Answer:
0.39, 0.388, 38.38%, 3/8
Step-by-step explanation:
Find the corresponding z score for each student. Round z scores to two decimal places.
Z-score of college student z=0.725
Z-score of university student z=0.664.
What is z-score?The relationship between a value and the mean of a set of values can be quantified using a Z-score. The Z-score is computed using the standard deviations from the mean. A data point's score is equal to the mean score if the Z-score is 0. The standard score is the value of a raw score in statistics that deviates from or exceeds the mean of the phenomenon being observed or assessed. Positive standard ratings are assigned to raw values above the mean, whereas negative standard ratings are assigned to raw values below the mean.
Given,
For the college student,
X₁=$9935
μ₁=$8581
σ₁=$1867
From the university student,
X₂=$11757
μ₂=$10339
σ₂=$2133
z-score of college student=(X₁-μ₁)/σ₁
z=(9935-8581)/1867
z=0.725
z-score of university student=(X₂-μ₂)/σ₂
z=(11757-10339)/2133
z=0.664
Therefore, z-score of college student=0.725
z-score of university student=0.664
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The following information matrices shows how many of each Video Game Consoles that each
electronics store sold during one weekend and the price that is charged for each gaming console at all
3 stores.
Micro middle sold the least no of different types of consoles.
What are matrices?Matrices represent data in the form of rows and columns together as an array form.
From matrix A we get the data as follows,
A row represents shops and columns represents types of console.
Games Go sold (53 + 21 + 48) = 122 different types of consoles.
Better Buy sold (65 + 34 + 70) = 169 different types of consoles.
Micro middle sold (18 + 11 + 15) = 34 different types of consoles.
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a line's slope is 0, and it's y intercept is -7. what is its equation in slope intercept form?
Pls help, I can’t figure this out .
Answer:
Step-by-step explanation:
y = 4×[tex]5^{0}[/tex] y=4
y=4×[tex]5^{2}[/tex] y=100
y=4×[tex]5^{4}[/tex] y=2500
y=4×[tex]5^{6}[/tex] y=62500
y=4×[tex]5^{7}[/tex] y=312500
Write the equation of the line that passes through the points (4, 8) and (5, -1). Put
your answer in fully
line.
simplified point-slope form, unless it is a vertical or horizontal
Slope-intercept form:
y=−9x+44y=-9x+44
Point-slope form:
y−8=−9⋅(x−4)
2. WOULD I HAVE COMPETENCES AIMED AT POSITIONING ME IN THE PROFESSIONAL MARKET?
Answer:
In the professional market there is always professional competition, because there are always different professionals competing or looking for the same jobs.
¿What is the labor market?This has been the market where the demand and supply associated with work or labor elements are concentrated.
In a labor market, as in any other market, there are skills, in this context, job skills, because there are always several professionals looking for the same job offers or opportunities.
¡Hope this helped!
A zoo is planning a new building for the penguin exhibit. First, they made a model that was 1.7 meters tall. Then, they made a more detailed model that was 1.5 times as tall as the first model. The building will be 2.5 times as tall as the height of the detailed model.
What will be the height of the building?
The height of the new building in the zoo is calculated to be 6.375 m
How to find the height of the new buildingThe problem is solved by using the scale factor to increase or decrease the model.
When the scale factor is less than it leads to decrease but when above it leads to increasing.
The case in the problem is increasing.
First, they made a model that was 1.7 meters tall
the height of the model = 1.7 m
a more detailed model that was 1.5 times as tall as the first model
the height of the detailed model = 1.7 * 1.5 = 2.55 m
The building will be 2.5 times as tall as the height of the detailed model
= 2.5 * height of the detailed model
= 2.5 * 2.55
= 6.375 m
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Brad invested $2,500 in an account earning 3.4% annual interest that is compounded semi-annually. How long will it take the investment to triple?
(Round your answer to the nearest hundredth.)
The time needed for the investment to triple is approximately 32.59 years.
What is the time taken for the investment to triple?The compound interest formula can be expressed as;
A = P(1 + r/n)^(n*t)
Where A is accrued amount, P is principal, r is interest rate, t is time elapsed.
Given the data in the question;
Principal P = $2,500Accrued amount A = tripled = 3 × $2,500 = $7,500Interest rate r = 3.4%Compounded semi-annually n = 2Time t = ?Plug the given values into the above formula and solve for t.
