Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
the answer to 2x+56=
Answer:
It can't be simplified or added together because one is multiplied by x and the other is not
Step-by-step explanation:
Point X is at 2/3 on a number line. On the same number line, point Y is the sane distance for 0 as point X, but has a numerator of 8. What is the Denominator of the fraction on point Y?
Answer:
12
Step-by-step explanation:
What is the median of 8,9,10,1,6,4,7,6
Answer:
The median is 6.5
Step-by-step explanation:
To find the median, first organize the numbers from least to greatest:
1, 4, 6, 6, 7, 8, 9, 10
The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.
To solve for this, we have to find the average of the numbers.
Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).
(6 + 7)/2
13/2
6.5
I need help with this yes or no picking?
Two students in different classes took the same math test. Both students received a
score of 87. In student A's class the mean was 78 and the standard deviation of 5. In
student B's class the mean was 76 with a standard deviation of 4. Which student
scored in the top 10% of their class?
Answer:
Both students scored in the top 10% of their classes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Top 10% = Above the 100 - 10 = 90th percentile.
The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.
So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.
In student A's class the mean was 78 and the standard deviation of 5. He scored 87.
We have that [tex]\mu = 78, \sigma = 5, X = 87[/tex]
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 78}{5}[/tex]
[tex]Z = 1.8[/tex]
1.8 > 1.28, so student A scored in the top 10% of his/her class.
Student B's class the mean was 76 with a standard deviation of 4. Scored 87.
We have that [tex]\mu = 76, \sigma = 4, X = 87[/tex]
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 76}{4}[/tex]
[tex]Z = 2.75[/tex]
2.75 > 1.28, so student B also scored in the top 10% of his/her class.
Both students scored in the top 10% of their classes.
The segments shown below could form a triangle. True B. False
Select the correct comparison.
Set A
Set B
I really need help plsss!!!
Answer:
(a)
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
(b) Rate = 5
(c) Rate = 5
Step-by-step explanation:
Given
The attached graph
Solving (a): The piece-wise function
For the first line
Calculate the slope of the first line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (5,25)[/tex]
So, the slope is:
[tex]m = \frac{25 - 0}{5 - 0}[/tex]
[tex]m = \frac{25}{5}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]
[tex]y = 5(x - 0) + 0[/tex]
[tex]y = 5(x) + 0[/tex]
[tex]y = 5x[/tex]
So, the function of the first line is:
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
For the second line
Calculate the slope of the second line
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (5,20)[/tex]
[tex](x_2,y_2) = (9,40)[/tex]
So, the slope is:
[tex]m = \frac{40 - 20}{9 - 5}[/tex]
[tex]m = \frac{20}{4}[/tex]
[tex]m = 5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]
[tex]y = 5(x - 5) + 20[/tex]
[tex]y = 5x - 25 + 20[/tex]
[tex]y = 5x -5[/tex]
So, the function of the second line is:
[tex]f(x) = 5x -5;\ x>5[/tex]
Hence, the piece-wise function is:
[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]
Solving (b): The rate at which customers that buy up to 5lb buy.
[tex]x = 5[/tex]
This question implies that, we determine the rate at which this customer buys.
For [tex]x = 5[/tex]
[tex]f(x) = 5x;\ 0 < x \le 5[/tex]
The slope of the above function is 5.
So, this customer buys at the rate of $5 per lb
Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.
For [tex]x > 5[/tex]
[tex]f(x) = 5x -5;\ x>5[/tex]
Assume x = 6
[tex]f(6) = 5 * 6 - 5[/tex]
[tex]f(6) = 30 - 5[/tex]
[tex]f(6) = 25[/tex]
Express as 20 + 5
[tex]f(6) = 20 + 5 * 1[/tex]
Assume x = 7
[tex]f(7) = 5 * 7 - 5[/tex]
[tex]f(7) = 35 - 5[/tex]
[tex]f(7) = 30[/tex]
[tex]f(7) = 20 + 10[/tex]
Express 10 as 5 * 2
[tex]f(7) = 20 + 5 * 2[/tex]
So, we have:
[tex]f(6) = 20 + 5 * 1[/tex]
[tex]f(7) = 20 + 5 * 2[/tex]
This can be generalized as:
[tex]f(x) = 20 + 5(x - 5)[/tex]
For the above functions;
20 represents the amount they buy the first 5
5 represents the rate at which they buy extra pounds above 5
Hence, they buy the extra pounds at the rate of $5 per pound
In the figure above, if l ll m and r ll s, what is the value of x?
A) 65
B) 80
C) 85
D) 95
E) 115
Check the photo and please show the steps
Answer:
C x= 85°
Step-by-step explanation:
x+ 60° + 35° =180°
x= 180° - 60° - 35°
x= 85°
can someone explain this for me? i’m a bit confused about it.
Answer:
4050 cubic feet.
Step-by-step explanation:
Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.
Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the base of the pyramid by the height, then divide by 3.
Using the edge length of 15, we can find that the square is 15^2 which equals 225.
Multiply 225 by the height 9,
225*9=2025
Then divide by 3.
2025/3=675.
Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is
3375 +675=4050 cubic feet.
find the value of x
HELP please !
Answer:
116+34+x=180
150+x=180
x=180-150
x=30
A woman sold an article for $1400.00 and made a profit 25%. Find the cost price and the profit
Answer:
$1120 and $280.
