What is the probability that your birthday will fall on saturday or sunday

Your math teacher given you 20 questions . 15 % Of the assignment is done. How many is completed

Semenov [28]

Answer:

3

Step-by-step explanation:

20×0.15

equal 3

3 0

2 years ago

44.1 = 4.9p what does “p” equal

Talja [164]

Step 1: Flip the equation.

4.9p=44.1

Step 2: Divide both sides by 4.9.

4.9p= 44.1

4.9/4.9 = 44.1/4.9

p=9

3 0

2 years ago

A team is selling pop corn for a fundraiser. The first week, they sell 500 bags. The second week, they sell 50% more than the fi

Dmitriy789 [7]

Answer:

The percentage decrease from the first week to the third week is 25 %

Step-by-step explanation:

The number of popcorn bags sold on the first week = 500 bags

The second week, they sell 50% more than the first week

So, the number of bags sold on the second week is

= 500 + 50% of 500

= $500 + \frac{50}{100} \times 500$

= $500 + 0.5 \times 500$

= 500 + 250

= 750 bags

The third week, they sold 50% less than the second week

So, the number of bags sold on the third week is

= 750 - 50% of 750

= $750 - \frac{50}{100} \times 750$

= $750 -0.5 \times 750$

= 750 - 375

= 375 bags

Now the percentage decrease from the first week to the third week is

= $\frac{500 - 375}{500} \times 100$

= $\frac{125}{500} \times 100$

= $0.25 \times 100$

= 25 %

4 0

2 years ago

A simple random sample of 100 8th graders at a large suburban middle school indicated that 87% of them are involved with some ty

UkoKoshka [18]

Answer:

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the margin of error is given by:

$ME = 1.96 *\frac{0.87*(1-0.87)}{100} = 0.0659$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the margin of error is given by:

$ME = 1.96 *\frac{0.87*(1-0.87)}{100} = 0.0659$

5 0

2 years ago

The answer to a division problem is given below. Label each part of the division problem

balandron [24]

Answer:

The quotient is (x² + 2x - 2)

The dividend is (2x³ + 7x² + 2x + 9)

The remainder is 15

The divisor is (2x + 3)

Step-by-step explanation:

The quotient is the answer of the division
The dividend is the part before (above) the division sign (bar of the fraction)
The divisor is the part after (below) the division sign (bar of the fraction)
The remainder is the part left over in a division problem

The relation between them is dividend ÷ divisor = quotient + $\frac{remainder}{divisor}$