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3 years ago

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

Step-by-step explanation:

There are nine numbers on the spinner with 4 even and 5 odd numbers. Flipping a tail is just 1/2 so

P(ETO)=(4/9)(1/2)(5/9)

P(ETO)=20/162

P(ETO)=10/81

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A company decided to test the hypothesis that the average time a company’s employees are spending to check their private e-mails

Degger [83]

Answer:

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

Since is a one sided right tailed test the p value would be:

$p_v =P(z>2.232)=0.0128$

Step-by-step explanation:

Data given and notation

$\bar X=6.6$ represent the sample mean

$\sigma=1.7$ represent the population standard deviation

$n=40$ sample size

$\mu_o =6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 6minutes or no, the system of hypothesis would be:

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

If we analyze the size for the sample is > 30 and we know the population deviation so 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".

Calculate the statistic

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

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

P-value

Since is a one sided right tailed test the p value would be:

$p_v =P(z>2.232)=0.0128$

5 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP *67 points*

ycow [4]

If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high. Its area would be 9x5= 45 cm².

But that piece is cut out of the bottom. The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².

9 cm² have been cut out of the 45 cm² of the complete big rectangle. So the remaining area of the figure is 45 - 9 =<em> 36 cm²</em> .

4 0

3 years ago

What is 1004 divided by 39

lbvjy [14]

It will be 25.7435 i hope that the right answer

5 0

4 years ago

Read 2 more answers

F) One number is 78 more than

vladimir2022 [97]

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than another, so

The larger number = x+78

Given that if we add 12 to the smaller number, the result is 50, so

$x+12=50$

subtract 12 from both sides

$x+12-12=50-12$

Simplify

$x=38$

Therefore,

The smaller number = 38

The larger number = x+78 = 38+78 = 116

Thus, the larger number = 116

7 0

3 years ago

1700 thousand minus 1/10

dolphi86 [110]

1500 is minus 1/10 after it is at 1700 thousad

8 0

4 years ago