Step-by-step explanation:
$1400 = 125%
100% = $1120
The cost of the price was $1120.
$1400 - $1120 = $280.
The profit was $280.
Hope this helps!
What fraction is < 3/4 with a denominator of 8
Answer:
6/8
Step-by-step explanation:
3/4 is equal to 6/8
What is the missing angle
Answer:
50
Step-by-step explanation:
30 + 100 = 130
130 + 50 = 180
all triangles are 180 degrees, so add it up and subtract.
Answer:
50 degrees will be your answer
Step-by-step explanation:
180-(30+100)=50
180 degrees is the whole angle of a triangle. so we subtract the two sides.
5. A football stadium has 81.296
seats. Then the stadium's owner
adds 10.795 seats. What is the
new total number of seats?
Answer:
92.091
Step-by-step explanation:
81+10=91
.296
+
.795
_____
1.091
So: 91+1.095=92.091
The mass of two balls is .80 kg each and they are separated by a distance of 0.25
meters. Calculate the gravitational force between the two balls.
Answer:
[tex]F=6.83\times 10^{-10}\ N[/tex]
Step-by-step explanation:
Given that,
The masses of two balls = 0.8 kg
The distance between masses = 0.25 m
We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]
So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].
C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)
Answer:
I don't know how to do it the subject
Someone please help me answer this!!
Answer:
b = 9cm is the answer.
Step-by-step explanation:
a = 12cm
b = ?
c = 15cm
By using the Pythagoras theorem,
a² + b² = c²
12² + b² = 15²
144 + b² = 225
b² = 225 - 144
b² = 81
b = 9cm.
∴ b = 9cm is the length of the missing leg.
What type of Weathering is important to sand storms on Mars? Physical or Chemical?
Answer:
Physical is the answer
I need some help! I would really appreciate it!
Answer:
answer is A
Step-by-step explanation:
slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig
To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.
Answer: 2 places to the right
Step-by-step explanation:
If i'm wrong sorry hope it helps
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?
Answer:
203 more minutes
We know she swam 154 min in first week.
And in two weeks she swam 357 minutes.
We need to figure out x (total of minutes swam in week two)
So do 357=x+154
Subtract 154 from both sides
x=203
Hope this helps
Josue owns a small business selling bagels. He knows that in the last week 80
customers paid cash, 45 customers used a debit card, and 4 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash as a decimal to the nearest hundredth.
Answer: 0.62
Step-by-step explanation: I got the answer
The probability that the next customer will pay with cash is 0.62
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
in the last week 80 customers paid cash, 45 customers used a debit card, and 4 customers used a credit card.
So, the total number of customers:
⇒ n(S) = 80 + 45 + 4
⇒ n(S) = 129
Let event A: the next customer will pay with cash
n(A) = 80
So, the probability that the next customer will pay with cash would be,
⇒ P(A) = n(A)/n(S)
⇒ P(A) = 80/129
⇒ P(A) = 0.62
Therefore, the probability that the next customer will pay with cash is 0.62
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Jonathan took 33 pictures on the class trip and 67
pictures on field day. He gave 12 pictures to his friends.
He wants to put the remaining photos in a photo album.
Each page in the album can hold 6 pictures. How many
pages is he going to need so that all the remaining
pictures fit in the album?
Answer:
JONATHAN WILL NEED 14 PAGES.
Explanation:
33 + 67 = 100
100 - 12 = 88
88 ÷ 6 = 14.6666667
14.6666667 ⇒ 14
(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)
John, Paul, and Sonia all attend the same school, but are in different grades. John is in the 6th grade, Paul in 7th, and Sonia in 8th. John get homework 65% of the time, Paul get homework 80% of the time, and Sonia get homework 85% of the time. Factoring all three students into the probability, what is the probability that on any given day only John gets homework
Answer:
0.0195 = 1.95% probability that on any given day only John gets homework
Step-by-step explanation:
What is the probability that on any given day only John gets homework?
John has a 65% probability of getting homework.
Paul has a 100 - 80 = 20% probability of not getting homework.
Sonia has a 100 - 85 = 15% probability of not getting homework.
Since these events are independent, the probability is the multiplication.
0.65*0.2*0.15 = 0.0195
0.0195 = 1.95% probability that on any given day only John gets homework
Define a variable, write an equation, and solve:
The length of a rectangle is 4 inches longer than the
width. The area is 60 square inches. What is the width
of the rectangle?
Answer:
6 inches
Step-by-step explanation:
area = l x w
area = 60
6 x 10 = 60
lenght: 10
width: 6
The width is 6 inches.
A recipe for fruit punch uses 4 ounces of fruit mix to
make 6 glasses of punch. How many glasses of this
punch can be made from 26 ounces of fruit mix?
A) 24 B) 32 C) 36
D) 48
Answer:
39 glasses
Step-by-step explanation:
use proportion:
g = # glasses punch
4/6 = g/26
cross-multiply
4g = 26(6)
4g = 156
g = 39
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Find the product of (x + 3)(x − 3).
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
Step-by-step explanation:
[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]
#CMIIWsomeone please help me answer this!!
Answer:
7.8 mi is the answer.
Step-by-step explanation:
a = 6 mi
b = 5 mi
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 5² = c²
36 + 25 = c²
c² = 61
c = 7.810
Round to the nearest tenth,
c = 7.8 mi