Answer:
Step-by-step explanation:
19.
The numbers are m and n
Sum of m and n = m + n
Sum is multiplied by 91 = 91 x ( m + n )
20.
Let the number be = m
Six subtracted from the number = m - 6
41 times the difference = 41 x ( m - 6)
21.
Let the number be = r
Difference between 83 and 10 = 83 - 10 = 73
[tex]The \ number\ divided \ by\ the \ difference \ = \frac{r}{73}[/tex]
22.
Total of p and 23 = p + 12
[tex]Total \ divided \ by \ 18 = \frac{p + 12 }{18}[/tex]
23.
The product of c and 3 = 3c
Sum of 9 and 12 = 21
Product is more than Sum = 3c + 21
24.
Sum of y and 10 = y + 10
Number x decreased by 5 = x - 5
[tex]Sum \ divided \ by \ difference = \frac{ y + 10 }{x - 5}[/tex]
A tax form asks people to identify their age, annual income, number of dependents, and social security number. For each of these four variables, identify the scale of measurement that probably is used and identify whether the variable is continuous or discrete.
Variable Nominal Ordinal Interval Ratio
Social security number
Annual income
Number of dependents
Variable Discrete Continuous
Social security number
Annual income
Number of dependents
Answer:
Types of variables:
Continuous variable include: income
Discrete variable include: number of dependents
Scale of measurement:
Nominal data include: Social security number
There is no ordinal data included
There is no interval data included
Ratio data include: Annual income,
Number of dependents.
Explanation:
Continuous variables are variables that are obtained by just counting, example: counting the number of times someone eats in a day.
Discrete variables are simply variables that are measured and are usually more precise than continuous variables, example: time, weight, length etc.
Nominal data are data types that are in the form of labels or names and do not have any particular order, example :social security number basically identifies a person and is not ranked or ordered in any way.
Ordinal data are data types that also in the form of names but with ranking and order.
Interval data are data types that rank and order data but with continuous measurement that may take on negative values, example measure of temperature.
Ratio data is same as interval data but does not take negative values, example we can not say that someone is -6 years old.
Which histogram represents the following data set?
31, 67, 8, 37, 12, 87, 14, 34, 105, 57, 42, 8, 16, 54, 17, 20, 72, 23,
27, 63, 24, 52, 14, 44, 27, 5, 28, 22, 33, 15, 6, 36, 41, 21, 46
Answer:
Option A
Step-by-step explanation:
Histogram shows the range of data on the x-axis while the frequency of occurrence is on the y-axis.
We have the following ranges from the Histogram ;
0 to 11
11 to 22
22 to 33
33 to 44
44 to 55
55 to 66
66 to 77
77 to 88
88 to 99
99 to 110
From the given set of data, the frequency according to the range is as follows;
0 to 11; 4
11 to 22; 8
22 to 33; 7
33 to 44; 6
44 to 55; 4
55 to 66; 2
66 to 77; 2
77 to 88; 1
88 to 99; 0
99 to 110; 1
The only Histogram that corresponds to these frequency is option A
What is the solution to this system of equations y=x+6 and y=-.5x+3
Answer:
x=-6, y=0
Step-by-step explanation:
it's impossible to fully solve an equation where 2 variables are unknown. So we have to make it equal to 1 set. to do this, we have to think logically.
if y=x+6, then that means wherever it says y, we can put x+6. because x+6=x+6, right? so we plug x+6 into the second equation and get.
x+6=0.5x+3
to solve for x we subtract 6 from one side and 0.5 from the other and get
0.5x=-3
then we multiply both sides by 2 to make be a whole number
x=-6
now we just plug this into either equation. because the first one is easier, we can just set it up as
y=(-6)+6
which means y=0
WILL GIVE MOST BRAINIEST
Which of the following functions best describes this graph?
A. y (x + 4) (x + 5)
Answer:
D. y =
Step-by-step explanation:
The solutions to this graph (meaning when y equals 0 or when the graph crosses the x-axis) are 4 and 5.
The only answer choice that has the solutions 4 and 5 when you factor it out is D.
Here's the proof:
[tex]x^{2} -9x + 20[/tex]
Factors of 20: - 5 & -4
Sums that add up to -9: -5 + (-4)
[tex]x^{2} -4x-5x+20[/tex]
(factor the first two terms and the last two terms separately)
[tex](x^{2}-4x)(-5x+20)[/tex]
[tex]x(x-4) -5(x-4)[/tex]
(x - 5) (x - 4)
Hope it helps (●'◡'●)
If Camillo goes with the better buy, how much will he pay for the 25 loaves of bread that he needs for the gourmet peanut butter and jelly sandwiches? Enter your answer to the nearest cent.
