Step-by-step explanation:
everything is directly proportional, so your are going to do cross muliplication
y= -24/7
Determine whether each relation is a function.
Answer:
Each relation is a function because none of the domain repeats.
2 | + 2 | −3 = 11
in three sentences tell me what is wrong in the steps.
it is two plus two what does it equal?
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
\(H_0: p = 0.87\)
At the alternative hypothesis, it is tested if it has decreased, that is:
\(H_1: p < 0.87\)
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
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Evaluate the algebraic expression 2x + y- z when w = 12, x = 10, 5 and z = 9
Answer:
a
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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what is the solution set to the inequality -4x - 2 ≤ - 14
Answer:
x\(\geq\) 3
Step-by-step explanation:
-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3
I need help with this question -92 ? |29| is it >,< or =
Answer:
<
Step-by-step explanation:
The label on a 1/6
pound bag of seeds states that it will cover an area of 67 square feet. What is the area that one pound of seeds will cover?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
Answer:
0.1791 acres (rounded to 4 decimal places)
Step-by-step explanation:
67 pounds seeds 12 acre, the ratio can be written as:
Pounds : Acres = 67 : 12
Since, we want Acres PER POUND of seed, we need to divide Total Acres (12) by Total Pounds (67).
Note: per "quantity", we always divide by that "quantity".
So, we have:
So, 1 pound of seed cover 0.1791 acres of land (rounded to 4 decimal places for accuracy)
Suppose recent research shows that strawberry consumption can help prevent cancer. Show the effect this research has on the market for strawberries.
Answer:
The demand for strawberry will increase and this will increase the prices of strawberries. The production of strawberry will also rise due to its demand.
Question 2/2
Question 1 Part B (01.02, 01.03 MC): A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of
her goal.
What does the variable in the equation represent? (2 points)
4 of 19
Back
A. Amount the owner needs to sell
B. Price per item
C. Number of items sold
D. Total sales for the month
1 answer(s) selected
Open notes navigator A
A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is
C. Number of items soldWhat is variable in math?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.
Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting
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Eva is saving up to buy a computer.
The computer costs £690
Eva has £429
How much more does Eva need to save?
Answer: £261
Step-by-step explanation: Subtracting 429 from 690 will give you 261 which is the remaining amount needed to purchase the computer.
5. A quiz has eight multiple choice questions with
four options for each (A, B, C, and D). How
many ways are there to answer the
questions?
Answer:
32
Step-by-step explanation:
multiply 8 by 4
3. Compute the nominal annual rate of interest compounded semi-annually on a loan of $48000 repaid in installments of $4000 at the end of every 6 months in 10 years.
Answer:
Rate = 51.74%
Step-by-step explanation:
Principal amount= $48000
Amount paid is done 2 times in a year for ten years
= $4000*2*10
Amount paid= $80000
A= p(1+r/n)^nt
80000= 48000(1+r/20)^(20*10)
(80000/48000)= (1+r/20)^(200)
(200)√(1.6667)= 1+ r/20
1.025870255-1= r/20
0.025870255*20= r
0.5174= r
Rate in decimal= 0.5174
In percentage= 51.74%
I need help with this I need the anwser and if you could give an explanation I would appreciate it
Answer:
x=25
because of similarity of triangles
\( \frac{x}{20} = \frac{15}{12} \)
GF || MN, then <F=<M and <G=<N and we have the similarity of triangles
Which values of x are point(s) of discontinuity for this function? Function x = –4 x = –2 x = 0 x = 2 x = 4
Answer:
x=0 and x=2
Step-by-step explanation:
We need to check at each point where the function changes definition
At x= -2
On the left side -4 on the right side = -( -2)^2 = -4 continuous
At x=0
The point is not defined since neither side has an equals sign
discontinuous
x =2
on the left side 2^2 =4 on the right side 2
It is discontinuous
Answer:
x = 0
x = 2
Step-by-step explanation:
Edge 2020
~theLocoCoco
Elena walked 12 miles and then she walked 1/4 that distance how far did she walk together
Answer:
15 miles
Step-by-step explanation:
1/4 = .25
12 ÷ 4 = 3
12 + 3 = 15
Answer:
12 1/4 miles
Step-by-step explanation:
How many cups are in 6.5 pints?
Answer:
13
Step-by-step explanation:
Answer:
13 cups
Step-by-step explanation:
2 cups = 1 pint
6.5 x 2 = 13
The sum of a number qnd seven is ten. What is the number?
Answer:
3
Step-by-step explanation:
Let's write the statement as an equation and solve for that number.
x+7=10
x=3
Step-by-step explanation:
\(\bold{x + 7 = 10}\)
\( \longmapsto \: x = 10 - 7\)
\( \longmapsto \: 10 - 7 = 3\)
\(\bold{x = 3}\)\(\bold{Hope}\)\(\bold{It}\) \(\bold{Helps!}\)
\(\bold{Study}\)\(\bold{Well}\)~
Simplify 8* (9 + 2 ) - 6 / 2
solution
\(\begin{gathered} 8\times(9+2)-6/2 \\ 8\times(11)-3 \\ 88-3 \\ 85 \end{gathered}\)answer: 85
Factor the expression using the GCF.
16m + 40
Answer:
8(2m+5)
Step-by-step explanation:
GCF: 8
Factor 8 out of 16 and 40 giving you 2 and 5
DON'T FORGET TO CARRY THE M
Find 1 1/10(−6 7/8) . Write your answer as a mixed number in simplest form.
Answer:
\(-5\dfrac{31}{40}\)
Step-by-step explanation:
Convert to improper fractions:
\(1\dfrac{1}{10}-6\dfrac78=\dfrac{1 \times10+1}{10}-\dfrac{6 \times8+7}{8}=\dfrac{11}{10}-\dfrac{55}{8}\)
Make denominators the same:
\(\dfrac{11}{10}-\dfrac{55}{8}=\dfrac{11\times8}{10\times8}-\dfrac{55\times10}{8\times10}=\dfrac{88}{80}-\dfrac{550}{80}\)
Therefore,
\(\dfrac{88}{80}-\dfrac{550}{80}=\dfrac{88-550}{80}=-\dfrac{462}{80}=-\dfrac{231}{40}\)
Convert to mixed number:
\(-\dfrac{231}{40}=-5\dfrac{31}{40}\)
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer
than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answer:
Step-by-step explanation:
d + 2d - 8 = 46
3d - 8 = 46
3d = 54
d = 18
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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find the lateral area of a right pentagonal pyramid where each side of it's base is 4 inches and its slant height is 12 inches
Total surface of a pentagonal pyramid = (5/2)ab + (5/2)bs
Base surface = (5/2)ab
Sides surface = (5/2)bs
Where b is the size of the side, s is the slant height and a is the distance from the center the pentagonal base to the center of one of its sides
Since we have the slant height and the size of each sides, but we don't have "a", we have to calcualte it
The distance "a" can be calculated by:
tan 36° = (b/2)/a ==> a = (b/2)/tan 36° = (4/2)/0.726542528 = 2/0.726542528 = 2.752763841
a = 2.752763841
Now we can calcualte the surface:
Surface = (5/2)ab + (5/2)bs = (5/2) * 2.75 * 4 + (5/2) * 4 * 12 = 27.5 + 120 = 147.5 square inches
Answer:
Total surface = 147.5
Base surface = 27.5
Sides surface = 120
For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x
c = (Type an integer or a decimal)
a = (Type an integer or a decimal)
R = % (Simplify your answer. Type an integer or a decimal)
The parameters of the exponential function in this problem are given as follows:
c = 1.1.a = 0.56.R = -56%.What is an exponential function?The standard format of an exponential function is given as follows:
y = c(1 - a)^t.
This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:
c is the initial value, value assumed by y when t = 0.a is the decay rate.In this problem, the function is given as follows:
f(x) = 1.1(0.44)^x.
Hence the values for the parameters are given as follows:
c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
5 - x divided by 3/4 x = 1/3
Answer:
x = 4
Step-by-step explanation:
(5-x) / (3/4x) = 1/3
multiply both sides by 3/4 x
5-x = 3/12 x add 'x' to both sides of the equation
5 = 15/12 x multiply both sides by 12/15
4 = x
Find the area of the figure. (Sides meet at right angles.)
5 cm
4 cm
A cm
5 cm
5 cm
4 cm
4 cm
Answer:
80 cm²Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Area in this figure will be 80cm².
How to calculate the area of the rectangle?The area of the rectangle can be calculated by the product of length and breadth of the rectangle.
A=l*b
where l is length and b is the breadth.
So according to asked question in the drawn figure,
connect the point B and G.
now this figure will give two rectangle i.e. ABGH and CDEF
Rectangle ABGH has length l=5cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²
Now CF=CB+BG+GF=5+5+5=15
Rectangle CDEF has length l=CF=15cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²
Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF
=20cm²+60cm²
=80cm²
Therefore area in this figure will be 80cm².
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