Answer:
50.27 (to 2dp)
Step-by-step explanation:
radius = 4
area of circle = pi * r * r
16 pi is area = 50.2655 units^2 (to 4dp)
Answer:
50.24
Step-by-step explanation:
Area of the circle is [tex]\pi r^{2}[/tex]. If the diameter is 8, then we know that the radius is 4, because the radius is half of the diameter. Then solve. 4 squared is 16, then multiply by 3.14 in place of pi and you will get 50.24. So yes, you are correct, it is 50.24.
Tell whether the ordered pair is a solution.
y=4x
(1,4)
Answer:
It’s a solution
Step-by-step explanation:
The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?
Answer:
P(0.8< p ^ <0.9)≈0.87
Step-by-step explanation:
trust me
The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.
We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.
The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:
SD = √((p × (1 - p)) / n)
Plugging in the values, we get:
SD = √((0.85 (1 - 0.85)) / 120)
= √(0.01225 / 120)
= √(0.0001010417)
= 0.0101
Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.
Therefore, the required probability is approximately 0.919.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Can someone please help me answer this??
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
If cosθ = 8/17 then find tanθ . *
1 point
8/15
15/17
17/15
15/8
Answer:
15/8
Hope it helps
Please mark me as the brainliest
Thank you
Please Help...........
25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?
Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
find the length of the bold arc. Round your answer to the nearest tenth.
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]
Therefore, we get;
[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]
[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
Help please!!!!!!!!!!!
Answer: x = 12, ∠B = 45°
Step-by-step explanation:
Angle A and Angle B are alternate exterior angles meaning that they are equal
5x - 15 = 2x + 21
3x - 15 = 21
3x = 36
x = 12
B = 2(12) + 21
B = 24 + 21
B = 45
If it is 2$ and it was 75 percent off what is the original price?
Answer:
$8
Step-by-step explanation:
If it's 75% of that mean 2=25%
multiply it by 4 to get 8
I don’t get this i need help
Answer:
a
Step-by-step explanation:
Answer:
Answer=(X + 5, Y - 4)
Step-by-step explanation:
X + 5 means you move to the right 5 places then Y - 4 means you move down 4 places.
hello help please i’ll mark brainliest!!!
Answer:
Its is 1,3,4
Step-by-step explanation:
Mark me brainliest please <3
Help! I will mark brainliest
Answer:
[tex]4[/tex] x [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4*10^6
Step-by-step explanation:
A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Answer:
52 photos per hour
Step-by-step explanation:
8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52
Answer:
A) 52
Step-by-step explanation:
A stone pyramid in Egypt has a square base that measures 160 m on each side. The height is 91 m. What is
the volume of the pyramid?
Volume = (base area x heigh)/3
base area = 160m x 160m
base area = 25600 m²
Volume = (25600 m² x 91 m) / 3
Volume = 776533.333 m³
Answerthe volume is 776533.333 m³
The area of a circle is 200.96 cm? What is the diameter of the circle? (Write only the
numeric answer no units)
Answer:
16 (well, more like 15.99)
Step-by-step explanation:
[tex] \sqrt{((200.96 \times 4) \div 3.14)} [/tex]
Please someone help with this math problem!!!!
Next frame
2. Use the information below to create a tree
diagram representing all the possibilities if you roll
the number cube and then spin the spinner.
Green
Blue
Blue
16
Green
Answer:
Step-by-step explanation:
BLUE
Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.
Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)
Step-by-step explanation:
anyone tell me the answer
Answer: 0.9 is the same as 9 tenths
0.009 is the same as 9 thousandths
plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4
Answer:
y = -3/4x -4
Step-by-step explanation:
Parallel slope = -3/4
(-4,-1)
y - y1 = m(x - x1)
y + 1 = -3/4(x + 4)
y + 1 = -3/4x - 3
y = -3/4x -4
the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.
Step-by-step explanation:
the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter
2(4x+1)+2x=92
8x+2+2x=92
10x=90
x=9
width=x=9
length=4x+1=4(9)+1=37
Hope that helps :)
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
1. Fred bought 7 new baseball trading cards to
add to his collection. The next
day his dog ate half of his collection. There are
now only 38 cards left.
How many cards did Fred start with ?
Answer:He has 74 baseball cards
Step-by-step explanation:
He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.
Answer:3
Step-by-step explanation:
Please help me out with this!
Answer:pooor guy hope u get it
Step-by-step explanation:
NEED HELP PLEASE as soon as possible
For every 2 minutes that Mandy plays on the computer, she plays outside for 5 minutes. What is the ratio of minutes Mandy plays on the computer to minutes she plays outside?
A 5/2
B. 2 to 5
c. 5:2 O D.
2 and 5
Answer:
B. 2 to 5
computer to outside
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]
Step-by-step explanation:
I hope this helps
have a nice day!! :)
Maximize Y = 1.27 - 0.03x - 0.05y, using the constraints:
x>_0
y>_0
Y>_-x+10
Y<_-x+15
y<_2/3 x
sorrry I couldnt write it any better
Answer:
a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.
Step-by-step explanation:
answer to (3j–1)+(–5j–4) ??
Answer:
-2j - 6
Step-by-step explanation:
3j - 2 + (-5j) - 4
3j - 2 - 5j - 4
-2j - 6
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.