Answer:
25 is 2.5 standard deviations from the mean.
Step-by-step explanation:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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.
In this question:
Mean of 15 and a standard deviation of 4, so [tex]\mu = 15, \sigma = 4[/tex]
How many standard deviations from the mean is 25?
We have to find Z when [tex]X = 25[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 15}{4}[/tex]
[tex]Z = 2.5[/tex]
So 25 is 2.5 standard deviations from the mean.
Answer:
2.5
Step-by-step explanation:
i just took the test
Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet.
Explanation:
There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.
I have attached the answer in the picture.
help MEEEEEE PLEASEEEEEEE
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
Which expression is a sum of a number and product. Answers. .8+3x .X+1 over 5 2(x-9). 5+x-4
Answer:
8 + 3x
Step-by-step explanation:
A product is a multiplication, such as 3 * 5, 2x, 4y.
3x is a product.
8 + 3x is the sum of the number 8 and the product 3x.
Answer: 8 + 3x
PLEASE HELP ME ASAP! IM SUPERRR CONFUSED
HOW DO I SOLVE
18 = x – 9
????????
Answer: 27
Explanation: This question is pretty easy, no hard math involved. all you need to do is 18+9
Exchange rates help you to know ____.
when it is best to travel
how much your currency is worth in another currency
what other economies think of your money
when to exchange your money
Answer:
B
Step-by-step explanation:
how much your currency is worth in a different currency
hope this helps <3
Can someone please help me with numbers 4 and 5!!!
Answer:
Area: 378.5
Perimeter: 71.4
Step-by-step explanation:
Area = 3 square + 2 semicircle
A = 3 x 10² + 2 x (3.14 x 5²)/2 = 300 + 78.5 = 378.5
perimeter = 2 square/2 + 2circle/2
P = 2 x(10 + 10) + 2 x (2 x 3.14 x 5) / 2 = 40 + 31.4 = 71.4
express 4037 in standard form
Answer: 4.037 × 10³
Step-by-step explanation:
If you simplify 4.037 × 10³, you get 4037
4.037 × 10³
4.037 × 1000
4037
Hope this helped!
An arts academy requires there to be 3 teachers for every 57 students and 5 tutors for every 55 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 99 students?
Answer:
15
Step-by-step explanation:
Answer:
9 tutors would be needed
Step-by-step explanation
5/55=.0909
.0909×99=9
Simple math question (Pic provided) (Algebra)
Answer:m<k+m<k=180+167-133=100
Step-by-step explanation:
1)10 = z+ 6
2) 8y = 48
3) q-12 = 1
6)11 = m-4
7)t-19=2
8)1+S = 3
9)24 = 4c
Please explain how these are solved please respond quickly
19. (03.02 LC)
ABCD is a rectangle. What is the value of x? (1 point)
65 meters
33 meters
9 meters
28 meters
Answer:
33
Step-by-step explanation:
Here in rt angled triangle ABC AC= 65 which is hypotenuse
so ,
65^2 = x^2 +56^2
√(65^2 -56^2)= x
x= 33
Help me, save my life.
The ratio of boys to girls at a movie is 4:5. If there are 15 girls, how many boys are at the movie?
Answer:
There are 12 boys at the movie.
Step-by-step explanation:
Key skills needed in order to solve: Proportions, Ratios, and Multiplication
1) The ratio is 4 boys : 5 girls --> It can be written as a fraction --> 4/5
2) If there are 15 girls, we need to find the number of boys. let's say x is the number of boys when there are 15 girls. The ratio would then be x/15
3) Make a proportion --> [tex]\frac{4}{5}[/tex] = [tex]\frac{x}{15}[/tex]
You have to cross multiply here. You do the first fraction's numerator times the second fraction's denominator, and the first fraction's denominator times the second fraction's numerator.
4) This means you have to do: 4(15) = 5(x)
5) Multiply it out --> 60=5x
6) Divide by 5 and you will get x=12
Therefore there are 12 boys at the movie.
