Answer:
Option A
Step-by-step explanation:
A probability distribution of a statistic that represents a large sample derived from a certain specific population size to determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a sampling distribution
Hence, option A is correct
Which graph represents the equation (x – 3)2 + y2 = 16?
Answer:
It is B on edge
Step-by-step explanation:
: If Newton Manufacturers has an accounts receivable turnover of 4.8 times and net sales of $7,812,379, what would its receivables be?
Answer:
$1,627,579
Step-by-step explanation:
Given that
The account receivable turnover is 4.8 times
And, the net sales is $7,812,379
We need to find out the receivable
So as we know that
accounts receivable turnover = net sales ÷ average accounts receivables
Therefore the accounts receivables is
= ($7,812,379 ÷ 4.8)
= $1,627,578.96
= $1,627,579
Simplify the expression
2(6x + 3)
Determine the slope of the line passing through (4, -2) and (7, 10).
Answer:
4
Step-by-step explanation:
To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.
The formula is (y²-y¹)/(x²-x¹).
So we just plug in the coordinates.
(10-(-2))/(7-4)
(10+2)/(7-4)
12/3
4
So the slope is 4.
---
hope it helps
The slope of the line passing through (4, -2) and (7, 10) is,
⇒ m = 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Two points on the line are (4, -2) and (7, 10).
Since, The equation of line passes through the points (4, -2) and (7, 10).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (10 - (-2)) / (7 - 4)
m = 12 / 3
m = 4
Thus, The slope of line = 4
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Convert 15meter to 5kilometer
Answer:
Step-by-step explanation:
1 m =0.001 km
15m=15*0.001
=0.015 km
Determine the missing angle in the picture below.
Answer:
x =41.18114952
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
We know the hypotenuse and adjacent sides
cos theta = adjacent / hypotenuse
cos x = 14.3/19
taking the inverse cos of each side
cos^-1 (cos x) = cos ^-1 ( 14.3/19)
x =41.18114952
Answer:
Step-by-step explanation:
take x degree as reference angle
using cos rule
cos x=adjacent/hypotenuse
cos x=14.3/19
cos x=0.75
x=cos 41
x= 41 degree
]This problem is for my math class
Solve the inequality below
6x - 5 < 55
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
If f(x)=5^x+2x and g(x)=3x-6
find (f+g)(x)
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
45-45-90 Right Triangles! Can somebody please help me? ASAP!!
Answer:
Step-by-step explanation:
45-45-90 triangles always have the same relationships
leg = x, hypotenuse = x√2
If you have the leg length multiply it by √2 to get the hypotenuse
hypotenuse = x, Leg = x/√2
If you have the hypotenuse length divide it by √2 to get the leg
-----------------------
7)
leg = 3√2 / 2
hyp = 3√2 / 2 * √2 = 3
8)
leg = 5√2
hyp = 5√2 *√2 = 10
9)
hyp = 2
leg = 2 / √2 = √2
10)
leg = 13√2 / 2
hyp = 13√2 / 2 * √2 = 13
11)
leg = 3√3
hyp = 3√3 * √2 = 3√6
12)
leg = 12
hyp = 12√2
pls help alot of points
Answer:
the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.
so
none of the above.
Answer:
d
Step-by-step explanation:
none of the above
PLEASE HELP ASAP Use the figure to complete the following trigonometric ratios.
Answer:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Need some help on this
9514 1404 393
Answer:
a. set 1: 29 minutes; set 2: 25 minutes
b. set 1 is more challenging than set 2
Step-by-step explanation:
a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...
(2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes
For set 2, that is ...
(4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes
__
b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...
set 1 is more challenging than set 2
A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? Use the table to help.
Answer: 12 cups of flour
Step-by-step explanation:
12 cups of flour 3 + 3 + 3 + 3 = 12 because I have to make 96 cupcakes for tomorrow.
The amount of flour required will be 8 x 1.5 = 12 cups of flour. Option A is correct.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour (since 2 dozen cupcakes = 2 x 1.5 = 3 cups of flour).
To make 96 cupcakes, Sally needs 8 dozen cupcakes (since 8 x 12 = 96). Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.
So, the answer is 12 cups of flour, and the explanation should be:
To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour. To make 96 cupcakes, Sally needs 8 dozen cupcakes.
Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.
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Given a box of 8 color crayons (Red, Blue, Green, Orange, Yellow, Brown, Black, Purple). If I remove a single crayon randomly, and without putting it back in the box, I remove a second crayon randomly, what is the probability that I will remove the Red and the Green crayon from the box
Answer: 1/56
Step-by-step explanation:
Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.
This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.
Therefore, the probability that I will remove the Red and the Green crayon from the box will be:
= 1/8 × 1/7
= 1/56
Write the meaning of each algebraic expression. Then, evaluate the algebraic expression for the given value.
5x - 4 If x=3
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.
5x−4x=3
Step 1: Simplify both sides of the equation.
5x−4x=3
5x+−4x=3
(5x+−4x)=3(Combine Like Terms)
x=3
x=3
Answer:
x=3
A = 7x2 - 3x + 10
B = -4x2 + 6x - 4
A - B =
Your answer should be a polynomial in standard form.
Answer:
A - B = 11x² -9x + 14
A - B = 11x² -9x + 14
If you have $100 and then lose $25 what is the percent change
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The lost percentage is 25%
The percentage remaining is 75%
ThanksThanksHope it helpsHELP
Which equation has no real solution A. B2 + 3b = -3
B. 2c2 + 4c = 9
C. -5c2 – c= -2
D.7g +1 + 3g2 = 0
Answer:
A.
[tex] {b}^{2} + 3b - 3 = 0[/tex]
Step-by-step explanation:
[tex] {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac[/tex]
A town recently dismissed 88 employees in order to meet their new budget reductions. The town had 77 employees over 5050 years of age and 1717 under 5050. If the dismissed employees were selected at random, what is the probability that at least 66 employees were over 5050? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.0013 probability that at least 6 employees were over 50.
Step-by-step explanation:
The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
8 employees dismissed means that [tex]n = 8[/tex]
Had 7 + 17 = 24 employees, which means that [tex]N = 24[/tex]
7 over 50, which means that [tex]k = 7[/tex]
What is the probability that at least 6 employees were over 50?
6 or 7, so:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex].
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013[/tex]
[tex]P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013[/tex]
0.0013 probability that at least 6 employees were over 50.
solve for x:
x + 2 1/3 = 3 1/5
x-2 2/3 = 5/6
Find the median and mean of the data set below:
25, 13, 6, 4,2
Answer: im sorry but there is nothing here to help? may you add a picture? or something file maybe?
Step-by-step explanation:
Estimate the given product 61 x 47 =
5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
Answer:
$11.50
Step-by-step explanation:
Given P(A) = 0.3, P(B) 0.63 and P(BA) = 0.79, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
Answer:
P(A and B) = 0.14.
Step-by-step explanation:
Venn probabilities:
Suppose we have two events, A and B. The probability P(A and B) is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
In this question:
P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14[/tex]
So
P(A and B) = 0.14.
Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *
Answer:
1710
Step-by-step explanation:
you will multiply 1500 euros by the exchange rate
Question 20
Josh says that has the same quotient as Is this true or false?
O True
O False
You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346
Answer:
Future value of land = 25,000[1.04]³⁰
Future value of land = $81,084 (Approx.)
Step-by-step explanation:
Given:
Purchase cost of land in 1970 = $25,000
Application rate = 4% per year
Find:
Price of land in 2000
Computation:
Number of year = 2000 - 1970 = 30 year
Future value of land = [Purchase cost of land][1+Application rate]ⁿ
F = P[1+r]ⁿ
Future value of land = 25,000[1+4%]³⁰
Future value of land = 25,000[1+0.04]³⁰
Future value of land = 25,000[1.04]³⁰
Future value of land = 25,000[3.24339]
Future value of land = 81,084.75
Future value of land = $81,084 (Approx.)
Mary’s bedroom rug is shown below. Find the perimeter and area of the rug.
I need help on this question
Answer:
A
Step-by-step explanation:
A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answer:
15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Step-by-step explanation: 15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet