All categories

3 years ago

Which expression is equivalent

Mathematics

2 answers:

NeTakaya3 years ago

7 0

Answer:

the first one

Step-by-step explanation:

ivanzaharov [21]3 years ago

7 0

I think it’s the first one

You might be interested in

According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the

Leto [7]

Answer:

Step-by-step explanation:

We assume that there are 100 sour candies, Thus-

26 % of candy are grape implies that 26% of 100 candies are grape that is equal to 26

Now remaing candies that are not grape are 100-26 = 74

Based on the rule of multiplication:

P(A ∩ B) = P(A)/ P(B|A)

 In the beginning, there are 26grape candies, probability of choosing first grape candy = 26C1 = 26

 After the first selection, we replace the selected grape candy so there are still 100 candies in the bag P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!

= 50 x 33 x 98

So probability =1/ 50 x 33 x 98 x 26

= 1/4204200

8 0

3 years ago

Read 2 more answers

A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products

tester [92]

Answer:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

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".

$\bar X=22$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size

ME = 2 represent the margin of error accepted

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (3)

We can use as estimator for the population deviation the sample deviation $\hat \sigma = s$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (3) we got:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

6 0

3 years ago

What is the value of x?

garik1379 [7]

Answer:

x=4

Step-by-step explanation:

3 0

3 years ago

How much is 1/9 of 3/8 (in lowest terms)? A)4/17 B)03/17 C)1/36 D)1/24

mojhsa [17]

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

8 0

2 years ago

Are the following ratios proportional? 5:8 and 25:40 a) Yes b) No

Alenkasestr [34]

Answer:

a)yes

Step-by-step explanation:

5 times 5 is 25

8 times 5 is 40

5 0

3 years ago