Three Less Than Is<br> Number 15

Vera_Pavlovna [14]

Multiply numerator and denominator by the conjugate of the denominator

Denominator: -10 + 8i
Conjugate of the denominator: -10 - 8i

Operation:

[9 +7i] / [-10 + 8i] * [-10 -8i] / [-10 - 8i] = [-90 - 72i - 70i +56] / [100 + 64] =

[-34 -142i] / 164 = [-17 -71i] / 82

3 0

3 years ago

Watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. T

gayaneshka [121]

Answer:

a) Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

b) $t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

Step-by-step explanation:

Information given

$\bar X=2.8$ represent the sample mean

$s=2.6$ represent the population standard deviation

$n=1310$ sample size

$\mu_o =3$ represent the value to test

$\alpha=0.5$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784$

The p value for this case can be calculated with this probability:

$p_v =P(z$

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value $\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310$ and for the alternative we select $< \mu_o$ . Then press Calculate.

And we got the same results.

6 0

4 years ago

1. Gabriella had a piece of ribbon that was 3į yards long. She used this ribbon to make bows. Each

Kobotan [32]

Answer:

B

Step-by-step explanation:

When Gabriella finish her bows she had 4 extra.

Hope this helps ;)

5 0

3 years ago

Chris bought n packs of pencils. Each pack has 10 pencils. Write an equation to represent the total number of pencils p that Chr

slava [35]

N = packs
p = number of pencils

equation: p = 10n

7 0

3 years ago

Read 2 more answers

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85 p

MrRa [10]

Let small box = X and large box = y

Set up two equations:

X + Y = 85 pounds.

Rewrite as X = 85 - y

and:

55x + 50Y = 4375 pounds.

Replace x:

55(85 - y) + 50y = 4375

Use distributive property:

4675 - 55y + 50y = 4375

Combine like terms:

4675 - 5y = 4375

Subtract 4675 from both sides:

-5y = -300

Divide both sides by -5:

y = 60

This is the weight of the large box.

The small box would weigh 85 - 60 = 25 pounds.

Large box = 60 pounds.

Small box = 25 pounds.

6 0

4 years ago

Three Less Than Is Number 15