Answer:
8^3=512,8^2=64,8^1=8,8^0=1
Step-by-step explanation:
The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Distribution = Normal
Mean(m) = 66
Standard deviation (σ) = 3 inches
A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66
B.) % horses with height between 60 and 72
Using the relation :
X = 60 ; 72
Z = (x - mean) σ
Z = (60 - 66) / 3
Z = - 6/3
Z = - 2
P(Z < - 2) = 0.0228 (using table)
Z = (72 - 66) / 3
Z = 6/3
Z = 2
P(Z < 2) = 0.9772 (using table)
P(score being between 60 and 72):
0.9772 - 0.0228= 0.9544
C) number of samples = 25
Height less than 63 inches :
Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?
Answer:
30
Step-by-step explanation:
12 + 8 = 20 so that means 50-20= 30 so max is 30 years old
What is the y-intercept of the line that passes through the points (-2, 4)
and (4, -20). Make sure to choose (X1. Yı) and (X2, Y2) carefully.
Answer:
y=-4x-4
Step-by-step explanation:
-2,4
4,-20
-20-4 is -24
4--2
6
-24/6 is -4 (slope)
4=-2*-4+b
4=8+b
-4=b (y intercept)
at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram
Answer:
There were 69 students in advanced math and 184 students in regular math before the placement tests
Step-by-step explanation:
The correct question
At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the number of advanced math students to the number of regular math students to 4:7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement tests?
Let
x ----> the number of advanced math students
y ----> the number of regular math students
we know that
At the beginning of grade 6
----> equation A
After taking placement tests
----> equation B
----> equation C
Remember that
The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests
step 1
Find out the total number of students after taking placement tests
we have
----> equation B
----> equation C
substitute the value of x in equation B and solve for y
The total number of students after taking placement tests is
step 2
Find out how many students started in regular math and advanced math
we have that
At the beginning of grade 6
----> equation A
-----> equation D
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (69,184)
see the attached figure
therefore
There were 69 students in advanced math and 184 students in regular math before the placement tests
Answer:
:o
Step-by-step explanation:
graph for y=2/3x-4
Y intercept at -4 and it will be increasing from left to right because it has a positive slope.
Answer:
2/3x-4
Step-by-step explanation:
I’m dumb too
2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer
The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
To learn more about the interest visit:
https://brainly.com/question/25793394
convert 300 seconds to minutes there are 60 seconds in 1 minute
Answer:
5 Minutes
Step-by-step explanation:
If you divide 300 by 60 you get 5.
Answer: 5 MINUTES
Step-by-step explanation:
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
Evaluate the expression for x = 2 and y = 4.
Answer:
2985968
Step-by-step explanation:
your welcome
Answer:
80
Step-by-step explanation:
12(2*2*2) =96
2*2*4=16
96-16=80
What does "opposite semi-planes of segment" mean?
Answer:
opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.
Step-by-step explanation:
What is -2(x - 5)- 11 in simplest form?
Answer:
-2x - 1
Step-by-step explanation:
-2(x-5)-11
We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)
-2(x-5)-11
-2x + 10 - 11
-2x - 1
A Store has 120 customers in 6 hours.What is the unit rate in customers per hour
Answer:
20
Step-by-step explanation:
120/6=20
Solve the notable products (x-12).(x+12)
Answer:
x^2 -144
Step-by-step explanation:
PLS!!!!! HELP ME!!! I WILL MARK U!!!
Answer:
-5
Step-by-step explanation:
Answer:
The coefficient is the number before the variable. In this, they are asking for the first term which is -5m. The coefficient is -5.
Step-by-step explanation:
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14
Answer:
A
Step-by-step explanation:
9/5 and 19/10 so yeah hope it helps
Answer:
C. 15/10 and 21/14
Explanation:
A P E X
What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28Please answer this for me it’s due tonight!
Answer:
the answers are the first one and the third one.
A's slope is y = 5.75x + 3
B's slope is y = 5.5x + 4
1. Multiply (3)(−4)(2). (5 points)
Answer:
-24
Step-by-step explanation:
Answer-24
Step-by-step explanation:
3 x -4 x 2
6 x -4 =
-24
What’s the unit rate of 2 1/3 miles in 2 hours
Answer:
7/6 miles
Step-by-step explanation:
As, Distance for 1 hour = x
For 2 hours = 2 1/3
For 2 hours = 2(x)
So, 2(x)= 2 1/3
2(x)= 7/3
So, x = 7/3 ÷ 2
So x= 7/3 x 1/2
Therefore, x = 7/6
Final answer= 7/6 miles per hour
what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?
Find ‘k’ if 2 k- 1, 7, 11are in A.P.
• 2k -1 , 7 and 11 are in AP .
To find :• The value of k .
Solution :• As we know that , In AP common difference is same .
• b - a = c - b
=> 2b = a + c
Here :
• a = 2k-1
• b = 7
• c = 11
=> 2 (7) = 2k-1+11
=> 14 = 2k+10
=> 2k = 14-10
=> 2k = 4
=> k = 4/2
=> k = 2 .
Hence ,the value of k is 2 .
Hope it will help you.
Regards.
Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?
Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
18(m+2m)
18m+18(2m)
54m
Step-by-step explanation:
I took the quiz.
Please help me with this !!
Answer:
All of the points would be eight places lower in the y value
Step-by-step explanation:
Lets check by putting 8 in the place of x y= 8^2 which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.
1. Half of a number is at most 5 units from 14.
Answer:
18≤n≤38
Step-by-step explanation:
someone please help me with this! please write the steps as well! thank you so much!
Answer:
where is the question
Step-by-step explanation: