Answer:
Brian's z-score is 2.4
Step-by-step explanation:
The equation for z score is presented as follows;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
x = Score = 80%
μ = Mean = 68%
σ = Standard deviation = 5%
Plugging in the values gives;
[tex]z = \frac{80- 68}{5} =2.4[/tex]
Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.
Final answer:
Brian's z-score is 2.4, calculated using the formula Z = (X - \) / \ by substituting X with Brian's score, \ with the mean score, and \ with the standard deviation. A z-score of 2.4 means Brian scored well above average.
Explanation:
Brian scored an 80% on a Chemistry Exam, where the average was 68%, with a standard deviation of 5%. To find Brian's z-score, use the formula:
Z = (X - \) / \
Where X is Brian's score, \ is the mean score, and \ is the standard deviation. Plug in the values:
Z = (80 - 68) / 5 = 12 / 5
Brian's z-score is 2.4, which means his score is 2.4 standard deviations above the mean. A z-score tells how many standard deviations an element is from the mean. If it's positive, the score is above average; if negative, below average.
Carol has had a $145,000 fixed-rate mortgage for 5 years at 6.25% and is
considering refinancing. She can now get an 80/20 mortgage with 4.5% and
9.5% interest, respectively. Based only on this information, should she
refinance?
A. No; she has too much equity built up in the house.
B. No; the two blended interest rates are the same.
C. No; the new blended interest rate is higher than the old interest
rate.
D. Yes; the new blended interest rate is lower than the old blended
interest rate.
Carol should refinance is D. Yes; the new blended interest rate is lower than the old interest rate.
First, let's understand the 80/20 mortgage breakdown:
80% of the mortgage at 4.5% interest20% of the mortgage at 9.5% interestNext, we calculate the blended interest rate for the new mortgage:
[tex]\text{Blended Rate} = (0.80 \times 4.5\%) + (0.20 \times 9.5\%)[/tex]
a. Calculate each part:
[tex]0.80 \times 4.5\% = 3.6\%[/tex][tex]0.20 \times 9.5\% = 1.9\%[/tex]b. Add these results to get the blended rate:
[tex]3.6\% + 1.9\% = 5.5\%[/tex]
So, the blended interest rate for the new mortgage is 5.5%.
Now, compare this with Carol's current fixed-rate mortgage interest rate of 6.25%:
Current interest rate: 6.25%New blended interest rate: 5.5%The new blended interest rate (5.5%) is lower than the old interest rate (6.25%). Therefore, based on the interest rates alone, Carol should refinance.
1) 2(x - 5) + 7 = x + 8
what is x
2) 5(x - 1) - 6x = -11x
what is x
Answer:
x = 11
1/2 =x
Step-by-step explanation:
1) 2(x - 5) + 7 = x + 8
Distribute
2x-10+7 = x+8
Combine like terms
2x -3 = x+8
Subtract x from each side
2x-x-3 = x+8-8
x -3 = 8
Add 3 to each side
x-3+3 = 8+3
x = 11
2) 5(x - 1) - 6x = -11x
Distribute
5x-5-6x = -11x
Combine like terms
-x-5 = -11
Add x to each side
-x+x -5 = -11x +x
-5 = -10x
Divide each side by -10
-5/-10 = -10x/-10
1/2 =x
Answer:
1) x = 11
2) x = ½
Step-by-step explanation:
1) 2(x - 5) + 7 = x + 8
2x - 10 + 7 = x + 8
2x - 3 = x + 8
x = 11
2) 5(x - 1) - 6x = -11x
5x - 5 - 6x = -11x
-5 - x = -11x
10x = 5
x = ½
Choose the function that is graped below. Choose 1 answer
A:y=5*5^x
B:y=10^x
C:y=5*2^x
Answer:
c) y=5(2^x)
Step-by-step explanation:
the other ones dont line up
876.64 in word form.
Step-by-step explanation:
876.64 in word form would be eight hundred seventy six point sixty four
Answer:
eight hundred and seventy six and sixty four hundredths.
How to get the answer:
To get the answer you would first start with the digits on the left. Then you would need to look at what place that digit is and what that corresponds to. For example the number 10, so you would first look at the number 1, the number is 2 places to the left of the decimal point and so would be in the tens column, this tells you that the first word would be ten and if there is a 0 then you would skip that word.
ASAP ASAP ASAP asap help me
Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
Answer:
16
Step-by-step explanation:
Use the slanted height of 20ft
A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights. The flashlights are identical in size and shape. If one flashlight is chosen at random, what is the probability that the flashlight will be either blue or black?
