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2 years ago

At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance?

Mathematics

2 answers:

stepan [7]2 years ago

8 0

Answer:

The correct option is A.

Step-by-step explanation:

It is given that Kendra has a debt greater than $25.00.

Debt represent the negative balance. It means his balance must be less that -$25.00.

From the options it is clear that

-$32.00 < -$25.00

-$32.00 is less that -$25.00. Therefore option A is correct.

-$22.00 > -$25.00

-$19.00 > -$25.00

-$11.00 > -$25.00

-$22.00, -$19.00, -$11.00 is greater than -$25.00. Therefore options B, C and D are incorrect.

Murljashka [212]2 years ago

4 0

A. -$32.00
It's greater than -$25.00.

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(n) ________ is a variable that affects both variables of interest and may falsely give the impression of a cause-and-effect rel

gtnhenbr [62]

Answer: CONFOUNDING VARIABLES

Step-by-step explanation: Confounding variables are

unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.

4 0

2 years ago

A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Qua

amid [387]

Answer:

There is a 99.24% probability that Claude's sample has a mean between 119.985 and 120.0125 inches.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch. This means that $\mu = 120, \sigma = 0.05$ .

Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. This means that $n = 100, s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{100}} = 0.005$ .

The probability that Claude's sample has a mean between 119.985 and 120.0125 inches is

We are working with the sample mean, so we use the standard deviation of the sample, that is, $s$ instead of $\sigma$ in the z score formula.

This probability is the pvalue of Z when $X = 120.0125$ subtracted by the pvalue of Z when $X = 119.985$ .

X = 120.0125

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{120.0125 - 120}{0.005}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938.

X = 119.985

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{119.985 - 120}{0.005}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0014.

So there is a 0.9938 - 0.0014 = 0.9924 = 99.24% probability that Claude's sample has a mean between 119.985 and 120.0125 inches.

7 0

2 years ago

An investor is interested in purchasing an apartment building containing six apartments. The current owner provides the followin

Vsevolod [243]

Answer:

b) 2.7632

Step-by-step explanation:

To find the mean, we multiply each value by it's probability. So

$E = 0\frac{5}{38} + 1\frac{9}{38} + 2\frac{7}{38} + 3\frac{4}{38} + 4\frac{3}{38} + 5\frac{2}{38} + 6\frac{8}{38} = \frac{1*9 + 2*7 + 3*4 + 4*3 + 5*2 + 6*8}{38} = 2.7632$

So the correct answer is:

b) 2.7632

4 0

1 year ago

Read 2 more answers

There are four steps for converting the equation x2 + y2 + 12x + 2y – 1 = 0 into standard form by completing the square. complet

goblinko [34]

Let's first write each step of the procedure:
Step 1:
group the x terms together and the terms and together, and move the constant term to the other side of the equation:
x² + 12x + y² + 2y = 1
Step 2:
determine (b ÷ 2) 2 for the x and y terms.
(12 ÷ 2) 2 = 36
and
(2 ÷ 2) 2 = 1
Step 3:
add the values to both sides of the equation.
x2 + 12x + 36 + y2 + 2y + 1 = 1 + 36 + 1
Step 4:
write each trinomial to binomial squared, and simplify the right side.
(x + 6) 2 + (y + 1) 2 = 38
Answer:
the last step is:
(x + 6) 2 + (y + 1) 2 = 38

3 0

1 year ago

good job on increasing our team sales from 90 to 130 units per day.” wow i never thought that we could increase our sales by

artcher [175]

The sales was increased by 44.4%.

Step-by-step explanation:

Lets do this cumulative
90 of 10 % = 9 which is 99
90 of 10 % = 9 which is 108
90 of 10% = 9 which is 117
90 of 10% = 9 which is 126
90 of 4 % = 3.6 which is 129.6
90 of 0.044% = 0.0396 which is 129.99
This comes to nearly 44.44 to be closer there was an increase.
Always rule 1 approximation use 50% of 90 if it is above 130.
Down it to 40% of 90 see if the sales is lower than 130.
It should always start with 50,40,30....10 percents.
Alternative should be 10,1 or decimals.
Approximation using decimals rounding up becomes simple.

7 0

1 year ago