Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Amy has scored 77, 87, and 74 on her previous three tests. What score does she need on her next test so that her average (mean) is 76?
After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.
To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4
Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66
So, Amy needs to score a 66 on her next test in order to have an average of 76.
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What is the solution set for the inequality
Answer:
A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.
if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).
practical examples of hypothesis testing may involve comparing two populations for differences in all except:
a. means
b. population parameters
c. alpha levels
d. proportions
Answer: Option C (Alpha levels)
Step-by-step explanation:
Drew rolls two number cubes 75 times. Is it likely that she will get a sum of 3 more than 5 times?
Answer:
Yes, She is
Step-by-step explanation:
There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150
Select all the correct answers.
Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?
A; w = 52h
B; w = 26h
C; 1/26w=h
D; 1/52w=h
Answer:
A; w = 52h
A; w = 52h
B; w = 26h
C; 1/26w=h
D; 1/52w=h
Answer:
w=52h and 1/52w=h
Step-by-step explanation:
Sewing patterns recommend buying extra fabric in case of mistakes.
Jessica bought 8 yards of fabric, plus 15% extra fabric. Derek bought 4
yards of fabric, plus 20% extra. Who bought more fabric? How much
more?
Jessica bought 4.4 yards of fabric more.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.
Jessica :
8 yards of fabric
15% of 8 = (15/100)*8 = 1.2
Total fabric = 8 + 1.2 = 9.2 yards
Derek :
4 yards of fabric
20% of 4 = (20/100)*4 = 0.8
Total fabric = 4 + 0.8 = 4.8 yards
Jessica bought more fabric .
9.2 - 4.8 = 4.4 yards of fabric more
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Can some please help me work this problem. TIA
Answer:
the question is what problem
Step-by-step explanation:
A 3-column table with 5 rows. the first column is labeled state with entries florida, michigan, new york, california, texas. the second column is labeled republican primary with entries 12.8%, 16.5%, 1.4%, 22.9%, 12.8%. the third column is labeled general election with entries 63.5%, 64.7%, 53.1%, 55.2%, 49.7%. look at the table. what information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections? the year in which this election took place the candidates running for president the percentage of democratic primary voters the states of new jersey and arizona
Answer:
Percentage of Democratic primary voters
Step-by-step explanation:
Answer: C (the percentage of democratic primary voters)
Step-by-step explanation: took the test on edge
PLEASE HELP
The regular price on a pair of jeans is $54.
The store advertises a back-to-school sale at 40% off the regular price of the jeans.
Two weeks later, the store advertises a sale at an additional off the sale price of
these jeans.
5
Two friends decide to purchase the jeans. Shannon says that the jeans are now 60%
off the regular price. Mary disagrees because she figures that the total discount is actually
less than 60%.
1. What is the cost of the jeans at the back-to-school sale?
2. What is the cost of the jeans dufing the additional " off sale? Justify your reasoning.
3. Shannon says, Calculating 86/9P isthe same as calculating A0% of, then 20% off of the new price:
Mary Disagrees and says, "Calculating 40% off, then 20% off is NOT the same as calculating 60% off."
Who do you agree with and why? Defend your argument with mathematical reasoning.
We can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.
Original price -
$54
Cost after 40% discount -
54 - {40% of 54}
54 - {40/100 x 54}
54 - {2/5 x 54}
54 - 21.6
$32.4
Cost after 5% discount -
32.4 - {5% of 32.4}
32.4 - {5/100 x 32.4}
32.4 - 1.62
$30.78
{ 3 } -
Calculating 60% of new price -
60% of 30.78
(60/100) x 30.78
18.5
Calculating 40% of new price -
40% of 30.78
(40/100) x 30.78
12.4
So, 60% of new price is greater than calculating 40%.
So, Manny is correct.
Therefore, we can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.To solve more questions on functions & expressions, visit the link below
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Find a set of parametric equations for the rectangular equation that satisfies the given condition. (Enter your answers as a comma-separated list.) y = 3x - 4, t = 0 at the point (4, 8)
To find the set of parametric equations for the rectangular equation y = 3x - 4, we need to express x and y in terms of a parameter, say t. Let us assume that t = 0 at the point (4, 8).
First, we can write x in terms of t as x = 4 + at, where a is some constant. To find the value of a, we can use the fact that y = 3x - 4. Substituting x = 4 + at in this equation, we get y = 3(4 + at) - 4 = 12 + 3at. So, the set of parametric equations for y and x are:
x = 4 + at
y = 12 + 3at
Note that these parametric equations are not unique. We could have chosen a different parameterization, say t = 1 at the point (4,8), and obtained a different set of parametric equations. However, the given condition specifies the starting point and therefore determines the parameterization.
In summary, we can find a set of parametric equations for a rectangular equation by expressing x and y in terms of a parameter, using the given condition to determine the starting point, and choosing a suitable parameterization.
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64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2
The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216
How to solve the given equationGiven data
64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2
Rewriting gives:
( 64^1/2 x 27000^2/3 ) / ( 2^-4 x 3^0 x 5^2 )
the solution; we first note that
64^1/2 = √64 = 8
27000^2/3 = ∛27000^2 = 900
3^0 = 1
2^-4 = 1 / 2^4 = 1 / 32
5^2 = 25
substituting gives:
= ( 8 * 900 ) / ( 1/32 * 1 * 25)
= 7200 / 25/32
= 7200/25 * 32
= 288 * 32
= 9216
The equation (64^1/2 x 27000^2/3 all over2^-4 x 3^0 x 5^2) is solved to be 9216
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You walk 2 miles in 1/2 hourAt that rale, how long will it take you to walk 3 miles?
Answer: First, calculate for the rate at which you walk by dividing the distance by time in the first set of given. This gives us the rate of 4 miles/hour. To determine the time it takes to walk 3 miles, divide 3 by 4 which gives us 0.75 hours or 45 minutes.
Step-by-step explanation:
There are 11 pens in a box.
8 are black and 3 are red.
Two pens are taken out at random without replacement.
Work out the probability that the two pens are the same colour.
Answer:
0.563 chance that 2 pens of the same color are chosen.
Step-by-step explanation:
8/11 - amount of original black pens multiplied by
7/10 - black oens left in box +
3/11 -overall amount of red pens - multiplied by
2/10 - pens left in box
Answer:
2/11
Step-by-step explanation:
it becuase when u take 2 pens of the same color you have the 11 pens in total and when u take 2 pens you do the answer over 11 and simplfy if needed
The blank school fall play was in October 2019. On the first day the school sold 15 student tickets and 10 adult tickets. They made $145. On the second day they made $203 and sold 21 student tickets and 14 adult tickets. How much was an adult ticket? How much was a student ticket?
ANSWER:
STEP-BY-STEP EXPLANATION:
With the information in the statement we can propose the following system of equations: Let x be the ticket value for students and y value the ticket for adults.
\(\begin{gathered} 15x+10y=145\text{ (1)} \\ 21x+14y=203\text{ (2)} \end{gathered}\)Solving x in (1)
\(\begin{gathered} 15x=145-10y \\ x=\frac{145}{15}-\frac{10}{15}y \\ x=\frac{29}{3}-\frac{2}{3}y\text{ (3)} \end{gathered}\)Replacing (3) in (2):
\(undefined\)Evaluate the expression:
6² x (16 +19) — 10³
36×(35)-1000=1260-1000=260
An inequality is shown.
3 < x < 4
Which value of x does not make the inequality true?
A. 15−−√
A. , the square root of 15,
B. 3.3
B. , 3.3, , ,
C. 145
C. , 14 over 5, , ,
D. 12−−√
Answer:
A. the square root of 15
Step-by-step explanation:
I'm not sure
Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
PLS HELP I NEED THIS DONE ASAP AND IT IWLL MEAN ALOT AND ILL MAKRK U AS BRAINLIST ITS 6TH GRADE GEOGRAPHY
Answer:
The area of the shaded polygon is 31 square units.
Step-by-step explanation:
The procedure to calculate the area of the shaded irregular polygon is described below:
1) Calculate the area of the initial rectangle.
2) Calculate the areas of the four triangles.
3) Subtract the areas of the four triangles from the initial triangle.
\(A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}\)
\(A = 31\)
The area of the shaded polygon is 31 square units.
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You have six pizza toppings. How many different 3-topping pizzas can you make?
20
24
120
30
20 different pizzas
==========================================================
Explanation:
Consider 3 slots to fill. I'll label them slot A, B, C.
There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.
There would be 6*5*4 = 30*4 = 120 permutations if order mattered.
However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)
We get 120/6 = 20 as the final answer
---------------------
Alternatively, you can use the nCr combination formula following these steps.
n C r = (n!)/(r!(n-r)!)
6 C 3 = (6!)/(3!*(6-3)!)
6 C 3 = (6!)/(3!*3!)
6 C 3 = (6*5*4*3!)/(3!*3!)
6 C 3 = (6*5*4)/(3!)
6 C 3 = (6*5*4)/(3*2*1)
6 C 3 = (120)/(6)
6 C 3 = 20 different pizzas possible
As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.
---------------------
Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20
Part A
MONEY Samir plan to buy a new video game ytem which will cot at leat $450. He earn $6 per hour babyitting and $10 per hour tutoring. Let x be the number of hour babyitting and y be the number of hour tutoring. Part A Select the inequality that repreent the number of hour Samir could work to earn enough to buy the game ytem. Part A
Select the inequality that repreent the number of hour Samir could work to earn enough to buy the game ytem. A) y≥ − 0. 6x 45
B) y ≥ − 123x 75
C) y > 123x − 75
D) y > 6x 10
Answer:
Step-by-step explanation:
The required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system. which is the correct answer would be an option (A).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The video game system will cost at least $450.
He earns $6 per hour babysitting and $10 per hour tutoring.
Let x be the number of hours babysitting and y be the number of hours of tutoring.
According to the given situation, we can write the inequality would be as:
⇒ 6x + 10y ≥ 450
Rearrange the terms of variables in the above inequality,
⇒ 10y ≥ 450 - 6x
Divided by 10 into both sides of the above inequality,
⇒ 10y/10 ≥ 450/10 - 6x/10
⇒ y ≥ 45 - 0.6x or
⇒ y ≥ - 0.6x + 45
Thus, the required inequality is y ≥ - 0.6x + 45 which represents the number of hours Samir could work to earn enough to buy the game system.
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One pipe fills a storage pool in 15 hours. A second pipe fills the same pool in 5 hours. When a third pipe is added and all three are used to fill the pool, it takes only 3 hours. Find how long it takes the third pipe to do the job.
Answer:
Given:
time taken by first pipe = 15 hours
time taken by second pipe = 5 hours
time taken by all three pipes together = 3 hours
Solution:work rates of pipes are :
1st pipe = 1/15
2nd pipe = 1/5
3rd pipe = 1/x
all together = 1/3
sum of individual rates = rate when all pipes are working together
1/15 + 1/5 + 1/x = 1/3
1/x = 1/3 - 1/15 - 1/5
solving the equation, we get
1/x = 1/ 15
x= 15
hence, it would take 15 hours for the third pipe to fill the tank.
Question 5 Jay consumes beer, and his demand function for barrel of beer is given by D(p)=100−p, where p is the price of beer in dollars a) If the price of beer is 50 dollars per barrel, how many barrels of beer will he consume? b) How much money does he spend on beer? c) What is his consumer surplus from beer consumption?
a) Jay will consume 50 barrels of beer.b) Jay will spend $2500 on beer.c) Jay's consumer surplus from beer consumption is $1250 where demand function is given.
a) To determine how many barrels of beer Jay will consume at a price of $50 per barrel, we can substitute this price into his demand function:
D(p) = 100 - p
D(50) = 100 - 50
D(50) = 50
Therefore, Jay will consume 50 barrels of beer.
b) To calculate how much money Jay will spend on beer, we multiply the price per barrel by the quantity consumed:
Money spent on beer = Price per barrel * Quantity consumed
Money spent on beer = $50 * 50
Money spent on beer = $2500
Jay will spend $2500 on beer.
c) The consumer surplus represents the difference between the maximum price a consumer is willing to pay and the actual price paid. In this case, Jay's consumer surplus can be calculated by finding the area of the triangle formed by the demand curve and the price axis. Since Jay's demand function is a straight line, the consumer surplus can be calculated as:
Consumer surplus = (1/2) * (Quantity consumed) * (Price per barrel)
Consumer surplus = (1/2) * 50 * $50
Consumer surplus = $1250
Jay's consumer surplus from beer consumption is $1250.
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Giren: Lines a and b
Are perpendicular.
Prove: <3 and <4 are complementary.
Tickets to a museum cost $17 each. For a field trip, the museum offer a $4 discount on each ticket. How much will tickets cost for 32 students cost?
Answer: 416
Step-by-step explanation:
Answer:
416
Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.
I hope this helps!!
A triangle has a base of 4 units and a corresponding height of 12 units. What is its area?
Answer:
24 units^2
Step-by-step explanation:
A=1/2*b*h
A=1/2*4*12=1/2*48=48/2=24
I need your help broskis
a very fast way to do it:
Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.
Therefore, the answer is \(\boxed{4.4 \text{ x }10^9}\)
rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees. Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
Answer:
5 + 10\(\sqrt{3}\)
= 22.3205080757
Step-by-step explanation:
Answer:
≈ 13,7 inches
Step-by-step explanation:
Just use trigonometry (sin or cos) from the right triangles ∆ABC and ∆ADC
mrs peery is sharing 18 biscutes between gemma and zak in the ratio 1:2
Answer:
gemma gets 6 and zac gets 12
Step-by-step explanation:
zac gets double the about
which statement is false about people between the ages of 18 and 25? -Diet and exercise practices tend to improve during this time period.
-Death from disease at this age is rare.
-They go through routine diagnostic tests such as colonoscopies.
-Some people outgrow childhood ailments like asthma at this age.
The false statement is: "They go through routine diagnostic tests such as colonoscopies."
Routine diagnostic tests such as colonoscopies are typically recommended for individuals over the age of 50 as a preventive measure against colon cancer. People between the ages of 18 and 25 are generally not advised to undergo such tests unless they have specific risk factors or symptoms. It is important to note that there may be exceptions in certain cases, but colonoscopies are not typically considered routine for this age group.
On the other hand, the other statements are generally true for people between 18 and 25. Diet and exercise practices tend to improve during this time period as young adults become more conscious of their health and adopt healthier lifestyles. Death from disease is rare at this age due to the overall good health of young adults. Additionally, it is possible for some people to outgrow childhood ailments like asthma as they reach young adulthood, although this varies from person to person.
In summary, while diet and exercise practices tend to improve and death from disease is rare during the ages of 18 to 25, routine diagnostic tests such as colonoscopies are not typically performed during this time period.
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