What is the simplified value of the expression below? 8 (9.75 minus 3.25) + 12 times 4

Answer:

A) $21,000

Step-by-step explanation:

Percentage of down payment that ABC bank requires to be paid = 20%

Price of the house = $10500

Then

Amount of down payment

that needs to be made = (20/100) * 105000

                                    = 21000 dollars

The answer is A) $21,000

20% is 1/5

1/5 of 105,000 is 21,000

Answer:

$0.49

Step-by-step explanation:

Using the conversion

1 pound = 16 ounces , then

6 pounds = 6 × 16 = 96 ounces, thus

cost of 1 ounce = [tex]\frac{47.04}{96}[/tex] = $0.49

Answer: probability =  0.506

Step-by-step explanation:

The data we have is:

Total people: 205 + 160 + 40 = 405

prefer cats: 205

prefer dogs: 160

neither: 40

The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:

p = 205/405 = 0.506

in percent form, this is 50.6%

Answer:

40 pounds is the correct answer....

Hope this helps.......

Answer:

1, 2.2, 5.5, 10.2.

Step-by-step explanation: these are simplified to the nearest tenth

Answer

(4h/√2)+4h

Explanation:

the side length as a function of h will be needed, so we will compute it first,

Let x be the side length of the right isosceles triangle, then using Pythagorean theorem.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

The element you add is      [tex]b^2 / 4a[/tex]

Step-by-step explanation:

The element you add is      [tex]b^2 / 4a[/tex]

Remember that

[tex]a x^2 + bx +c \\= a ( x^2 +(b/a)x ) + c[/tex]

So, in order to complete the square you add   [tex](b/2a)^2[/tex]

But when you multiply times  [tex]a[/tex]   you get

[tex]b^2 / 4a[/tex]

it can also be explained as D on edg if you still needed the answer :)

Answer:

Length = 29 m

Width = 29 m

Step-by-step explanation:

Let x and y be the length and width of the rectangle, respectively.

The area and perimeter are given by:

[tex]A=xy\\p=116=2x+2y\\y=58-x[/tex]

Rewriting the area as a function of x:

[tex]A(x) = x(58-x)\\A(x) = 58x-x^2[/tex]

The value of x for which the derivate of the area function is zero, is the length that maximizes the area:

[tex]A(x) = 58x-x^2\\\frac{dA}{dx}=0=58-2x\\ x=29\ m[/tex]

The value of y is:

[tex]y = 58-29\\y=29\ m[/tex]

Length = 29 m

Width = 29 m

Answer:

since order of songs matter in a concert as well, every scenario of the 5 songs being played in different order will be a different scenario.

so, we will permute 5 from 9.

9!/4!

15120 different scenarios

Answer:

1.5

Step-by-step explanation:

6 to the log base of 6 will be one (they essentially cancel each other out, log is the opposite of exponents) and we are left with 1.5.

Answer:

A. The mean mileage per gallon is _____ 28.99__

A. The median mileage per gallon is _____27.905_____

B. The mode does not exist.

Step-by-step explanation:

Mean= Sum of values/ No of Values

            Mean =  24.2 + 22.2+  37.8+ 22.7 + 35.4 +31.61/ 6

           Mean = 173.91/6= 28.985 ≅ 28.99

The median is the middle value of an ordered data which divides the data into two equal halves. For an even data the median is  the average of n/2 and n+1/2 value where n is the number of values.

Rearranging the above data

22.2 , 22.7 , 24.2 , 31.61 , 35.4, 37.8

Third and fourth values are =24.2 + 31.61 = 55.81

Average of third and fourth values is = 55.81/2= 27.905

Mode is the values which is occurs repeatedly.

In this data there is no mode.

Answer:

m = rise /run = (y2-y1)/(x2-x1)

Step-by-step explanation:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run.

Answer: Run is the horizontal change between two points on a line.

Step-by-step explanation:

Answer: A positive correlation

Step-by-step explanation:

Correlation tells the relation between two variables.

As we know that the amount of weight you gain depends upon the number of calories you eat.

That means the amount of weight is directly proportional to the number of calories you eat ( if not burn by exercise).

That means there is a positive correlation.

So, the correct answer is " a positive correlation."

Answer:

y =3

Step-by-step explanation:

Slope of zero means it is a horizontal line

Horizontal lines are of the form

y =

The y coordinate is 3 so

y =3

Answer:

485.24 miles per hour

Step-by-step explanation:

The required average speed of the flight is 485.25 miles per hour.

Given that,
Key west, Florida to Seattle, Washington is 3,518 miles. If it takes 7 hours and 15 minutes to fly there, what is the average speed is to be determined?

The average of the values is the ratio of the total sum of values to the number of values.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

Total distance to fly = 3,518 miles
Total time = 7 hours 15 minutes = 7 + 15/60
                                                    = 7.25 hour

Speed = distance / time
           = 3, 518 / 7.25
           = 485.25 miles / hours,

Thus, the required average speed of the flight is 485.25 miles per hour.

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Answer:

2x-11

Step-by-step explanation:

The product of something means multiplication, and since we are only given one number we can use the variable x to represent it. And minus 11 is obviously subtraction, so we can put together the expression 2x-11.

Answer:

Width = 8 cm

Length = 48 cm

Step-by-step explanation:

Area of a Rectangle Formula: A = lw

Step 1: Write out expression:

l = 6w

w = w

Step 2: Plug in known variables

384 = 6w(w)

Step 3: Solve for w

385 = 6w²

w² = 64

w = 8

Step 4: Find l

l = 6(8)

l = 48

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We have two events, A and B.

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which:

[tex]P(A \cup B)[/tex] is the probability of at least one of these events happening.

P(A) is the probability of A happening.

P(B) is the probability of B happening.

[tex]P(A \cap B)[/tex] is the probability of both happening.

In this question:

Event A: Passes the first course.

Event B: Passes the second course.

The probability she passes the first course is 0.7.

This means that [tex]P(A) = 0.7[/tex]

The probability she passes the second course is 0.67.

This means that [tex]P(B) = 0.67[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

What is the probability she passes both courses

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]0.79 = 0.70 + 0.67 - P(A \cap B)[/tex]

[tex]P(A \cap B) = 0.58[/tex]

0.58 = 58% probability she passes both courses

Step-by-step explanation:

a=-7

d=9

n=15

we have to find a15

a(n)= a+(n-1)d

a(15)= -7+(15-1)9

a(15)= -7+126

a(15)=119

so 15 term of the sequence is 119

The 15th term in the given sequence is 119.

The given sequence is −7,2,11,…

Here, a=-7, d=9

The formula to find the nth term of the sequence is [tex]a_{n} =a+(n-1)d[/tex].

Now, [tex]a_{15} =-7+(15-1) \times9=119[/tex].

Therefore, the 15th term in the sequence is 119.

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Answer:

equation is inconclusive

Step-by-step explanation:

you average the two speeds getting 200 mph. then you need to know the time is took to fully complete the race to get the unit rate which you would multiply to find yiur time.

Answer:

B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.

Step-by-step explanation:

We are given that using traditional methods it takes 107 hours to receive an advanced flying license.

A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.

Let [tex]\mu[/tex] = average training time to receive an advanced flying license

So, Null hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 107 hours     {means that the new technique doesn't reduce training time}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 107 hours     {means that the new technique may reduce training time}

Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.

As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.

This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.

Answer:

Monthly: $4,821

Weekly: $1112.54

Step-by-step explanation:

Monthly

A monthly salary can be found by dividing the yearly salary by the number of months.

salary / months

His salary is $57,852 and there are 12 months in a year.

$57,852/ 12 months

Divide

$4,821 / month

Jeremy makes $4,821 per month.

Weekly

To find the weekly salary, divide the yearly salary by the number of weeks.

salary / weeks

He makes $57,852 each year and there are 52 weeks in one year.

$57,852 / 52 weeks

Divide

$1112.53846 / week

Round to the nearest cent. The 8 in the thousandth place tells use to round the 3 up to a 4 in the hundredth place.

$1112.54 / week

Jeremy makes $1112.54 per week

Answer:

y = -1/7x - 23/7

Step-by-step explanation:

Step 1: Find slope m

m = (-4 + 3)/(5 + 2)

m = -1/7

y = -1/7x + b

Step 2: Find b

-3 = -1/7(-2) + b

-3 = 2/7 + b

b = -23/7

Step 3: Rewrite equation

y = -1/7x - 23/7

Answer:

Option D is correct.

The 31% would be considered an example of inferential statistics.

Step-by-step explanation:

Complete Question

Based on past experience, it is predicted that 31% of registered voters in Oklahoma will vote in the next primary. The 31% would be considered an example of:

A) Qualitative data

B) Descriptive statistics

C) A sample

D) Inferential statistics

Solution

Taking the options one at a time.

- Qualitative data is a dataset where the members of the dataset are grouped or represented according to some categorical condition or property. It is also called categorical data. It is normally non-numerical in nature. This is obviously not the correct answer.

- Descriptive Statistics are brief or summary statistics that summarize a given data set. Descriptive statistics are broken down into measures of central tendency and measures of dispersion or variability (the spread of the distribution about the mean). The 31% is a prediction using past datasets, it isn't a descriptive statistic to summarize all that is in the current dataset.

- A sample is a dataset that consists of variables picked from the population distribution. It is a smaller set of variables usually extracted from the population. This is also not the answer.

Inferential Statistics uses results from the past datasets or dataset using some other condition to obtain a predicted statistic for a current dataset or the dataset given current conditions.

From the question, the results from the old dataset (based on past experiences), is used to predict some statistic (percentage of registered voters in Oklahoma who will vote in the next primary). It is evident that this is the answer; 31% prediction for registered voters in Oklahoma will vote in the next primary, was made using past experience. Inferential Statistic.

Hope this Helps!!!

Answer:

  √17

Step-by-step explanation:

The Pythagorean theorem can be used for the purpose.

  hypotenuse² = base² +height²

  (√26)² = 3² +height²

  26 -9 = height²

  height = √17

The length of the other leg is √17.

Answer:

Option D - Will not be rejected at the 0.05 level.

Step-by-step explanation:

The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.

Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.

Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.

Thus, looking at the options, we will not reject at 0.05 significance level.

Answer:  see below

Step-by-step explanation:

To sketch the graph of y = 2x + 4,

notice that this is in Slope-Intercept form of y = mx + b where

m is the slope and b is the y-intercept.

--> m = [tex]\dfrac{2}{1}[/tex]    b = 4

Start on the y-axis and plot 4   (coordinate (0, 4)

From that point, count Up 2 and Right 1 to plot the next point (1, 6)

Draw a line through the points (0.4) and (1, 6).

Step-by-step explanation:

The sample mean is:

(714+751+664+789+818+779+698+836+753+834+693+802) / 12

≈ 760.9

At 0.01 significance level and 11 degrees of freedom, the critical value is t = 3.106.

The standard error is 58.3 / √12 = 16.8.

The confidence interval is:

760.9 ± 3.106 × 16.8

(708.6, 813.2)

678 is outside of the confidence interval, so we can conclude with 99% confidence that the sample does not come from a population with a mean of 678.

To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.

A t-test is a statistical test used to determine if there is a significant difference between the means of two groups.

It is often used when the sample size is small or when the population standard deviation is unknown.

To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.

First, we need to calculate the t-value using the following formula:

t = (x - μ) / (s / sqrt(n))

We are given that x = 678, μ = 678, s = 58.3, and n = 12. Substituting these values into the formula, we get:

t = (678 - 678) / (58.3 / sqrt(12))

t = 0

Next, we need to find the critical t-value using a t-distribution table or calculator with 11 degrees of freedom (df = n - 1) and a 0.01 significance level. The critical t-value is 3.106.

Since the calculated t-value of 0 is less than the critical t-value of 3.106, we fail to reject the null hypothesis that the sample FICO scores come from a population with a mean equal to 678.

Thus, in other words, there is not enough evidence to support the claim that the sample FICO scores have a different mean than the population mean of 678.

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Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

[tex](1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

[tex](5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  [tex]=\dfrac{20}{36}[/tex]

The probability distribution of this event is given as follows.

[tex]\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|[/tex]

First, we determine the expected Value of this event.

Expected Value

[tex]=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67[/tex]

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  [tex]=\dfrac{20}{36}[/tex]

If the game is played 100 times

Number of times expected to win

[tex]=\dfrac{20}{36} \times 100\\=56$ times[/tex]

Therefore, number of times expected to loose

= 100-56

=44 times