Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠ A + ∠ C = 180 o = ∠ B + ∠ D
⇒ 2 x+ ( 3 x − 5 ) = 180 0 = ( x + 5 ) + ∠ C
5 x − 5 = 180
Add 5 to both sides
5 x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
The equation to use to find angle m∠3 is 180 - m∠1.
Option B is the correct answer.
We have,
In a quadrilateral the opposite angle is supplementary.
This means,
The sum of the opposite angles is 180.
Now,
m∠1 + m∠3 = 180
Solving for m∠3.
m∠3 = 180 - m∠1
Thus,
The equation to use to find angle m∠3 is 180 - m∠1.
Learn more about quadrilaterals here:
https://brainly.com/question/1563728
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Admission to the carnival is $10 plus $2 per ride. John spent $38 on admission and
rides. Write and solve an equation to find how many rides John went on.
Answer:
he went on 14 rides.
Step-by-step explanation:
take your total, 38, subtract that by 10 (because you have to pay the admission fee) and you have 28 dollars spent on rides. each ride costs 2 dollars so divide 28 by 2 and you get 14.
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150 with a standard deviation of $7,350. A sample of 36 homes for sale in this subdivision had an average selling price of $123,550. The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed? Compute the test value.
Answer:
The test value is z = -1.31.
Step-by-step explanation:
The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150.
This means that the null hypothesis is that the mean is this value, that is:
[tex]H_0: \mu = 125150[/tex]
The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed.
This means that at the alternate hypotehsis we test that the mean is lower than that value, that is:
[tex]H_a: \mu < 125150[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
125150 is tested at the null hypothesis:
This means that [tex]\mu = 125150[/tex]
Standard deviation of $7,350.
This means that [tex]\sigma = 7350[/tex]
A sample of 36 homes for sale in this subdivision had an average selling price of $123,550.
This means that [tex]n = 36, X = 123550[/tex]
Compute the test value.
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{123550 - 125150}{\frac{7350}{\sqrt{36}}}[/tex]
[tex]z = -1.31[/tex]
The test value is z = -1.31.
5(2x+1)=50
how do i find x
Answer: 4.5
Step-by-step explanation:
[tex]5(2x+1)=50\\\\2x+1=10\\\\2x+9\\\\x=\boxed{4.5}[/tex]
sketch the graphs of y= sin x, y= sin 2x, and y=2 sin x. describe how the graphs are alike and how they are different
Answer:
Step-by-step explanation:
The graphs can be seen in the picture attached below where
y= sin x is the red wave
y= sin 2x is the blue wave
y=2 sin x is the green wave
Each graph is obviously a wave in shape but where they all differentiate is in the frequency and amplitude of the wave. Meaning how often a wave cycle repeats in the functional and how high and low the wave cycles actually get. That is where the difference takes place sinx has wider wave cycles than the other two. sin2x has the shortest wave cycles, almost twice for everyone red wave cycle. While 2sinx has the highest and lowest amplitude of all of the waves.
what is the measure of angle KIT?
Answer:
80°
Step-by-step explanation:
In rhombus, opposite angles are equal. i.e <KET = <KIT
Triangle KET is isoceles, which means both parts of angle E are equal.
Angle E = 40 + 40
Angle E = 80
If angle E is 80 than Angle I is also 80.
Help me pls. You will get a lot of points
Answer:
2y = 7
y = 3 1/2
Step-by-step explanation:
I need the answer please for a and b
Step-by-step explanation:
2x + x+4+x = 180
4x = 176
x = 44
A 88
B 48
C 44
through: (3,0), parallel to y = 2/3x+1
Answer:
y = 2/3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 2/3x + 1. Its slope is 2/3. A line parallel to this one will also have a slope of 2/3.
Plug this value (2/3) into your standard point-slope equation of y = mx + b.
y = 2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (3, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 2/3(3) + b
To find b, multiply the slope and the input of x (3)
0 = 2 + b
Now, subtract 2 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 2/3x - 2
This equation is parallel to your given equation (y = 2/3x + 1) and contains point (3, 0)
Hope this helps!
Nina is buying fabric to make placemats. For every
4
4
placemats she makes she needs
5
5
square feet of fabric.
If Nina is making
5
5
placemats, how many square feet of fabric does she need?
Nina needs
Answer:
6.25 feet squared of fabric needed
Step-by-step explanation:
4:5 placemats:fabric
then
5:6.25
Will give brainlst
Have a nice day
Answer:
D] 5.4 units
Step-by-step explanation:
explanation is in the picture.
PLEASE HELP
Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Answer the following questions based on the data in this bar graph.
⦁ What percentage of children voted for the Action movie? Show your work. Round to the nearest percent if needed.
⦁ Which movie received 20% of the total votes? Show your work.
Answer:
• 25%
• Drama movie
Step-by-step explanation:
• Total number of children
= 16 +12 +18 +20 +14
= 80
Percentage of children that voted for action movie
[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]
[tex] = \frac{20}{80} \times 100\%[/tex]
[tex] =\textbf{25\%}[/tex]
------------------------------------------------------------
• Total number of votes
= 30 +32 +36 +36 +26
= 160
20% of total votes
= 20% ×160
= 32 votes
Since Drama movie received 32 votes, it received 20% of the total votes.
Which expression is equivalent to 25x – 10y?
Answer:
5(5x-2y)
Step-by-step explanation:
To find the equivalent expression, you can perform the distributive property for each equation. for a, you multiply 5 by each term in the parentheses. you will get 25x-10y.
Hope this helps!
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
Find an equation of joint variation. Then solve for the missing value.
a varies jointly as b and c.
One set of values is a = 2.4, b = 0.6, and c = 0.8.
Find a when b = 0.4 and c = 0.4.
a = 0.8
a = 1.2
a = 0.032
a = 1.6
Click on the correct answer
Answer:
a = 0.8
Step-by-step explanation:
a varies jointly as b and c.
This means that a can be written as a constant k multiplied by b multiplied by c, that is:
[tex]a = kbc[/tex]
One set of values is a = 2.4, b = 0.6, and c = 0.8.
We use this to find the value of k:
[tex]2.4 = k(0.8)(0.6)[/tex]
[tex]0.48k = 2.4[/tex]
[tex]k = \frac{2.4}{0.48}[/tex]
[tex]k = 5[/tex]
So
[tex]a = 5bc[/tex]
Find a when b = 0.4 and c = 0.4.
[tex]a = 5bc = 5(0.4)(0.4) = 5(0.16) = 0.80[/tex]
The answer is a = 0.8.
Find the value of x
Answer:
x=135
Step-by-step explanation:
The two angles are supplementary, meaning they both add up to 180°.
So to find the value of one angle, simply subtract 50 from 180.
180-50=130
So now we know that 130 is equal to the expression.
x-5=130
Add 5 to both sides.
x=135
PLSS HELP
Find the area of the triangle or quadrilateral
Answer:
Green = 13.5 ft²
Blue = 42 in²
Step-by-step explanation:
Green: 6+3=9
9÷2=4.5
4.5x3=13.5
Blue: 8+13=21
21÷ 2=10.5
10.5x4=42
Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.
Answer:
10.3
Step-by-step explanation:
Recall SOH, CAH, TOA
In this case we have the hypotonouse is given (the hyptonouse is the side that is opposite from the right angle) and we need to solve for the opposite
therefore we will use SOH
we have
sin(69)=x/11
11*sin(69)=x
x=10.269
which rounds to
10.3
Answer:
[tex] \displaystyle \: x= 10.3[/tex]
Step-by-step explanation:
we are given hypotenuse and [tex]\theta[/tex]
we want to figure out x (opposite)
remember that,
[tex] \displaystyle \: \sin( \theta) = \frac{opp}{hypo} [/tex]
here our [tex]\theta [/tex] is 69°
and hypo is 11 and opp is x
so substitute:
[tex] \displaystyle \: \sin( 69 ^{ \circ} ) = \frac{ x}{11} [/tex]
cross multiplication:
[tex] \displaystyle \: x= 11 \sin( 69 ^{ \circ} ) [/tex]
by using calculator:
[tex] \displaystyle \: x= 10.3[/tex]
Find the area of the kite.
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with theâ drug, 20 subjects had a mean wake time of 90.7 min and a standard deviation of 43.7 min. Assume that the 20 sample values appear to be from a normally distributed population and construct a 98â% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Find the confidence interval estimate.