A = P(1 + r/n)^(n*t)
t = In( A/P) / n[In( 1 + r/n ) ]
t = In( 7500 / 2500) / (2[In( 1 + 3.4%/2 ) ])
t = In( 7500/2500 ) / ( 2[In( 1 + 0.017 ) ]
t = 32.59 years
Therefore, the required time for the investment to $7,500 is is 32.59 years.
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A softball team is participating in a tournament where the team will spend three nights at a hotel. Each hotel offers a 50%
discount for the third night. The coach wants to keep the total cost for each player at $225 with an absolute deviation of at
most $25. Write an absolute value of inequality. Use x for the variable.
Hotel Price per night
Hotel A
$80
Hotel B
$105
Hotel C
$75
Hotel D $90
12.5x2251>25
The inequality will be;
For Hotel A; 80x + 25 < 225
For Hotel B; 105x + 25 < 225
For Hotel C; 75x + 25 < 225
For Hotel D; 90x + 25 < 225
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The coach wants to keep the total cost for each player at $225 with an absolute deviation of at most $25.
Now,
Since, The coach wants to keep the total cost for each player at $225 with an absolute deviation of at most $25.
Hence, We get;
The inequality will be;
For Hotel A;
⇒ 80x + 25 < 225
For Hotel B;
⇒ 105x + 25 < 225
For Hotel C;
⇒ 75x + 25 < 225
For Hotel D;
⇒ 90x + 25 < 225
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At the beginning of the year, Harper had $30 in savings and saved an additional $10 each week thereafter. Stella started the year with $45 and saved $7 every week. Let H represent the amount of money Harper has saved t weeks after the beginning of the year and let S represent the amount of money Stella has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until Harper and Stella have the same amount of money saved.
S=__
H=___
The number of weeks after the beginning of the year until they have the same amount of money in 5 weeks.
What is a linear equation?
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent of more than 1. The graph of a linear equation always forms a straight line.
A linear equation can be written as:
y = mx + b, where m is the slope and b is the y-intercept.
Given, the linear equations H and S can be written as follows by defining t as the number of weeks since the beginning of the year:
For Harper, H = 30 + 10t ................ (i)
For Stella, S = 45 + 7t .......... (ii)
To find out how much they had when they had the same amount is our next step.
This means that we must address:
H = S
From eq (i) and (ii), we get
or, 30 + 10t = 45 + 7t
or, 10t - 7t = 45-30
or, 3t = 15
or, t = 5
So they have the same amount of money in week 5.
Hence, H = 30 + 10t and S = 45 + 7t
Answer: 5 weeks
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Solve for x . Round to the nearest tenth, if necessary.
Answer:
176.6
Step-by-step explanation:
You can use sine, cosine, or tangent to find x (the trick is determining which to use).
Looking at the 63° angle, its adjacent side is GH, which has a length of 90. The opposite side of the 63° angle is side FG, which has a length of x. You're going to need a ratio that will give you the opposite side knowing the adjacent.
You can use the... acronym?... SOH-CAH-TOA.
SOH - When using sine (S), you get the ratio of the opposite (O) side to the hypotenuse (H).
CAH - When using cosine (C), you get the ratio of the adjacent (A) side to the hypotenuse (H).
TOA - When using tangent (T), you get the ratio of the opposite (O) side to the adjacent (A) side.
Since we're not using the hypotenuse at all, we need to use tangent, which is the ratio of opposite to adjacent. You can set up the equation:
tan(63°) = x/90
Type this into your calculator (make sure it's in degrees and not radians!) and you get:
1.9626 * 90 = x
x = 176.6
Convert 110 kilograms to pounds. (1 kilogram = 2.204 pounds)
110 kilograms is equal to 242.44 pounds.
To convert kilograms to pounds, you can use the conversion factor:
1 kilogram = 2.204 pounds.
Given that you want to convert 110 kilograms to pounds, you can multiply 110 by the conversion factor:
110 kilograms x 2.204 pounds/kilogram = 242.44 pounds
Therefore, 110 kilograms is equal to 242.44 pounds.
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A water tank initially contained 55 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many liters of water are in the tank after 2 minutes? Round answers to the nearest whole liter.
Answer:
50 liters
Step-by-step explanation:
2.5 liters drained per minute x 2 minutes = 5 liters drained total
(2.5 x 2 = 5)
55 liters at the start - the 5 liters drained = 50 liters remaining
(55 - 5)
whole equation would be
55 - (2.5 x 2) = 50
Find the quotient of x^2-9x+20 and x-5
Answer: x-4
Step-by-step explanation:
[tex]\displaystyle\\\frac{x^2-9x+20}{x-5}=\\\\\frac{x^2-5x-4x+20}{x-5} =\\\\\frac{(x^2-5x)-(4x-20)}{x-5} =\\\\\frac{x(x-5)-4(x-5)}{x-5}=\\\\\frac{(x-5)(x-4)}{x-5} =\\\\x-4[/tex]
Examine the four different companies in the table, which shows their yearly income and their tax rate. Which type of taxation does this table best represent?
A. Indirect
B. Progressive
C. Pegreative
D. Proportional
The type of taxation that this table best represent is B. Progressive
What is a progressive tax?A progressive tax is one in which the tax rate rises (or progresses) as taxable income rises. It imposes a lower tax rate on low-income earners and a higher tax rate on higher-income earners. This is usually accomplished by establishing tax brackets that categorize taxpayers based on their income levels.
A progressive tax is one in which the tax rate rises in proportion to the taxable amount. The term progressive refers to the manner in which the tax rate rises from low to high, resulting in a taxpayer's average tax rate being less than the person's marginal tax rate.
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Answer:
I got c
Step-by-step explanation:
Took the test and that’s what it told me 4nem
Given : f(x) = 3x ^ 2 + 2x - 1 What is the value of f(5) ?
The value of f ( 5 ) in the equation f(x) = 3x² + 2x - 1 is f ( 5 ) = 84
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f(x) = 3x² + 2x - 1
Now , to calculate the value of f ( 5 ) , substitute the value of x as 5
So , when x = 5 , the equation will be
f(x) = 3x² + 2x - 1
f ( 5 ) = 3 ( 5 )² + 2 ( 5 ) - 1
On simplifying the equation , we get
The value of f ( 5 ) = 3 x 25 + 10 - 1
The value of f ( 5 ) = 75 + 10 - 1
The value of f ( 5 ) = 85 - 1
The value of f ( 5 ) = 84
Therefore , the value of f ( 5 ) is 84
Hence , The value of f ( 5 ) in the equation f(x) = 3x² + 2x - 1 is f ( 5 ) = 84
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A like passes the rough the point (-8,-9) and has a slope of 5/4. Write an equation in slope- intercept form for this line
Answer:
y=5/4x+1
Step-by-step explanation:
slope intercept form is y=mx+b
M- slope
B- y intercept
We already know slope
y=5/4x+b
To find b we fill in the coordinates we know (-8,-9)
-9=5/4(-8)+b
-9=-40/4+b
-9=-10+b
+10 +10
1=b
Now. We fill it in
y=5/4x+1
Hopes this helps please mark brainliest
Find the distance between the points (6.6, 7.9) and (6.6, 4.7).
Answer:
3.2
Step-by-step explanation:
Compute the Euclidean distance between the following points:
p_1 = (6.6, 7.9) and p_2 = (6.6, 4.7)
The Euclidean distance between points (x_1, y_1) and (x_2, y_2) is:
sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)
Substitute (x_1, y_1) = (6.6, 7.9) and (x_2, y_2) = (6.6, 4.7):
= sqrt((6.6 - 6.6)^2 + (7.9 - 4.7)^2)
6.6 - 6.6 = 0:
= sqrt(0^2 + (7.9 - 4.7)^2)
0^2 = 0:
= sqrt(0 + (7.9 - 4.7)^2)
| 7. | 9
- | 4. | 7
| 3. | 2:
= sqrt(3.2^2)
Cancel exponents. sqrt(3.2^2) = 3.2:
Answer: = 3.2
Larry is a delivery man.
He has 7 parcels to deliver.
The mean weight of the 7 parcels is 2.7 kg
Larry delivers 3 of the parcels.
Each of these 3 parcels has a weight of W kg
The mean weight of the other 4 parcels is 3.3 kg
Work out the value of W
The value of the W would be 1.9 kg.
What is the mean of numbers?
The mean (aka the arithmetic mean, different from the geometric mean) of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”
Larry has to deliver 7 parcels.
The mean weight of the 7 parcels is 2.7 kg.
