Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean[tex](\mu)[/tex] = 500 and a standard deviation[tex](\sigma)[/tex] = 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = [tex]\dfrac{Y-\mu}{\sigma}[/tex]
Z-score = [tex]\dfrac{625-500}{100}[/tex]
⇒ Z-score = [tex]\dfrac{125}{100}[/tex]
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Question 1 (2 points)
Nicole earns a 4.5% commission at LuLu Lemon. She sold $800 worth
of gear. How much was her commission
Answer:
36
Step-by-step explanation:
can anyone help me with this?
Answer:
First Blank (4) Second Blank (3)
Step-by-step explanation:
The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.
Hope this helps : ) Mark Brainliest
whats the circumference?
Answer:
40.82
Step-by-step explanation:
3.14 times 13
Help help help please help help helpp
Answer:
(4⋅2x)+(-2+4)=8x+2
2⋅3(1a+1a)=
6a+6b
I hope these are okay, and what you were asking for. I hope this helped! +*♡
help pls
750000 + 4000 x 4%
Answer:
750160 ez
Step-by-step explanation:
Juan draws a triangle on a coordinate grid. He then performs a series of transformations. Juan claims the resulting triangle is congruent to the other triangle. Select all the transformations that Juan could have performed.
If you were flipping a coin, and needed to get 2 heads in a row, what is the probability of getting two heads in a row. Use your probability tree to help. /
Answer:
1/4
Step-by-step explanation:
If you flip it twice the possible outcomes are
H H
H T
T H
T T
The chances of you getting H H is 1 / 4. If you flip it more than twice, the probability changes. Let's try three times. That gives you 8 different choices.
H H H *
H H T *
H T H
H T T
T H H *
T H T
T T H
T T T
What this gives is 3 chances out of 8 which is 0.375 and that's better than 0.25
Four would give you an even better result, There are 16 ways of flipping a coin 4 times. The successful results are
H H H H
H H H T
H H T T
H H T H
T H H T
T T H H
H T H H
I'm sure there might be a couple of more, but already you have done better than 3/8
7/16 is almost 1/2
7/16 = 0.4375
I think however that the answer you should submit is 1/4
What is 0.0475 converted to a percentage
Answer:
0.0475 = 4.75%
Step-by-step explanation:
Answer:
4.75%
Step-by-step explanation:
Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.
The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.
[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]
We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is: 4.75%
Using the tree diagram and assuming that all options are equally likely, what is the probability of using sprinkles?
Choose
ICECREAM
Choose
TOPPING
nuts
vanilla
sprinkles
nuts
Enter shop
strawberry
sprinkles
nuts
chocolate
sprinkles
Answer:
c
Step-by-step explanation:
(c) 80 people entered the marathon. 85% of
finished in under three hours. How many
people finished in under three hours?
Answer:
68 people
Step-by-step explanation:
Find how many finished in under 3 hours by multiplying 80 by 0.85
80(0.85)
= 68
So, 68 people finished in under 3 hours
f(x) = 3x + 7. What is f(4) ?
Answer:
I believe the answer is 19.
triangle DEF is formed by connecting the midpoints of the sides triangle ABC. The lengths of the sides of DEF are shown. what is the length of AB
The requried length of the AB is given as AB = 16.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Since triangle DEF is formed by connecting the midpoints of the sides of triangle ABC, the length of the sides of triangle DEF is half the length of the corresponding sides of triangle ABC. That is:
DE = 1/2 AB
EF = 1/2 BC
FD = 1/2 AC
We can use the information about the lengths of the sides of triangle DEF to find the length of AB.
Since DE = 8 and EF = 10, we can use the triangle inequality to find FD:
FD + DE > EF
FD + 8 > 10
FD > 2
Similarly, since EF = 10 and FD = 12, we can use the triangle inequality to find DE:
DE + EF > FD
DE + 10 > 12
DE > 2
Finally, since DE = 8 and FD = 12, we can use the triangle inequality to find EF:
EF + FD > DE
EF + 12 > 8
EF > -4
Since all sides of a triangle must have positive lengths, EF cannot be negative. Therefore, the inequalities we have found imply that:
2 < FD < 12
2 < DE < 8
0 < EF < 10
Since DE = 1/2 AB and EF = 1/2 BC, we can write:
AB = 2DE = 2(8) = 16
BC = 2EF = 2(10) = 20
Therefore, the length of AB is 16.
Learn more about triangles here:
https://brainly.com/question/2773823
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Due in 5 mins!! FIND THE MISSING LENGTHS!!!!!
PLEASE HELP!! I don't really know how to solve this.
Answer:
x=13
y=14
Step-by-step explanation:
We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.
Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].
We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].
We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].
Sevilya bought a new computer. She had to pay 8% in sales tax. The cost of the computer is $1,000. How much did she pay in total? Show all work
Answer:
1080
Step-by-step explanation:
1000*8%=80
1000+80=1080
What is the missing value in the table?
answer;
C.21 you have to subtract each number.
Find the volume of the cone plsss help
Answer:
the volume of the cone is about 56.52
Step-by-step explanation:
the formula for the volume of the cone is πr^2(h/3), so if you plug in the numbers, you'll get about 56.52
What is the value of y in the parallelogram below
Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta
Answer:
5/13
Step-by-step explanation:
1. We are given tan(x)=5/12 .....(2)
2. On comparing the quantities we get that p=5 and b=12
3. We require the value of hypotenuse(h),
for this we apply the Pythagoreum theorum: p^2+b^2=h^2
⇒h^2=5^2+12^2
⇒h^2=25+144
⇒h^2=169
⇒ h=√169
⇒ h=13
Sin=p/h
p=5
h=13
Sin=5/13
6x4/12+72/8-9 using pemdas
Answer:
the answer is 2
Step-by-step explanation:
You do multiplication and division left to right first and then you add the two answers
need help with calculation:
you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)
Answer:
if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .
Solve for x - 3 1/2 = 1/2x + 1/2x + x.
-1 1/2
-1 3/4
-5 1/2
Please help
Will give brainly
Answer:
B) -1 3/4
Step-by-step explanation:
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Step-by-step explanation:
Let a=x+2 and b=x+6
The area of a rectangle is given by
A=a*b
So
[tex](x + 2) \times (x + 6) = {x}^{2} + 8x + 12[/tex]
Answer:
A = x² + 8x + 12
Step-by-step explanation:
Area of a rectangle:
A = bh
A = (x + 6)(x + 2)
A = x² + 2x + 6x + 12
A = x² + 8x + 12
Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart
The difference in speed of the two cars is 72-60 = 12 km per hour.
The time they would be 8 km apart would be 8/12 = 2/3 of an hour
1 hour = 60 minutes
60 minutes x 2/3 = 40 minutes.
The cars will be 8 km apart in 40 minutes.
Answer:
After 40 min they will be 8km apart
Step-by-step explanation:
Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min
-2
у
5
4.75
4.5
4.25
1
2.
WILL GIVE BRAINLIEST (URGENT)
Answer:
C
Step-by-step explanation:
Answer:
C 1/5 is the coorect answer
Step-by-step explanation:
what would been the volume?
Answer:
960 cm²
Step-by-step explanation:
Volume = height x length x width
Volume = 16 x 12 x 10
Volume = 1920 cm²
Since this prism is half
Volume = 1/2 ( 1920)
Volume = 960 cm²
-7/4 = 2/5x solve for x
Roseanne drew a circle with a radius of 20.2 cm. What was the approximate circumference of the circle if you use 3.14 for ?
A. 63.428 cm
B. 126.856 cm
C. 126.956 cm
D. 253.712 cm
find the unknown lengths in the pair of similar triangles
Answer:
a = 3
b = 2
Step-by-step explanation:
The ratio of the corresponding sides of two similar triangles are always equal. Therefore,
9/a = 18/6 = 6/b
✔️Let's solve for a:
9/a = 18/6
9/a = 3
Cross multiply
a*3 = 9
Divide both sides by 3
a = 9/3
a = 3
✔️Let's find b:
18/6 = 6/b
3 = 6/b
3*b = 6
b = 6/3
b = 2