Answer:
The correct answer is option C.$35.70
A die is rolled. If it rolls to a 1, 2, or 3 you win $2. If it rolls to a 4, 5, or 6 you lose $1. Find the expected winnings.
a) $0.50
b) $3.00
c) $1.50
d) $1.00
Answer:
A. $0.5
Step-by-step explanation:
In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar
The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.
So the correct answer would be gotten from $1/2rolls
= $0.50
i need help!! thank u!!
what is 15% of 110
Answer:
15% of 110 is 16.5
Step-by-step explanation:
if you want to double check i suggest you use a calculator *which is what i used
Find all 3-digit numbers which are 19 times the sum of their digits.
Answer:
The 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
Step-by-step explanation:
Let the 3 digit number be xyz
Since x is the Hundreds digit, y is the tens digit and z is the unit digit, we have;
100x, 10y and z
We are told the sum of this is equal to 19 times the sum of their digits.
Thus;
100x + 10y + z = 19(x + y + z)
100x + 10y + z = 19x + 19y + 19z
This gives;
81x - 9y - 18z = 0
Divide through by 9 to get;
9x - y - 2z = 0
x = (2z + y)/9
Now, we will need to select values of z and y between 0 to 9 in such a way that (2z + y) is divisible by 9 and in such a way that x > 0 but ≤ 10
The possible solutions are;
At z = 1, y = 7 and x = 1
At z = 2, y = 5 and x = 1
At z = 3, y = 3 and x = 1
At z = 4, y = 1 and x = 1
At z = 5, y = 8 and x = 2
At z = 6, y = 6 and x = 2
At z = 7, y = 4 and x = 2
At z = 8, y = 2 and x = 2
At z = 9, y = 0 and x = 2
At z = 9, y = 9 and x = 3
Compiling all these, the 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month. (a) Find a point estimate for the population proportion of all customers who experienced an interruption. DO NOT ROUND the answer. (b) Construct a 90% confidence interval for the proportion of all customers who experienced an interruption. Round your answer to 3 decimal places. (c) Estimate the sample size needed so that a 95% confidence interval will have a margin of error of 0.03.
Answer:
a) point estimate for the population proportion of all customers who experienced an interruption
E = 0.029
b)
90% confidence interval for the proportion of all customers who experienced an interruption
(0.11441 , 0.16319)
C)
Size of the sample 'n' = 509
Step-by-step explanation:
Step(i):-
a)
An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month.
Sample proportion
[tex]p = \frac{x}{n} = \frac{75}{540} = 0.1388[/tex]
The point estimate of all customers who experienced an interruption
[tex]E = \frac{Z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }[/tex]
Level of significance
Z₀.₀₅ = 1.96
[tex]E = \frac{1.96\sqrt{0.138(1-0.1388)} }{\sqrt{540} }[/tex]
E = 0.029
b)
90% confidence interval for the proportion of all customers who experienced an interruption
[tex]( p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } ,p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} })[/tex]
[tex]( 0.1388 -1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} } ,0.1388 + 1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} })[/tex]
( 0.1388 - 0.02439 , 0.1388 + 0.02439)
(0.11441 , 0.16319)
c)
Margin of error
[tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.03 = \frac{1.96 \sqrt{0.1388(1-0.1388)} }{\sqrt{n} }[/tex]
√n = 22.58
Squaring on both sides, we get
n = 509
#5 Iman and Mark went out for lunch. Part A: Their food and beverages cost $21.75, and there was a 7% meals tax. How much was the bill? *
Answer:
1.47
Step-by-step explanation:
i = prt
i = 21.75 x 0.07 x1
1 = 1.47
solve for x no work needed
Answer:
[tex]\huge\boxed{82 \textdegree}[/tex]
Step-by-step explanation:
We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:
[tex]31+x+(x-15) = 180[/tex]
Let's solve for x.
Combine like terms:
[tex]31+2x-15=180[/tex]
Add 15 to both sides:
[tex]31+2x=195[/tex]
Subtract 31 from both sides:
[tex]2x=164[/tex]
Divide both sides by 2:
[tex]x= 82[/tex]
So x is 82°.
Hope this helped!
