Solve the inequality -24<×-3-8×. A.×>-3 B. ×<3 C.×>-9 D.×>3
Mark draws one card from a standard deck of 52. he receives $ 0.45 for a club, $ 0.55 for an ace and $ 0.75 for the ace of clubs. how much should he pay for one draw?
Mark should pay $0.1692 for one draw.
To calculate how much Mark should pay for one draw, we need to find the expected value, which is the sum of the products of each outcome's probability and its associated value.
Calculate the probabilities:
Probability of drawing a club: [tex]\( \frac{13}{52} = \frac{1}{4} \)[/tex]
Probability of drawing an ace: [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex]
Probability of drawing the ace of clubs: [tex]\( \frac{1}{52} \)[/tex]
Calculate the expected values:
Club: [tex]\( 0.45 \times \frac{1}{4} = 0.1125 \)[/tex]
Ace: [tex]\( 0.55 \times \frac{1}{13} = 0.0423 \)[/tex]
Ace of clubs: [tex]\( 0.75 \times \frac{1}{52} = 0.0144 \)[/tex]
Sum the expected values:
[tex]\( 0.1125 + 0.0423 + 0.0144 = 0.1692 \)[/tex]
Thus, Mark should pay $0.1692 for one draw.
How many pentagons can be drawn by joining the vertices of a polygon with 10 sides?
Solve the equation for y
3x+y=10
Write a function for the area of a triangle with a base 3 cm greater than 5 times it’s height. What is the area of the triangle when it’s height is 6 cm
Find the slope of the line.
Determine whether two parallel lines that go along the sideline of a field and the center bar of the top-goal post of the soccer net are parallel lines, skew lines, neither, or there is not enough information.
The larger of two numbers is 10 less than 5 times the smaller.their sum is 146 .find the smaller number
Calculate the volume of the following shapes. Use the approximation of pi.
1) A sphere with a radius of 4.5 cm
2) A cylinder with a radius of 2.1 cm and a height of 8.0 cm
3) A cone with a radius of 8.0 cm and a height of 2.0 cm
Please explain your work!
Two circles are concentric if they have the same center.
What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
Answer:
(–5, –6)Step-by-step explanation:
The given function is a transformation of the base function [tex]y=|x|[/tex].
We can observe that was added 5 units to the x, that is, a negative translation through the horizontal axis. So, our function is located at x = -5, because a horizontal translation to the left is when we add to the x certain units.
Then, we observe that the function subtracted 6 units to the vertical variable, that is, the function is translated 6 units downside.
Therefore, our functions is locate in (-5;-6), it starts there, which is the vertex.
multiply each equation by a number that produces opposite coefficients for x or y
1x-1y=100
3/8x + 7/8y= 2000
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}1x-1y=100&\text{multiply both sides by (-3)}\\\dfrac{3}{8}x+\dfrac{7}{8}y=2000&\text{multiply both sides by 8}\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+3y=-300\\3x+7y=1600\end{array}\right\\\\\text{or}\\\\\left\{\begin{array}{ccc}1x-1y=100&\text{multiply both sides by 7}\\\dfrac{3}{8}x+\dfrac{7}{8}y=2000&\text{multiply both sides by 8}\end{array}\right\\\\\left\{\begin{array}{ccc}7x-7y=700\\3x+7y=1600\end{array}\right[/tex]
Answer:
1st option is: -3
2nd option is: 8
Step-by-step explanation: I just did the assessment on edge
Which is the measure of one interior angle of a regular triangle?
Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. the company pays $55 a day for food and lodging and $0.45 for each mile traveled. rita drove 300 miles and was reimbursed $2,335. part
a.create an equation that will determine the number of days x on the trip part
b.solve this equation justifying each step with an algebraic property of equality. part
c.how many days did rita spend on this trip? (1 point)
PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NEEDS TO BE SOLVED WITH ALGEBRA 2 MEATHOD!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 1/m = m - 34/ 2m^2
Four balls of wool will make 8 kintte caps.how many balls of wool will ola need if she wants to make 6 caps
324 calories in a 3-ounce serving in a unit rate
The unit rate of 324 calories in a 3-ounce serving is
108 calories per 1 ounce.
Given,
There are 324 calories in 3 ounce
We need to find the unit rate which means how many calories in one ounce.
We have,
In 3 ounces there are 324 calories.
We can write it as,
3 ounce = 324 calories
Dividing both sides by 3,
We get,
1 ounce = 324 / 3
1 ounce = 108
So,
In 1 ounce we have 108 calories.
This is our unit rate.
Thus the unit rate of 324 calories in a 3-ounce serving is 108 calories per 1 ounce.
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multiply each equation by a number that produces opposite coefficient for x or y 4x +5y =7
3x-2y=-12
Final answer:
To produce opposite coefficients for x and y in the given equations, we can multiply the first equation by -3 and the second equation by 4. This allows us to eliminate the x variable and solve for y. The solution to the system of equations is x = -2 and y = 3.
Explanation:
To multiply each equation by a number that produces opposite coefficients for x or y, you need to find a number that, when multiplied by the coefficient, results in a value with the opposite sign. For example, if the coefficient is positive, you need to multiply by a negative number, and if the coefficient is negative, you need to multiply by a positive number.
In the given equations, we have:
4x + 5y = 7
3x - 2y = -12
To produce opposite coefficients for x, we can multiply the first equation by -3 and the second equation by 4. This gives us:
-12x - 15y = -21
12x - 8y = -48
Now, we can add these two new equations to eliminate the x variable:
-12x - 15y + 12x - 8y = -21 + (-48)
-23y = -69
To solve for y, we divide both sides of the equation by -23:
y = -69 / -23
y = 3
Now, we can substitute this value of y back into one of the original equations (let's use the first equation) to solve for x:
4x + 5(3) = 7
4x + 15 = 7
4x = 7 - 15
4x = -8
x = -8 / 4
x = -2
Therefore, the solution to the system of equations is x = -2 and y = 3.
What are the next two numbers in this pattern? 5, â30, 180, â1080, . . ?
This year, 450 students are graduating from Big Lake High School. Of the graduates, 68% plan to go to college next year, and 14% plan to start working. The rest of the students do not know what they are going to do yet. How many students are not sure what they are going to do after graduating from high school? 63 students
What is 8.61×10−88.61×10−8 in decimal form? 0.000000861 0.0000000861 8,610,000 861,000,000?
A person boards the loading station of a Ferris wheel 21 feet off the ground. The wheel is always rotating at a constant rate. He wants to ride all day. Forty minutes after the wheel opened , he is at the highest point on the wheel, 443 feet high. He is at the exact same location 28 minutes later. The question is the generate 5 points which represent elapsed time and height? X elapsed time(minutes) Y height(feet)
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 +9x - 14 =0
How much is 5lbs to kg?
1 pound = 0.453592 kg
5 x 0.453592 = 2.26796 kg
round to 2.27 kg
So my mind went blank here, however im paying 30 points for doing it step by step, thanks in advance! And it's also two questions so I'll bud in a 10 extra point for doing the second step by step.
Mr.Lander wants to buy new lab goggles that cost $31.50. He has $4.50 and plans to save $2.25 each week. How many weeks will it take him to save the money?
A. 14 weeks C. 11 weeks
B. 12 weeks D. 10 weeks
(step by step!)
Also this one,
-2(p-1) = 15
A: 13/2 B: 8
C: All real numbers D: -13/2
( step by step!)
Thank you, ill do 65 points instead!
1.
2.25x+4.50 = 31.50
2.25x = 27
x = 27 / 2.25 = 12
Answer is B 12 weeks
2.
-2(p-1) =15
-2p +2 = 15
-2p =13
p = 13 / -2 = -13/2
Answer is D -13/2
a.Write an inequality that represents the fact that while making your productyou can’t exceed this spending limit.
b.Solve this inequality and graph the solution on a number line. Explain whatyour solution means in terms of the situation.
c.In Task 1 you determined how much you will charge for each item. Write anequation that represents your total earnings based on the price of your itemand how many you sell.
d.Using your answer from part B and your equation from part C, what is themost money you can hope to earn from your business?
e.Don’t forget that at the beginning of the process you had to spend some ofyour own money to get started. With the costs taken into account, what wasyour total profit? Did you make money or lose money? Now that you havethese values, would you adjust your business plan from Task
THIS IS WHAT HAVE FOR TASK 1:Here at CeCe`s NeckIace am willing to invest $150 in this business. b. I am going to make and sell necklace’s. They are easy and quick to make, are worn by everyone, and are also fairly popular. It will cost me about 25 dollars to make 40 necklace`s, which is about 2 dolllars (1.6) per necklace. c. I will be able to profit from them because the amount that I will end up selling will be more than the amount I end up spending and investing.
