-1<9+n<17 and graph the answer after
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
15% of the skittles in andys bag are green. how many skittles are in the bag if 9 of them are green
Answer:
60
Step-by-step explanation:
9/15=0.6
0.6x100=60
Find the percent change from the first value to the second.
60; 90
Answer:
Step-by-step explanation:
90 is half again as much as 60: 60 + (1/2)(60) = 90
This is a 150% increase.
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Analysis of variance is used to ______. A. simultaneously compare several population means B. compute a t test C. compare nominal data D. compare population proportions
Answer:
"Option A" is the right alternative.
Step-by-step explanation:
ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance. Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.Other provided preferences weren’t comparable to the same circumstances in question.
if we need to decrease the standard deviation of the sampling distribution by half what do we need to do to the sample size
Answer:
The answer is below
Step-by-step explanation:
For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) = μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]
Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:
[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]
To decrease the standard deviation of the sampling distribution by half we need a sample size of 4
Which graph represents this system? 2x-5v=-5 y=-3x+1
Answer:
Please check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the system of equations
2x - 5y = -5 --- [Equation 1]
y = -3x + 1 --- [Equation 2]
converting the equation 1 in the slope-intercept form
2x - 5y = -5
5y = 2x+5
divide both sides by 5
y = 2/5x + 1
Thus, the y-intercept = 1
Now, please check the attached graph below.
The red line represents the equation 2x - 5y = -5
From the graph, it is clear that the red line has the y-intercept y = 1.
Now, considerng the equation 2
y = -3x + 1
comparing with the slope-intercept form of line equation
The y-intercept b = 1
Hence, the y-intercept of the line y = -3x + 1 is y = 1
The green line represents the equation y = -3x + 1
From the graph, it is clear that the green line has the y-intercept y = 1.
Point of Intersection:
It is clear from the graph:
The red line represents the equation 2x - 5y = -5.The green line represents the equation y = -3x + 1.As both lines meet or intersect at the point (0, 1).
Therefore, the point of intersection of both the lines is:
(x, y) = (0, 1)
As we know that the point of intersection of both the lines represents the solution to the system of equations.
Therefore, (0, 1) on the graph represents the solution to the system of equations.
The graph is attached below.
what a ratio of 4 days to 36 hours
Answer:
4:36
24 x 4:36
96:36
8:4
1day = 24 hours
Step-by-step explanation:
2+4x=2(2x+1)
Which statements are true?
Select each correct answer.
There is no value for x that will make the equation true.
The equation is an identity,
The solution is 2.
There are infinitely many solutions.
The equation is a contradiction.
There are no solutions.
The equation is true for all values of x.
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
Find the indicated probability. In one town, 71% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance
Answer:
0.254
Step-by-step explanation:
Given that:
Percentage of those having health insurance = 71%
p = 71 / 100 = 0.71
Number of adults selected at random, n = 4
Probability that 4 selected have health insurance :
p^n = 0.71^4 = 0.25411681
= 0.254
Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.
Answer:
Step-by-step explanation:
exponential decay
rate of change: 20%
What is the number based on the list of factors? 1,3,7, __
Please help
Answer:
21 I think, might be wrong.
I need help ASAP no rocky
Answer:
no rocky
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
I think it's C and I am always right so it is C! You're welcome!
Find the length of dm in the given fig.
Answer:
[tex]DM=12[/tex]
Step-by-step explanation:
(Let the point where the altitude from [tex]D[/tex] intersects [tex]AB[/tex] be called as point [tex]E[/tex].) First, let's find the area of parallelogram [tex]ABCD[/tex]. The area of a parallelogram is simply [tex]b*h=bh[/tex], where [tex]b[/tex] is the parallelogram's base and [tex]h[/tex] is the parallelogram's height. If we let [tex]AB[/tex] and [tex]DE[/tex] be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram [tex]ABCD[/tex] will be [tex]AB*DE=15*8=120[/tex].
Now, how does this information matter, you might ask? Well, we can take either [tex]AB[/tex] or [tex]CB[/tex] to be the base and either [tex]DE[/tex] or [tex]DM[/tex] to be the height. In this case, let's take the latter two options, as we are looking to find the length of [tex]DM[/tex].
Therefore, we know that the area of parallelogram [tex]ABCD[/tex] can also be found by calculating [tex]CB*DM[/tex]. Since we know the values of the area and [tex]CB[/tex], we can write the following equation to solve for [tex]DM[/tex]:
[tex]Area = CB*DM[/tex]
[tex]120=10*DM[/tex] (Substitute [tex]Area=120[/tex] and [tex]CB=10[/tex] into the equation)
[tex]\frac{120}{10}=\frac{10*DM}{10}[/tex] (Divide both sides of the equation by [tex]10[/tex] to get rid of [tex]DM[/tex]'s coefficient)
[tex]12=DM[/tex] (Simplify)
[tex]DM=12[/tex] (Symmetric Property of Equality)
Hope this helps!
Meg is packing a shipping conditier.
There is one section of the shipping container that has not yet been packed. The space available is in the shape of rectangular
prism that measures 2 feet by 3 feet by 33 feet.
She will pack as many boxes into the available space as possible. Each box is in the shape of a cube with side length 1 foot.
The space available in the shinning container and one of the boxes are shown below.
Answer:
[tex]Boxes= 198[/tex]
Step-by-step explanation:
This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.
We have the following given parameters.
Shipping Container
[tex]Dimension: 2ft\ by\ 3ft\ by\ 33ft[/tex]
The box
[tex]Dimension: 1ft\ by\ 1ft\ by\ 1ft[/tex]
First, we calculate the volume of the shipping container.
[tex]V_A = 2ft * 3ft * 33ft[/tex]
[tex]V_A = 198ft^3[/tex]
Next, we calculate the volume of the box.
[tex]V_B = 1ft * 1ft * 1ft[/tex]
[tex]V_B = 1ft^3[/tex]
The number of box is then calculated as:
[tex]Boxes= \frac{V_A}{V_B}[/tex]
[tex]Boxes= \frac{198ft^3}{1ft^3}[/tex]
[tex]Boxes= \frac{198}{1}[/tex]
[tex]Boxes= 198[/tex]
Hence:
198 boxes will occupy the empty space
Michelle is hosting a party that starts at 6:00 PM. She realizes she did not freeze the ice cubes! She puts ice cubes in the freezer at 1:00 PM hoping they freeze by the time the party starts. The water is 82 degrees Fahrenheit when put into the freezer and will freeze when it reaches 32 degrees Fahrenheit. In Michelle's freezer the water cools to 80% of the temperature from the previous hour. Will the ice cubes freeze before the party starts?
Answer:
2 hours?
Step-by-step explanation:
I put it in a calc
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
please help and can someone explain what a integer is
w = -18
x = -10
y = -2
z = 10
x and z are opposite, x= -10, where as z = 10, Hence x times (-1) equals z.
An integer is a non-fractional number real number. It can be either negative or positive, it simply cannot be a fraction.
"w", "x", and "y" are negative, and hence less than zero.