The answer is 91
Step-by-step explanation:
Average Marks = (Total Marks) ÷ Total Tests
83 = (71 + 70 + 87 + 97 + 82 + x) ÷ 6
83 × 6 = 407 + x
498 = 407 + x
x = 498 - 407
x = 91
4. If a set of data is normally distributed with a mean of 40 and standard
deviation of nine. Determine the percent of the data that is between 36 and 41.
9.18%
18.81%
21.38%
54.38%
Answer:
18.81
Step-by-step explanation:
what is the midpoint of the segment shown below?  a. (–7, 3)  b. (–, 3)  c. (–7, )  d. (–, )
The correct option is a) (-7, 3) which is the midpoint of the segment.
To find the midpoint of a segment, we need to use the midpoint formula:
Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )
The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.
It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.
Using the coordinates given in the diagram, we can substitute them into the formula:
Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )
Midpoint = ( (-4)/2 , 6/2 )
Midpoint = ( -2 , 3 )
However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.
To know more about segment refer here:
https://brainly.com/question/17410964#
#SPJ11
A bus uses 2.5 L of diesel for every 8 km. How many liters of diesel would a bus use on a trip of 275
km?
Use cross multiplication to come up with the answer.
\( \frac{2.5}{8} = \frac{x}{275} \)
Answer:
Udbdubsh848488483837376383938838737387484.
Step-by-step explanation:
Udnhduneurueooeiruurur
use the figure to the find the measures of the numbered angles
Answer:
sdcce
Step-by-step explanation:
Answer: h answer is A
Step-by-step explanation:
A circle has a circumference of approximately 113.04
inches.
What is the diameter of the circle?
Use the approximation of 3.14
for π
in your calculations.
12 in.
36 in.
18 in.
6 in.
Answer:
36in
Step-by-step explanation:
P=2×3,14×r
113.04=2×3.14×r
r=18in
d=2×r
=2×18in=36in
PLS HELLLLP!!!!!!!! I need 10 people to answer within the next 20 minutes what their favorite shoe brand. It is for an Algebra Project due Monday.
Answer:
Keen
Step-by-step explanation:
Favorite shoe brand = Keen
Answer:
Nike
Step-by-step explanation:
Nike shoes are great and comfy
What answer it is . Will mark brainliest
London answered 20 questions correctly on her multiple choice history final that had a total of 80 problems. What percentage of questions did London answer correctly on the final exam?
Answer:
25%
Step-by-step explanation:
correct/total
20/80
1/4
Changing to a decimal
.25
.25*100%
25%
Answer:
1/4 or 25%
Step-by-step explanation:
1). 20 / 80 = 1 / 4 = 25 %
Hope this helps
Find the slope on this line (2,2) (3,3)
Answer:
the answer is d.
Step-by-step explanation:
it goes up 4 and over 5
Does the following relationship represent a function?
A. Yes
B. No
Explain how two samples can have the same mean but different standard deviations. Draw a bar graph that shows the two samples, their means, and standard deviations as error bars.
Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.
Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.
Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.
To know more about values visit:
https://brainly.com/question/30145972
#SPJ11
9. Rich is a number of a gym. He pays a monthly fee plus a per-visit fee. The equation
below represents the monthly amount Rich pays for his membership to the gym per
month for x visits.
y = 3x + 10
What does the y-intercept of the graph of this equation represent?
Answer: it is the monthly fee
Step-by-step explanation: In y=3x+10 the y is the total amount he payed per month. The 3x is saying he payed $3 per visit (x) and slope, and the 10 is the monthly fee and y- int. He payed $10 at the start of each month.
The y-intercept of the graph is 10, which represents the monthly fee that Rich pays to the gym regardless of the number of visits.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The given equation is, y = 3x + 10
This is in the form of a linear equation, where y represents the total cost per month and x represents the number of visits. The coefficient of x is 3, which represents the per-visit fee that Rich pays. The constant term is 10, which represents the monthly fee that Rich pays regardless of the number of visits.
The y-intercept of the graph of this equation is the value of y when x is equal to 0. Substituting x = 0 into the equation, we get,
y = 3(0) + 10
y = 10
Therefore, the y-intercept of the graph is 10, which represents the monthly fee that Rich pays to the gym regardless of the number of visits.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ6
Based on the 2017 American Community Survey, the proportion of the California population aged 15 years old or older who are married is p = 0.482. Suppose n = 1000 persons are to be sampled from this population and the sample proportion of married persons (p) is to be calculated. What is the probability that more than 50% of the people in the sample are married? Round your answer to three decimal places.
Therefore, the probability that more than 50% of the people in the sample are married is approximately 0.115 (rounded to three decimal places).
To solve this problem, we can use the normal approximation to the binomial distribution since the sample size is large (n = 1000) and the proportion of married persons (p) is not too close to 0 or 1.
The mean of the sample proportion can be calculated as:
μ = p = 0.482
The standard deviation of the sample proportion can be calculated as:
σ = sqrt((p * (1 - p)) / n) = sqrt((0.482 * (1 - 0.482)) / 1000) ≈ 0.015
To find the probability that more than 50% of the people in the sample are married, we need to calculate the z-score and find the area under the normal curve to the right of this z-score.
The z-score can be calculated as:
z = (x - μ) / σ = (0.5 - 0.482) / 0.015 ≈ 1.200
Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1.200 is approximately 0.1151.
To know more about probability,
https://brainly.com/question/28953825
#SPJ11
AHHH Please help me!.
Answer:
30 degrees
hope it helps
A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot.
A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 4 has one dot, the value of 4.5 has two dots, the value of 5 has two dots, the value of 6 has one dot, the value of 6.5 has two dots, the value of 7 has one dot, and the value of 8 has one dot. The image is titled Ballet Shoe Sizes.
What is the range, and what does it mean in terms of this data set?
The range is 4.5, and it means that the data varies by a value of 4.5.
The range is 3.5, and it means that it is the value that occurs the most.
The range is 4.0, and it means that the data varies by a value of 4.0.
The range is 4.0, and it means that it is the value that is the smallest.
As a result, the answer to the following question, This implies that the ballet shoe range in the class vary significantly, with some students having significantly bigger or smaller feet than others.
What is range?The variable's range is calculated by taking its greatest observed value and subtracting its minimum observed value (minimum). Possible range or variational bounds: a variety of steel costs; a variety of styles; The scope or size of a method or action: perception. The maximum or anticipated range of a weapon's projectile. A list or set's range is the number between the lowest and maximum. Align all of the numbers before determining the region. Next, subtract (reduce) the lowest number from the greatest number. The solution includes the range of the list. The solution specifies the range of the list.
The range is 4.5, which implies that the difference between the data set's biggest and lowest values is 4.5. The range is 8 - 3.5 = 4.5 since the biggest number is 8 and the smallest value is 3.5. This implies that the ballet shoe sizes in the class vary significantly, with some students having significantly bigger or smaller feet than others.
To know more about range visit:
https://brainly.com/question/28135761
#SPJ1
Refer to your Expeditions in Reading book for a complete version of this text.
Which detail from “The Gold Coin” best supports the inference that Juan is beginning to enjoy reconnecting with people?
The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.
How does this detail support the inference ?Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.
This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.
Find out more on inference support at https://brainly.com/question/29341318
#SPJ1
Solve for k. You may either explain each step of the process in the box below or attach a photo that shows your work in solving it.
4k + 13 = 3k + 5
it equals -8.
4k + 13 = 3k + 5
4k + 13 - 13 = 3k + 5 - 13
4k = 3k - 8
4 k − 3 k = 3k - 8 - 3k
k = -8
In circle T with m/STU = 68 and ST = 13 units, find the length of arc
SU. Round to the nearest hundredth.
S
T
U
The value of the length of the arc is 14.23 units
What is length of an arc?The length of an arc is the distance that runs through the curved line of the circle making up the arc .
Length of an arc is expressed as;
l =( tetha)/360 × 2πr
where tetha is the angle between the two radii and r is the radius.
tetha = 68°
radius = 13
therefore ;
l = 68/360 × 2 × 3.14 × 13
l = 5124.48/360
l = 14.23 units
therefore the value of the arc length is 14.23 units
learn more about length of an arc from
https://brainly.com/question/29860198
#SPJ1
Answer:
15.43
Step-by-step explanation:
Given two points on a line, explain how you can use point-slope
form to write an equation of the line.
To find the point slope of a line you must first know the slope of the two points. You would substitute the points into the slope formula y2-y1/x2-x1.
Then you would put the slope into the point slope formula:
y-y1=m(x-x1)
"m" is the slope of the formula.
Hope this helped.
9-x^2 y = Given x = 4
Answer:
9-16y
Step-by-step explanation:
9-x^2y when x=4
plus in 4: 9- (4)^2y
=9-16y
solve using the quadratic formula
what is the absolute value -4.5
Answer:
the absolute value of -4.5 is 4.5
Step-by-step explanation:
The absolute value of a number means the distance from 0.
SO if you have -4.5, positive 4.5 is the distance from 0.
-4.5+4.5= 0
Hence that is the reason the absolute value of -4.5 is 4.5
Hope this helps!
find a formula for the nth term of the sequence where a subscript n is calculated directly from the value of n. 6/1,8/2,10/6
The formula for the nth term of the sequence is: a_n = (2n + 4) / (2^(n-1))
To generate a formula for the nth term of the sequence, let's examine the pattern in the provided terms:
Term 1: 6/1
Term 2: 8/2
Term 3: 10/6
From the provided terms, we can observe that the numerator of each term is increasing by 2, and the denominator is increasing by a factor of 2 for each term.
