Answer:
y=15
x=43
(any variable can be used, I used x and y to make it easier to show)
Step-by-step explanation:
x+y=58
x-y=28
get x by its self
x=58-y
then subsitute into the other equation
(58-y)-y=28
58-2y=28
-2y=-30
y=15
sub. again
x+15=58
x=43
Find the slope of the line that passes through the
points (-4, 7) and (3,-2)
Answer:
-9/7
Step-by-step
Slope Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in the numbers 7 and -2 for the y and -4 and 3 for x
[tex]\frac{7-(-2)}{-4-3} =\frac{9}{-7}[/tex]
Please help I’m stuck
Answer:
On wat
Step-by-step explanation:
Answer: 2 Don't know
Step-by-step explanation:
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
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 estabilishes 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.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
The Unit Circle
What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)
a. 180°
b. 90°
c. 360°
d. 270°
Please select the best answer from the choices provided
Answer:
C. 360°
Step-by-step explanation:
I calculated it logically
Answer:
Answer is C) 360°
Step-by-step explanation:
What is the length of this line?
Answer:
I believe it is 9
Step-by-step explanation:
If you turn that into a triangle then find the area it is 9.
Hope this Helps!
Answer:
Think of it as a right triangle. You can use pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 3^2 = c^2
36 + 9 = c^2
45 = c^2
sqrt45 = c
Step-by-step explanation:
Last week Jovanna ran 30 miles
more than Rachel. Jovanna ran
47 miles. How many miles did
Rachel run?
Answer: 17 miles
Step-by-step explanation:
47 - 30 = 17
The map at the right has an Euler Path in which you can pass through each doorway exactly once. Which 2 rooms must be a starting or ending
to the Euler path?
Answer choice.
a) Room A and the Outside
b) Room A and Room D
c) Room B and Room D
d) Room E and the Outside
Answer:I think the answer is d
Step-by-step explanation:
4/5 of the magnets in George's collection are flags. 1/2 of those flags are U.S. flags.
What fraction of George's magnets are U.S. flags?
Answer: 2/5 are U.S. flags
4/5 divided by 1/2 = 0.4, which is equivalent to 2/5.
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 households with children revealed the following amounts. 7,077 5,744 6,753 7,381 7,625 6,636 7,164 7,348 8,060 5,848 9,275 7,052 Click here for the Excel Data File State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Is it reasonable to conclude that these households paid more interest than the survey result
Answer:
The null hypothesis is [tex]H_0: \mu = 6658[/tex]
Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.
The test statistic is [tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Step-by-step explanation:
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.
At the null hypothesis, we test if they paid the same, that is:
[tex]H_0: \mu = 6658[/tex]
At the alternate hypothesis, we test if they paid more, that is:
[tex]H_a: \mu > 6658[/tex]
Test statistic:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
State the decision rule for 0.05 significance level.
Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.
So
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.
6658 is tested at the null hypothesis:
This means that [tex]\mu = 6658[/tex]
Sample mean and standard deviation:
With the given data-set:
Mean of [tex]X = 7163.6[/tex]
Standard deviation of [tex]s = 902.25[/tex]
Sample of 12:
This means that [tex]n = 12[/tex]
Compute the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]
[tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Need help on this please
Area of the sector = 90/360 ×πr^2
=1/4 ×3.142×6×6
=1/4×113.112
=28.278kilometers square
Approximately 28kilometers square
Mae is checking her bicycle’s wheel. The wheel has a radius of 28 cm, and its center is 42 cm above the ground. Mae is rotating the wheel at a constant speed of 190°/s. The height of a point on the tire as a function of time is given by h = 42 + 28 sin(190t), where h is the height in centimeters and t is the time in seconds. Find h when t = 2 s. Find your answer to the nearest tenth of a centimeter.
Answer:
B. 51.6
Step-by-step explanation:
All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...
Find the value of x if the area is 22 square meters
Answer:
Step-by-step explanation:
(x-4)*x=21
x can be either 7 or -3
2 to the power of 8
Answer:
256??? I think???
Identify each number with an absolute value of 5/2
Answer:
5/2 and -5/2
sry i late
FIRST TO ANSWER GETS BRAINLYEST WHATEVER ITS CALLED, PLEASE I NEED THIS DONE TODAY. JUST LOOK AT THE PICTURE
Answer:
27.9
Step-by-step explanation:
3*3.1 = height = 9.3
9.3 * 3
Help me with number 10 pleaseeeeeeeeee
Answer:
4' - 9.64
Step-by-step explanation:
Total rise = 2' - 7"
Total run = 3' - 9"
Converting to inches :
1' = 12" ; 1 feet = 12 inches
2' = 2 * 12 = 24"
3' = 3 * 12 = 36"
Total rise = 24" + 7" = 31"
Total run = 36" + 9" = 45"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(31² + 45²)
Hypotenus = 54.644304"
= 4' - 9.64"
(X+3)2 + (y-7)2 = 28 what is the radius
100 Points!!!!!!!!!!!! HELP
Which of these represents the equation of the parabola with a focus at (−1,3) and a directrix at y = 7?
