MATHEMATICS COLLEGE

The fraction 24/28 In simplest form is____.
12/14
48/56
6/9
6/7

Answers

Answer 1
Answer:

Answer:

6/7

Step-by-step explanation:
Answer 2
Answer:

Answer:

6/7

Step-by-step explanation:

divide it by 4

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please i need help i will give 15 points and mark brainlist for the best one !!!!! Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”

Answers

Answer: Change it to decimal

Step-by-step explanation:

Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.

Absolute value -1+5 |n|=44 pls show work

Answers

Answer:

n = -9 or 9

Step-by-step explanation:

-1 + 5|n| = 44

~Add 1 to both sides

5|n| = 45

~Divide 5 to both sides

|n| = 9

~Knowing the absolute value rule, the answer can be positive or negative.

Best of Luck!

Answer:

  • The value of n is 9 or -9.

Step-by-step explanation:

  • -1 + 5|n| = 44
  • => 5|n| = 44 + 1
  • => 5|n| = 45
  • => |n| = 45/5
  • => |n| = 9 or -9
  • => n = 9 or -9

Hence, the value of n is 9 or -9.

Hoped this helped.

BrainiacUser1357

On a recent trip to the convenience Store you picked up 2 gallons of milk five bottles of water and eight snack size bags of chips your total was $25 if a bottle of water cost twice as much as a bag of chips and a gallon of milk cost $1.50 more than a bottle of water how much does each item cost

Answers

Given

2 milks + 5 waters + 8 chips = $25

water cost = 2×chips cost

milk cost = $1.50 + water cost

Find

The cost of each: milk, water, chips.

Solution

Let m, w, and c represent the costs of milk, water, and chips, respectively. We can write the given relations more compactly as

... 2m + 5w + 8c = 25

... w = 2c

... m = w + 1.5

We can substitute for w everywhere using the second equation. This gives us

... m = 2c +1.5

... 2(2c+1.5) + 5(2c) + 8(c) = 25

... 22c + 3 = 25

... 22c = 22

... c = 1

Then

... m = 2·1 + 1.5 = 3.5

... w = 2·1 = 2

A gallon of milk costs $3.50, a bottle of water costs $2.00, a bag of chips costs $1.00.

$3.50 is how much the milk costs, a bottle of water is $2.00, and the chips are  $1.00.

Consider the following hypothesis test:H 0: = 17H a: 17A sample of 40 provided a sample mean of 14.12. The population standard deviation is 4.a. Compute the value of the test statistic (to 2 decimals). (If answer is negative, use minus "-" sign.)b. What is the p-value (to 4 decimals)?c. Using = .05, can it be concluded that the population mean is not equal to 17? SelectYesNoItem 3Answer the next three questions using the critical value approach.d. Using = .05, what are the critical values for the test statistic (to 2 decimals)? ±e. State the rejection rule: Reject H 0 if z is Selectgreater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 5 the lower critical value and is Selectgreater than or equal togreater thanless than or equal toless thanequal tonot equal toItem 6 the upper critical value.f. Can it be concluded that the population mean is not equal to 17?

Answers

Answer:

We conclude that the population mean is not equal to 17.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 17

Sample mean, \bar{x} = 14.12

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 4

First, we design the null and the alternate hypothesis

H_(0): \mu = 17\nH_A: \mu \neq 17

We use Two-tailed z test to perform this hypothesis.

a) Formula:

z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }

Putting all the values, we have

z_(stat) = \displaystyle(14.12 - 17)/((4)/(√(40)) ) = -4.5536

b) P-value can be calculated from the standard z-table.

P-value = 0.0000

c) Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17

d) Now, z_(critical) \text{ at 0.05 level of significance } = \pm 1.96

e) Rejection Rule:

We reject the null hypothesis if it is less than lower critical value and greater than the upper critical value

If the z-statistic lies outside the acceptance region which is from -1.96 to +1.96, we reject the null hypothesis.

f) Since the calculated z-stat lies outside the acceptance region, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17.

Final answer:

The test statistic is -1.78 and the p-value is 0.0761, indicating that we fail to reject the null hypothesis. Therefore, it cannot be concluded that the population mean is not equal to 17.

Explanation:

The test statistic can be calculated using the formula:



test statistic = (sample mean - population mean) / (population standard deviation / sqrt(sample size))



Plugging in the given values, we get:



test statistic = (14.12 - 17) / (4 / sqrt(40))



Calculating this gives us a test statistic value of -1.78.



The p-value can be calculated using the test statistic. We need to find the probability that a test statistic at least as extreme as -1.78 would occur assuming the null hypothesis is true. Using a standard normal distribution table or software, we find the p-value to be approximately 0.0761.



Since the p-value is greater than the significance level (alpha = 0.05), we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the population mean is not equal to 17.

Learn more about Hypothesis testing here:

brainly.com/question/34171008

#SPJ11

Help please !!!! algebra question !!!

Answers

Answer:

it depends on the value of x

Step-by-step explanation:

Eg. if x = 1

then, 3(1) < 4

and if, x = 2

then, 3(2) > 4

hope this helps

A factory received a shipment of 10 generators, and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.

Answers

Answer:

A) 0.026

B) 0.130

Step-by-step explanation:

Complete Question

A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.

(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.

(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.

Solution

A) This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of generators to be picked = 4

x = Number of successes required = number of defective generators required = 4

p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40

q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60

P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.

B) n = total number of sample spaces = number of generators to be picked = 4

x = Number of successes required = number of defective generators required = 0

p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40

q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60

P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.

Hope this Helps!!!
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