This is a mathematical sentence written with a greater than, a less than sign, or a not equal to sign.

Answers

Answer 1

Answer:

greater than means >

less than <

not equal to ≠

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Diane has no sisters, but her brother Wayne has one more brother than he has sisters. How many brothers does Diane have?

Answers

Diane has two brothers. Since she has no sisters, but her brother (+1) has one more brother (+1) than sisters (0).

she has 2 brother because he has one sister

2^2 x 3^3 x 4^5/ 2 x 3 x 4^5
Please explain

Answers

Answer:

Step-by-step explanation:

Hi there !

2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =

simplify 2 ; 3 ; 4⁵

= 2ₓ3²/1

= 2ₓ9

= 18

Good luck !

What formula is used to calculate a percentage?

Answers

Answer: (value/total value)x100%

Step-by-step explanation:

The percentage can be found by dividing the value by the total value and then multiplying the result by 100 for example the formula used to calculate the percentage is (value/total value)x100% then boom easy peezy

Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?

Answers

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.

Whats the mean, media, maximum,minimum,mode and range of 1,2,1,3,4

Answers

First put the numbers in order least to greatest.
(1,1,2,3,4)
The mean is the average of the group of numbers.
Too find it you add all the numbers up and divide it by how many numbers there are.
In this case it would be 11 divided by 5 so the mean would be $2 (1)/(5)$

Median is just another word for middle. After putting the numbers in order, the number in the center of the group is the median, in this case it would be 2.

The maximum would just be the largest number which is self explantory (4)

The minimum would be the lowest number (1)

I was taught to see mode as the word "most". All you do is see which number occurs the most. If all the numbers only occur once, your answer would be "No mode"

It is that simple! The Range is the difference between the lowest and highest number. So all you have to do is subtract the maximum by the minimum. In this case it would be 4-1 = 3

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean percentage of cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 60% with a standard deviation of 8%. What is the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao? (Round to the nearest thousandth.)Select Answer:
A. (0.577, 0.623)
B. (0.539, 0.561)
C. (0.527, 0.573)
D. (0.589, 0.611)

Answers

Answer with explanation:

Given : Sample size : n = 36

Significance level for 90% confidence : $\alpha: 1-0.9=0.1$

Sample mean : $\overline{x}=0.60$

Standard deviation : $\sigma=0.08$

By using standard normal table for t-values,

Critical t-value : $t_((n-1, \alpha/2))=t_((35,\ 0.05))=1.690$

Thus, the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao : $t_((35,\ 0.05))=1.690$

Confidence interval for population mean :

$\overline{x}\pm t_((n-1, \alpha/2))(\sigma)/(√(n))\n\n=0.60\pm(1.69)(0.08)/(√(36))\n\n=0.60\pm0.0225333333333\n\n\approx0.60\pm0.023\n\n=(0.60-0.023,\ 0.60+0.023)=(0.577,\ 0.623)$

Hence, A is the correct answer .

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