The slope of a line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)The point-slope form of a line is:
\(y-y_1=m(x-x_1_{})\)7) The line passes through (0,-2) and (3,2)
Slope:
\(m=\frac{2-(-2)}{3-0}=\frac{4}{3}\)Equation:
y - 2 = 4/3(x - 3)
8) The line passes through (0,5) and (4,3)
Slope:
\(m=\frac{3-5}{4-0}=-\frac{2}{4}=-\frac{1}{2}\)Equation:
y - 3 = -1/2(x - 4)
9) this line is parallel to the y-axis, then it has the form:
x = constant
In this case, the equation is:
x = 1
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Write 0.45 as a fraction.
Answer:
9/20
Step-by-step explanation:
0.45 = 45/100
45/100=9/20 (divide numerator and denominator by 5)
One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)
of any male pitcher at his school, with an ERA of 3.06. Also, Karla had the lowest ERA of any female pitcher at the
school with an ERA of 3.28. For the males, the mean ERA was 5.086 and the standard deviation was 0.998. For
the females, the mean ERA was 4.316 and the standard deviation was 0.558. Find their respective Z-scores.
Which player had the better year relative to their peers, Ron or Karla? (Note: In general, the lower the ERA, the
better the pitcher.)
Answer:
Ron's ERA has a z-score of -2.03.
Karla's ERA has a z-score of -1.86.
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
Step-by-step explanation:
Z-score:
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 question:
Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.
Ron
ERA of 3.06, so \(X = 3.06\)
For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that \(\mu = 5.086, \sigma = 0.998\)
So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{3.06 - 5.086}{0.998}\)
\(Z = -2.03\)
Ron's ERA has a z-score of -2.03.
Karla
ERA of 3.28, so \(X = 3.28\)
For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that \(\mu = 4.316, \sigma = 0.558\)
So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{3.28 - 4.316}{0.558}\)
\(Z = -1.86\)
Karla's ERA has a z-score of -1.86.
Which player had the better year relative to their peers, Ron or Karla?
Due to the lower z-score, Ron had a better yean than Karla relative to their peers.
a) When x = 6, what is the value of 4x?
10
A
12
B
24
С
46
D
None of these
E
m의
b) When x = 6, what is the value of 5x + x?
36
A
56
B.
62
С
566
D
None of these
E
c) When x = 6, what is the value of x??
3
A
6
B
12
С
36
D
None of these
E
Answer:
a-24, b-36, c-36
Step-by-step explanation:
a) 4(6)=24
b) 5(6)+6=36
c) (6)^2=36
Answer:
a) c -24
b) a - 36
c) d - 36
Step-by-step explanation:
a) When x = 6, what is the value of 4x?
4x
4(6) = 24
b) When x = 6, what is the value of 5x + x
5x + x
5(6) + 6
30 + 6
36
c) When x = 6, what is the value of x^2?
x^2
6^2
36
Hope this helps!
What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection
Answer:
(B). 90 degree
Step-by-step explanation:
it's not a or c or D it's only B
what is the volume of the figure below
18x12x13x5 divided by 1/2
Answer: is 28080
Step-by-step explanation:
Which of the following graphs represents the solution to −3x − 3y ≥ 6? The graph shows a solid line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line. The graph shows a solid line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading below the line. The graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading above the line. The graph shows a dashed line, which passes through a point negative 2 comma 0 and a point 0 comma negative 2, with shading below the line.
The graph that represents the solution to the linear inequality −3x − 3y ≥ 6 is given as follows:
The graph shows a solid line, which passes through a point (-2,0) and a point (0,-2), with shading below the line.
The graph is presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The inequality for this problem is given as follows:
−3x − 3y ≥ 6
In slope-intercept format, we have that:
3y ≤ -3x + 6
y ≤ -x - 2.
Hence the intercepts are:
(0,2).(-2,0).Due to the equal sign, the graph is a solid line, and the shading is below the line, as the inequality is the amounts lower than the line.
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What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
He is paid a commission of 9 percent of his first $6,000 in sales during the month and 14 percent on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Answer:
$1,956.80
Step-by-step explanation:
For amounts over $6000, the commission can be computed as ...
0.14s -300 . . . . . . for sales (s) ≥ 6000
So, for $16,120 in sales, the commission is ...
0.14×$16,120 -300 = $2,256.80 -300 = $1,956.80
__
The commission schedule suggests that for larger amounts, you divide the problem into two parts: calculate the commission on $6000, and separately calculate the commission on the amount over $6000.
0.14(s -6000) + 0.09(6000)
= 0.14s - 0.14·6000 +0.09·6000
= 0.14s -300 . . . . the formula used above for s ≥ 6000
Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x=9.9 and x = 8.7 and passes through the point ( 0, 8.5 )
Answer:
ft HD st he do it to we if do ks do just bc
What is the product? [-3 4 2 +5] * [3 -2 1 0]
Answer:
So the answer is the first one
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
ASAP can someone help me with this will mark you brainliest
Answer:
C
Step-by-step explanation:
hope this helps!
