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11111nata11111 [884]
2 years ago
14

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
meriva2 years ago
8 0

Answer:

a=1, b=9, c=-2, d=4

Step-by-step explanation:

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What is a simpler form of the following expressions?
nadezda [96]

Answer:

D. 49p² - 64

Step-by-step explanation:

(7p - 8)(7p + 8)

Solving this requires the 'difference of squares' concept which states;

If (a - b)(a + b)

Then the solution must be a² - b²

Considering (7p - 8)(7p + 8) then the answer is;

(7p)² - 8² = 49p² - 64

6 0
3 years ago
Find the percent of increase or decrease from the first number to the second number. 140 to 84
tresset_1 [31]
We can automatically see that we are dealing with a percent decrease because we are going from a smaller to a bigger number. We need to first find what percent of 140the number 84 is. to do this we can set up the following equation:

140/84=100/x (this equation is basically saying if 140 is 100(%) what would 84 be?)

solving for x here gives us x = (84 X 100)/140 = 60, so 84 is 60 percent of 140 which means 140 decreased by 40 percent.

Let me know if I can clear anything else up.


8 0
2 years ago
If it cost 4 tokens to park for 1 hour how many tokesns will it cost for to park for 22 hours
Andreyy89
It will cost 88 tokens to park for 22 hours because you will have to multiply the 4 by the 22 to get the 88 tokens so therefore the answer is 88 tokens
4 0
3 years ago
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
natima [27]

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \frac{64}{100} = 0.64

Null hypothesis:    {H_0}:p = 0.64  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: {H_a}:p \ne 0.64H

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \hat  p = \frac{52}{100}

\hat  p = 0.52

The z - value is calculated by the formula:

z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}

z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}

z = \dfrac{-0.12}{0.048 }}

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value{z__{0.05}}  is obtained as:

P\left( {\left| Z \right| \le z} \right) = 0.05

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :P(Z \leq -1.96)=0.05

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

5 0
2 years ago
As a block of ice melts it changes from 1 3/4 lb to 1/4 lb and takes 1/4 hr. What is the rate the ice changes?
Nutka1998 [239]

The rate at which the ice changes is -3/8 lb per hr

<h3>What is the rate the ice changes?</h3>

The given parameters are:

Changes =1 3/4 lb to 1/4 lb

Time = 1/4 hr.

The rate the ice changes is calculated as:

Rate = Change/Time

So, we have

Rate = (1/4 lb - 1 3/4 lb)/(1/4 hr)

Evaluate the difference

Rate = (-1 1/2 lb)/(1/4 hr)

Evaluate the quotient

Rate = -3/8 lb per hr

Hence, the rate at which the ice changes is -3/8 lb per hr

Read more about rates at:

brainly.com/question/19493296

#SPJ1

8 0
1 year ago
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