Answer:
$4.35
Step-by-step explanation:
The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is
[tex]\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})[/tex].
Therefore, the expected value of the winnings from a game is
[tex]\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})[/tex].
David invests $10,000 in a savings account that pays 3.5% simple interest. If David
makes no withdrawals or deposits to the account, how much will be in the
account after 7 years.
Answer:
David will have $12,450 if he makes no withdrawals.
Please help I'll mark brainliest
A cook came across two cups and one saucer in a kitchen cupboard.
Bored for something to do, she weighed each item.
Altogether, the three items came to 12 ounces.
The larger cup with the saucer weighed exactly double of the smaller cup.
The smaller cup with the saucer weighed exactly the same as the larger cup.
What did each item weigh?
Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces
Step-by-step explanation:
what is 9/blank= 4? i really don't know
Answer:
9/4
Step-by-step explanation:
Answer:
9/2.25 = 4
Step-by-step explanation:
9/x = 4
x = 9/4 or 2.25
HELPPPP ASAPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?
Answer:
this is wrong answer
Step-by-step explanation:
Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?
It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.
In Economics, the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."
In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.
learn more:
https://brainly.com/question/25585026
for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)
Answer:
Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]
Step-by-step explanation:
[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]
[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]
[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]
[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]
[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]
[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]
[tex]sin^2(\theta)=1-cos(\theta)[/tex]
[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]
[tex]-cos^2(\theta)=-cos(\theta)[/tex]
[tex]cos^2(\theta)=cos(\theta)[/tex]
[tex]cos^2(\theta)-cos(\theta)=0[/tex]
[tex]cos(\theta)[cos(\theta)-1]=0[/tex]
[tex]cos(\theta)=0[/tex]
[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
[tex]cos(\theta)-1=0[/tex]
[tex]cos(\theta)=1[/tex]
[tex]\theta=0[/tex]
Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]
Helpful Tips:
Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]
Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]
[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]
[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]
[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]
Sara says, "If you subtract 17 from my number and multiply the difference by - 4, the result is
- 60." What is Sara's number?
Answer:
32
Step-by-step explanation:
ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.
equation is this: (x-17)×-4= -60
Next, we solve using pemdas!
x-17=[tex]\frac{-60}{-4}[/tex] (keep in mind that a negative cancels out a negative!)
add 17 to both sides
x= [tex]\frac{-60}{-4}[/tex]+17
So then now that you have the new equation you simplify!
x= 32
Melllissa owns 4 sets of jewelry. Each set contains 2 earrings, 1 neckles, 1 bracelet, 1 ring. How many pieces of jewelry does Melissa have all together?
Answer:
The answer is to the problem is 18.
#6) Find the value of x. Be sure to show your work.
(x+1)/(x+2)=3/4
Solve the equation
QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST
Answer:
1. The cost of the fencing material for each side of the playground.
2. The perimeter of the park
3. The labor fee
4. The cost of the fencing material for the whole park.
Step-by-step explanation:
Hope this helps! :)
1/3 of 3 please help I'll give 20 points
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
what is the equation of the circle graphed.
Answer:
Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.
Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28
Answer:
2√21
Step-by-step explanation:
1) Simplify.
√84
2) Simplify √84 to 2√21.
2√21
what is an equation of the line that passes through the point (3, -8) and has slope -2?
Answer:
Step-by-step explanation:
slope of -2 means the slope is -2/1
from (3, - 8) you can find the y intercept by going backwords until x = 0
(2,-6)
(1,-4)
(0,-2)
so the y intercept is -2
y = -2x - 2
The question in the picture
1/27
Explanation:
You would multiply to get to the answer.
Can you please help me with number 15
Answer:
142.25 miles
Step-by-step explanation:
239- 96.75
142.25
Evaluate 40x40x402x2x2
Answer:
2,572,800
Step-by-step explanation:
I hope this helps!
Answer: 40 x 40 x 402 x 2 x 2 =128,640
I need the anwser to this right now please
Answer:
b. 9
Step-by-step explanation:
2+9=11
11+11=22
22+6=28
PLS HELP!
For which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
(square root) (-2x)^2
The value of x must be less than zero for the expression to make sense
The value of x must be less than zero for the expression to make sense
The value of x must be greater than zero for the expression to make sense
For each of the expressions to make sense, the values inside the square root must be greater than zero.
For the expression [tex]\sqrt{-2x^2}[/tex]
-2x^2 > 0
x^2 < 0/-2
x^2 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^3}[/tex]
(-2x)^3 > 0
-8x^3 > 0
x^3 < 0/-8
x^3 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^2}[/tex]
(-2x)^2 > 0
2x^2 > 0
x^2 > 0
x > 0
The value of x must be greater than zero for the expression to make sense
Learn more on inequality here: https://brainly.com/question/24372553
-9=-12+b
What is the equation?
Answer:
The answer is 3 because you have to add 12 to both sides to isolate b.
Step-by-step explanation:
THE EQUATION IS -9=-12+b.
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3
Answer:
x<=-12
Step-by-step explanation:
1/4x<=-3
*Multiply both sides by 4
x<=-12
and it's solved :)
Help help math math math
Answer:
This is a nonlinear function
Step-by-step explanation:
This is because in increase in y changes every time in this function, from 3 to 5 to 7
The answer is Non-Linear. Hope this helps :)
Help help math math math math
Answer:
y= [tex]\frac{3}{2}[/tex]x -1
Step-by-step explanation:
To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.
then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Answer:
y = 3/2 - 1
Step-by-step explanation:
First let's take two coordinates in the line.
( 2 , 2 ) ( 0 , -1)
You can use y = m x + c to find the equation of the line.
Here,
m → slope
c → y - intercept
( 2 , 2 ) ( 0 , -1)
↑ ↑ ↑ ↑
( x1 , y1 ) ( x2 , y2 )
First let's find the slope of the line.
m = ( y1 - y2) / ( x1 - x2)
m = ( 2 - (-1) ) / (2 - 0 )
m = ( 2 + 1 ) / 2
m = 3 / 2
Now let's find the y - intercept of the line.
For that, let's use ( 0 , -1 ) coordinate
y = m x + c
y = 3/2 × 0 - 1
y = 0 - 1
y = ( - 1 )
Therefore, the equation of the line is,
y = 3/2x - 1
Hope this helps you :-)
The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers
Larger number: Smaller number:
Answer:
S 25, L 41
Step-by-step explanation:
Small + Large = 66
Large = Small + 16
s + (s + 16) = 66
2s + 16 = 66
2s = 50
s = 25
25 + Large = 66
Large = 41
Which inequality matches the graph?
Answer:
x < 2/3 y + 2 1/3
Step-by-step explanation:
put it in a graphing calculator and they matched, I do not know
A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?
Answer:
8/10
Step-by-step explanation:
id hope your have a great day
Answer:
80%
Step-by-step explanation:
80÷100=.8 which is 80%
Help please and thanks
Answer:
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Step-by-step explanation:
Consider the figure
We have
[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]
[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]
[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
Answer:
C. Three fourths of the fish he caught were less than 22 pounds.
Step-by-step explanation:
Hope it helps! At least you didn't scream Imao
Answer:
C
Step-by-step explanation:
i answered so the other person gets the brainliest they deserve!