The inequality 1.6n ≤ 150 represents the max number of necklaces you can make within budget. Solving this gives n ≤ 93.75, meaning you can sell up to 93 necklaces. Total earnings are represented by E = np. The maximum earnings are 93p. Profit is calculated by deducting costs from earnings.
Explanation:For (a) given that the initial investment is $150 and the cost per necklace is $1.6, the number of necklaces you can make without exceeding this limit is represented by the inequality 1.6n ≤ 150, where n represents the number of necklaces.
For (b), to find the maximum number of necklaces you can make, divide the total investment by the cost per necklace. Solve the inequality 1.6n ≤ 150 by dividing both sides by 1.6: n ≤ 93.75. This means you can make and sell up to 93 necklaces without exceeding your investment. To graph this, draw a number line and mark a closed circle at 93 to indicate that this value is included in the solution.
For (c), if you let p be the price at which you sell each necklace, your total earnings will be represented as E = np, where E stands for earnings.
For (d), substituting n ≤ 93.75 into E = np, the maximum you can hope to earn is 93p.
For (e), the total profit will be E - $150 (initial investment) - $1.6n (cost of necklaces). This would lead to either making a profit or loss. The profit or loss would then be used in adjusting your business plans.
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The weights of laboratory cockroaches follow a normal distribution with mean 80 grams and standard deviation 2 grams. about what percent of the cockroaches have weights between 76 and 84 grams?
Answer:
95%
Step-by-step explanation:
0.68% per cent of the cockroaches have weights between 76 and 84 grams.
Given that, the weights of laboratory cockroaches follow a normal distribution with mean 80 grams and a standard deviation 2 grams.
We need to find out what per cent of the cockroaches have weights between 76 and 84 grams.
What is the standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
First of all let's find the z-score which is given by the formula;
z = (x' - μ)/σ
From the question, mean= μ = 80 g and standard deviation; σ = 2 g
Test score; x' = 85 g
Thus;
z = (83 - 80)/2
z = 3/2
z = 1.5
From the z-distribution table attached, at z = 1.5, the probability is:
P(z > 1.5) = 1 - 0.9932 = 0.0068 or 0.68%
Therefore, 0.68% per cent of the cockroaches have weights between 76 and 84 grams.
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Beliefs to the left of center emphasize the need for
Membership for the alpine rock-climbing gym costs $25 per month plus a $125 sign-up fee. Membership for Rocco’s rock-climbing gym costs $30 per month plus a $50 sign-up fee. A. After how many months will the memberships cost the same? B. If you only wanted a one-year membership, which gym would you join to pay the least amount of money?
After [tex]15[/tex] months memberships will cost the same.
What is membership ?Memberships means that you are the member of any specific group.
We have,
Cost of Membership of Alpine Rock-Climbing gym [tex]=\$25[/tex] per month
And, Cost of sign-up fee of Alpine Rock-Climbing gym [tex]=\$125[/tex]
And,
Cost of Membership of Rocco’s Rock-Climbing gym [tex]=\$30[/tex] per month
And, Cost of sign-up fee of Rocco’s Rock-Climbing gym [tex]=\$50[/tex]
Now,
Let number of months [tex]=m[/tex]
So,
According to the question;
[tex]125+25m=50+30m[/tex]
⇒ [tex]5m=75[/tex]
[tex]m=15[/tex]
So, After [tex]15[/tex] months memberships will cost the same.
B.You should join Rocco’s Rock-Climbing gym to pay the least amount of money in a year.
We have,
One year = [tex]12 months[/tex]
So,
Total cost of one year of Alpine Rock-Climbing gym [tex]=125+25m[/tex]
[tex]=125+25*12[/tex]
[tex]=\$425[/tex]
Total cost of one year of Rocco’s Rock-Climbing gym[tex]=50+30m[/tex]
[tex]=50+30*12[/tex]
[tex]=\$410[/tex]
So, Rocco’s Rock-Climbing gym is cheaper than Alpine Rock-Climbing gym.
Hence, we can say that you should join Rocco’s Rock-Climbing gym to pay the least amount of money in a year.
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Please helpppp I really need help on this