The diameter of a circle is 14cm. Which TWO statements are correct?
A
Answer:
(a) and (e)
Step-by-step explanation:
Given
[tex]d = 14cm[/tex]
Required
Select the true statements
First, is a statement about the area.
The area is calculated as:
[tex]Area= \pi*\frac{d^2}{4}[/tex]
So, we have:
[tex]Area= 3.14*\frac{14^2}{4}[/tex]
[tex]Area= 3.14*49[/tex]
(a) is true
Next, is a statement about the circumference.
This is calculated as:
[tex]C = \pi d[/tex]
So, we have:
[tex]C = 3.14 * 14[/tex]
(e) is true
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
I need to find the answer to 3 questions. Which measure of central tendency is most representative of the data 6, 8, 3, 5, 32, 6, 5, 4, 28, 2, 2, 2. Which measure of central tendency is most representative of the data. 1, 3, 17, 20, 4, 3, 18, 1, 2, 19. and 15, 10, 13, 20, 152, 18, 8, 5, 13
Step-by-step explanation:
the first one is 2 that appears most while the second is 20 and 3
When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?
Answer:
C) 4
Step-by-step explanation:
1 + x/2 = 3
x/2 = 2
x = 4
The value of x is 4.
Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.
Answer: C) 4
Please take a look at the picture. :)
Answer:
3÷1/6
Step-by-step explanation:
here is your answer. If it helps don't forget to like and Mark me
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
What is (-22 times by 7) +(0.1 x 0.9) = ??
Answer:
-153.91
slkdcbfhvwgehfv very professional
If $18 is 45% what is 100%
Answer:
$40Step-by-step explanation:
45% = 45/100 = 0.45
0.45x = 18x = 18/0.45x = 40100% is $40
Answer:
solution given;
let total be X
45% of X=$18
X=$18×100/45=$40
So.100% is $40.
Plz help, I award brainliest!
Answer:
15 m E. B. C. D. that's why I will be there
is 1 5/6 a rational number or a iraarational
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
Prove that sin^4x + cos^4x= sinxcosx
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
[tex]sin^4(x) + cos^4(x)[/tex]
We can rewrite this as:
[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]
Now we can add and subtract cos^2(x)*sin^2(x) to get:
[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]
We can complete squares to get:
[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]
and we know that:
cos^2(x) + sin^2(x) = 1
then:
[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
[tex]1 - \frac{sin^2(2*x)}{2}[/tex]
Then the simplification is:
[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]
write a real world problem that could be represented by 1/5 x 5 = 1
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
Anyone know the answer?
Answer:
12.4
Step-by-step explanation:
One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.
Answer: 17 or -18
Step-by-step explanation:
x^2+x=306
x^2+x-306=0
(x-17)(x+18)=0
x-17=0
x=17
x+18=0
x=-18
..i think this is the right answer
PLZZZ Help I need to hurry I got all the other questions right except this one. I dont understand it.
One of the terms in the summation is _______.
I think its B because i did this in class before and it looks familiar. (branliest will be appreciated as well) Thanks
One of the terms in the summation is(1,3)
find the surface area .NO FILES #2
Answer:
486
Step-by-step explanation:
The solid is a cube. The faces of a cube are 6 congruent squares.
side = 9 ft
surface area = 6 * side²
SA = 6 * (9 ft)²
SA = 486 ft²
Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy additional paintbrushes for $0.75 each. The table shows the total cost of purchasing a painting kit plus additional paintbrushes from Store 2, where each paintbrush costs the same amount.
Answer:
14$
Step-by-step explanation:
Please mark brainliest
Plzzzz help me to find the answer
Answer:
im pretty sure its 67, sorry if I'm wrong
Image attached. Thank you
Answer:
y=-x+1
Step-by-step explanation:
Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.
The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1
The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):
m=(2-1)/(-1-0)=-1/1
m= -1
Knowing these values, we can write y=mx+c for our equation: y=-x+1
A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
Please help!!! These are the options
From the table Riley is moving forward on the interval [0,
A.4.5 B. 1.5 C.3 D.6.
It takes Riley A.3 B.4.5 C.6 D.1.5 seconds to swing forward,back and then return to her standing position. Riley reaches a maximum distance of A.6.75 B.38.9 C.1.5 D.55 inches of her starting position.
Answer:
From the table, Riley is moving forward on the interval [0,1.5].
I takes Riley 6 seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of 38.9 inches from her starting position.
Step-by-step explanation:
PLATO/Edmentum
The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
What is a table?Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.
Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.
Now as per the table, the statements can be completed as,
Riley is moving forward on the interval [0, 1.5]It takes Riley 3 seconds to swing forward, back, and then return to her starting position.Riley reaches a maximum distance 55 of Inches from her starting position.Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
Learn more about Table here:
https://brainly.com/question/10670417
#SPJ2
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
A college lecture hall has 15 rows of seats. The first row has 18 seats the next row has 20 seats, and the third row has 22 seats.
How many seats are in the last row?
Write the rule for the number of seats in the nth row.
Answer:46, f(n)=2x+16
Step-by-step explanation:
1=0+18
2=2+18
3=4+18
4=6+18
f(n)=2x+16
f(15)=30+16=46
Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
Step-by-step explanation:
hello :
here is an solution
Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
[tex]\mu = 6*0.6 = 3.6[/tex]
The probability of scoring four goals is:
[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]
Probability of two assists:
40% of 2 are assists, which means that:
[tex]\mu = 6*0.4 = 2.4[/tex]
The probability of getting two assists is:
[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]
Probability of four goals and two assists:
[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]
0.05 = 5% probability that he has four goals and two assists in one game
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8
Answer:
to me it's a simple solution
Step-by-step explanation:
rachel has 4 notebooks.Her mother gives her n notebooks.she wants to use the same number of notebooks in each of her 7 classes. which expression shows the number of notebooks rachel will use for each class?
A.n+4/7
B.4÷7/n
C.4n+7
D.4+n+7
Answer:
i think its b
Step-by-step explanation:
I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last?
Answer:
12 days
Step-by-step explanation:
3/8=.375
16.5 divided by 1.375 equals to 12. I hope that helps.
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answer:
0.8015 = 80.15% probability that the student has the flu
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has high temperature.
Event B: Has the flu
Probability of a student having high temperatures:
90% of 35%(have the flu)
12% of 100 - 35 = 65%(do not have the flu). So
[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]
Probability of having high temperatures and the fly?
90% of 35%, so
[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]
If a student has a high temperature, what is the probability that the student has the flu?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]
0.8015 = 80.15% probability that the student has the flu
