Help 10 pts!
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the blue region?
Round answer to the nearest whole percentage?
A. 49%
B. 59%
C. 69%
D. 79%
Answers
Answer:
D. 79%
Step-by-step explanation:
Took the the on USA Test prep
If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.
What is the probability?The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.
It is given that, the length=20, the width=10, and the radius of half circle=10.
Calculate the area of the rectangle.
Knows the area of the rectangle is the product of length and width.
So,
[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]
Calculate the area of the half-circle.
Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].
So,
[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]
Calculate the probability that it will be in the blue region.
Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
So,
[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]
Thus, the correct answer is an option (D). i.e., 79%.
Learn more about the probability, here
https://brainly.com/question/24756209
Related Questions
A triangle has angle measures of 47 degrees and 92 degrees. What is the measure of the third angle?
Answers
Answer:
The missing angle is 41 degrees
Step-by-step explanation:
First of all, a triangle is measured at 180 degrees in total
To find the missing measurement for the third angle, add the 47 and 92 degrees together which would equal 139 degrees.
47+92=139 degrees
Next just subtract 139 from 180 to get your answer.
180-139=41 degrees
The answer is 41 degrees
Hope this helps
Of the marbles in a bag, 5 are blue, 2 are white, and 2 are yellow. Sandra will randomly choose one marble from the bag.
Answers
Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given that,
A bag contains 5 blue, 2 white and 2 yellow marbles.
We need to find the probability of choosing a white marble from the bag.
Total no. of outcomes = 5+2+2
= 9
No. of white marbles = 2
Required probability,
[tex]P=\dfrac{2}{9}[/tex]
So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].
Which graph best represents the equation 2x + 4y = -8?
Answers
Answer:
y = -1/2x - 2
Step-by-step explanation:
2x + 4y = -8
4y = -2x - 8
y = -1/2x - 2
Sophia spent $32.16 on four sandwiches. If each sandwich cost the same amout, how much does one sandwich cost.
Answers
Answer:
Step-by-step explanation:
32.16 / 4 = 8.04
$8.04
Find the distance between A and B
Answers
Answer:
11 units
Step-by-step explanation:
what would be the answer
Answers
Answer:
B= 21.195
Step-by-step explanation:
Inner circle area = 3.14×1.5×1.5=7.065
Outer circle area = 3.14× 3×3 = 28.26
3 is the radius of the outer circle
Area of the shaded portion is = area of outer circle - area of inner circle
28.26-7.065=21.195
Answer B= 21.195
(NO LINKS)!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answers
Answer:
(3+5) = 8 times 8 = 64 64+(8-11)+Z=64+(-3) + Z=62+z= 62+2 = 64
64
Step-by-step explanation:
Can someone please help me answer this question asap thank you
Without a link thank you .
Answers
Answer:
-1.4, -.7 .003, 3%(.03), .3, .66(2/3) .85 (7/8) 0.875, 100/50 (2)
Step-by-step explanation:
DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9
Answers
Answer: The answer is b !
Image attached should help
The line of best fit is:
y = 3.1x + 12.9
Option A is the correct answer.
We have,
The line of best fit can be expressed in the form of y = ax + b,
where a is the slope of the line and b is the y-intercept.
From the given LinReg results, we have:
a = 3.1
b = 12.9
Substituting a and b in the equation y = ax + b we get,
The line of best fit is:
y = 3.1x + 12.9
Thus,
The line of best fit is:
y = 3.1x + 12.9
Learn more about the line of best fit here:
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#SPJ7
My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.
Answers
The ladder should be 10 inches in length
The ratio of Warrior fans to Laker fans at a basketball game was 5 to 3. If
there were 21 Laker fans, how many Warrior fans are there
Answers
Answer:
35
Step-by-step explanation:
Create a proportion where x is the number of Warrior fans
[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{21}[/tex]
Cross multiply and solve for x
105 = 3x
35 = x
So, there were 35 Warrior fans
Answer:
[tex] \bf\huge warrior \: fans = 35[/tex]
Step-by-step explanation:
Given that :The ratio of Warrior fans to Laker fans at a basketball game was 5 to 3.If there were 21 Laker fans.to find :how many Warrior fans are there.let us assume :warrior fans is X .explanation :finding the warrior fans
⟼ warrior : laker fans = 5 : 3 = x : 21
⟼ 5 : 3 = x : 21
⟼ [tex]\frac{5}{3} \times \frac{x}{21} [/tex]
⟼ x = 5 × 7
⟼ x = 35.
⟼ warriors fans = 35.
∴ laker fans is 21 and warriors fan is 35.
∴ warriors : laker fans = 5 : 3 = 35:21.
Lul help me please I qkkakqk
Answers
Answer:
So what it gives you Y you put that into the equation so since in your case Y=x-1 you put that into the equation and then find X
y=3 x=4
Step-by-step explanation:
Write the equation of the line in slope intercept form that passes through the point (4,7) and is parallel to y = -7x + 8.
Answers
Answer:
y= -7x + 35
Step-by-step explanation:
(y - 7) = -7(x - 4)
y-7 = -7x + 28
y = -7x + 35
Guys pls help me!!!!!!
Answers
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Which temperature is warmer, -2 degrees Celsius, or -5 degrees Celsius?
-2
-5
Answers
Answer:
-2 is warmer the -5 degrees
Answer:
-2 Celsius
Step-by-step explanation:
The negative degrees in Celsius work the same way as Fahrenheit
The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5
Determina el valor de verdad de cada uno de los siguientes enunciados. Justifica tu respuesta
1. Si lim→ () y lim → () existen, entonces lim → () () existe.
Answers
Answer:
nsfd bgvhjbkjn
Step-by-step explanation:
Plz helps brainlist and points also Q's in the photo its math
Answers
answer :
A, C, and D
hope this helps:)
Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, she sold a total of 91 candles and made $572.
how many tall candles did she sell?
how many short candles did she sell?
Answers
Answer:
tall candles = 39
Short candles = 52
Step-by-step explanation:
let tall candles be x
and short candles be y
No. Of candles sold = x + y =91
Money made from candles will be equal to = 8x + 5y = $572
These both are simultaneous linear equations.
x + y =91 ( multiply by 5)
5x + 5y = 455
8x + 5y = $572
Subtract them:
-3x = -117
x = -117/3
x = 39
put value of x in
x + y = 91
39 + y = 91
y = 91 - 39
y = 52
x shows tall candles so they are 39
y shows short candles so they are 52
Could someone help? And quick cause im getting ready for bed!!
Answers
Answer:
help with what? could you add a picture?
Claudia works at a sweet shop making chocolate-dipped bananas. Sometimes she drops the chocolate-
dipped bananas before she can get them to the freezer. Claudia earns 20 cents for every frozen banana that
she makes. She loses 5 cents for each frozen banana that she drops. Last Wednesday, Claudia dipped 48
frozen bananas, but not all of them made it to the freezer. She earned a total of $7.60. How many bananas
were dropped and how many made it to the freezer? Define your variables and write a system of
equations representing this situation. Solve the system by using either graphing, substitution, or
elimination.
Answers
Here is the work i did for it!
Please help help me please ASAP
No links or files
This is for brainies
Answers
Answer:
quadrant 2
Step-by-step explanation:
i hope this helps :)
Could someone give me a hand?
Answers
Answer:
30
Step-by-step explanation:
Look at the image I attached for reference as I explain. (I only labeled the angles that are relevant to the problem)
These triangles are congruent, as shown by the first equation.
When triangles are congruent, it means that the sides and angles are the same.
We can see that angles ∠ABC and ∠DEC are corresponding, which means that they have the same value.
We don't know ∠DEC, but we have two angles in that triangle that we do know. Since the angles in a triangle add up to 180, we have this equation:
180-65-55=∠DEC
60 = ∠DEC
So now we know that ∠DEC is 60 degrees.
Since ∠ABC and ∠DEC are equal:
2x=60.
Divide both sides by 2, and we get x =30.
The question is in the image
Answers
Answer:
2.2 miles
Step-by-step explanation:
Coordinates of Joe's home = (2, 3)
Coordinates of the park = (1, 1)
The shortest distance = the distance between the two points
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the shortest distance.
Where,
[tex] (2, 3) = (x_1, y_1) [/tex]
[tex] (1, 1) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(1 - 2)^2 + (1 - 3)^2} [/tex]
[tex] d = \sqrt{(-1)^2 + (-2)^2} [/tex]
[tex] d = \sqrt{1 + 4} [/tex]
[tex] d = \sqrt{5} [/tex]
[tex] d = 2.2 [/tex] (nearest tenth)
Shortest distance between Joe's home and the park = 2.2 miles
is y=1/4x+1/3 proportional or non proportional
Answers
Answer:
non proportional
Step-by-step explanation:
What is the Mean , Median , Mode , Range for
9,6,7,5,3
Answers
Answer:
the mean is 6
the median is 6
the mode there is none
the range is 6.
Answer:
There is no mode. (they all appear once)
The lowest number is 3 and the highest is 9, so the range is 6.
The mean is the average, add them all up (30) and divide by the number of data sets (5). The average is 6.
I have to go to dinner so maybe let someone else help with the median? The median is the middle, so you have to order them and find the middle. Hope it helped!
Q1 (pic 1)
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 35.
Question 1 options:
Angle W
Angle Y
Angle C
Angle B
Angle Z
Angle A
Q2 (pic 2)
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
Question 2 options:
True
False
Answers
Answer:
Question 2 = True
I don't know the first question, the test wouldn't tell me:/
Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35 and the statement that Sin B is greater than Sin Y is false.
What is a similar triangle?The two triangles are said to be similar that have the same proportion of sides and angles.
Corresponding sides are in the same ratio.
a/p = b/q = c/r
In triangle ABC
AB = 5, AC = 3, BC = 4
Cos A = base/ hypotenuse
= 3/5
Cos B = base/ hypotenuse
= 4/5
Cos C = base/ hypotenuse
= 3/5
In triangle WYZ
Cos W = base/ hypotenuse
= 3/5
Cos Z = base/ hypotenuse
= 4/5
Hence, Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35.
In triangle WYZ
WY = 13
In triangle ABC
CB = 24, AC = 10
Sin B = Perpendicular/ hypotenuse
= 10/26
Sin Y = Perpendicular/ hypotenuse
= 5/13
Since both angles are equal also they are similar to each other.
Therefore, the statement that Sin B is greater than Sin Y is false.
Learn more about similar triangles;
https://brainly.com/question/25813512
What is the complete factorization of
8y3 – 4y2 + 10y?
Answers
A circular plate has circumference 30.8 inches. What is the area of this plate? Use 3.14 for t.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answers
Answer: 745 (about)
Step-by-step explanation:
A=πr2
A =π (15.4)^2
A=π (237.16)
A= 745.06
A= 745 (with rounding)
Answer:
The area of the plate is about 76 square inches
Step-by-step explanation:
i had this on a test ... and i got this question right if your problem is worded the same way then the answer is 76 :)
Please help! If you do you will get 'Brainliest'
Answers
Answer:
D is your answer.
Step-by-step explanation:
if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half
Answer:
answer (-1) because from a if u minus 2 1/2 u get (-1)
Cost of shopping trip: $25.00
Find tax amount at 5%
$30.00
$26.25
$1.25
$5.00
Answers
Answer:
$1.25
Step-by-step explanation:
Given: the cost of the shopping trip is $25.00
They want us to find the tax amount at 5%.
Saying that we need to find the 5% of the $25.00.
Convert 5% to 0.05, then take it times 25.
$25 x 0.05 = $1.25
That should give you the 5% of the $25.
If you add $25.00 and the $1.25 together, it should give you $26.25, included with the tax.
Answer:
26.25
Step-by-step explanation:
first we have to add 25.00 plus 5%