Answer:
The game's expected value is of -$1.5.
Step-by-step explanation:
Expected value:
Probability of each outcome multiplied by the outcome.
One out of 6 sides is 2:
1/6 probability of the player earning 45 - 9 = $36.
5/6 probability of the player losing $9. So
[tex]E = 36\frac{1}{6} - 9\frac{5}{6} = \frac{36 - 45}{6} = -\frac{9}{6} = -1.5[/tex]
The game's expected value is of -$1.5.
Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula.
2x^2+7x-4=0
[tex]2x^2 + 7x -4=0 \\<=> 2x^2+8x-x-4=0 \\<=>2x(x+4)-(x+4)=0\\<=>(x+4)(2x-1)=0\\<=> x+4=0 /or/ 2x-1=0\\<=>x=-4/or/x=\frac{1}{2}=0.5[/tex]
ok done. Thank to me :>
Evaluate.
16÷(2+1/2)2
(the 2 at the end is a 1 half to the 2 power)
PEMDAS, notice Parentheses is first, then Exponents 2nd
[tex]16\div\left(2 + \left( \frac{1}{2} \right)^2 \right)\implies 16\div\left(2 + \left( \frac{1^2}{2^2} \right) \right)\implies 16\div\left(2+\frac{1}{4} \right)[/tex]
now that the exponent got done, let's keep in the parentheses
[tex]16\div\left(\frac{2}{1}+\frac{1}{4} \right)\implies 16\div\left(\cfrac{8+1}{\underset{\textit{using this LCD}}{4}} \right)\implies 16\div \left( \cfrac{9}{4} \right)[/tex]
PEMDAS, after all that we'll do D, Division next
[tex]16\div \left( \cfrac{9}{4} \right)\implies \cfrac{16}{1}\div \cfrac{9}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{9}\implies \cfrac{64}{9}\implies 7\frac{1}{9}[/tex]
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this just some addition to your previous posting, since you kinda got spammed some
[tex]\stackrel{\stackrel{\textit{E first}}{\downarrow }}{2^3}+4\cdot 2-7\implies 8+4\cdot 2-7\implies 8+\stackrel{\stackrel{\textit{M second}}{\downarrow }}{8}-7\implies \stackrel{\textit{AS last from left to right}}{16-7\implies 9}[/tex]
notice, PEMDAS, P first and so on, AS are last, from left to right.
Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.
Answer:
since the number of nickels is 10 so the expression is5+5
The number of nickels is 10 so the expression is n = 3f - 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.
Consider that f represent the number of dollar bills.
The expression "The number of nickels is" is equivalent to "n =";
Also, "three times the number of five dollar bills" is equivalent to "3*f"
"eight less than three times the number of five dollar bills" is equivalent to "3*f - 5"
Then the expression is n = 3f - 5
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.
Slope = 5/2
y intercept = -1
======================================================
Work Shown:
m = 5/2 = slope
(x1,y1) = (-2,-6) = point the line goes through
y-y1 = m(x-x1) .... point slope form
y-(-6) = (5/2)(x-(-2))
y+6 = (5/2)(x+2)
y+6 = (5/2)x + (5/2)*2
y+6 = (5/2)x + 5
y = (5/2)x + 5 - 6
y = (5/2)x - 1
This equation is in slope intercept form y = mx+b
m = 5/2 = slope
b = -1 = y intercept
Complete the table for the equation Y=2x+3
Hope it helps.
Don't forget to click the Brainliest button and if you have any query, feel free to ask in the comment section.
Find the slope of the line passing through the points (-7,8) and (-7,-6)
Find the slope of the line passing through the points (-9,-8) and (3,-8)
Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
[tex]m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}[/tex]
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
[tex]x=-7[/tex]
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
[tex]m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0[/tex]
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
[tex]y=-8[/tex]
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.
Find the equation of BOTH tangent lines to the circle (x+4)2 + (y-3)2 = 25 along y=6
Answer:
x=0 ,y=6
Step-by-step explanation:
solve for the first variable in one of the equations
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?
Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
Which of the following will have the same value as 350 × 10?
Answer: 3500x1 or 35x100
Step-by-step explanation:
350x10=3500
3500x1=3500
35x100=3500
pls solve this equation for brainliest 2a+2=8?
Answer:
a=3
Step-by-step explanation:
you subtract 2 from both sides of the equation you simplify it and then you divide both sides of the equation by the same term and then simplify it again
Answer:
a=3
Step-by-step explanation:
What is the equation of the line that passes through
(-5, 0) and (4, 3)?
Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).
First, find the slope using the two given points.
[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]
At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).
[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]
The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].
You can check for errors by putting in the point you didn't use...
Check to make sure the point (4, 3) satisfies the equation.
[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex] True!
help no links I need answers
Answer:
The answer is A im new to this id.k if you need help with the image or not sorry if that dosent answer your question but the answer is A for that picture.
Step-by-step explanation:
Here is my question
Answer:
[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
Step 1 :
4 - 1 [tex]\frac{3}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex]
Step 2 :
1 ÷ 2 [tex]\frac{2}{5}[/tex] = 1 × [tex]\frac{5}{12}[/tex] = [tex]\frac{5}{12}[/tex]
Step 3:
[tex]\frac{2}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8+5}{12}[/tex] = [tex]\frac{13}{12}[/tex] = 1 [tex]\frac{1}{12}[/tex]
Step 4:
3 ÷ [tex]\frac{13}{12}[/tex] = 3 × [tex]\frac{12}{13}[/tex] = [tex]\frac{36}{13}[/tex] = 2 [tex]\frac{10}{13}[/tex]
Step 5:
1 - 2 [tex]\frac{10}{13}[/tex] = - 1 [tex]\frac{10}{13}[/tex] = - [tex]\frac{23}{13}[/tex]
Step 6:
1 - [tex]\frac{16}{39}[/tex] = [tex]\frac{23}{39}[/tex]
Step 7:
[tex]\frac{23}{39}[/tex] ÷ ( - [tex]\frac{23}{13}[/tex] ) = - [tex]\frac{23}{39}[/tex] × [tex]\frac{13}{23}[/tex] = - [tex]\frac{1}{3}[/tex]
Step 8:
[tex]\frac{3}{8}[/tex] - ( - [tex]\frac{1}{3}[/tex] ) = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{9+8}{24}[/tex] = [tex]\frac{17}{24}[/tex]
Identify the range of values for x.
Answer: Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
What is the product?
(38b* )-822
Answer:
[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]
Step-by-step explanation:
[tex]\sf (3a^2b^4)(-8ab^3)[/tex]
We'll use rule of exponents to simplify expression.
[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]
Now, use the commutative property of multiplication.
[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]
In order to multiply power of the same base, we add their exponents.
[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]
→ Add exponents:
[tex]\sf 3^1(-8)^1a^3b^7[/tex]
→ Multiply 3* -8
[tex]\sf -24a^3b^7[/tex]
__________________________________________
round to nearest ten thousand
887,173
What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
What is a credit score and a credit rating?
A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.
A credit rating is a measure of in letters that expresses the credit worthiness of an individual.
Answer:
c
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
a² + b² = c²
12² + b² = 15²
b² = 225 - 144
b² = 81
b = 9
Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res
The type of bias in this survey is question-wording bias because the question is influencing the response (option D).
Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:
Do you believe a cruel practice such as bullfighting should be forbidden?In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.
This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.
Note: This question is incomplete because some of the options are missing; here are the complete options:
What type of bias could be most likely affecting the survey results?
A. This is undercoverage bias because some segments of the population will be excluded from the sample.
B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.
C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.
D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.
Learn more about bias in: https://brainly.com/question/6078134
A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00
Answer:
cost for 18 apples: $3.38
$5 will buy 26 apples
Step-by-step explanation:
let 'a' = apples
1.50/8 = cost per apple
$0.1875 for one apple
cost for 18 apples: 0.1875 x 18 = $3.38
5.00 / 0.1875 = number of apples for $5 → 26
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h
Use the distributive property to multiply 4,345 x 2
Answer:
8690
Step-by-step explanation:
there is no distributive property just multiply using a regular calculator
Write an equation for the situation: Kristian has $200 which is two times Alejo's money plus $20.
Answer:
x= 2y + 20
Step-by-step explanation:
we could say kristian and alejo, Bob and Bill, shelled and Jackie or just about any other two words so let's call them x any y. kristian is x and also is y.
so kristian (x) has twice as much money plus another 20.
this means x has 2 times plus 20 more than y.
so x= 2y + 20
whats .8421 rounded to the nearest tenth
Answer:
8420
weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
A golf retailer purchases its clubs from a wholesaler at $39 per club. It sells the same clubs to golfers at $76 per club. What is the markup on each club, as a percentage of the wholesale price?
Find the amount of the markup by subtracting:
76-39 = $37
Divide the amount of the mark up by the purchase price:
37/39 = 0.948 x 100 = 94.8%
Answer: 94.8 %. Round the answer as needed.
6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.
Answer:
14.5 ≥ g(1.5)
g = The number of trips to the grocery store.
You will have 11.5 gallons left.
What is the radical form of the expression 4 3/2?
Answer:
[tex]\sqrt{4^{3} }[/tex]
Step-by-step explanation:
4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]
since the numerator (3) represents the exponent, and the denominator (2) is the root
think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power
Hep help help help help math math
Answer:
5(37)+10
10(17.5)+5
Step-by-step explanation:
5x+10=180
-10 -10
5x=170
divide by 5
x=37
---------------------
10x+5=180
-5 -5
10x=175
divide by 10
x=17.5
Inequality word problem
Step by step and explanation pls do the problem or report
Answer:
34 hours or more
Step-by-step explanation:
If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...
15h ≥ 500
h ≥ 33 1/3 . . . . . divide by 15
Jack needs to work 34 hours or more to earn at least $500.
8. Paula needs to replace the floor in her family room since her cat peed in several
places. She wants to put down both vinyl flooring and carpet in the room. The
carpet she selected costs $2 per square foot. The vinyl floor covering costs $1
per square foot. She has $500 to spend on materials and must cover an area of
300 square feet. How much carpet and vinyl flooring will she buy to meet her
requirements?