Answer:
17 units
Step-by-step explanation:
The radius r is the distance from the centre of the circle to a point on it.
To calculate r use the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)
r = [tex]\sqrt{(8+7)^2+(7+1)^2}[/tex]
= [tex]\sqrt{15^2+8^2}[/tex]
= [tex]\sqrt{225+64}[/tex]
= [tex]\sqrt{289}[/tex]
= 17
Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for x and BD. Give both answers below.
Answer:
x = 10
BD = 74
Step-by-step explanation:
Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.
Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.
Answer:
x=10 and BD=74
Step-by-step explanation:
In a rectangle, the two parts of the diagonals are always equal to each other. This means that AE=CE=BE=ED.
So, if AE is 3x+7, this means DE and BE are also 3x+7, so BD is twice that, or 2(3x+7) which when you multiply it is 6x+14.
Oh, also, since it says CE=37, this means that 3x+7=37
3x+7=37
-7 -7
3x=30
x=10
Now that you know that BD is 6x+14, and x is 10, simply multiply it.
6(10)+14=BD
60+14=BD
74=BD
Which graph represents 2x - 3y less than or equal to 9?
Answer:
answer is c
Step-by-step explanation:
I NEED HELP QUICK!!
6 in group A saw results, 7 in group B saw results, 5 in group C saw results, 4 in group D saw results.
Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
Part 2:
What is the probability that a person saw results, given the received the power pill? What is the probability that a person saw results, given they received a placebo? Explain in terms of study.
Part 3:
What is the probability that a person received the placebo, given they did not see results? What is the probability that a person received the power pill, given that they did not see results? Explain in terms of the study.
Answer:
1) Each group is composed of 10 people. They either saw results or don't saw results.
saw results no results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10
Total 22 18 40
Probability of a group seeing results:
Group A: 6/10 = 0.6
Group B: 7/10 = 0.7
Group C: 5/10 = 0.5
Group D: 4/10 = 0.4
Probability of a group not seeing results:
Group A: 4/10 = 0.4
Group B: 3/10 = 0.3
Group C: 5/10 = 0.5
Group D: 6/10 = 0.6
2) Groups A and B received the Power Pill.
What is the probability that a person saw results, given they received the power pill?
(6+7)/20 = 0.65
Groups C and D received the placebo.
What is the probability that a person saw results, given they received a placebo?
(5+4)/20 = 0.45
3) What is the probability that a person received the placebo, given they did not see results?
(5+6)/18 = 0.61
What is the probability that a person received the power pill, given that they did not see results?
(3+4)/18 = 0.39
Answer:
Results
No Results
Totals
Group A
6
4
10
Group B
7
3
10
Group C
5
5
10
Group D
4
6
10
Totals
22
18
40
Using the data above, please calculate each probability:
The probability for Group A to see results ___15%___.
The probability for Group A to see no result___10%____.
The probability for Group B to see results __17.5%____.
The probability for Group B to see no result___7.5%____.
The probability for Group C to see results ___12.5%___.
The probability for Group C to see no result___12.5%____.
The probability for Group D to see results ___10%___.
The probability for Group D to see no result___15%____.
TASK 2 Part 2
What is the probability that a person saw results given they received the power pill? __65%____
What is the probability that a person saw results given they received the placebo? ___45%___
Show your work and explain in terms of the study using the data from Part 1
The probability that a person saw results and a power pill is 65%. The probability that the person was given the placebo and saw results is 45%. 65% of the people that were given the pill saw results, and 45% did not.
TASK 2 Part 3
What is the probability that a person received the placebo given that they did not see results?
61.111111%
What is the probability that a person received the power pill given that they did not see results?
38.88888%
Show your work and explain in terms of the study using the data from Part 1
PB- (5+6)/18 = 0.61 x 100
PP- (3+4)/18 = 0.38 x 100
Step-by-step explanation:
What is the true solution to the equation below?
In elnx+In einx? - 2 in 8
X= 2
X=4
X=8
X = 64
Answer:
X=4
Step-by-step explanation:
Hope this helps!
Have an awesome week!
The solution is, the true solution to the equation below is x=4.
What is quotient and product rule of logarithm?Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.
Formula to be used,
log〖(ab)=loga+logb 〗
〖log(〗〖a/b)=loga-logb 〗
here, we have,
the given equation is,
㏑[tex]e^{ln( x)}[/tex] + ㏑[tex]e^{ln (x^{2}) }[/tex] = 2㏑8
or, ㏑x * ㏑ e + ㏑x² * ㏑e = 2㏑ 8
or, ㏑x + ㏑x² = 2㏑ 8
or, ㏑( x*x²) = ㏑ 8²
or, ㏑x³ = ㏑ 64
now, taking out the nature logarithm from both sides, we get,
x³ = 64
or, x = 4
Hence, The solution is, the true solution to the equation below is x=4.
To learn more on Property of Logarithm click:
https://brainly.com/question/10418010
#SPJ7
What is the value of x/5
Answer:
2
Step-by-step explanation:
Since this is a right triangle we can use trig functions
cos theta = adj / hypotenuse
cos 60 = 5/x
.5 = 5/x
Flip each side
1 / .5 = x/5
2 = x/5
The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. obtuse triangle right triangle equiangular triangle acute triangle
Answer:
Acute Triangle
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
So,
x+2x+2x = 180
=> 5x = 180
Dividing both sides by 5
=> x = 36
So, The lengths are:
=> 36
=> 72
=> 72
Since all the angles are less than 90 degrees, It is an acute triangle.
Answer: Acute Triangle hope this helps
Match the rate - - .5 -- with corresponding time of year.
Three Months, 1/4 =
Six Months, 6/12 =
Nine Months, 9/12 =
1 Month, 1/12 =
Answer: B. Six Months, 6/12 = 6÷12 =0.5
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
Correct option is
B. Six Months, 6/12 = 6÷12 =0.5
Feel free to ask for more if needed or if you did not understand something.
Can someone help me with this quick ??
which of the following equations is modeled by the graph.
a=5t
a=50t
a=50 + t
a=10t
Answer:
a = 50t
Step-by-step explanation:
The graph goes through (0,0) so the y intercept is 0
a=5t
a=50t
a=50 + t not it
a=10t
The slope is y/x since the y intercept is 0
m = 50/1 = 50
The equation for the line is
y = 50x+0
y = 50x
Using the variables given
a = 50t
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
120
Step-by-step explanation:
You add the angles up and the angles add up to 120. 61+59=120
What is the formula for the circumference using the radius below? // ANSWER IF POSSIBLE !!! //
Answer:
the answer is 2(pi)5
Step-by-step explanation:
the formula for circumfrence is 2(pi)r, and r in this case is 5
Answer:
The formula for circumference is 2πr, and r is 5 in this problem. Therefore, the circumference can be expressed using the expression 2π5, or 10π. Hope this helped!
plz help me I need help I will give u 100 points and mark u as brainiest if u can plz answer this QUESTION Which phrase best defines a trapezoid? a quadrilateral with no congruent sides a parallelogram with four congruent angles a quadrilateral with exactly one pair of parallel sides a parallelogram with four congruent sides
A quadrilateral with one pair of parallel sides.
Answer:
Two triangle with a square
Step-by-step explanation:
Find the slope of the line that contains the points named.
G(3, -2), H(7, -2)
undefined
0
-1
Answer:
We are given:
Putting values in above equation, we get:
Hence, the slope of the line is coming out to be 0.
Step-by-step explanation:
The slope of the line that contains the points (3, -2) and (7, -2) is 0.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Points:
(3, -2) and (7, -2)
Slope.
= (-2 - (-2)) / (7 - 3)
= (-2 + 2) / 4
= 0/4
= 0
Thus,
The slope is 0.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
34 + 2 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1: i will give brainliest plese
Answer:
44
Step-by-step explanation:
The answer is 44 because of order of operations we do multiplication fist so it would be
2 * 5 = 10
34 + 10
44
Answer:
44
Step-by-step explanation:
the first step is to multiply (which is what the ⋅ is) and I get 10. After I multiply I add 34 which is 10 + 34 = 44 and that is the answer.
Malik had two tests on Wednesday. On the science test, each question was worth 4 points. On the math test, each question was worth 6 points. His score was -12 on each. On which test did he miss more item? Justify your answer.
Answer:
Science Test
Step-by-step explanation:
If he missed 12 points on each test (-12) he missed 2 questions on the math test and 4 questions on the sceince test.
What scenario could be modeled by the graph below?
Step-by-step explanation:
f(x) = ax + b
a = -2/3
b = 6
f(x) = -2/3x + 6
Fx x
F(x) = -4/3x² + 6x
F(9) - F(0)
The area of the yellow part is 0.5 * 9 * 6 = 27
As of mid-2016, the world's population was about 7.4 billion people. The population of the United States was 324 million.
The land area of a certain state is about 261,787 square miles. If in mid-2016 all of the world's people were put into that state, how many people would there be in each square mile? (Round your answer to the nearest whole number.)
Answer:
There would be approximately 28,267 per square mile.
Step-by-step explanation:
There are 7,400,000,000 people in the world. The state is 261,787 square miles.
7,400,000,000/261,787 = 28,267.2554 → 28,267
f(x)=x^2 what is g(x)
Answer: A. g(x) = -x^2-4
Step-by-step explanation:
y-intercept is -4
You can determine if the slope of the graph is negative or positive based on if it is going up or down
example: x^2 going up, -x^2 going down.
Answer:
A
Step-by-step explanation:
A Shop sells two different bags of rice .
Rice A 500 g plus 25% extra free rice .
