Complete question :
The expected value of a random variable X is 140 and the standard deviation is 14. The standard deviation of the random variable Y=3X-10 is:
Answer:
42
Step-by-step explanation:
Standard deviation of Y = 3X - 10
The variance of Y
Var(Y) = Var(3X - 10)
Var(Y) = Var(3X) - Var(10)
10 is a constant :
Var(10) = 0
Hence,
Var(Y) = Var(3x)
SD(Y) = Var(Y) = Var(3X)
SD(Y) = SD(3X)
SD(Y) = 3SD(X)
SD(X) = 14
SD(Y) = 3 * 14
SD(Y) = 42
Manuel and Peter are standing 12 ft. apart from each other and looking up at a kite that is flying between them. Manuel is flying the kite on a 65 ft. string at an angle of 70(degrees) with the ground. How far is Peter from the kite?
A. 61.9 ft.
B. 65.8 ft.
C. 68.1 ft.
D. 99.5 ft.
Answer:
C. 68.1 ft.
Step-by-step explanation:
Hope this helps
Answer:
Trigonometric Identities and Applications Test Part 1
1. a,c,e
2. B sinx
3.b,d
4. D sec thea
5. b,c
6. A. 0.67
7. A sqrt 6- sqrt2/4
8. A cos^2 47=....
9. B 2+sqrt3/4
10. c,e
11. C .63
12. A 8.9
13 D 8.0
14 D 86.2
15 61.9 ft
16 writen
17. a,d
18. b,c
19 a,d
20 writen
Step-by-step explanation:
took part one and I missed some but it's to help others in need :)
What is the surface area of the prism?
Answer:
Step-by-step explanation:
Since we know the total surface area of a prism is equal to the sum of all its faces, i.e., the floor, walls, and roof of a prism. Therefore, the surface area of a prism formula is given as: Total surface area of a prism = 2 x area of the base + perimeter of the base x Height.
mark me brill please
What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25
Answer:
K = - 6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(4k+5)+3(3−3k)=25
Step 1: Simplify both sides of the equation.
2(4k+5)+3(3−3k)=25
(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)
8k+10+9+−9k=25
(8k+−9k)+(10+9)=25(Combine Like Terms)
−k+19=25
−k+19=25
Step 2: Subtract 19 from both sides.
−k+19−19=25−19
−k=6
Step 3: Divide both sides by -1.
Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?
Answer:
He can completely fill six glasses, and there will be one glass 2/5 of the way full.
Step-by-step explanation:
simplify the expression Please HELP
which eqaution is false for x=8
50 POINTS AND BRAINLIEST!
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is
A. Linear
B. Non-linear
Answer:
its A linear
Step-by-step explanation:
its going upwards and that means its linear and when the end point is going downwards that means its non linear
Answer:
my answer was incorrect my mistake
SYSTEM OF EQUATIONS
The sum of three times Sophia's age and twice Nick's age is 73. Twice Sophia's age plus four times Nick's age is 86. How old is Sophia?
Write the linear inequality shown in the graph. The gray area represents the shaded region. y ≤ –x + 4 y ≤ –x – 4 y ≥ –x – 4 y ≥ –x + 4
For Example:
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≤ 3x + 4
B. y ≤ 3x – 4
C. y ≥ 3x + 4
D. y ≥ 3x – 4
Answer: C
Step-by-step explanation:
1. The graph indicates that the line intersect the y-axis at -4.
2. Then, you must choose any point that are located within the region and replace them to see if the inequality is satisfied. Therefore, you have:
Point (0,2)
I hope this helps! :)
Nick is splitting 4 quarts of ice cream with 9 members of the team. If the ice cream is split evenly, how many will each person get? Explain.
Answer:
Each member will get 3 and 1/2 cups or 3.5 cups of ice cream.
Which of the following equations has no solution?
3x + 1 = 2x + 1
3x + 1 = 3x + 1
3x + 1 = 3x + 2
Answer:
the last one
..
An item costs $410 before tax, and the sales tax is $24.60.
Find the sales tax rate. Write your answer as a percentage.
Answer:
$434.60
Step-by-step explanation:
$410.60 added to $24.60 equals $434.60
Which of the following describes the translation of the graph of y = x 2 to obtain the graph of y = -x 2 - 3?
reflect over the x-axis and shift left 3
reflect over the x-axis and shift down 3
reflect over the y-axis and shift down 3
Help I forgot how to do this
Answer:
number 5 is 11 and number 6 is 16
Step-by-step explanation:
you substitute a for 4 bc a equals 4 and than finish the equation 4+7=11
6. you substitute b for 2 and c for 8 and multiply which than is 16
Which equation is equivalent to 2-2(3x - 1)=2
Answer:
it should be C
Step-by-step explanation:
I hope this helps! I am sorry if I am wrong!
