago
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