Answer:
67.9 min < μ < 113.5 min
Step-by-step explanation:
Calculation to determine the confidence interval estimate
First step is to find alpha (α/2)
α =1-0.98
α=0.02/2
α= 0.01
Second step is to determine ± zα/2
z-score of 1.0000 - 0.0100 = .9900 using normal distribution table
z-score = ± 2.33
Now Let determine the confidence interval estimate using this formula
X ± zα/2(σ/√n)
Where,
Confidence Interval (CI) = .98
X = 90.7
n = 20
σ = 43.7
Let plug in the formula
Confidence interval estimate = 90.7 ± 2.33 (43.7/√20)
Confidence interval estimate= 90.7 ± 22.76786775
Confidence interval estimate=90.7 - 22.76786775 < μ < 90.7 + 22.76786775
Confidence interval estimate= 67.9 min < μ < 113.5 min
Therefore the confidence interval estimate will be 67.9 min < μ < 113.5 min
can anyone help? been stumped for a while
Answer:
72
Step-by-step explanation:
162= 4x+8+6x-6
160=10x
x=16
4(16)+8== 72
The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:
A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 40 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 50.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)
PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.
Step-By-Step:
To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),
60-40 = 20
= 20.
20 is the IQR
PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.
Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.
Best of luck,
Some 6th grader.
PART A: Two pieces of information that are included by the graph are the minimum value (20) and the maximum value (95). One piece of information that is not included in the graph is the number of students who surf the internet. (this one doesn't really need a step by step because it is just analyzing a graph)
PART B: The IQR is equal to 20. The IQR represents the mid-spread, or 50% of the data.
Step-By-Step:
To find the IQR, you need to subtract the first quartile from the third quartile. So to find the IQR we would need to subtract 60 (Q3) and 40 (Q1),
60-40 = 20
= 20.
20 is the IQR
PART C: If an outlier is present, it may affect the mean, but will not change the median or the mode.
Step-By-Step: An outlier is an abnormally large (or small) number in a given data set.
Best of luck,
Awesome (like me) Fellow sixth grader :)
it's all in the photo pls help.
Answer:
Answer B
Step-by-step explanation:
find the area of a circle if its circumference is 10 pi
Answer:
25π
Step-by-step explanation:
pi's symbol is π, which will be used sometimes to make it easier later
The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)
We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.
Half of 10 is 5, the radius.
The formula for area of a circle is radius squared times pi, remember easily by π r ^2
We can plug in the radius into the formula to get
π 5 ^2
And finish it by solving the square root to get
π 25
25π
what percentage of 4m is 20cm
Answer:
5%
Step-by-step explanation:
How many centimeters are in one meter? (Hint: 100)
How many centimeters are in four meters? (Hint: Multiply by 4)
What fraction expressions 20 centimeters as a portion of four meters (when the meters are expression in centimeters)?
After doing the division indicated by the fraction, what decimal do you get?
After moving the decimal point two places to the right, what percentage do you get?
Your answer should be somewhere between 3% and 15%.
Hope you found this helpful!!
THANK YOU!
∝ Sidhdi
What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1
Answer:
The answer is -0.828
Step-by-step explanation:
I took the quiz and i gt this question correct, hope it helps!
The r-value of the given data is 0.374.
What is a correlation coefficient?The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.
It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.
We have,
First, we need to find the correlation coefficient (r) of the given data.
We can use the following formula to do this:
r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]
where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.
Using the given data, we can calculate the values as follows:
n = 5
∑x = 39
∑y = 53
∑(xy) = 442
∑x^2 = 483
∑y^2 = 1249
Substituting these values into the formula, we get:
r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]
r = [2210 - 2067] / [√(2415) √(5660)]
r = 143 / (61.898 75.245)
r = 0.374 (rounded to three decimal places)
Therefore,
The r-value of the given data is 0.374.
Learn more about correlation coefficient here:
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thric
b. The perimeter of a square room is 48m, how much square metre carpet is
required to cover it?
Answer:
144
Step-by-step explanation:
A square room has all sides the same length
the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.
Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip
Answer:
$47
Step-by-step explanation:
Given data
Cost= $50
Tax= 4%
Tip= 10%
Let us find the amount of the Tax
=4/100*50
=0.04*50
=$2
Let us find the amount of the Tip
=10/100*50
=0.1*50
=$5
Hence the total amount is
=50+2-5
=52-5
=$47
what is the simplified form of the following expression?
Answer:
itd be the last one
Step-by-step explanation:
because of the process lol
SOMEONE PLEASE HELP!!!!
Answer:
ijhofhoiffho[hoi[hjkkhj
Step-by-step explanation:
e3gyqi3rqrqugrqugfugfufgfiohwefuohfewihuiu
5) What is the distance between the points (3,-5) and (5,6)?
A) 125
B) 11.2
C) 100
D) 10