We can express the numerator of the nth term as 6 + (n - 1) * 2, which simplifies to 6 + 2n - 2 = 2n + 4.
For the denominator, we can express it as 1 * 2^(n-1), which simplifies to 2^(n-1).
Therefore, the formula is:
a_n = (2n + 4) / (2^(n-1))
This formula will give you the value of the nth term based on the value of n.
To know more about sequence refer here:
https://brainly.com/question/30262438#
#SPJ11
How many square units are in a feet?
According to different units 1 sqaure foot value will be change like
1 square foot (ft²) = 0.09290304 square meters (m²)
What is square foot let's understand?
The square foot is an area measurement unit that is used in both the United States and the United Kingdom. It is also used in Bangladesh, India, Nepal, Pakistan, Ghana, Liberia, Malaysia, Myanmar, Singapore, and Hong Kong to a lesser extent. It is described as the surface of a square with 1-foot sides.
1 square foot (ft²) = 0.09290304 square meters (m²)
1 square foot (ft²) = 144.0000002229 square inches (in²)
1 square foot (ft²) = 0.111111106982 square yards (yd²)
To know more about square feet here:
https://brainly.com/question/18701774
#SPJ4
Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9
Answer:
x≥ -5
Step-by-step explanation:
here is the 5th one to do.
Answer:
a is not equivalent to b and c.
Step-by-step explanation:
a.
\(50( {2}^{x + 2} ) = 25 \times 2( {2}^{x + 2} ) = 25( {2}^{x + 3} )\)
b.
\(25( {2}^{2x + 1} ) \)
c.
\(50( {4}^{x} ) = 50( { {2}^{x} )}^{2} = 50( {2}^{2x} ) = 25 \times 2( {2}^{2x} ) = 25( {2}^{2x + 1} )\)
6. Monthly Mortgage payments can be found using the formula Below:
M-PG2)(1+1)"
(1+12"-1
M = monthly payment
P = amount borrowed
r=annual interest rate
n = number of monthly payments
The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment
was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.
Answer: your equation is poorly written/wrong hence I used the equation below
answer : $289156.63
Step-by-step explanation:
applying the formula to calculate monthly repayment of Mortgage
M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ] ----- ( 1 )
M = Total monthly payment = 800 * 12 * 30 = $ 288,000
P = ?
r = 5.2% / 12 = 0.4%
n = 30 * 12 = 360 months
Back to equation 1
P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]
= 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]
= 288,000 / -0.996 = - $289156.63 ( It has a negative value because It is a loan borrowed )
two banks in the area offer 20-year, $210,000 mortgages at 4.4 percent and charge a $3,100 loan application fee. however, the application fee charged by insecurity bank and trust is refundable if the loan application is denied, whereas that charged by i. m. greedy and sons mortgage bank is not. the current disclosure law requires that any fees that will be refunded if the applicant is rejected be included in calculating the apr, but this is not required with nonrefundable fees (presumably because refundable fees are part of the loan rather than a fee).
Borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.
In the given scenario, there are two banks offering 20-year, $210,000 mortgages at 4.4 percent interest. The banks charge a $3,100 loan application fee. However, there is a difference between the banks regarding the refundability of the application fee.
Insecurity Bank and Trust: This bank charges a $3,100 loan application fee, which is refundable if the loan application is denied. In this case, the fee is considered part of the loan rather than a separate fee.
I. M. Greedy and Sons Mortgage Bank: This bank also charges a $3,100 loan application fee, but it is nonrefundable, meaning it will not be returned if the loan application is rejected.
The disclosure law requires that any fees that will be refunded if the applicant is rejected must be included in calculating the Annual Percentage Rate (APR). This is because these fees are considered part of the loan amount and have an impact on the overall cost of borrowing.
On the other hand, nonrefundable fees like the one charged by I. M. Greedy and Sons Mortgage Bank are not required to be included in the APR calculation. This is because these fees are treated as separate costs that are not directly part of the loan.
When comparing mortgage offers and determining the true cost of borrowing, it is important to consider not only the interest rate but also any associated fees. By including refundable fees in the APR calculation, borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.
To know more about loan visit:
https://brainly.com/question/30015539
#SPJ11
aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?
Answer:
answer 215 nickels
Step-by-step explanation:
How do you write an equation of a line so that it is parallel or perpendicular to a given point? Explain both
Answer:
to find parallel;
first of all, parallel equations should have the same slope and a different y-intercept!
when were given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
However, to find the slope of the perpendicular equation, you need to get the negative reciprocal of the slope!
For example, if the slope is 3 in the original equation, it would be - 1/3 in perpendicular equation.
We then substitute the given point for (x,y)!
hope this helps :)
Leave a comment if you need further explanation
Step-by-step explanation: