Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
Which function could produce the graph shown below?
dnesda
-4
+3
+2
5
10
15
20
25
30
35
Exponential function given in Option (C). f(x) = 4e⁻⁰°⁰⁵ will be the answer.
Exponential function: An exponential function is given by,
[tex]f(x)=ae^{bx}[/tex]
Given in the question,
Graph of the exponential function passes through two points,(0, 4) and (27.5, 1)
For (0, 4),
[tex]4=ae^{b\times 0}[/tex]
[tex]a=4[/tex]
For (27.5, 1)
[tex]1=4(e)^{27.5\times b}[/tex]
[tex]e^{27.5b}=0.25[/tex]
[tex]\text{ln}e^{27.5b}=\text{ln}(0.25)[/tex]
27.5b = -1.3863
b = -0.05
Therefore, exponential function will be → [tex]f(x)=4e^{-0.05x}[/tex]
Option (C) will be the answer.
Learn more about the exponential function here,
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what is the measurement of YVX?
Answer:
the measurement of YVX is 88°
A company installs a rectangular septic tank 30 ft long by 15 ft wide and 2 ft deep. Calculate the capacity of the tank in gallons. (Use 1ft3 = 7.48 gal.)
Answer:
V = lwh
V = 15 x 2 x 30
V = 900 cu.ft
V = 900 cu.ft x 7.48 gal/ cu.ft
V= 6,732 gal
Identify the constant of proportionality from the table.
26
5 15
6 18
8 24
C. 2
D. 6
Answer:
The constant of proportionality is 3.
Step-by-step explanation:
6/2 is 3 and so on.
Correct me if I'm wrong
When you roll a number cube, there are 6 possible _____.
a.) dots
b.) sides
c.) outcomes
b.) none of these
Answer:
c. outcomes
Step-by-step explanation:
Suppose that an airplane is currently flying at an altitude
of 31,680 feet and will be landing on a tarmac 120 miles
away. Find the average angle at which the airplane must
descend for landing. Round your answer to the nearest
unit.
Answer:
i just want points
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
HELP WILL GIVE BRAINLIST: Answers A: $26.81 b: $22.98 c: $19:98 D $3.83
Answer:
B 22.98
Step-by-step explanation:
divided 11.49 by 3, you get 3.83, then multiply it by 6. thats your answer
Answer:
B: $22.98
Step-by-step explanation:
The first thing we need to do for this question is find a pattern. Find a pattern between the prices of 3 pizzas, 4 pizzas, and 5 pizzas. Once we have this pattern, we can solve for x.
To find the pattern, we must first subtract the price of 4 pizzas from the price of 3 pizzas. This difference is 3.83, so we know the price went up $3.83. Next, subtract the price of 5 pizzas from the price of 4 pizzas. This is also 3.83, so we know that for every extra pizza added, the price goes up $3.83.
Now that we have our pattern, we can solve for x. Because the price goes up $3.83 for every extra pizza added, we can add $3.83 to the price of 5 pizzas. This will give us $22.98. We now know the value of x and the price of 6 pizzas.
I hope this helps. Please let me know if you need any more help. Have a great day and good luck!
A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?
Make x the subject of the formula r=√x²+y²
Answer:
Step-by-step explanation:
Please Help me its all ready late
Answer:
x = -1/3
Step-by-step explanation:
1/3x = 2/9 - 3/9
1/3x = -1/9
x = -1/3
Hope that helps!
No links please and thanks
Answer:
3,4 is the correct answer for this question
Choose all equivalent expression(s). ab^-3x=
Answer:
Is there a photo the problem or is that just it?
Answer:
The answer is the last two.
Step-by-step explanation:
Please no links!! Can’t open them! Thanks
A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.
Find the missing probability.
P(A) = ?
P(B) = 2/5
P(A and B) = 6/25
The missing probability will be P(A) = 3/25. The correct option is C.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability is used in mathematics, statistics, and many other fields to quantify uncertain or random events.
To find the missing probability P(A), we can use the formula for the probability of the intersection of two events:
P(A and B) = P(A) * P(B|A)
Where P(B|A) is the conditional probability of B given A.
Rearranging this formula, we get:
P(A) = P(A and B) / P(B|A)
To find P(B|A), we can use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Substituting this into the first formula, we get:
P(A) = P(A and B) / (P(A and B) / P(A))
Simplifying, we get:
P(A) = P(A and B) / P(B)
Substituting the given values, we get:
P(A) = (6/25) / (2/5)
Simplifying, we get:
P(A) = (6/25) x (5/2)
P(A) = 3/25
Therefore, the missing probability is P(A) = 3/25.
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Sophie bikes at a speed of s miles per hour. her friend rana is slower, her biking speed is only r miles per hour. Tomorrow both girls are planning to spend 3 hours biking. how much longer will be the sophies route
Plz help
Hhhhhhhheeeeeeeeellllllllllppppppppp
Answer:
Step-by-step explanation:
1kg = 1000g
3000g [divide by 1000 to get answer in kg]
3kg = D
Please help ASAP and show working out
Answer:
card 7 was removed
Step-by-step explanation:
This is so easy if you just do it one step at a time.
Anyway,
2 + 5 + 8 + 9 = 24
24 / 4 = 6
15 Points for this and brainliest pls help I am soooooo desparateeeeeeeeee
Answer:
cant see the words clearly please type the words and answers !!
what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box
find the mad: 250, 249, 251, 253, and 253
Its 250 for sure i have not done mads for a while now.
So maybe double check me with someone else
Answer:
It's 1.44
Step-by-step explanation:
two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measurement of the angle?
45°
22.5°
67.5°
30°
Answer:
Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.
what an expression that is equivalent to 7/8
Answer:
0.875 is the equivalent fraction
y = x^3 + 5x^2 + 3x x= -3
Answer:
9
Step-by-step explanation:
-3^3 +5*(3)^2 +3*-3
-27+5*9+(-9)
-27+45-9
=9
Answer:
Step-by-step explanation:
Wherever you see an x, put in -3
y=(-3)^3 + 5(-3)^2 + 3(-3)
y = - 27 + 5 * 9 + -9
y = -27 + 45 - 9
y = 9
find 3/4 of 32
please show all your work for full credit
Answer:
24
Step-by-step explanation:
[tex]\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24[/tex]
PLS ANSWER 12 POINTS U DONT HAVE TO EXPLAIN JUST GIVE THE RIGHT ANSWER PLS AND THANK YOU ILL GIVE YOU BRAINLIEST
Answer: 35 *
Its a right angle. 90 - 55 = 35
The stem-and-leaf plot shows the amount of money each student in Spanish club collected for charity this semester. How many
male students are represented in the stem-and-leaf plot?
A)
14
B)
26
40
D)
72
Its 72 I hope it helped.
A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Answer:
Expected value for 4 tickets = $ -7.6
Step-by-step explanation:
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1
⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6
⇒Expected value for 4 tickets = $ -7.6
A woman had $200. She went to a meatshop,
a bookstore and a drugstore. She spent four
times as much money at the meatshop as she
did at the drugstore. She spent $15 less at the
bookstore than at the drugstore. She then had
$5 left.
(a) Using $x to represent the amount she spent
at the drugstore, express in algebraic terms
(i) the amount she spent at the meatshop
(ii) the amount she spent at the bookshop
(b) Obtain an equation for the total amount
of money spent and hence calculate the
amount she spent at the drugstore.