Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that [tex]\mu = 26, \sigma = 2[/tex]
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 26}{2}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69
Answer:
Step-by-step explanation:
Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Answer:
$365
Step-by-step explanation:
did the math
X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.
X=
Y=
Answer:
X=-2
Y=0
Step-by-step explanation:
X+y=-2 = x=-2-y
3x+4y=-6
3(-2-y)+4y=-6
-6-3y+4y=-6
y=0
x+3(0)=-2
x=-2
Answer:
[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]
Step-by-step explanation:
To solve by substitution we must first isolate 1 variable in an equation.
Let's use the first equation.
[tex]x+3y= -2[/tex]
Subtract 3y from both sides to isolate the variable x.
[tex]x+3y-3y= -2 -3y[/tex]
[tex]x= -2 -3y[/tex]
Now we can substitute the expression (-2-3y) in for x in the second equation.
[tex]3x+4y= -6[/tex]
[tex]3(-2-3y)+4y= -6[/tex]
Distribute the 3. Multiply each term inside the parentheses by 3.
[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]
Combine the like terms on the left side.
[tex]-6-5y= -6[/tex]
Add 6 to both sides to isolate the variable.
[tex]-6+6-5y=-6+6\\-5y=0[/tex]
Divide both sides by -5.
[tex]-5y/-5=0/-5 \\y=0[/tex]
Now we know that y is equal to 0 and can substitute it into the first equation and find x.
[tex]x+3(0)=-2[/tex]
[tex]x+0=-2 \\x= -2[/tex]
x is equal to -2 and y is equal to 0.
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
Complete the equation of the line whose slope is -2 and y-(0,8)
Answer:
Equation: y = -2x + 8
Step-by-step explanation:
REMEMBER: The slope intercept form is y - mx + b. In slope intercept form, m is the slope and b is the y-intercept.
A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces
Answer: C
Step-by-step explanation:
1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!
Which equation represents a line with slope -1/2
that passes through (-3, 4) ?
Answer:
y=-1/2x+5/2
Step-by-step explanation:
y-4=-1/2(x-(-3))
y-4=-1/2(x+3)
y-4=-1/2x-3/2
y=-1/2x-3/2+4
y=-1/2x+5/2
Complete the equation of the line through (-10.-7) and (5.9).
15 POINTS PLEASE
Answer:
y=16/15x-11/3
Step-by-step explanation:
(9--7)/(5--10)
slope = 16/15
y=16/15(x)+b
-9=(16/15)(-5)+b
b=-11/3
Gia receives an allowance of $2 a week and already has $20 in savings. Michael receives an allowance of $3 a week and already has $5 in savings. Gia and Michael both save their entire allowance. After how many weeks, will Gia and Michael have the same amount in savings? How much money will they have?
Answer:
After 15 weeks, Gia and Micheal will both have $50 in savings.
Step-by-step explanation:
For Gia:
We start at $20 since she already has $20 in savings, we will add that to how much Gia will receive in 15 weeks.
Gia receives $2 a week and therefore in 15 weeks she will have $50.
= 2x15 = $30
= 30+20 = $50
For Micheal:
We start at $5 since he already has $5 in savings, we will add that to how much Micheal will receive in 15 weeks.
Micheal receives $3 a week and therefore in 15 weeks he will receive $50
= 3x15 = $45
= 5+45 = $50
You start baby sitting at 5:30 pm. You babysit for 2 hours. What
time will you be done babysitting?
Answer:
7:30
Step-by-step explanation:
5:30 + 2:00 = 7:30
Answer:
7:30 p.m.
Step-by-step explanation:
you start babysitting at 5:30 you babysit for 2 hours 5 + 2 equals 7 . 7+.30 equals 7:30 p.m.
Given that angles ABC ~ DEF, solve for x and y.
I can't seem to get this problem factored
40y squared + 44y+12
Answer:
4(2y+1)(5y+3)
Step-by-step explanation:
........
The graphs give the prices of different sizes of TVs available in the market. Which graph contains the line that best fits the given data and shows a positive association?
Answer:
3.05kilograms to grams
Answer: it’s graph D
:)
What is the slope of a line perpendicular to the line whose equation is
X+ 3y = –15. Fully simplify your answer.
PLEASEE help 10 points?
Answer:
3
Step-by-step explanation:
4. What is the y-intercept of this equation?
y=7X-6
Answer:
-6
Step-by-step explanation:
[tex]y = 7x - 6 \\ \\ equating \: it \: with \\ \\ y = mx + b \\ \\ b = - 6 \\ y - intercept = - 6[/tex]
There are 60 mangoes, They are packed in 7 boxes. How many mangoes are there in each box and how many mangoes are left out?
Answer:
There are 4 mangoes left.
There are 8 mangoes in each box.
Step-by-step explanation:
60 / 7 (rounded) = 8
60 remainder 7 = 4
8 * 7 = 56
9 * 7 > 56
56 + 4 = 60
please mark me as brainliest
You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?
Answer: Okay i think i got it: roughly $46.83
Step-by-step explanation:
Answer:
Its 50$ cause u gotta round up
Step-by-step explanation:
So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100
Can anyone help me I will really appreciate it.
Answer:
-9 = Yes
8 = Yes
-8 = Yes
9 = No
This is a question my friend asked me help
Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water, in gallons, is needed in order to make three gallons of cranberry juice? Express your answer as a common fraction.
Answer:
12 / 5 gallons
Step-by-step explanation:
Need help with 8! Please show your work!!!!! Appreciate it! Have a nice day
The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?
Patrick payed 12$ for 2 1/2 candy. How much did each pound of candy cost.
Expand and simplify 3(3x+3)-3x(4x+2)
Answer:
−12[tex]x^{2}[/tex]+3x+9
Step-by-step explanation:
=(3)(3x)+(3)(3)+−12x2+−6x
=9x+9+−12x2+−6x
Combine Like Terms:
=9x+9+−12x2+−6x
=(−12x2)+(9x+−6x)+(9)
=−12[tex]x^{2}[/tex]+3x+9
cost of 4 dozen bananas is rupees 180 how many bananas can be purchased for rupees 30 unto
Answer:
8 bananas
Step-by-step explanation:
4 dozen is equal to 48 and 180 divided by 48 is 3.75 then 30 divided by 3.75 is 8
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
Question 6 of 10
Which of the following appear in the diagram below?
Check all that apply.
zd
ОА. Иму
B. Y
I C. ZXYZ
OD. ZYXZ
SUBMIT
PREVIOUS
Answer:
83 dz
Step-by-step explanation:
yeahlets bbzkalaamN
Part A
Which rule defines the function in the graph?
Answer:
c because yes
Step-by-step explanation:
trust me it's C
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Complete question is;
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far
she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.
Assume Zac and Lynn continue to travel at the same constant rates and make no stops.
Determine the solution of the system of linear equations.
Answer:
Zac: y = 55a
Lynn: y = 60(a - ½)
6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.
Step-by-step explanation:
Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;
zac's speed = 123.75/2.25 = 55 mi/hr
Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;
Lynn's speed = 105/1.75 = 60 mi/hr
Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.
Thus;
a hours after Zac started travelling, his distance covered will be;
Zac: y = 55a
Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.
Thus, Lynn's distance traveled after Zac started = 60(a - ½)
Lynn: y = 60(a - ½)
The solution will be when they have travelled equal distances a hours after Zac started. Thus;
55a = 60(a - ½)
55a = 60a - 30
60a - 55a = 30
5a = 30
a = 30/5
a = 6 hours
Putting 6 for a in y = 55a, we have;
y = 55 × 6
y = 330 miles
answer this for brainliest answer
Answer:
exact form of n=3/2
decimal form of n=1.5
mixed number form of n= 1 1/2
Help pls! Need by 2 pm est time. Just do number 2 pls
7
Step-by-step explanation:
10.9-3.7 = 7.2
Therefore, 7 is the best estimate.