Ask question

Ask question

All categories

3 years ago

15

There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun one time, what is the probability that the

result is a multiple of 2 and a multiple of 5?

2 answers:

ivanzaharov [21]3 years ago

6 0

Answer:

6/10 or 3/5

Step-by-step explanation:

julia-pushkina [17]3 years ago

5 0

Answer:

$\frac{1}{10}$

Step-by-step explanation:

The only multiple of 2 and 5 between 1 and 10 is 10, thus

P(multiple of 2 and 5 ) = $\frac{1}{10}$

You might be interested in

The gestation time of cats is approximately 68 days with a standard deviation of 3.9 days and is approximately Normally distribu

avanturin [10]

Answer: 90% confidence interval would be (66.92,69.08).

Step-by-step explanation:

Since we have given that

Number of kittens = n = 35

Mean = 68 days

Standard deviation = 3.9 days

We need to find the 90% confidence interval.

So, z= 1.645

So, intervals would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=68\pm 1.645\times \dfrac{3.9}{\sqrt{35}}\\\\=68\pm 1.08\\\\=(68-1.08,68+1.08)\\\\=(66.92,69.08)$

Hence, 90% confidence interval would be (66.92,69.08).

5 0

4 years ago

A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 tea

frez [133]

Answer:

b. 1.15

Step-by-step explanation:

The z statistics is given by:

$Z = \frac{X - p}{s}$

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is $s = \sqrt{\frac{p(1-p)}{n}}$

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that $X = \frac{13}{53} = 0.2453$

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that $p = 0.184$

Standard error:

p = 0.184, n = 53.

So

$s = \sqrt{\frac{0.184*0.816}{53}} = 0.0532$

Z-statistic:

$Z = \frac{X - p}{s}$

$Z = \frac{0.2453 - 0.184}{0.0532}$

$Z = 1.15$

The correct answer is:

b. 1.15

5 0

4 years ago

What is the answer to 12 - 2m + 5 = -1. show step by step wrk

Vladimir [108]

Answer:

9

Step-by-step explanation:

Picture attached.....

5 0

3 years ago

Trigonometry<br> Trigonometric Functions <br> Given: Cos θ = (3/5), Find: Csc θ

torisob [31]

The value of $\csc \theta$ is $\frac{5}{4}$

Explanation:

Given that the function $cos \ \theta$ is $cos \ \theta= \frac{3}{5}$

We need to determine the value of $\csc \theta$

<u>The value of Opposite side of the triangle:</u>

The formula for $cos \ \theta$ is given by

$cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}$

The value of opposite side can be determined using the formula,

$opp=\sqrt{hyp^2-adj^2$

$opp=\sqrt{5^2-3^2}$

$opp=\sqrt{25-9}$

$opp=\sqrt{16}=4$

Thus, the value of opposite side is 4

<u>The value of </u> $sin \ \theta$ <u>:</u>

The formula for $sin \ \theta$ is given by

$sin \ \theta= \frac{opp}{hyp}$

Substituting the values, we have,

$sin \ \theta= \frac{4}{5}$

Thus, the value of $sin \ \theta$ is $\frac{4}{5}$

<u>The value of </u> $\csc \theta$ <u>:</u>

The formula for $\csc \theta$ is given by

$csc \ \theta=\frac{1}{sin \ \theta}$

Substituting the values, we have,

$csc \ \theta=\frac{1}{\frac{4}{5}}$

$csc\ \theta= \frac{5}{4}$

Thus, the value of $\csc \theta$ is $\frac{5}{4}$

Hence, the value of $\csc \theta$ is $\frac{5}{4}$

5 0

3 years ago

Jane drew a point that was 3 units to the right of the y-axis and 7 units above the x-axis what is the ordered pair for this loc

lorasvet [3.4K]

The answer would be (3,7) in the first quadrant

7 0

3 years ago