The probability that the flashlight will be either blue or black is,
⇒ 20/30
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights.
Hence, Total number of flashlights are,
⇒ 18 + 3 + 7 + 2
⇒ 30
So, the probability that the flashlight will be blue is,
⇒ 18 / 30
And, the probability that the flashlight will be black is,
⇒ 2 / 30
Hence, the probability that the flashlight will be either blue or black is,
⇒ 18/30 + 2/30
⇒ 20/30
Learn more about the probability visit:
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The probability of flashlight to be black or blue is 2/3. To find the probability of selecting a blue or black flashlight from a box, add the number of blue and black flashlights, then divide by the total number of flashlights.
We first find the total number of blue and black flashlights, which is 18 (blue) + 2 (black) = 20.
Then, we divide this by the total number of flashlights in the box (18 + 3 + 7 + 2 = 30) to get the probability.
The probability of choosing a blue or black flashlight is 20/30 = 2/3 = 0.67.
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.
a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided
Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Use formula for Z-score: Z = (X -u)/s
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
Please help as soon as possible.
Answer: 618400 and 10 to the power of 5 has 5 zeros.
What is the distance between (-1,3) and (3,5)
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?
x Greater-than-or-equal-to 2236
x Greater-than-or-equal-to 7764
x Less-than-or-equal-to 2236
x Less-than-or-equal-to 7764
Answer:
Its A
Step-by-step explanation:
Got it right on EDGE 2021 :D
Answer: A
Step-by-step explanation:
hope this helps and here is proof
6+2x ² in standard form
Answer:
2x^(2)+x-6
Step-by-step explanation:
Solve the system by the substitution 2x-5y=-6 y=3x-4
Answer:(2,2)
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
27/12
Step-by-step explanation:
Answer:
27/12
Step-by-step explanation:
Identify the vertex of the graph. Tell whether it is a minimum or maximum. Answers
a. (-4,2); minimum
b. (2,-4); maximum
c. (-4,2); maximum
d. (2,-4); minimum
Answer:
D
Step-by-step explanation:
The vertex is the turning point of the graph.
This is at (- 1, - 2)
The graph changes from decreasing to increasing at (- 1, - 2)
Hence is a minimum at (- 1, - 2)
The point lies above the point (0, -2), indicating a maximum value based on the behavior of the graph. The correct answer is b. (2, -4); maximum.
To identify the vertex of the graph and determine whether it is a minimum or maximum, we need to examine the coordinates provided and understand the behavior of the graph around those points.
Understand the behavior of the graph:
Since the graph cuts the x-axis at (-1, 0) and the y-axis at (0, -2), and it is mentioned that the vertex lies on the graph, we know that the vertex must be somewhere between these two points.
Identify the vertex from the given options:
a. (-4, 2); minimum
b. (2, -4); maximum
c. (-4, 2); maximum
d. (2, -4); minimum
Plot the given points and analyze the behavior:
Start by plotting the points (0, -2) and (-1, 0) on the graph.
Option b (2, -4) lies above the point (0, -2), indicating a maximum, while option a (-4, 2) lies below the point (-1, 0), indicating a minimum.
Verify the choice:
To confirm, calculate the value of the function at each vertex.
If the y-coordinate of the vertex is greater than the y-coordinate of the points on either side, it's a maximum; if it's smaller, it's a minimum.
For option b (2, -4):
The y-coordinate of the vertex (-4) is less than the y-coordinate of the points on either side (-2 and 0), indicating a maximum.
For option a (-4, 2):
The y-coordinate of the vertex (2) is greater than the y-coordinate of the point (-2) on the left, indicating it cannot be a minimum.
Therefore, option b (2, -4) is the correct choice: It represents a maximum point on the graph, which aligns with the behavior described in the problem statement and observed on the graph.
Calculate the volume of the composite solid. Round your answer to the nearest hundredth.
A. 2,155.48 m
B. 2,255.48 m
C. 2,515.48 m
D. 2,551.48 m
Answer:A
Step-by-step explanation:
The volume of the composite solid is A---2,155.48 m
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r^{2} *h[/tex]
Where:
V: It's the volume
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2)^{2} * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 m^{3}[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac{\pi * r^{2} * h }{3}[/tex]
V: It's the volume
r: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac{\pi * (7.2)^{2} * 11 }{3}[/tex]
[tex]V = \frac{\pi * 51.84 * 11 }{3}[/tex]
[tex]V = 597.153931594347 m^{3}[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 m^{3}[/tex]
If we round up we have:
[tex]V = 2551.48 m^{3}[/tex]
What is a composite solid?A composite solid is a solid that is composed, or made up of, two or more solids. The solids that it is made up of are generally prisms, pyramids, cones, cylinders, and spheres.Learn more about Volume of Composite Solid here:
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The masses of six chairs are 34.5 kilograms, 42.6 k, 39.8 k, 40.1 k, 53.4 k 33.8 k. Find the mean mass.
Answer:
41.9
Step-by-step explanation:
Answer:
40.7
Step-by-step explanation:
add all of the masses together and the divide that answer by how many chairs there are
. Select ALL the true statements. There is more than one answer. *
Given a box plot, it is always possible to calculate the mean of the data.
Given a box plot, it is always possible to calculate the median of the data.
Given a box plot, it is always possible to construct a corresponding dot plot.
Given a dot plot, it is always possible to construct a corresponding box plot.
Help looks like i forgot to read a ruler
Answer:
4 1/4
Step-by-step explanation:
it looks like 4 and 1/4
Answer:
D. 4 1/4
Step-by-step explanation:
hope it helps!! good luck:)
PLEASE ANSWER QUICKLY!
Simplify –7(x + 10) + 9(x – 4)
Answer:
2x-106
Step-by-step explanation:
-7(x+10)+9(x-4)
Expand parentheses:
-7x-70+9x-36
Combine like terms:
2x-106
Hope this helps!
Answer:
2x - 106 (or x - 53) i hope this helps! :)
Step-by-step explanation:
-7(x + 10) + 9(x - 4)
you need to distribute the -7 with the x and the 10
-7x - 70 + 9(x - 4)
distribute the 9 with the x and -4
-7x - 70 + 9x - 36
combine like terms first the x values
2x - 70 - 36
combine like terms
2x - 106
i dont remember if you divide both by two or not
x - 53 if so x - 53 is the answer
!!!!!!!!!! 18 POINTS!!!!!!!!!!!
Write an equation in slope-intercept form that is parallel to the given graph going through the point (-3, 4).
Answer:
y=-3+4
Step-by-step explanation:
2 Points
If the formula 1 = $ x; is used to find the mean of the following sample,
what is the value of n?
2, 63, 88, 10, 72,99
A. 8
B. 5
C. 7
D. 6
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Analyze the zeros of f(x) = x4 – 3x3 - 2x + 3x - 5.
Determine the number of complex zeros.
a.2
b.4
c.1
d.3
Please select the best answer from the choices provided
A
B
C
D
Answer:
A
Step-by-step explanation:
e2020
:)
Find the area of the figure that is blue
Answer:
there is no pic
Step-by-step explanation:
Answer:
i need a picture.
Step-by-step explanation:
Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?
Answer:
Step-by-step explanation:
The problem solver "completed the square." He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.
Answer:
A.
Step-by-step explanation:
just did it
Find the area and perimeter of the rectangle with vertices (5,3), (5,-4), (1,-4), (1,3)
Answer:
p=22 a=28
Step-by-step explanation:
i need help please this math thing is due in today
Answer:
50.75 × 0.18 = 10.2
196 ÷ 0.499 = 400
Step-by-step explanation:
can i get branliest
Use the data on the dot plot to answer the question.
How many people read for more than three hours last week?
100pt
Answer:
14 people read more thin 3 hours
Step-by-step explanation:
Answer:
it is 14
Step-by-step explanation:
hope this helps. :)
PLEASE HELP WITH THESE ❤️ (DUE TODAY!!!)
Answer
Caythlyn patter will be
3
7
15
mina pattern will be
4
9
19
Step-by-step explanation:
all your doing is multiply and then adding because an number time 1 is the number it is multiplied by. and then keep adding and mutiply on to find you answer
(p.s im not sure so i hope its right I tried)
2. In the diagram, m XYZ = 115° and m WXY = 45°.
What is m XWY?
Answer:
70°
Step-by-step explanation:
The exterior angle XYZ is the sum of the remote interior angles, W and X.
115° = 45° + ∠W
∠W = 115° -45°
∠W = 70°
Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
a. 125
b.150
c.500
d.300
Answer:
$300.00
Step-by-step explanation:
If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500
Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.
Answer:
d.300Step-by-step explanation: