All categories

3 years ago

You spin the spinner and flip a coin. Find the probability of the compound event.

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

Answer:

1/10.

Step-by-step explanation:

Prob(Spinning a 1) = 1/5.

Prob(Flipping a Head) = 1/2.

Probability of a 1 then a head = 1/5 * 1/2 = 1/10.

Note: we multiply the probabilities because the 2 events are independent.

You might be interested in

Please see attached below and please explain how to solve.

densk [106]

Answer:

The 6% simple interest account earns more interest in 2 years.

Step-by-step explanation:

You can compare the multipliers in the interest formulas.

For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...

A = P(1 +rt)

For the values given, r=.06 and t=2, the multiplier is ...

1 +rt = 1 +.06·2 = 1.12

For interest compounded annually, the amount will be ...

A = P(1 +r)^t

For the given values, the multiplier is ...

(1+r)^t = (1.04)^2 = 1.0816

Since 1.12 > 1.0816, the account earning simple interest will earn more interest.

5 0

3 years ago

Simplify (5x^3-x+14)-(3x^2-9x+4)

forsale [732]

5x^3 -3x^2 +8x +10 Combine all the like terms and multiply everything in the second parentheses by -1

I hope this help's you :)

7 0

4 years ago

Read 2 more answers

The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in

Sati [7]

Answer:

a.The advertising campaigns increased the average daily sales.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the advertising campaigns increased the average daily sales.

Then, the null and alternative hypothesis are:

$H_0: \mu=7000\\\\H_a:\mu> 7000$

The significance level is 0.05.

The sample has a size n=100.

The sample mean is M=7280.

The standard deviation of the population is known and has a value of σ=1000.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1000}{\sqrt{100}}=100$

Then, we can calculate the z-statistic as:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{7280-7000}{100}=\dfrac{280}{100}=2.8$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.8)=0.0026$

As the P-value (0.0026) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the advertising campaigns increased the average daily sales.

7 0

3 years ago

What is the total amount of fabric needed to make the tent with the following dimensions?

-Dominant- [34]

The answer is 30 for all the dimensions

8 0

3 years ago

He number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the

denis-greek [22]

The function that represents the number of E.coli bacteria cells per 100 mL of water as t years elapses, and is missing in the question, is:

$A(t)=136(1.123)^{4t}$

Answer:

Option A. 59%

Explanation:

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function::

$A(t)=136(1.123)^{4t}$

$rate=(1.123)^{4t}=(1.123)^4=1.590$

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

You can calculate it also using two consecutive values for t. For instance, use t =1 and t = 1

$t=1\\\\ A(1)=136(1.123)^4\\\\\\t=2\\ \\ \\A(2)=136(1.123)^8\\ \\ \\A(2)/A(1)=1.123^8/1.1123^4=1.123^4=1.590$

6 0

3 years ago