Hope you understand and have a nice day!! :D
Find Equations for the line
Answer:
Step-by-step explanation:
(-3, -1) and (3, 2)
(2 + 1)/(3+3)= 3/6= 1/2
y + 1 = 1/2(x + 3)
y + 2/2 = 1/2x + 3/2
y = 1/2x + 1/2
p=7q-3 make q the subject
Answer:
q = (P + 3) / 7
Step-by-step explanation:
Give the expression :
P=7q-3
To make q the subject
Isolate 7q by adding 3 to both sides
P + 3 = 7q + 3
P + 3 = 7q
To. Isolate q alone, multiply both sides by 1/7
(P + 3) * 1/7 = 7q * 1/7
(P + 3) / 7 = q
q = (P + 3) / 7
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
If x = 10 and y = -5, then what is the value of 9x - 3y - 12?
Answer:
93
Explanation:
x = 10y = -59x - 3y - 12
Substitute 10 for x and -5 for y9(10) - 3(-5) - 12
= 93
which expression are eguivalent to x+2y+x+2
Answer:
2x + 2y + 2
Step-by-step explanation:
x + 2y + x + 2
1. Combine like terms
x + x = 2x
there is only one y and one number w.out variable so you cannot combine anything else
2x + 2y + 2
and u cannot simplify it anymore
Hope this helped!
PLEASE ANSWER THESE 3 QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..
Answer:
1. C 2. I am pretty sure it is D if not than C 3. C
Step-by-step explanation:
The price of an item has been reduced h 45% the original price was $49
Answer:
$26.95, you save $22.05
Step-by-step explanation:
$49 x 0.45 = $22.05 savings, 49 - 22.05 = 26.95
Does the table represent a
linear or nonlinear function?
х y
2 8
4 4
6 0
8 -4
Solve the equation. k − 34 = 71
Answer:
105
Step-by-step explanation:
[tex]k − 34 = 71 \\ \\ k = 71 + 34 \\ \\ k = 105[/tex]
Answer:
k=105
Step-by-step explanation:
34+71=105
Evaluate the expression if x=6.7x
Answer: x=1
Step-by-step explanation: x=6.7(x)
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answer:
14400 gallons of gas
Step-by-step explanation:
What is the area of the rectangle with points of (-5,5) (-1,7) (0,-5) (4,-3)
Answer
l =5
w =2
Area of Rectangle= l × w
= 5 × 2 = 10
Diagram is attached to this:
Step-by-step explanation:
last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.32, 14.199 and 14.1 gallons
Answer:
its 14.32
Step-by-step explanation:
because if you line all the numbers up and you look in the hundreds place 3 is the biggest number
Evaluate the function.
Given f(x) = x2 - 4x2 - 3x - 5, find f(5).
Answer:
5
Step-by-step explanation:
Find the image of A(-2, 3) after the following transformations.
Reflection over the X - axis with a translation down 3.
Answer:
A'(-2,-6)
Step-by-step explanation:
my mind i think its right
Add the expression
2x + 6 and 6x−1
Answer:
8x + 5
Step-by-step explanation:
You add like terms:
2x + 6x = 8x.
6 + (-1) = 5
Adding them up, you get:
8x + 5
Write your answer with no space and any fraction with “/“
Answer:
y+3=-1/2(x-1)
Step-by-step explanation:
Point-slope form of a line is given by the equation y - b = m(x - a), where,
(a, b) = is a point on the line
m = slope of the line.
A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.
The slope of the line, y = 2x - 1, is 2.
The negative reciprocal of 2 = -½.
The slope of the line that is perpendicular to y = 2x - 1 is -½.
Thus, m = -½.
Let's find the equation of the perpendicular if it passes through the point (1, -3).
Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).
Thus:
y - (-3) = -1/2(x - 1)
y+3=-1/2(x-1)