Which of the following statements is true?
a. Bonds have more risk than stocks, but offer more return.
b. Stocks have more risk than bonds, but offer more return.
c. Stocks tend to offer a greater risk, while bonds tend to offer a greater return.
d. Bonds tend to offer a greater risk, while bonds tend to offer a greater return. Please select the best answer from the choices provided
A B C D
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!
4x+5/x+7
Answer:
x = 2.4
Step-by-step explanation:
4x + 5 / x + 7
combine like terms
X + 4x = 5x
5 + 7= 12
12/ 5x
Divide
12 /5= 2.4
X= 2.4
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
-5x=-6
what is the value of x?
Answer: x=6/5
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
put equation in conic form
Answer:
I'm happy to help you put an equation in conic form, but you haven't provided an equation to work with. Please provide the equation and I'll do my best to assist you.
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10.
. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer: The height of the water was 2 inches before any water was added.
Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
Please I don’t understand so confused
Option 1: Sample vs. Population
Compare and contrast the terms population and a sample that were reviewed in this unit. How do you decide on which group to use when creating a study or experiment? How can you avoid bias and be sure the study you are executing is accurate?
The best way to decide on which group we should experiment with the population sample is through a random selection.
What are the population and sample?The terms population and sample are often used interchangeably, but there is a subtle difference between the two.Population refers to the entire group of individuals that you want to study. A sample is a subset of the population that you actually study.When creating a study or experiment, you need to decide whether to use a population or a sample. If you want to study a large group of people, it may not be practical to study the entire population. In this case, you would use a sample. However, you need to be careful when selecting a sample, because it is easy to introduce bias.(B) Avoid bias and be sure the study you are executing is accurate:
It is also important to avoid bias when choosing a population or sample for research.The best way to do this is to use a random selection process. This means that every member of the population has an equal chance of being selected for the sample.Therefore, the best way to decide on which group we should experiment with the population sample is through a random selection.
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Graph y less than or equal to 3x
Answer:
See Image Below.
Step-by-step explanation:
The Shaded region is the area of numbers that this equation satisfies.
Answer:
Please see attached image
Step-by-step explanation:
In order to graph the inequality, start from plotting the boundary line defined by the equality;
y = 3 x
You just need two points to accomplish such. so let's use two simple values for x and find what the y-values are:
for x = 0 then y = 3 (0) = 0
for x = 1 then y = 3 (1) = 3
Then use the points (0, 0) and (1, 3) to plot the boundary line.
After this, grab any point on the plane either clearly above the boundary line, or clearly below it and check if the inequality satisfies. For example, you can pick the point (3, 0) which is on the x line, 3 units to the right of the origin, and clearly below the boundary line we just plot.
When you use it in the inequality, you get:
(0) \(\leq\) 3 (3)
0 \(\leq\) 9
which is a true statement, therefore, the points below the boundary lie are also solutions of the inequality.
Then the solution consists of all the points in the boundary line we just plotted (and indicated by drawing a solid line), plus all the points below the line, as depicted in the attached image.
Based on these boxplots, which of the following is true ? (5 points) The median rating for website B is greater than for website A. The interquartile range for website A is greater than for website B. The ranges for the two websites are the same, The median ratings for the two websites are the same .
Answer:
A
Step-by-step explanation:
because it's right and you'll get it right so it is a
Need help with some questions
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Answer:
Step-by-step explanation:
Thanks I will go there soon
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
�
=
�
(
1
+
�
�
)
�
�
A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
�
12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
)
108
Divide by 11000
1.8181818
=
1.8181818=
(
1
+
�
12
)
108
(1+
12
r
)
108
(
1.8181818
)
1
/
108
=
(1.8181818)
1/108
=
[
(
1
+
�
12
)
108
]
1
/
108
[(1+
12
r
)
108
]
1/108
Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
+
�
12
1+
12
r
−
1
−1=
−
1
−1
Subtract 1
0.0055509
=
0.0055509=
�
12
12
r
12
(
0.0055509
)
=
12(0.0055509)=
(
�
12
)
12
(
12
r
)12
Multiply by 12
0.0666108
=
0.0666108=
�
r
6.66108
%
=
6.66108%=
�
r
Convert to percent (multiply by 100)
�
≈
r≈
6.66
%
6.66%
Round to the nearest hundredth of a percent
A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal place
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:
\(H_0: \mu \leq 0.7\)
At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:
\(H_1: \mu > 0.7\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that \(\mu = 0.7\)
A survey of 35 people was conducted to compare their self-reported height to their actual height.
This means that \(n = 35\)
From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that \(X = 0.95, s = 0.44\)
Calculate the test statistic
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}\)
\(t = 3.36\)
The test statistic is t = 3.36.
Find the value of x.
110
(4x +90)°
x = [?1°
x=5
steps
they are vertical angles
they are equal
4x+90=110
4x=20
x=5
Answer:
Step-by-step explanation:
9900
A car rental agency advertised renting a car for $ 26.95 per day and $ 0.33 per mile. if brad rents this car for 4 days, how many whole miles can he drive on a $ 200 budget?
Answer: 7
Step-by-step explanation: (26.95 + 0.33) x 7 = 190.96