A
(x+1)2=8(y−5)
B
(x+1)2=−8(y−5)
C
(x−1)2=−8(y+5)
D
(x−1)2=8(y+5)
Answer:
d is the answer brainliest?
Step-by-step explanation:
PLZ HELP
Question 27
Robert wanted to find the most preferred newspaper among the youth in his city. Which method of sampling represents the most unbiased opinion?
Select the correct answer from the drop-down menu.
Survey 500 people aged above 50 who read newspapers
Survey 1,000 people aged below 25 who read newspapers
Survey 500 people aged above 25 who has access to internet
Survey 1,000 people aged below 50 who use news apps on their smartphones
Answer:
B. Survey 1,000 people aged below 25 who read newspapers
Step-by-step explanation:
It's the youth in the community so it's obviously people below 25 and we need more responses to get a more unbiased opinion.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
the answer is (0,2) (7,8)
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score
Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
Type your response in the box.
Determine a method other than graphing that could be used to solve this system of linear equations. Explain how to
solve the system of equations using this method.
Y=-x + 6
Y= 3x + 2
Answer:
x=1, y=5
Step-by-step explanation:
Seeing as both equations are equal to y, we can set them equal to each other to solve for x:
y=-x+6
y=3x+2
...
-x+6=3x+2
6=4x+2
4=4x
x=1
Since x=1, then y is:
y=-1+6=5
HELP PLS I NEED HELP
Answer:
is that a unit assesment?
Step-by-step explanation:
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Answer:
price of 23 toys=Rs276
price of 1 toys=Rs276/23 =Rs 12
price of 12 toys = Rs 12*12 =Rs 144
the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours
Answer:
10
Step-by-step explanation:
PLZ HELP ASAP!!! IM STUCK!!!!!
Answer:
78.5% chanceStep-by-step explanation:
the area of the square is 16 in² and the area of the circle is 12.566in² divide the two to get 0.7852 and then multipy by 100 to make a percentage
A right rectangular prism is made up of small cubes with side lengths of 1/8 inch. How many 1/8 inch cubes make up the right rectangular prism?
This question is incomplete
Complete Question
A right rectangular prism with dimensions 1 5/8 inches by 1 1/2 inches by 1 3/8 inches is made up of small cubes with side lengths of 1/8 inch. How many 1/8 inch cubes make up the right rectangular prism?
a) 429
b) 858
c) 1287
d) 1716
Answer:
d) 1716 cubes
Step-by-step explanation:
Step 1
Find the volume of the rectangular the rectangular prism
Volume = Length × Width × Height
Length = 1 5/8 inches
Width = 1 1/2 inches
Height = 1 3/8 inches
Hence, Volume = 1 5/8 inches × 1 1/2 inches × 1 3/8 inches
= 13/8 inches × 3/2 inches × 11/8 inches
= 429/128 cubic inches
Step 2
We find the volume of 1 cube
Volume = (side length)³
= (1/8 Inches)³
= 1/8 × 1/8 × 1/8
=1/512 cubic inches
From the above question
The number of 1/8 inch cubes make up the right rectangular prism is calculated as:
= Volume of right rectangular prism ÷ Volume of 1 cube
(429/128)cubic inches ÷ (1/512) cubic inches
= 429/128 × 512/1
= 429 × 4
= 1716 cubes
Therefore, the number of cubes in the rectangular prism is 1716 cubes.
big help someone clutch up for me.TIMED!!
Answer:
B. 5
Step-by-step explanation:
Given expression;
n(n - x) = 25
From the given expression, x = 0
Substitute the value of x into the given equation and solve for n;
n(n - 0) = 25
this equation reduces to;
n(n) = 25
simplifying further to obtain the value of n;
n² = 25
n = √25
n = 5
Therefore, the correct option is B.
Find the height of the flagpole to the nearest meter.
40
33
20
27
Answer:
40Step-by-step explanation:
I think 40 because it's to long lineCircle O and circle P are congruent. What can you conclude from the diagram?
Answer:
We can only infer that OA=OB=PD=DE.
Step-by-step explanation:
Since, if two circles are congruent then their radius must be equal.
And, here A and B are the points in the circumference of circle O therefore, the distance of these points from the center O of the circle is the radius of the circle.
So, OA=OB. ( if we join the points O and C then OA=OB=OC)
Similarly, In Circle P, PE= PD. ( if we join the points P and CF then PD=PE=PF).
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Credits to: parmesanchilliwack