Answer:
$49.5
Step-by-step explanation:
* means multiply
at $1.98 per loaf
25 * 1.98 =
49.5
Answer:
48.75
Step-by-step explanation:
It would be the cheapest option
Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year. If Scott earned $552.00 in interest during a single year, how much did he have on deposit in each bank?
Answer:
Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.
Step-by-step explanation:
Since Scott invested a total of $ 5400 at two separate banks, and one bank pays simple interest of 12% per year while the other pays simple interest at a rate of 8% per year, if Scott earned $ 552.00 in interest during a single year, to determine how much did he deposit in each bank, the following calculation must be performed:
5400 x 0.12 + 0 x 0.08 = 648
4400 x 0.12 + 1000 x 0.08 = 608
3000 x 0.12 + 2400 x 0.08 = 552
Therefore, Scott invested $ 3,000 at 12% annually, and $ 2,400 at 8% annually.
Write in simplest form
Answer:
(1/8x)-(5/6)
Step-by-step explanation:
-3/4x-1/3+7/8x-1/2
-6/8x-2/6+7/8x-3/6
-6/8x+7/8x-2/6-3/6
1/8x-5/6
2. H = 5 cm
W= 4 cm
L= 8 cm
V= L×W×H
=___×___×___
=______cm3
Answer:
160cm^3
Step-by-step explanation:
5 x 4 x 8 = 160cm^3
Find f(6), f(0), and f(-1)
f(x)=-7X
Answer:
f(6)=-42
f(0)=0
f(-1)=7
Step-by-step explanation:
since f(x) =-7x
it implies that f(6),f(0) and f(-1) are all equal to f(x)
which is equal to -7x .
so wherever you find x you out it in the
function
Suppose 42% of the population has myopia. If a random sample of size 442 is selected, what is the probability that the proportion of persons with myopia will differ from the population proportion by less than 3%
Answer:
0.7994 = 79.94% probability that the proportion of persons with myopia will differ from the population proportion by less than 3%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose 42% of the population has myopia.
This means that [tex]p = 0.42[/tex]
Random sample of size 442 is selected
This means that [tex]n = 442[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.42[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.42*0.58}{442}} = 0.0235[/tex]
What is the probability that the proportion of persons with myopia will differ from the population proportion by less than 3%?
Proportion between 0.42 + 0.03 = 0.45 and 0.42 - 0.03 = 0.39, which is the p-value of Z when X = 0.45 subtracted by the p-value of Z when X = 0.39.
X = 0.45
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.45 - 0.42}{0.0235}[/tex]
[tex]Z = 1.28[/tex]
[tex]Z = 1.28[/tex] has a p-value of 0.8997
X = 0.39
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.39 - 0.42}{0.0235}[/tex]
[tex]Z = -1.28[/tex]
[tex]Z = -1.28[/tex] has a p-value of 0.1003
0.8997 - 0.1003 = 0.7994
0.7994 = 79.94% probability that the proportion of persons with myopia will differ from the population proportion by less than 3%.
The mean weight of the packages Joan shipped was 2.5 pounds. If Joan mailed four packages and three of them had weights of 1.8, 3.2 and 2.7 pounds, then what did the other package weigh?
Answer:
2.3 pounds
Step-by-step explanation:
First, the mean is equal to the sum divided by the number of numbers.
There are four packages, so there are four numbers. Let's say the fourth package has a weight of x. We can then write
mean = sum / number of numbers
2.5 = (1.8+3.2+2.7+x)/4
multiply both sides by 4 to remove the denominator
10 = 1.8+3.2+2.7+x
10 = 7.7 + x
subtract 7.7 from both sides to isolate the x
x = 2.3 pounds
y.y3 write without exponts
Answer:
Y x Y x Y x Y
Step-by-step explanation:
The exponent tells how many times that number is multiplied.
So, x^3 is the same as multiplying x 3 times.
Suppose triangle ABC is reflected over the x-axis. If the distance between point A and A’ is 14, what is the distance between the x-axis and A’.
1. 7
2. -7
3. 3.5
4. There is not enough information given.
Given:
The triangle ABC is reflected over the x-axis.
The distance between point A and A’ is 14.
To find:
The distance between the x-axis and A’.
