The frequency of each drink in the statistics class can be found to be :
Sprite - 6 Dr Pepper - 5Coke - 11Mtn Dew - 1 Pepsi - 7 How to find the frequency ?The frequency of something refers to the number of times that thing happens. In this case, it therefore means the number of students who prefer a certain drink over the other ones.
From the table, the number of students who chose Sprite was 6 students. 5 students chose Dr Pepper and 11 students chose Coke. Then only a single student chose Mtn Dew while 7 students chose Pepsi.
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paula bought an electric drill at 75% of the regular price.She paid 32.90 for the drill. What was the regular price?(round to the nearest cent)
Answer:
$43.87.
Step-by-step explanation:
let the regular price be x, then
0.75x = 32.9
x = 32.9 / 0.75 = $43.87
Answer:
43.87
Step-by-step explanation:
Let the regular price be T
T x 75% = 32.903T/4 = 32.903T = 4 x 32.903T = 131.60T = 43.87What is the value of the expression (2/5+2/5)×3/10?
HELP
\(( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10} \)
\( \frac{4}{5} \times \frac{3}{10} \)
\( \frac{6}{25} \)
Decimal Form:
\(0.24\)
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16 In which direction and by how many units should f(x) be shifted to obtain g(x)? (1 point) Left by 4 units Right by 4 units Left by 8 units Right by 8 units
Answer: left 4 units
Step-by-step explanation: use the formula -b/2a to find the new x value. Or use a graphing calculator and compare the position of g(x) to f(x)
Answer:
Answer: left 4 units
Step-by-step explanation:
Compute z-score. Given ~ n(12,2.5),find z score when x =17
Answer:
The desired z-score is 2.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n(12,2.5)
This means that \(\mu = 12, \sigma = 2.5\)
z score when x =17
This is Z when X = 17. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{17 - 12}{2.5}\)
\(Z = 2\)
The desired z-score is 2.
help me figure this out
can someone help me on this math problem please
Answer:
Step-by-step explanation:
The answer for hypotenuse is 10 cm
The answer for area is 24 cm^2
what makes the equation true -3 y = 18. A. y = 54 B. y = -54 C. y = 6 D y = -6
Answer:
D
Step-by-step explanation:
-3y=18
divide each side by -3
y=-6
I hope this is correct and have a great day
Answer:what makes the equation true -3 y = 18. A. y = 54 B. y = -54 C. y = 6 D y = -6
Step-by-step explanation:
When y = 24, x = 3
Find y when x = 4
Answer:
y=32
Step-by-step explanation:
The relationship between the value of x and y is multiplying by 8, therefore when x equals 4, y equals 32.
A cheerful teen willing to help,
listening to "Rise Up,"
stay salty...
Answer:
32
Step-by-step explanation:
simplify 24/3 = 8 then (24 / 4) * (2) = 48/8 = 6 = 6/8 = 3/4 we need to divide 24 by 3/4 = 32 or show 24 * 3/4 = 32 32 * 3/4 = 24
Which expression is equivalent to log Subscript c Baseline StartFraction x squared minus 1 Over 5 x EndFraction?
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
The equivalent expression of \(\log_c(\frac{x^2 - 1}{5x})\) is \(\log_c(x^2 - 1) - \log_c(5x)\)
How to determine the equivalent expression?The logarithmic expression is given as:
\(\log_c(\frac{x^2 - 1}{5x})\)
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
\(\log_c(\frac{x^2 - 1}{5x}) = \log_c(x^2 - 1) - \log_c(5x)\)
Hence, the equivalent expression of \(\log_c(\frac{x^2 - 1}{5x})\) is \(\log_c(x^2 - 1) - \log_c(5x)\)
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given the function f(x)=logbase2(X), find the y-intercept of g(x) = f(x+4)+8
The y-intercept of f(x + 4) + 8 is given as follows:
10.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
\(f(x) = \log_2{x}\)
The translated function is then given as follows:
\(g(x) = \log_2{x + 4} + 8\)
The y-intercept of the function is the numeric value at x = 0, hence:
\(g(0) = \log_2{0 + 4} + 8\)
g(0) = 2 + 8 = 10.
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The angle formed between one side and another, always less than 180 degrees.
Answer:obtuse angle
Step-by-step explanation:
An obtuse angle is an angle of greater than 90° and less than 180°. It is bigger than an acute angle. It is smaller than a straight angle, which measures 180°. Angles are measured with a protractor obtuse angle is specifically present in hexagon and pentagon and others.
find the missing side. round your answer to the nearest tenth
Answer:
60.6
Step-by-step explanation:
tan(theta) = P/B
tan(24) = 27/x, x=27/tan(24)=60.6
What are the integers from least to greatest 5,-6,12, -1, -7, 0,8
Answer:
-7, -6, -1, 0,5, 8, 12
Step-by-step explanation:
anything that is negaitive is less than 0
Hope it helps! :)
Which description matches the algebraic expression 45 n?
the sum of a number and 45
the quotient of a number and 45
the product of a number and 45
the difference of a number and 45
Answer:
The product of a number and 45
Step-by-step explanation:
Answer:
the product of a number and 45
Step-by-step explanation:
i just finished the quiz
What is the least common multiple of 41 and 50?
PLEASE HELP ME!!!!!!!
Answer:
2050
Step-by-step explanation:
Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?
Answer:
25:1
Step-by-step explanation:
Pools:hours25:1I hope this helps!
Answer:
2:6
Step-by-step explanation:
fist eufhuh rhbgr ncv u;hkjfn.jfmncmghlwirgihu
solve for the coefficient -5=a(0-2)(0-3)(0-5)
Answer:
a = 1/6
Step-by-step explanation:
-5=a(0-2)(0-3)(0-5)
Simplify
-5=a(-2)(-3)(-5)
-5 = a(-30)
Divide each side by -30
-5/-30 = -30a/-30
1/6 =a
Answer:
1/6
Step-by-step explanation:
6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Drag each solution to the correct location on the table. Each solution can be used more than once, but not all solutions will be used.
Determine the solutions to each of the given quadratic equations.
(3x + 8)(3x + 8) = 0
(3x-8)(3x + 8) = 0
x(3x - 8) = 0
(3x-8)(3x - 8) = 0
= -8
Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. (3x + 8)(3x + 8) = 0
3x + 8 = 0 or 3x + 8 = 0
3x = –8 or 3x = –8
x = –8/3 or –8/3
2. (3x – 8)(3x + 8) = 0
3x – 8 = 0 or 3x + 8 = 0
3x = 8 or 3x = –8
x = 8/3 or –8/3
3. x(3x – 8) = 0
x = 0 or 3x – 8 = 0
x = 0 or 3x = 8
x = 0 or 8/3
4. (3x – 8)(3x – 8) = 0
3x – 8 = 0 or 3x – 8 = 0
3x = 8 or 3x = 8
x = 8/3 or 8/3
In need of help! please help me i been stuck on this
Answer:
TrueFalseFalseTrueFalsePlease mark as Brainliest ;)
the sum of emma and carsons age is 4 more than half there dads age
Answer: Let's call the present age of Emma x, the present age of Carson y, and the present age of their dad z.
From the information provided we know that:
x + y = (1/2)z + 4
We can find the value of z by isolating it:
x + y = (1/2)z + 4
x + y + 4 = (1/2)z + 4 + 4
x + y + 4 = (1/2)z + 8
2(x + y + 4) = z
We don't know the actual age of Emma, Carson and their dad, we only know the relationship between them.
Step-by-step explanation:
Help me asap pls!!! Thank you!
Factor by grouping.
8y2 + y + 40y + 5
A fair spinner has 11 equal sections: 3 red, 4 blue and 4 green. It is spun twice. What is the probability of getting the same colour twice?
Answer:
The probability of getting the same colour twice is approximately 34%.
Step-by-step explanation:
The probability of getting each color is:
P(x=red) = 3/11 P(x=blue) = 4/11P(x=green) = 4/11Then, we can calculate the probability of getting the color red twice as:
\(P(x_1=R;x_2=R)=P(x=R)^2=(3/11)^2=9/121\)
We have to repeat this for the color blue and green:
\(P(x_1=B;x_2=B)=P(x=B)^2=(4/11)^2=16/121\\\\P(x_1=G;x_2=G)=P(x=G)^2=(4/11)^2=16/121\)
Then, the probability of getting the same color twice in two spins can be calculated as:
\(P=P(x_1=R;x_2=R)+P(x_1=B;x_2=B)+P(x_1=G;x_2=G)=\\\\P=9/121+16/121+16/121\\\\P=41/121\approx0.34\)
Approximately how much interest will accrue before next month's bill if Jill owes $4,500
on her credit card and it charges 21 percent annually?
Answer:78.75
Step-by-step explanation:21 percent of 4500 945 divided my 12 which is 78.75
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
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