Use fives fact to help you solve 7 x 6. Show your work using
Using the "fives fact" (5 x 6 = 30) as a starting point, we added one more group of 6 to reach the final result of 36.
To use the "fives fact" to solve 7 x 6, we can break it down into simpler calculations using the fact that 5 x 6 = 30.
Here's the step-by-step calculation:
1. Start with the "fives fact": 5 x 6 = 30.
2. Since we need to find 7 x 6, we can add another 6 to the result of 5 x 6:
30 + 6 = 36
Therefore, 7 x 6 equals 36.
To know more about fact:
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#SPJ6
47*10-2+48+976-41+87*71
Answer:
7620
Step-by-step explanation:
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate: How many pounds of
potatoes are needed to make 50 pounds of mashed potatoes?
Answer:
33.333.... or 33 33/100
Step-by-step explanation:
10 potatoes makes 15 pounds of mashed potatoes can be written like 10/15
and that means x potatoes make 50 pounds of mashed potatoes
so it looks like 10/15=x/15
so 10times20divided by15=x
x=
which if the following items showed the greatest percentage in bulk
In the past month, Deandre rented 4 video games and 6 DVDs. The rental price for each video game was $2.70. The rental price for each DVD was $3.10. What is the total amount that Deandre spent on video game and DVD rentals in the past month?
Answer:
$29.40
Step-by-step explanation:
4 * 2.70 + 6* 3.10= 10.8+18.6=29.4
Which of the following exemplifies a research hypothesis? A. Democrats and Republicans have different attitudes toward gun control. B. Millennials and Gen-Xers have similar levels of anxiety. C. The driving habits of men do not differ from those of women. D. Liberals and conservatives have the same voting rates.
The polynomial –16t2 + vt + h0 models the height, in feet, of a ball t seconds after it is thrown. In this polynomial, v represents the initial vertical velocity of the ball and h0 represents the initial height of the ball. Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?
Answer: -16t^2 + 30t + 6
Step-by-step explanation: just substitute it...also did Edge
The height of the ball given by the polynomial describes the projectile
motion of the ball.
The polynomial that models the height of the ball Min throws, in feet is presented as follows;
h(t) = -16·t² + 30·t + 6Reasons:
The given polynomial for the height of the ball is; h(t) = -16·t² + v·t + h₀
Where;
v = The initial velocity of the ball
h₀ = The initial height
t = The time in seconds
The polynomial that models the height of the ball Min throws is given by substitution of the values of v, h₀, in the above equation as follows;
The height of the ball is; h(t) = -16·t² + 30·t + 6
Learn more about the equation of a projectile here:
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Simplify
(-4x*y)
(2x +y-2)
Answer: −8x²y−4xy²+8xy
Step-by-step explanation:
you have to multiply then combine hope this helps.
15 POINTS!! PLEASE ANSWER AS FAST AS POSSIBLE!!
The wind chill is currently -5 degrees, and is scheduled to drop 8 more degrees tonight. What will the wind chill be then?
Answer:
-13
Step-by-step explanation:
-5-8= -13
Jessie works as a salesman. He earns a daily wage of 250 pesos and an additional
10 pesos for every 3 pieces of cell phone sold. If x represents the number of cell
phones sold, write the function for his daily earning (y) as a function of the number
of cell phones sold (x).
Answer:
[tex]y = 250 + \frac{10x}{3}[/tex]
Step-by-step explanation:
Given
[tex]Daily\ Wages = 250[/tex]
[tex]Additional = 10[/tex] for every 3
Required
Determine the function that represents Jessie's daily earnings:
From the question, we have that:
y = earnings
x = phones
If for 3 phones, he gets 10.
i.e.:
3 pieces = 10
then
[tex]1\ pieces = \frac{10}{3}[/tex] ----- By dividing both sides by 3
and
[tex]x\ pieces = \frac{10x}{3}[/tex] ----- By multiplying both sides by x
The above expression represents the additional earnings for x phones
So, daily earnings y is calculated as :
[tex]y = Daily\ Wages + Additional\ Earnings[/tex]
[tex]y = 250 + \frac{10x}{3}[/tex]
The function representing his daily earning (y) as a function of the number of cell phones sold (x) is y = (10/3)x + 250.
