Hey!
Divide the exponents. 8/4=2
So your answer its D.
Hope this helps!
~~~PicklePoppers~~~A company issues a general knowledge test to its potential employees as part of its recruitment procedures. The company does not invite the lowest scoring 20% back for a second interview. If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17. What mark (to the nearest whole number) must a candidate achieve in order to secure a second interview
Answer:
46
Step-by-step explanation:
Given :
Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8
Mean, m = 60
Standard deviation, s = 17
Zscore = (x - mean) / standard deviation
Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8
Using a Z probability calculator ;
The Zscore = -0.842
Therefore to Obtian the score, x
Zscore = (x - mean) / standard deviation
-0.842 = (x - 60) / 17
-0.842 * 17 = (x - 60)
-14.314 = x - 60
-14.314 + 60 = x
x = 45.686
To secure a second interview, candidate must score, 46 (nearest whole number).
The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.
Given :
A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.Let 'x' be the mark must a candidate achieve in order to secure a second interview.
So, through the z-score formula, the value of 'x' can be determined.
\(\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}\)
\(\rm -0.842 = \dfrac{x-60}{17}\)
\(17\times -0.842 = x - 60\)
x = 60 - 14.314
x = 45.686
So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.
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Can someone please help me with my hw 20 points?
Answer:
The first equation; x-2y=8
Step-by-step explanation:
Hi there!
We're told that Ty wants to isolate x in one of the equations. To do so in either, he will need to use inverse operations to cancel out values and leave just x remaining on one side of the equation.
In the second equation, he would need to subtract both sides by 6y and then divide both sides by 4 to isolate x. It's a two-step process.
However, in the first equation, he only needs to add 2y to both sides to isolate x.
I hope this helps!
Answer:
using the first equation
cause Being that the first equation has the simplest coefficients (1, -2, for x, and y respectively), it seems logical to use it to develop a definition of one variable in terms of the other
-4x+5y=20 slope intercept form
Answer:
y=4/5x+4 but if it's asking to write the Slope Intercept form that's the answer,hope it helps
What is the volume of the sugar cube below?
Answer:
The answer is A
Step-by-step explanation:
1/2 * 1/2 *1/2 =1/8 in3
Therefore, the Answer Is A
Class 607 has 27 students: 14 students have
green eyes, 7 students have blue eyes, and 6 students have brown eyes:
Answer:
teal
Step-by-step explanation:
brown blue green and teal are the only eye colors out there
4.2 x 10^8 is how many times the value of 2.1 x 10^2
A. 2 x 10^4
B. 2 x 10^6
C. 2.1 x 10^6
D. 2.1 x 10^4
4.2 x 10^8 is 2*10^6 times the value of 2.1 x 10^2 when division is performed.
How can the number of times can be calculated?The concept that will be used to solve the question is division operation.
We were given 4.2 x 10^8 which is greater than 2.1 x 10^2
The operation can be expressed as :
4.2 x 10^8 =( n *2.1 x 10^2)
where n = the number of times that 4.2 x 10^8 is greater than 2.1 x 10^2
Then make n the subject of the formular which is
n = 4.2 x 10^8/2.1 x 10^2
n = 2*10^6
Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.
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A line that passes through (3, 1) and (0, -3)
What is the slope of the line shown below?
Answer:
positive 5/8
Step-by-step explanation:
i guess im a helper
Answer:
B
Step-by-step explanation:
the slope formula is y/x, and the line goes up 5 units and right 8 units.
so the slope is 5/8
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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1. What is the area of this shape?
Answer: 80cm
Step-by-step explanation:
i know
Answer:
80cm
Step-by-step explanation:
it may be right ......
A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.
Find the ordered pair/ cordinate for each number using the equation y=3x-9
Answer:
well, pick any old x, like for example x = 0
find y
0 - y = 9
y = -9
so
(0 , - 9)
now pick another x, like x = 1
3 - y = 9
y = 3-9 = -6
so
( 1 , - 6 ) and on and on until bored
Step-by-step explanation:
The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Which equation descibes the pattern shown in the table?
When a 3-D figure cut to create a cross-section parallel to the base which direction is the perpendicular vertical or horizontal 
Answer:
When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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Find the prime factorization of the integer -32
Answer:-32=-2 x -2 x -2 x -2 x -2
Step-by-step explanation:
-32=-2 x -2 x -2 x -2 x -2
Charlie received -33points on an exam. Hegot 11 questions wrong.What integer representsthe amount of points hewas penalized on eachquestion?
Solution:
According to the statement, to solve this problem, you just have to divide -33 by 11, that is:
\(-\frac{33}{11}=\text{ -3}\)So that, we can conclude that the correct answer is:
-3
The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people
The predicted population in the year 2030 is 10 people
How to determine the predicted population in the year 2030From the question, we have the following parameters that can be used in our computation:
Population function, P(t)= 15е⁻⁰.⁰¹²⁺
Also from the question, we have
The variable t represents the number of years since 2020
This means that the value of t in 2030 is
t = 2030 - 2020
t = 10
So, we have
P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰
Evaluate the above products
P(10)= 15е⁻⁰.¹²
Evaluate the exponents
P(10)= 13.30
Approximate the above expression
P(10) = 13
This means that the number of people is 13
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What is the value of f(-5) ?
Answer: 7
Step-by-step explanation:
f(x) = y
f(-5) = y
x = -5
find the value of y at x = -5
and the answer is 7
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Define confidence interval and degree of confidence. Provide at least one example of a confidence interval and interpret the result.
Answer:
confidence interval:
This tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Degree of confidence:
This tells us that the confidence interval has captured the true/exact population parameter.
If we have 95% degree of confidence, we are 95% sure that that the exact/true parameter are in the confidence interval
Workings please......
Answer:
21.142
Step-by-step explanation:
not sure it's correct
Answer the photo please and do my other ones
Answer:
C
Step-by-step explanation:
If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.
Subtracting Turkey (12) from Ham (9) your answer is C, or 3.
is 12:4=3 or 12:3=4 which one is correct
Answer:
They are both correct
Step-by-step explanation:
12 divided by 4 is 3
12 divided by 3 is 4
Answer:
They are both correct, because 4 and 3 are both divisible factors of 12. When you see a, ":" that is a ratio. Ratios are comparisons or division.
HELP Cornell makes 11/12 of a gallon of Tuscan white bean soup. He eats equal portions of the soup for 5 days, with no soup remaining after the fifth day. How many gallons of soup did Cornell eat each day? If necessary, enter your answer as a fraction. gallons
Solution:
Note that:
11/12 gallons of soup = 5 daysUsing cross multiplication:
11/12 gallons of soup = 5 days=> 11 gallons of soup = 5 x 12 days=> 11 gallons of soup = 60 daysUsing the division property of equality.
11 gallons of soup = 60 days=> 11/60 gallons of soup = 60/60 days=> 11/60 gallons of soup = 1 dayEach day, Cornell ate 11/60 gallons of soup.
The amount of gallons of soup Cornell ate each day was 11/60
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total \(x\) parts, where \(x\) is the number of parts the given number is divided.
Thus, \(a \div b\) = a divided in b equal parts.
Also, we can write: \(a \div b = a \times \dfrac{1}{b}\)
(it is since a = a times 1 so \(a/b = 1 \times (a/b) = (1/b) \times a\))
For the given case, we're given that:
Total amount of soup Cornell ate in 5 days = 11/12 gallons.
Cornell ate equal amount of soup each day.
Due to this equal amount of soup eating, we can use division.
The amount of soup Cornell ate each day = 11/12 divided in 5 equal parts
The amount of soup Cornell ate each day = \(\dfrac{11}{12} \div 5 = \dfrac{11}{12} \times {1}{5} = \dfrac{11}{60}\)
Thus, the amount of gallons of soup Cornell ate each day was 11/60
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5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15
Hey can anyone help me with this problem please and thank you !
Answer:
x = 16
Step-by-step explanation:
6x + 3 = 7x -19
3 + 19 = 7x - 6x
22 = x
so
=6x + 3
=6× 22 +3
=135°
then
=7x - 19
=7 × 22 -19
=135°
Answer:
(6x+3)=(7x-19)
-x+3=-19
-x=-22
x=22
Step-by-step explanation:
Felipe uploaded a funny viedo of his dog. The relationship between the elapsed time in days, d , since the viedo was first uploaded and the total number of views, v , that the viedo received is modeled by v=4^1.25d . Find the number of days it took Felipe's viedo to get 1024 views.
The number of days took to get the video of Felipe 1024 views is 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,
v = 4^(1.25d)
We have to find d when v = 1024
1024 = 4^(1.25d)
We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ
1024 = \((4^{1.25} )^d\)
1024 = (5.6569)^d
Taking logarithms on both sides,
㏒ (1024) = ㏒ [(5.6569)^d]
We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)
㏒ (1024) = d ㏒ (5.6569)
d = ㏒ (1024) / ㏒ (5.6569)
d = 4
Hence it took 4 days to for Felipe's video to get 1024 views.
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