Rice B 750 g plus 1/5 extra free rice . Which bag gives you more free rice ? A or B
Pls help me :)
Answer:
b gives you more free rice
Step-by-step explanation:
....hope it helps
inform if wrong!!
what's the y intercept and the x intercept?
Answer:
y-intercept is at (0, 0.4)
x-intercept is at (0.3,0)
Step-by-step explanation:
y-intercept is where the line intercepts the y axis and x-intercept is where the line intercepts the x axis.
Solve the following equations: 24 1/14 +8 3/7 =(x÷1 1/9 )·5 5/12
Answer:
x=21978/35
Step-by-step explanation:
Steps:
1: Step 1: Simplify both sides of the equation
241 14 + 83 7 = x 11 9 (55) 12 241 14 + 83 7 = 5 108 x ( 241 14 + 83 7 )= 5 108 x(Combine Like Terms) 407 14 = 5 108 x 407 14 = 5 108 x
2: Step 2: Flip the equation
5/108x=407/14
3: Step 3: Multiply both sides by 108/5.
(1085)*(5108x)=(1085)*(40714)
Answer: x=21978/35
Plz mark brainliest
Hope this helps.
Someone please help me with this question??
Examine the following table that represents some points on a line.
Which equations in point-slope form represents this line?
y + 10 = 2(x + 6)
y + 9 = 1/2(x + 4)
y + 10 = 1/2(x + 6)
y + 4 = 1/2(x — 6)
y + 4 = 2 (x — 6)
y — 9 = 2(x — 4)
Answer:
Option (2), (3) and (4)
Step-by-step explanation:
Let the equation of the line representing the given table is,
y - y' = m(x - x')
where 'm' = slope of the line
(x', y') is the point lying on the line.
Let the two points (-6, -10) and (-4, -9) lie on the line
Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{-9+10}{-4+6}[/tex]
= [tex]\frac{1}{2}[/tex]
Equation of the line passing through (-4, -9) with slope [tex]\frac{1}{2}[/tex] will be
y - (-9) = [tex]\frac{1}{2}(x+4)[/tex]
y + 9 = [tex]\frac{1}{2}(x+4)[/tex]
Equation of the line passing through (-6, -10) with slope = [tex]\frac{1}{2}[/tex]
y - (-10) = [tex]\frac{1}{2}(x+6)[/tex]
y + 10 = [tex]\frac{1}{2}(x+6)[/tex]
Equation of the line passing through (6, -4) and slope = [tex]\frac{1}{2}[/tex]
y + 4 = [tex]\frac{1}{2}(x-6)[/tex]
Therefore, Options (2), (3) and (4) will be the answer.
answer please brainliest
Answer:
45
Step-by-step explanation:
45% = 0.45
45/100 = 0.45
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]45\% \\ = \frac{45}{100} \\ = 0.45[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the distance between the points (0, –3) and (4, 0). answers :A) 1 B) 25 C) 5 D) 7
Answer:The answer is C)5 if you need help understanding how I got this answer let me know and I'll gladly explain!
Answer: C) 5
Step-by-step explanation: Use distance formula: [tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^2 }[/tex]
Plug in respected values [tex](0,-3) = (x_{1},y_{1})[/tex] and [tex](4,0) = (x_{2},y_{2})[/tex]
Then Solve
Which is the graph of y = [x] - 2?
5
2
Answer:
2
Step-by-step explanation:
slope=1
intercept=2
What is the ratio for the fraction: 16/25? Is it 16:25?
Not too sure if that’s the right answer.
Answer:
16 to 25 or 16/25 or 16:25
Step-by-step explanation:
Please help !! (Simplify)
Answer:
The first one
A reflection maps the point (2, 3) to the point (-2, 3).
It is a reflection over the
O X-axis
O y-axis
O line y = x
A wooden toy kit has different painted solids. One solid is a cylinder with a diameter of 2cm and a height of 14cm.
Q.What is the surface area of the cylinder? (Answer is 96cm^2, I know how to get it)
Q.One can of paint covers 40m^2. How many cylinders can be painted with one coat of paint? (Answer is about 4244, but the question is how do you get it?)
Answer:
Surface are = 94.24 cm2
Cylinders =4,244
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a cylinder = 2π (diameter/2) h + 2π (diameter /2)²
Replacing with the values given
s = 2π (2/2) 14 + 2π (2/2)²
s = 87.96+ 6.28 =94.24 cm2
Since:
1 m2 = 10,000 cm2
40 m2 = 400,000 cm2 (area that one can of paint covers)
We have to divide the area that one can of paint covers by the surface area of each cylinder:
400,000/94.24 = 4244 cylinders
Anna baked 3 batches of cookies with cookies in each bath she then ate 8 cookies How many cookies does Anna have left? Write your answer as an expression.
Answer: C= 3x -8
C is the amount of cookies left. X is he number in each batch.
Step-by-step explanation:
If she made the cookies in the bath, they could be very soggy and difficult to count!