So
mean = sum of all weights of 7 parcels/7
2.7 * 7 = sum of all weights of 7 parcels
Sum of all weights of 7 parcels = 18.9 kg
Now Larry delivers 3 of the parcels each of weight 'W'
now the new weight will be = 18.9 - 3W
Remaining parcels = 7 - 3 = 4
New mean = 3.3
Now again by using the formula of mean, we get
3.3 = (18.9 - 3W)/4
18.9 - 3W = 13.2
3W = 5.7
W = 1.9 kg.
Hence, the value of the W would be 1.9 kg.
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which situation is most likely to have a constant rate of change?
a. number of fish in a pond compared with the volume of the pond
b. distance an airplane travels compared with the number of airports it visits
c. Ounces of water consumed compared with the number of same size bottles drank
d. points scored in a football game compared with the number of quarters played
Comparing the number of same-size bottles drank to the amount of ounces of water consumed. So, option c is correct.
What is meant by constant rate of change?When the ratio of the output to the input stays constant at every given point along the function, the rate of change is said to be constant. A linear function's change will occur at a steady rate.
Comparing the number of same-size bottles drank to the amount of ounces of water consumed.
We say there is a constant rate of change when a quantity varies uniformly in relation to the change of another quantity.
Therefore, there is a constant rate of change if one quantity is directly proportionate to the other.
The number of identical-sized bottles drank is directly proportionate to the number of ounces of water consumed. As a result, the rate of change in water ounces in relation to the quantity of identical-sized bottles is constant. The quantity of the remaining alternatives are not directly proportionate to one another.
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a meteorologist predicted that there would be 1.0 inches of rainfall from a storm instead there was 2.2 inches of rainfall
The percentage change of the rainfall the meteorologist predict is 55%
How to determine the percentage change of the rainfall the meteorologist predict?From the question, we have the following parameters that can be used in our computation:
Predicted amount of rainfall = 1.0 inches
Actual amount of rainfall = 2.2 inches
The percentage change of the rainfall the meteorologist predict is calculated as
Percentage change = (Actual amount of rainfall - Predicted amount of rainfall)/Actual amount of rainfall * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage change = (2.2 - 1.0)/2.2 * 100%
Evaluate the difference in the above equation, so, we have the following representation
Percentage change = 1.2/2.2 * 100%
Evaluate
Percentage change = 0.55 * 100%
So, we have
Percentage change = 55%
Hence, the percentage change is 55%
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A triangle has three angles that measure 80º, 65º, and 35º. How many unique triangles can be drawn that fit that description?
A triangle has three angles that measure 80º, 65º, and 35º will lead to infinite number of triangles
How to know when infinite number of triangles are formedWhen no side is specified, an infinite number of triangles are created.
If side lengths are not given, the three angles will result in an infinite number of triangles that are unique.
The option that provided only angles and no sides, namely angles of 80º, 65º, and 35º are given matches the criterion of formation of unlimited sides of triangle
To build an endless number of triangles, other alternatives have sides or a side is provided but not in accordance with that.
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Stem and leaf plots
And box
Pls help I have no idea what this is
Answer:
32
Step-by-step explanation:
The end of the box is at 32.
Find the distance:
Find the distance between 0 and -11
Answer:___
Please help ASAP!!!
Answer:
11
Step-by-step explanation:
If on a number line there would be 11 spaces in between
Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mm Hg) and the standard deviation is 5.6. Assume the variable is normally distributed.
a. If an individual is selected, find the probability that the individual’s pressure will be between 120 and 121.8 mm Hg.
b. If a sample of 30 adults is randomly selected, find the probability that the sample mean will be between 120 and 121.8 mm Hg.
c. Why is the answer to part a so much smaller than the answer to part b?
(a) The probability that the individual's pressure will be between 120 and 121.8 mm Hg is 0.1255.
(b) The probability that the sample mean will be between 120 and 121.8 mm Hg is 0.4608.
(c) The probability in part a is so much smaller than the probability in part b since, in part a, the probability is calculated for an individual's pressure whereas, in part b, the probability is calculated for a sample of adults.
How to calculate the z-score?The z-score formula in a normal distribution is given by
z = (X - μ)/σ
Here, the mean (μ), standard deviation (σ), and random variable (X) are used for finding the z-score.
With this z-score, from the normal distribution table, we can find the probability of the required random variable.
Calculation:It is given that,
The mean of the pressure of normal adults is μ = 120 mm of Hg
The standard deviation is σ = 5.6
Consider X is a normally distributed variable.
(a) Then, the probability that the individual's pressure will be between 120 and 121.8 mm Hg is calculated by P(120 < X < 121.8).
Here, the z-scores for the given means are:
z-score for the random variable 120 mm Hg is
z = (X - μ)/σ
⇒ z = (120 - 120)/5.6 = 0
z - score for the random variable 121.8 mm Hg is
z = (X - μ)/σ
⇒ z = (121.8 - 120)/5.6 = 0.32
So, the required probability is
P(120 < X < 121.8) = P(0 < z < 0.32)
⇒ P(z < 3.2) - P(z < 0)
From the normal distribution table, we get P(z < 3.2) = 0.6255 and P(z < 0) = 0.5000.
Then, the probability is
P(z < 3.2) - P(z < 0) = 0.625 - 0.5000 = 0.1255
(b) The sample size n = 30 and the random variables are 120 and 121.8 mm Hg.
Since the distribution is for a sample of adults, the sample mean value is
μₓ = μ = 120 and the sample standard deviation is
σₓ = σ/√n = 5.6/√30 = 1.022
Then, the z-scores for the given random variables are:
z-score for the random variable 120 mm Hg is
z = (X - μₓ)/σₓ = (120 - 120)/1.022 = 0
z-score for the random variable 121.8 mm Hg is
z = (X - μₓ)/σₓ = (121.8 - 120)/1.022 = 1.76
So, the required probability is
P(120 < X < 121.8) = P(0 < z < 1.76)
⇒ P(z < 1.76) - P(z < 0)
From the normal distribution table, we get P(z < 1.76) = 0.9608 and P(z < 0) = 0.5000.
Then, the probability is
P(z < 1.76) - P(z < 0) = 0.9608 - 0.5000 = 0.4608.
(c) The answer to part a is so much smaller than the answer to part b. This is because part a is the distribution for an individual and part b is the distribution for a sample of adults.
So, the sample mean and sample standard deviation will get changed in part b.
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An object is thrown upward at a speed of 109 feet per second by a machine from a height of 7 feet off the ground. The height
h
h
of the object after
t
t
seconds can be found using the equation
h
=
−
16
t
2
+
109
t
+
7
h
=
-
16
t
2
+
109
t
+
7
f(x)= -x²+6x-9
find f(7)
Answer:
-16
Step-by-step explanation:
Replace the x values with 7.
If the temperature rises 3 degrees steadily over an eight hour period, what is the total tempature increase after eight hours
Answer:
24 degree increase
Step-by-step explanation:
If the temperature rises 3 degrees steadily over an eight hour period, the total temperature increase after eight hours would be 3 * 8 = 24 degrees.
Plot the complex number on the complex plane and write it in polar form and in exponential form.
19+19i
After solving the equation the complex number 19 + 19i.
What is polar form?
In mathematics, polar form is a way of representing a complex number in terms of its magnitude (the distance from the origin to the point on the complex plane) and its argument (the angle formed by the positive x-axis and the line connecting the origin to the point on the complex plane).
To plot the complex number 19 + 19i on the complex plane, you can represent it as a point with coordinates (19, 19). The complex plane is a two-dimensional coordinate system in which the x-axis represents the real part of a complex number and the y-axis represents the imaginary part.
The complex number 19 + 19i can also be written in polar form and in exponential form.
In polar form, a complex number is represented by its magnitude (the distance from the origin to the point on the complex plane) and its argument (the angle formed by the positive x-axis and the line connecting the origin to the point on the complex plane).
The magnitude of the complex number 19 + 19i is:
magnitude = √(19^2 + 19^2)
= √(361 + 361)
= √(722)
= 27
The argument of the complex number 19 + 19i is:
argument = atan2(19, 19)
= 45°
Therefore, the complex number 19 + 19i can be written in polar form as:
19 + 19i = 27 * cis(45°)
In exponential form, a complex number is represented as the product of its magnitude and the complex exponential cis(θ), where θ is the argument of the complex number.
Therefore, the complex number 19 + 19i
Polar form is usually written as:
r * cis(θ)
where r is the magnitude of the complex number and θ is the argument, expressed in radians.
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based on the above estimated regression equation, if price is increased by 6 units, then demand is expected to
Therefore demand is "decreased by 100 units".
What is predicted value in regression?
Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.
[tex]$$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$[/tex]
Given [tex]$x$[/tex], increased by 5 units
[tex]$$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$[/tex]
Therefore demand is "decreased by 100 units"
Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.
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