Answer:
c
Step-by-step explanation:
2-2(3x-1)=2 2-6x+2=2 . 2-6x+2=2 4-6x=2 . -6x+4=2 . -6x+4-4=2-4 -6x=-2 -6x=-2 -6x/-6=-2/-6 x=1/3 .
Simplify: -6(x + 5) show work plz
Answer:
The answer is -6x - 30
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 6x - 6 \times 5[/tex]
2) Simplify 6 × 5 to 30.
[tex] - 6x - 30[/tex]
Thus, the answer is -6x - 30.
Answer:
-6x - 30
Step-by-step explanation:
Multiply using the distributive property.
-6x - 30
Hope this helps
HELPP! I"LL GIVE THE FIRST RIGHT ANSWER BRAINLIEST!!!
Answer:
61
Step-by-step explanation:
Heights of Smith's Adult grandchildren median: 339
Heights of Thompsons' Adult Grandchildren median: 400
400 - 339 = 61
Use the given area of the base and the height to find the volume of the right rectangular prism, in cubic units.
You dident give us a picture of it so we cant tell
Celesta and Sam found that 14 marbles would fill each pouch. There were 12 pouches. How many marbles
did they need to fill all the pouches?
Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?
Answer:
x=17
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps
can someone help me with this
Answer:
A
Step-by-step explanation:
plss help mehhhhhhhhhhh pls
Answer:
Infinitely many solutions.
Step-by-step explanation:
Any value of X makes the statement true, meaning the solution is all real numbers.
Which expression is equivalent to 1/4(2 – 5x + 6)?
Answer: the answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
at the market Miss Winn bought 3/4 IB of grapes and 5/8 idea of cherries how many ounces of grapes did Miss win by
Answer:
12 oz of grapes
Step-by-step explanation:
1 lb = 16 oz so 16*3/4 = 12
The total of 24 and a number x as an algebraic phrase
Answer:
24+x
Step-by-step explanation:
We need to find the expression for the following phrase i.e. the total of 24 and a number x.
Total means we need to add two numbers.
i.e.
Expression = 24+x
Hence, this is the required solution.
Determine if the equation y = 15(1.35)* represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.
Answer:sdfghgfdfghnhgfdfgh
Step-by-step explanatsdfghjhgfghjk
====================================================
Explanation:
The equation is in the form y = a*(b)^x
The 'a' is the initial or starting value. In this case, a = 15.
The b is the base of the exponent which is tied to growth or decay. If 0 < b < 1, then we have decay. If b > 1, then we have growth.
Since b = 1.35, and 1.35 > 1, this means b > 1 and the given equation represents exponential growth.
Solving 1+r = 1.35 leads to r = 0.35. This means the growth rate is 35%
A company has 20 employees their average salary is $64,000, and their median salary is $40,000. Which statement is true.
All employees have a salary of about $40,000
$64,000
Between 40,000 to 64,000
Half of the employees earn higher than $40,000
Answer:
The last one, Half of the employees earn higher than $40,000
Step-by-step explanation:
The MEDIAN, or Middle salary is $40,000. That is the numbed that is right between all of the salaries. So since it is in the middle, then half of the people are above it, therefore it is the last one.
Mean = 25
Standard Deviation = 3.8
P(X
Find the value of k.
Round to 2 decimal values.
Answer:
The normal distribution is explained for the solution of this question.
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.
Mean = 25, Standard Deviation = 3.8
This means that [tex]\mu = 25, \sigma = 3.8[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 25}{3.8}[/tex]
If P(X > k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of 1 - a.
If P(X < k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of a.
Iman wrote the inequality below to represent the money, x, that she has. Which situation is correctly represented by the inequality?
x < 12
a
Iman has no more than $12.
b
Iman has less than $12.
c
Iman has more than $12.
d
Iman has at least $12.
Answer: B, Iman has less than $12.
Step-by-step explanation: The sign shown is less than.
In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 4 hours. How many bacteria would
there be after 17 hours, to the nearest whole number?
Answer:
it’s 102747.494736, estimate is 102747
Step-by-step explanation: