Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
Learn more about standard deviation here:
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The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?
Answer:
After using the coupon the price of the shirt would be $14.80
Step-by-step explanation:
To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80
There is a 12% sale on glue sticks. The
original price was $3.00 What is the new
cost?
Answer:
$0.36
Step-by-step explanation:
12*3 36
____ =____
100 100
PLEASE HELP ASAP
Solve each system by graphing. (REAL GRAPH PAPER ONLY)
Answer:
Slope with Y intercepts and going down/ up from there
Step-by-step explanation:
I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for 1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.
please help me and my sister! Were a bit stuck!
Ok...
what exactly do you need help with?
Answer:
help with what lol
Step-by-step explanation:
plz help!! will give brainliest!!
Find the zero of the function.
f(x)= 4x^2– 12x+9
Answer:
The zero is x = 3/2 = 1.5
Step-by-step explanation:
We recognize that the trinomial 4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:
(2 x - 3)^2
Therefore, the zeros are the x-values that verify the following:
(2 x - 3)^2= 0
that is (2 x - 3) = 0 and solving for "x":
2 x = 3
x = 3 / 2
x = 1.5
Solve the following equations | 3x + 3/7 | = 2 1/3
Answer:
X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]
Step-by-step explanation:
Help please this is urgent
Answer:
1.55 = Toni(2)
1.56 = Morgan(1)
1.53 = Pat (3)
Step-by-step explanation:
Is it most to least because that is what i did?
if you dont know what 3x4= its 12
Answer:
thanks im not smart
Step-by-step explanation:
sn i knew that...
Please help. Only if you know it.
Answer:
C (Lake Depth Answer)
Step-by-step explanation:
Here we want to find the math that ends up with 0.
The stock starts with 12$, but loses 16$.
That's -4$ total, not 0.
The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.
This leaves us with 1 proton, not 0.
The lake depth increases by 6 inches, but evaporates 6.
This leaves us back where we started, with 0.
Ahmed spends 25$, but earns 30$.
This leaves us with $5, not 0.
Hurry plz!!
For parts (b) and (c), type each answer in the box below.
b. Explain why the opposite of a positive number will always be a negative
number
C. Explain why zero is its own opposite number.
4x + y = 0
y-intercept
Submit
Help with this problem!!!!
X/2-3=9
Answer:
pretty sure it's
2
−
3
=
9
\frac{X}{2}-3=9
2X−3=9
2
−
3
+
3
=
9
+
3
Which expression is equivalent to (-7-4i)(6+7i)?
Answer:
Step-by-step explanation:
-14 - 73 i
Answer:
-28i^2-73i-42
Step-by-step explanation:
(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)
= −42−49i−24i−28i^2
= -28i^2-73i-42
you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?
Answer:
Wouldn't it be 8?
Step-by-step explanation:
You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.
Answer:
8
Step-by-step explanation: you can crack, cook, and eat with 1 egg
so if you cracked 2 cooked 2 and ate 2, it means that you only used 2
PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!
the answer will be 2.5 hope that helps you
Answer:
2.5 or in other terms 2 1/2
Step-by-step explanation:
8p+3=5p+9
Please solve with work I’ve gotten it wrong 9 times
p= 2
Step-by-step explanation:
1. subtract 3 from 3 and 9
2. subract 5p from 8p and 5p
3. it is now 3p = 6
4 divide both sides by 3
5. 6/3 is 2 so 2 =p
Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7
= 0.08, k = 2, and n = 12.
A 124,800.00
B 16,010.32
C 25,181.70
D 129,600.00
30.32
Answer:
A = 16010.32
Step-by-step explanation:
Given that,
[tex]A=P(1+\dfrac{r}{k})^n[/tex]
Put P = 10,000, r = 0.08, k = 2 and n = 12 in the above formula to find A.
[tex]A=10,000(1+\dfrac{0.08}{2})^{12}\\\\=10,000\times (1.04)^{12}\\\\=16,010.32[/tex]
So, the value of A is 16010.32. Hence, the correct option is (B).
At a little known Vacation Spot, Taxi fares are a bargain a 48 mile taxi ride takes 54 minutes and costs 43.20 you want to find the cost of a 25 mile taxi ride what unit Price do you need
Which of the following points are in the third quadrant of the xy-plane? Check
all that apply.
Step-by-step explanation:
The x and y-values in the 3rd quadrant are both negative.
Remember this:
1st quadrant- x= + y= +
2nd quadrant- x= - y= +
3rd quadrant- x= - y= -
4th quadrant- x= + y= -
What is the missing number that makes the fractions equivalent?
1 4/7=?/42
Answer:
84
Step-by-step explanation:
You need to figure out 7 times what gets you 42
6 x 7 = 42
then you do the same for 14
14 x 6 = 84
sorry if this wasn't a good explanation
A typical tip in a restaurant is 15% of the total bill. If the bill is $100, what would the typical tip be
Answer:
15 dollars
Step-by-step explanation:
Total Bill = Cost of the Meal + tip
Total Bill = 100 + 15/100 * 100
Total Bill = 115
So the tip is 15 dollars.
Let t= the amount Thomas earned. Thomas earned $ 49 or more
HELLLLPPPP MEEE PLEASE AND THANK YOU
Step-by-step explanation:
180° = m<A + m<B + m<C
180° = 45° +60° + m<C
180° = 105° + m<C
m<C = 180° - 105 °
m<C = 75°
Please help 8th grade math!
Find the value of 'x'.
(x+40) (x+20)
the answer to your problem is 60=x
What is the value of the expression below 64 5/6
Answer:
[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]
Step-by-step explanation:
We need to find the value of the expression :
[tex]64\dfrac{5}{6}[/tex]
It is in the form of a mixed fraction. We can simplify it as follows :
[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]
Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].
Answer:
32
Step-by-step explanation:
Apply the distributive property to: 3(u+6)
Answer:
3u + 18
Step-by-step explanation:
times the 3 to both
Answer:
turn it into 3u+18
Step-by-step explanation:
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim
Answer:
Claim cannot be rejected
Step-by-step explanation:
We solve this by using hypothesis testing
H0: mean = 40
H1: mean ≠ 40
We have samples of 30, but we were not gives the population standard deviation. We used the t distribution
T score = 39.2-40/(7.5/√30)
= -0.5842
Degree of freedom = 30-1 = 29
Then p value = 0.5636
In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.
So company's claim cannot be rejected
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, 1/9, 1/27
Answer:
not sure if this is correct but is it 3??
Step-by-step explanation: