Answer:
d. 0.303
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.
Distribution of the difference between Sean's and Evan's income:
Sean has mean 225, Evan 240. So
[tex]\mu = 225 - 240 = -15[/tex]
Sean's standard deviation is of 25, Evan's of 15. So
[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]
Probability that Sean will have a greater income than Evan in a randomly selected week:
Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-15)}{29.15}[/tex]
[tex]Z = 0.51[/tex]
[tex]Z = 0.51[/tex] has a pvalue of 0.695
1 - 0.695 = 0.305.
Closest to 0.303, option d.
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²
Plug in 10 as the radius, and solve
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](10²)
A = 100[tex]\pi[/tex]
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Cross multiply and solve for x:
100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]
x = 144
So, the degree measure of the sector arc is 144°
Answer:
Solution :-We know that
Area = πr²
Area = 3.14 × (10)²
Area = 314/100 × 100
Area = 314 cm²
Now
40π/314 = x/360
40 × 3.14/314 = x/360
125.6/314 = x/360
0.4 = x/360
0.4 × 360 = x
144 = x
[tex] \\ [/tex]
Question 13 I don’t know how to do it
Answer:
y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)
Step-by-step explanation:
The roots from the graph are
x = - 6 , then factor is (x + 6)
x = - 2 , then factor is (x + 2)
x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then
y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier
To find a substitute any point on the graph into the equation
Using (0, - 3 ), then
- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )
- [tex]\frac{1}{4}[/tex] = a
Then
y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)
what is the surface area?
Answer:
D.)
Step-by-step explanation:
(3x4)/2 = 6
(3x4)/2 = 6
5x11= 55
4x11= 44
3x11= 33
= 146
if p=(-1,-1) find the image of P under the following rotation. 90 degrees counterclockwise about the origin brainly
Answer:
(1 , –1)
Step-by-step explanation:
bro, you can see it if you draw on graph paper, or you just need to use your imagination more
Answer:
1,-1
Step-by-step explanation:
Geometry i need help with this geometry question
Answer:
RS/XY = ST/YZ
Step-by-step explanation:
They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.
Use the distributive property to write an equivalent expression.
3(4x - 8y + 5)
Answer:
12x - 24y + 15
Step-by-step explanation:
The distributive property multiplies all of the terms by 3.
So:
3(4x) + 3(-8y) + 3(5) =
12x + (-24y) + 15 =
12x - 24y + 15
A new laundry detergent is supposed to be equally superior to the leading brand in both hot and cold water. If the new detergent works as predicted, then there should be an interaction between the brand of detergent and the temperature of the water.
a. True
b. False
Answer: false
Step-by-step explanation: because you set the temp not the liquids.
Write an addition expression to describe each situation. Then find each sum.
1.)A hawk is in a tree 100 feet above the ground. It flies down to the
ground
Answer:Step-by-step explanation:
Johnny was buying pizza rolls. One sausage pizza roll cost 1.54 and he also bought pepperoni flavored rolls. If he buys 6 sausage rolls and 10 pepperoni rolls and he spends $22.54 in total. How much does a pepperoni roll cost?
Answer:
$1.33
Step-by-step explanation:
multiply 6 by 1.54 to see how much he spent on sausage rolls
subtract that from the total ($22.54)
divide by 10 to see how much each pepperoni roll costs
Answer:
$1.33
Step-by-step explanation:
1.54x6=9.24
22.54-9.24=13.30
13.30/10=1.33
Theo has one piece of train track that is 74 millimeters long and a second piece of train track that is 97 millimeters long.
How many meters of track does Theo have in all?
0.171 m
1.71 m
17.1 m
171 m
Plz help me well mark brainliest if correct....??
Answer:
Table B
Step-by-step explanation:
Which is true about the line whose equation is x = 5?
The slope is undefined.
The y-intercept is 4.
The value of x always equals the value of y.
The slope is zero.
Answer:
the slope is undefined
Step-by-step explanation:
Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.
Elena wonders how much water it would take to fill her cup, so she wants to determine the diameter of the cylindrical cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 17 cm long and the cup is 15 cm tall. What is the diameter of the cup? Explain or show your reasoning.
Answer:
get brainly pictures in the appp store it should help you
Step-by-step explanation:
what is 70.5 and 79.5 on a number line 60-100?
Answer:
s
Step-by-step explanation:
which energy change happens when we switch on a battery-powered radio
pythagorean theorem round to the nearest tenth !!
Answer:
8,06
Step-by-step explanation:
c = Va^2+b^2 = V4*4+7*7 = v65 = 8,06
HELP ME PLEASE, I can't figure out this puzzle :(
Some of the ingredients in Monica's cake recipe will have 2/3 cup of
butter, and 3/4 cup of flour. Monica wants to make 12 cakes. How much
butter will she use? How much flour will she use?
Answer:
(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10
I want to know what 5/8 divided by 8/5 equals
Answer:
The answer is 0.390625
(no links) Please Help!
9514 1404 393
Answer:
D, B
Step-by-step explanation:
Price per pound is found by dividing dollars by pounds.
Store A: $9/(3 lb) = $3.00 /lb
Store B: $9.75/(3 lb) = $3.25 /lb
Store C: $12.40/(4 lb) = $3.10 /lb
Store D: $14.50/(5 lb) = $2.90 /lb
Part A: The lowest price per pound is $2.90 per pound at store D.
Part B: The highest price per pound is $3.25 per pound at store B.
1 1/4×-1 1/3 is equals to?
Answer: [tex]-\frac{5}{12}[/tex]
Steps:
[tex]1\frac{1}{4}\times \left(-1\right)\frac{1}{3}[/tex]
Convert mixed numbers to improper fractions: [tex]1\frac{1}{4}[/tex][tex]=\frac{5}{4}[/tex]
[tex]=\frac{5}{4}\times \left(-1\right)\frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:rule}:\quad \:a\left(-b\right)=-ab[/tex]
[tex]\frac{5}{4}\left(-1\right)=-\frac{5}{4}\times \:1[/tex]
[tex]=-\frac{5}{4}\times \:1\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:rule}\:a\times 1=a[/tex]
[tex]=-\frac{5}{4}\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]\frac{5}{4}\times \frac{1}{3}=\frac{5\times \:1}{4\times \:3}[/tex]
[tex]=-\frac{5\times \:1}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:1=5[/tex]
[tex]=-\frac{5}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12[/tex]
[tex]=-\frac{5}{12}[/tex]
Hope This Helps!
Someone be a g and answer this!
3/4(x-2)+1/3(2x+5)=4
Answer:
X=86/17
Step-by-step explanation:
Answer:
x=46/17
Step-by-step explanation:
Let's solve your equation step-by-step.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
Step 1: Simplify both sides of the equation.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)
3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4
( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)
17/ 12 x+ 1/ 6 =4
17/ 12 x+ 1/ 6 =4
Step 2: Subtract 1/6 from both sides.
17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6
17/ 12 x= 23/ 6
Step 3: Multiply both sides by 12/17.
( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )
x= 46/ 17
please help if u can
Answer:
x = 11.74739484
Step-by-step explanation:
To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:
tan(θ) = opposite / adjacent
We can substitute the values we already have:
tan(40) = x / 14
x = 14 * tan(40)
We can evaluate this using a calculator and get:
x = 11.74739484
21. What is area of a rectangle with width 6 meters and length 3 meters?
I
A 6 m2
B.
12 m2
c. 18 m²
D. 36 m2
Answer:
18 m^2
Step-by-step explanation:
A genie pops out of a lamp and presents you with the following choice: - Receive $50,000 now or For the next month, start with 2 pennies on Day 1 and then receive 2 more pennies on Day 2, 4 more pennies on Day 3, 8 more pennies on Day 4, etc.
Write a function for each situation to determine the best financial decision.
Answer:
y = .01x * 2^x
y = 50000x
Hope that this helps!
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠BAF and ∠CAF are complementary.
∠BAF and ∠BAC are adjacent.
∠DAC and ∠CAB are supplementary.
Answer:
Angle BAF and angle BAC is incorrect.
They overlap: adjacent angles do not overlap.
Answer: Choice B
angle BAF and angle BAC are adjacent
=============================================================
Explanation:
Let's go through each of the answer choices.
Choice A is true since angles BAF and CAF form a right angle (90 degree angle). So we can rule this out.Choice B is false. This is the answer. Adjacent angles must share a common ray or side, which does happen with the two angles in question (both share ray AB); however, note that angle BAF is completely inside angle BAC. We cannot have this overlap, or any overlap at all, when it comes to adjacent angles. Choice C is true. The two angles combine or glue together to form a straight angle, which is 180 degrees. We can rule this answer choice out.35 Type the correct answer in each box. Day Amount 1 $26 2 $23 3 $31 4 $26 5 $34 The table shows the amount Bill spent on 5 days last week. The mean of the amount he spent is $ The mean absolute deviation is $ Reset Next
Answer:
The answer is 23 I just took this test and got it right
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
heeeeeeeeeeeelppppppppppppppppppppppppppppp
1. The Agent Earned $6,303
First, the real estate agency will earned 5.5%
5.5/100 * $382,000 = $21,010
Then, the agent earns 30% of $21,010
30/100 * $21,010 = $6,303
2. Basically, we're setting up an equation where Option A and Option B are the same amount.
For option A, you are making 23 dollars each hours, for 40 hours. (40*23)
For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)
Set the 2 options as equal and solve for x. so x is 920(.04x
sorry if wrong it was really hard
3. If 90% are women, 10% are men.
If x is the total amount of people.
.1x = 320
Solve x from here.
FIANNLY IM DONE
the question is in the picture
Answer:
the hypotenuse is 10
Step-by-step explanation:
6^2 + 8^2 = 100
square root 100 and its 10