Solution:
If a figure is reflected across the x-axis then the corresponding parts are mirror image of each other about the x-axis.
It means the distance between A and x-axis is same as the distance between x-axis and A'.
The distance between point A and A’ is 14.
Let d be the distance between the x-axis and A’. Then,
[tex]d+d=14[/tex]
[tex]2d=14[/tex]
[tex]d=\dfrac{14}{2}[/tex]
[tex]d=7[/tex]
Therefore, the correct option is 1.
After a 13% price reduction, a boat sold for $25,230. What was the boat's price before the reduction? (Round to the nearest cent, if necessary.) Group of answer choices
Answer:
The boat's price before the reduction was $ 29,000.
Step-by-step explanation:
Given that after a 13% price reduction, a boat sold for $ 25,230, to determine what was the boat's price before the reduction, the following calculation must be performed:
100 - 13 = 87
87 = 25230
100 = X
100 x 25 230/87 = X
2523000/87 = X
29000 = X
Therefore, the boat's price before the reduction was $ 29,000.
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-1); for example, enter xas x^3. Do
not include "G(x) =" in your answer.
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue graph? A. G(x) = (x + 3)^3 B. G(x) = x^3 + 3 C. G(x) = x^3 - 3 D.
G(x) = (x - 3)^3
The function of the blue curve in the graph is g(x)=(x+3)²+1.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is f(x)=x².
In the image, we have two functions, the red one is a parent function, which is the most basic version of it. The blue function is a transformation of the red one, that is, it was only moved to the left and upwards.
From the graph, we can see that the blue function was moved to the left and upwards, that means we have to sum units to x and f(x).
So, g(x)=(x+3)²+1
Therefore, the function of the blue curve in the graph is g(x)=(x+3)²+1.
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In what country of United states of heightlandia, the height measurements of ten year old children are approximately normally distributed with a mean of 53.2 inches and standard deviation of 6.7 inches?
Step-by-step explanation:
hi I can help you out in this work via Wazapp
-5y-9=-(y-1) equation
a -1/2
b -2 1/2
c -2
d -2/5
The solution of this equation has an error. Which of the following steps has the error? 18 − (3x + 5) = 8
Step 1: 18 − 3x + 5 = 8
Step 2: -3x + 23 = 8
Step 3: -3x = -15
Step 4: x = 5
Step 1 Step 2 Step 3 Step 4. ?
Answer:
Step 1
Because the number in front of the bracket is 1 and it is also affected by the negative sign(-),5 is supposed to be negative not positive because (negative by positive is negative)
And since the first step has an error in it,the remaining steps would also be wrong.
Translate this sentence into an equation.
The product of Rhonda's height and 4 is 52.
Use the variable r to represent Rhonda's height.
Answer: r•4=52
Step-by-step explanation:
The product of something means multiplication. So R is equal to Ronda’s height. So you would multiply r and 4 to get 52.
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what would the new length of the running trail be?
Answer:
4.286
Step-by-step explanation:
you really need help with this ? you cannot just use your calculator ? that would have been faster than putting that question in here ...
remember, similar to the number positions in front of the decimal point, it is equally important to add the same positions after the decimal point.
we have 10th, 100th, 1000th, 10000th, 100000th, ... no end possible.
so we have
2.826 miles
and need to add 1.46 miles
2.826
1.46
----------
4.286
and the line of thinking goes from right to left
nothing plus 6 is 6
6 plus 2 is 8
4 plus 8 is 12, so we write 2 and carry over the 1
1 plus 2 plus 1 carry over is 4
if it helps, you can always add zeroes at the end of any digits after the decimal point, as you can also add zeroes in front to the digits before the decimal point to make both numbers have the same length and their decimal points are perfectly aligned.
our addition could have also looked like
2.826
1.460
with the same result
overall, if this is truly helping you, an example of using both leading and tailing zeroes could be
4278.9472081
0021.6380000
---------------------
4300.5852081
add 7/8 + 2 3/24 + 6 1/6
Answer:
9 4/24 or 9 1/6
Find the LCM(lowest common multiple) of 8, 24 and 6.The LCM of 8, 24 and 6 is 24.We now want to turn all the denominators into 24 so we are going multiply 7/8 by 3 and 1/6 by 4. We won't need to turn the denominator of 3/24 into 24 because it's already 24Whatever you do to the denominator you have to do to the numerator, so you also have to multiply the numerator of 7/8 by 3 and the numerator of 1/6 by 4That now results in 21/8 + 2 3/24 + 6 4/24Now you have to add all the fractions together which is going to equal to 28/24Because 28/24 is more than the whole, subtract 28 from 24 which gives us 4. That 4 is now our new numeratorWe are now going to all the whole numbers 6+2+1=9. Incase you're wondering, the '1' came from the 28/24The answer you should get should be 9 4/24 or if it should be simplified it would be 9 1/6
the table below represents a linear function f(x) and the equation represents a function g (x)
part a: write a sentence to compare thw slope of thw two functions and show thw steps you used to determine the slope of f(x) and g(x).
part b: which function has a greater y-intercwpt? justify your answer
Answer:
Step-by-step explanation:
a). For function 'f',
Slope of a linear function passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For the function 'f' given in the table,
Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,
Slope = [tex]\frac{-5+1}{-1-0}[/tex]
= 4
Equation of the line passing through a point (0, -1) and slope = 4 will be,
y - y' = m(x - x')
y + 1 = 4(x - 0)
y = 4x - 1
f(x) = 4x - 1
For function 'g',
Equation of the function 'g' has been given as,
g(x) = 4x + 3
By comparing this equation with the slope-intercept equation of a line,
y = mx + b
Therefore, slope of the function 'g' is,
m = 4
Since slopes of both the functions are same, linear graphs of both the functions will be parallel.
b). Equation of the function 'f' is,
f(x) = 4x - 1
y-intercept of the function = -1
Equation of function 'g',
g(x) = 4x + 3
y-intercept = 3
Therefore, function 'g' will have the greater y-intercept.
Matthew earns extra money by doing odd jobs for his neighbors. He charges a flat fee of $20 plus $7 per hour for each job. If he earned $90 for a job he did last week, how many hours did he work?
Answer:
10 hours
Step-by-step explanation:
ok so we know he is getting payed $20 + $7 every hour so what i would do is keep the multiply the 7 till you get 70 so thats 7x10=70 and 70+20=90 so he worked for 10 hours last week :) i hope this helps, i tried my best to explain it
Which function has least rate of change?
O y = 4x + 5
O 3x - y = 9
O x + y = 8
0 4x + 2y = 8
Answer:
O 4x+2y=8.
Hope this helps you
Please help me >_< will give out brainliest
====================================================
Explanation:
We have an octagon because there are n = 8 sides. The diagram below shows one way to number the sides so you can count them efficiently (without missing any or double counting any).
----------------
Plug n = 8 into the formula below
S = 180(n-2)
S = 180(8-2)
S = 180(6)
S = 1080
The 8 interior angles add up to 1080 degrees.
A factory produces 80 % round and 20 % square buttons. Suppose that 10 % of theround buttons and 50 % of the square buttons are red. What is the probability that arandomly selected red button is square?
Answer:
5/9
Step-by-step explanation:
Let the total number of buttons is x.
Round buttons = 80% of x = 0.8xSquare buttons = 0.2xNumber of red buttons:
0.1*0.8x + 0.5*0.2x = 0.08x + 0.1x = 0.18xNumber of red square buttons is 0.1x
Required probability:
P = 0.1x/0.18x = 10/18 = 5/9Find the measure of angle C of a triangle ABC, if angle A=a and angle B= 2a.
*The answer is not 180-3a
The angle C of the triangle ABC is ( π - 3a ).
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
The angle will be calculated as follows:-
We know that the sum of the angles of the triangle is 180 degrees or π in radians.
∠A + ∠B + ∠C = π
a + 2a + ∠C = π
∠C = π - a - 2a
∠C = π - 3a
Therefore angle C of the triangle ABC is ( π - 3a ).
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write the volume formula beside the solid figure
Answer:
cube(v=l×l×l)
cylinder (v= πr^2h)
cone(v=1/3πr^2h)
rectangular prism (v= area of base×lenght)
pyramid (v=1/3×area of base×h)
Step-by-step explanation:
Cube:-a^3
Cuboid:-lbh
Cylinder :-pi r^2h
Cone:-1/3pi r^2h
which multiple choice answer is correct?
A, B, C or D?
Answer:
C
Step-by-step explanation:
ABD and CDB are both half of ABC
m∠ABD = m∠CBD
Because BD is the bisector of ∠ABC, so it divides it into 2 equal parts.
in the number 36,802 if the 8 was replaced with a 2 would the value increase or decrease
Answer:
decrease
Step-by-step explanation: