Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 54 and 66?
A.79.9%
B.77.9%
C.81.9%
D.78.9%
The probability that a data value is between 54 and 66 is 81.9%
z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
[tex]z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 62, σ = 4
For x = 54:
[tex]z=\frac{54-62}{4}=-2[/tex]
For x = 66:
[tex]z=\frac{66-62}{4}=1[/tex]
P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%
The probability that a data value is between 54 and 66 is 81.9%
Find out more on z score at: brainly.com/question/25638875
Write 6(2x + 4) – 2(x + 7) +5 in the form a(bx+c)
where a, b and c are integers
and a > 1
Answer:
5(x + 3)
Step-by-step explanation:
6(2x + 4) - 2(x + 7) + 5
12x + 24 - 2x - 14 +5
10x + 24 - 9
10x + 15
5(x + 3)
What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password? a. 39 b. 900 c. 399 d. 9000 Please select the best answer from the choices provided. A B C D.
We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.
We will see that the correct option is D: 9,000
The total number of different combinations is given by the product between the number of options for each selection.
Here we have 4 selections.
First character.Second character.Third character.Fourth character.Now let's find the number of options for each of these:
First character: 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Second character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Third character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}Fourth character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}The total number of different combinations is just the product of these 4 numbers:
C = 9*10*10*10 = 9,000
So we can conclude that the correct option is D.
If you want to learn more about combinations, you can read:
https://brainly.com/question/2280026
Answer:
✅ D. 9000just took the test
Over what interval is the graph of
y=-2 + 1x - 2 increasing?
Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Question 25 of 55
Compare 5 and - 8. Which of the following is true?
O A. 15| > |-81 and 5 > -8
B. 151 > T-81 and 5<-8
O C. 151 = 1-8) and 5 >-8
O D. 151 < |-81 and 5 >-8
Plz answer it will be nice thanks
Find the EXACT distance between the two points.
(4,7) and (−4,9)
ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]
Ok done. Thank to me :>
40% of _______ is 16
Answer:
40
Step-by-step explanation:
40/100=0.4
0.4 x 40= 16
so 40% of 40 is 16
Answer:
,40
Step-by-step explanation:
40% of 40 is equal to 16
Factorize
A) [tex]x^{2} -x-132[/tex]
B) [tex]9t^{2} -u^{2}[/tex]
C) [tex]4p^{2} -9[/tex]
D)[tex]162-8t^{2}[/tex]
E) [tex]p^{2} x-4q^{2} x[/tex]
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: The answer is B.
Explanation: The explanation is in the image.
Answer:
The correct answer is B. y=11 sqrt x+0.3-4.3.
Step-by-step explanation:
I got it right on the Edmentum test.
I need help ! This paper is due tmr
A file that is 261 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
44.6 megabytes
Step-by-step explanation:
If 261 megabytes = 100% and we are looking for 17.1% then we can make a cross product.
261= 100
? = 17.1
It means that (17.1x261)/100 = 44.631
If we round our answer it equals 44.6
(s – 7)^2= 0
then, what is the value of: (s-9)(s + 3)?
Answer:
s² - 6s - 27
Step-by-step explanation:
(s - 7)² = 0
s² + 49 - 14s = 0
Now,
(s - 9)(s + 3)
(s × s) + (s × 3) - (9 × s) - (9 × 3)
s² + 3s - 9s - 27
s² - 6s - 27
x-(2x+3)
how to solve and why you change the sign for the +3?
Answer:
-x - 3
Step-by-step explanation:
x-(2x + 3)
=> x-1(2x + 3)
=> x - 2x - 3
=> -x - 3
Therefore, this is the solution. Hoped this helped.
[tex]GeniusUser[/tex]
Answer:
Step-by-step explanation:
x-(2x+3)
Notice that we can't further simplify the things in the bracket so we should multiply by -1
Technically this is like:
x - 1(2x+3)
-1 times 2x = -2x , -1 times 3 is -3
= x - 2x - 3
= -x - 3
Ricardo wants to cover a shelf with shelf
liner. The shelf is 4 feet wide and feet
deep. What is the area of the shelf?
Answer:
16 also th8s needs to be 16 letters long lol
Step-by-step explanation:
4 times 4 is 16
The side lengths of a triangle are 12, 14, and x units
Answer: x=14
Step-by-step explanation: have a good day
If e=9, find the value of 4e
Answer:
y = a e bx, b > 0
Step-by-step explanation:
took this test and got an A++
Answer:
36
Step-by-step explanation:
if e=9 then you multiply 4 by 9. E is known as a varible. Varibles are a way to substitue numbers you do not know.
Find the value of x so that the ratios are equivalent.
9:x and 54:8
Answer:1.33 (Repeated decimal)
Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.
What is |-8| ? -16
-8
8
16
Answer:
8
Those little "sticks" are called absolute value.
For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.
Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.
I hope it helps.
jack makes 55$ for 6 hours of work. How much does he make per hour
Answer:
$9.16
Step-by-step explanation:
55/6=9.16
Every day after school, Albert and his sister Valentina play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y.
Answer:
So um what's the question?
Step-by-step explanation:
its graphing linear inequalities
if u can help that would be nice
Answer:
y>_ 5/3x+3 is the answer.
Step-by-step explanation:
Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.
Step-by-step explanation:
x = eggs of Ayyub
y = eggs of Bran
z = eggs of Curtis
x + y + z = 48
y = x + 1
z = 1.5y = 1.5(x + 1)
now we are using the second and third equation in the first :
x + (x + 1) + 1.5(x + 1) = 48
x + x + 1 + 1.5x + 1.5 = 48
3.5x + 2.5 = 48
3.5x = 45.5
x = 45.5/3.5 = 13
y = x + 1 = 13 + 1 = 14
z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21
for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.
48/3 = 16
so, everybody should end up with 16 eggs.
therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).
If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.
Answer:
13+4=17,17/64=3-8=-5
Step-by-step explanation:
this is the solution
Step-by-step explanation:
Let x be the number subtracted from 13 such that the difference is 13-x
divide that resulting difference by 11, then it becomes (13 - x) / 11
Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8
the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide
both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2
Calculate the measure of angle L
==================================================
Explanation:
Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.
For any quadrilateral, the four angles always add to 360 degrees.
L+M+O+P = 360
L+90+165+90 = 360
L+345 = 360
L = 360-345
L = 15
Another route you can use is the fact that opposite angles L and O are supplementary
L+O = 180
L+165 = 180
L = 180-165
L = 15
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
B. G(x)=(x-2)^2 + 1
Step-by-step explanation:
the graph shifts two to the right x^2 turns into (x-2)^2
and the y value shifts from 0 to 1 (+1)
together, we get (x-2)^2 + 1
:)
Dan made 85% of his free throws. If he took 45 shots how many did he make?
Answer:
38
Step-by-step explanation:
85%=.85
So 45 × .85 = 38.25
38 shots he made.
Hope this helps
Work Shown:
85% = 85/100 = 0.85
85% of 45 = 0.85*45 = 38.25
Rounding to the nearest whole number, we get the result 38
As a check, 38/45 = 0.8444 approximately which converts to 84.44% and that's fairly close to 85%. If we tried 39, then 39/45 = 0.8667 = 86.67% which is a bit too high.
Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?
Answer:
Im pretty sure the answer is 5.
Step-by-step explanation:
SOMEONE HELP ON QUESTION #13 pleasseeee
Answer:
You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.
Step-by-step explanation:
Hope this helps!
Brainliest please!