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of cell phones sold and y represent the daily earnings.
Since he has a daily wage of 250 pesos, hence b = 250. Also he makes additional 10 pesos for every 3 pieces of cell phone sold, hence m = 10/3.
The equation becomes:
y = (10/3)x + 250
Therefore the function representing his daily earning (y) as a function of the number of cell phones sold (x) is y = (10/3)x + 250
Find out more at: https://brainly.com/question/13911928
What is 93% out of 100 in a equivalent fraction 
Answer:
93/100
Step-by-step explanation:
Answer: Decimal Percantage
93/100 0.93 93%
Step-by-step explanation:
At the time of her grandson's birth, a grandmother deposits 11,000 in an account that pays 5.5% compounded monthly. What will be the value of the account at the xhild's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
round to the nearest dollar
Answer:15,605
Step-by-step explanation:4000(1+.065/12)^21*12
4000(1+0054)^252
a recipe for fruit salad uses 3 times as many apples as oranges. drag apples to represent the number of apples used for every orange used.
please show step by step
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At noon, a tank contained 10cm of water. After several hours, it contained 7cm of water. What is the percent decrease of water in the tank?
(2+√3) (1+√3) the answer shuold be in c+ d√3
Answer:
[tex]5+3\sqrt{3}[/tex]
Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice she gives 5/8 cup of juice to the mags how much is left Luna glass
Answer:its 4/8
Step-by-step explanation: i put it it worked
I need help with these in order!!!
Answer:
See steps below
Step-by-step explanation:
WS ⊥ MH , HS = SM ......... Given
<HSW = <MSW = 90 ..... From WS ⊥ MH
Triangle HWS = Triangle WMS .... SAS theorem
<M = <H .... based on triangle congruency, and angle opposed to equal side WS
Find the sum plz.
3 3/15 + 4 2/5
Answer:
38/5
Step-by-step explanation:
15 x 3 = 45 + 3 = 48/15
then 4 + 5 = 20 + 2 = 22/5
22/5 + 48/15 = ?
find the common denominator
15 ÷ by 3 so you do the same to the numerator so, 48 ÷ 3 = 16
then keep the 22 and 16 and put it as 16/5 and 22/5 and add them to get 38/5
hope this helps
Find the percentage change: The price was $40. Now it is $60.
Answer: 50%
Step-by-step explanation:
$60 - $40 = $20
$20/$40 = .50 x 100 = 50%
Which of the following represents the value of x, the missing exponents needed to make the equation a true statement? Explain your reasoning.
(Please answer! I need this ASAP)
======================================================
Explanation:
The exponent rules are
a^b * a^c = a^(b+c) .... lets call this rule 1(a^b)/(a^c) = a^(b-c) .... lets call this rule 2(a^b)^c = a^(b*c) ......... lets call this rule 3The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
------------------
On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
------------------
After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21
Question 1: Noah has $5. Elena has 40% as much as Noah. How much does Elena have?
Question 2: Diego has 150% as much as Noah, how much does Diego have?
I NEED AN EXPLANATION NOT JUST THe ANSWERS PLEASE! I will give brainliest based on how good the explanation is. Thanks so much :)
Answer:
Question 1: $2 / Question 2: $7.5
Step-by-step explanation:
$5 is the original 100%, what Noah has, and if Elena has 40% of what Noah has, then they have 0.4 the amount, 5x0.4=2. It should be the same for Diego but instead 150%, or 5x1.5, which equals 7.5
4. Morris fruit farm packs 200 apples in each shipping crate. The crates are then shipped to local supermarkets. How many apples in all are there in 5 crates?
A. O 1,200 apples
B. O 1,000 apples
C. 500 apples
D. O 700 apples
Answer:
B) 1,000 apples
Step-by-step explanation:
As, 1 crate = 200 apples
5 crates = 200+200+200+200+200 = 1,000
So, 5 crates = 200 x 5 = 1,000
5 crates = 1,000 apples
Therefore, 1,000 apples
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and
% of results will be false positives.
Answer:
1
Step-by-step explanation: