What expression shows 50 + 30 written as a product of 2 factors?
(A)5(10+ 7)
(B)5(10+ 3)
(C)10(5+ 2
(D)10(5+ 3)

The given scatter plot doesn't shows any association because the points are too dispersed.

Answer:

In 2x*3y, you must multiply each term together. 2*3=6 and x*y=xy. So, 2x*3y=6xy.

Part A

(20)(35)+(15)(15)-125

Part B

Multiply the sale price of each item by the number of items, and subtract the cost.

Part C

\((20)(35)+(15)(15)-125 \\ \\ =700+225-125 \\ \\ =700+100 \\ \\ =800\)

A) The profit he made from the sales is expressed as; 20(35) + 15(15) - 125

B) The way I know the expression in A above is correct is because the formula for profit is; Profit = Selling Price - Cost Price

C) Profit = $350

We are told that;

Selling price of each keyboard = $35

Selling price of each charger = $15

A) Now, we are told that he bought 20 keyboards and 15 chargers for a total of $125. Thus;

The profit he made from the sales is;

20(35) + 15(15) - 125

B) The way I know the expression in A above is correct is because the formula for profit is;

Profit = Selling Price - Cost Price

C) The profit made is;

20(35) + 15(15) - 125 = 700 - 225 - 125 = $350

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Answer:

5/6

Step-by-step explanation:

x > 1

x = 2,3,4,5,6

( quantity of 2,3,4,5,6)/(total)

5/6

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.

The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.

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Answer:

the correct option is D

Step-by-step explanation:

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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        In mathematics, there are two main types of numbers namely real numbers and complex numbers. Real numbers are grouped into two main groups known as rational numbers  and irrational numbers.

-⅝ is a rational number and a real number; Options B & D are correct.

-⅝ is expressed in form of 2 integers. Thus, it is not Irrational.

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

A. 7

Step-by-step explanation:

It's just the coefficient of x

Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.

The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:

To calculate the sum of the probabilities, we simply add up all of the given probabilities:

0.40 + 0.92 + 0.29 + 0.55 = 2.16

In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.

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The circumference is given by:

Now we know the radius of the circle we can find the area as follows:

The statement on how confidence intervals are more useful that p - values for making clinical decisions is True.

While p-values provide a measure of the strength of evidence against the null hypothesis, they do not provide information on the magnitude or direction of the effect. In contrast, confidence interval estimates provide a range of plausible values for the effect size, which can help clinicians make more informed decisions about treatment or diagnosis.

The confidence interval can also help identify whether the effect size is clinically significant or not. Therefore, confidence interval estimates are generally considered to be more useful than p-values in making clinical decisions.

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Answer: C) 165

Step-by-step explanation:

\(\displaystyle\\C_{11}^3=\\\\\frac{11!}{(11-3)!3!} =\\\\\\\frac{8!*9*10*11}{8!*1*2*3} =\\\\\\\frac{9*10*11}{2*3} =\\\\3*5*11=\\\\15*11=\\\\165\)

she will be able to knit 13 scarfs

Given ,

To Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn

2.34 yards of yarn = 1 scarf

30.42 yards of yarn = \(\frac{30.42}{2.34}\)

                                 = 13 scarfs

Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13

Answer:

754.93 in total with an increase of 4.93

Step-by-step explanation:

Answer:

First option: (x+9)^2=81

Step-by-step explanation:

It has the same solution

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

When the expression 6y - 7, is evaluated with y = 3 and y = -3, then the values are not same. Thus option 2: False is correct.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - 6y - 7

Firstly substitute the value of y = 3 in the expression -

6y - 7

Use the arithmetic operation of multiplication -

6(3) - 7

Use the arithmetic operation of subtraction -

18 - 7

11

Now, substitute the value of y = -3 in the expression -

6y - 7

Use the arithmetic operation of multiplication -

6(-3) - 7

Use the arithmetic operation of subtraction -

-18 - 7

-25

Therefore, the values are not same for y = 3 and  y = -3.

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The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.

The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.

In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.

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The options for this question include:

Answer:

 Table B -

Step-by-step explanation:

You want to know which of the four offered tables represents a linear function.

A linear function will have differences in y that have the same ratio to differences in x for all pairs of values in the table.

Table A has x-differences that are 1 between adjacent terms. The y-differences are negative for the first pair of table values, but positive for the last pair (2 -5 vs 5 -2).

Table B has x-differences that are 1 between adjacent terms. The y-differences are -2 between any pair of adjacent terms, so their ratio to x-differences is -2/1 = -2, a constant. Table B represents a linear function.

Table C has x-differences that change from 0 to -3 to +3 while y-differences are constant at +1. The ratios of differences are not constant.

Table D has x-differences of +1, and y-differences that alternate in sign and magnitude.

Only Table B represents a linear function.

<95141404393>

Answer:\(x\geq 3.2\) and \(x < -0.75\)

Step-by-step explanation

\(5x-4\geq 12\)

First you would add 4 to each side.

\(5x\geq 16\)

Then divide each side by 5.

\(x\geq 3.2\)

Next one,

\(12x+5 < -4\)

First you would subtract 5 from both sides.

\(12x < -9\)

Then divide both sides by 12.

\(x < -0.75\)

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

SOLUTION

The divison is:

The quotient is:

Notice that there is no remainder

Hence the answer is:

Answer:

-5,1

Step-by-step explanation:

hope that helps

:))))))

(a) The value of test statistic is 2

(b) Based on the critical value approach since 2.00 > 1.645, we reject the null hypothesis.

(c) Based on the P-value approach since 0.0228 < 0.05, we reject the null hypothesis.

Test: \($\mu > 8000$\) with normal distribution

Hypothesis test:

\(& H_0: \mu \leq 8000 \\\)         (Null Hypothesis)

\(& H_a: \mu > 8000\)         (Alternate Hypothesis, also called \($H_1$\) )

This is an upper-tailed test.

\(& \bar{x}\) = 8300

\(& \sigma\) = 1200

n = 64

Significance Level, \($\alpha\) = 0.05

(a) Test statistic \($z^{\star}=\frac{\bar{x}-\mu}{\sigma / \sqrt{n}}$\)

\($z^{\star}=\frac{8300-8000}{1200 / \sqrt{64}}\)

= 2.00

(b) The Critical Value \(=z_{\text {crit }}=z_\alpha=z_{0.05}\) = 1.645 (From z table, using interpolation, \((\frac{1}{2} )^{th}\) the distance between 1.64 and 1.65

Rejection Rule: Reject \($H_0$\) if \($z^{\star} > z_c$\) (because this is upper tailed test)

Decision: Since 2.00 > 1.645, we reject the null hypothesis.

(c) P-value Approach

P-value is in direction of the alternate hypothesis.

Since \($H_a: \mu >\) 8000, P-value = P(Z > 2.00) =  Area to the right of 2.00

Graph attached at the end of solution.

P - value = P(Z > 2.00) = 0.0228 (from z-table)

Rejection Rule: Reject \($H_0$\) if P- value \($ < \alpha$\)

Decision: Since 0.0228 < 0.05, we reject the null hypothesis.

Note that the exact p-value for the above test is:

0.0227501319

Rejection Region Approach

Hence at a 5 % significance level, from either approach, we have sufficient evidence to conclude that t the advertising campaigns have been effective in increasing sales.

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the square root of 598 is 24.4540385