Answer:
pi 7^2 - 20
Step-by-step explanation:
area of the circle - area of the square
In a raffle, 150 tickets were sold. The rules of the raffle allow only one ticket to be sold per person. Jeff and his 2 brothers each bought a ticket. If there are 3 prizes to be given out and each prize is exactly the same, then what is the probability that Jeff and his brothers will each win a prize?
Answer:
hi
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
..
.
what does PEMDAS mean in math
Hey there!
PEMDAS simply means (the OVERALL question answer)
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
Here’s an example
24 - 4^2 + 2 * 4
= 24 - 16 + 2 * 4
= 24 - 16 + 8
= 8 + 8
= 16
Thus, the answer for that equation is: 16
Often people remember PEMDAS by saying. (So, I’d advise you think of it like that way as well!)
• Please
• Excuse
• My
• Dear
• Aunt
• Sally
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PEMDAS is the order that you solve a problem.
PEMDAS stands for:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
If you have an equation or expression that you need to solve, you solve it in this order. You do the parenthesis first, then you solve the exponents, then you do the multiplication and division from left to right, and last you do addition and subtraction from left to right.
In the equation
2 + 3 * 5,
first you would do 3 * 5 because multiplication is before addition.
2 + 15
Then you would do the addition to get the answer:
17.
Please give brainliest
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
To learn more about equal variances: -brainly.com/question/30777199
#SPJ11
find the anglewhose complement is 1/4 its supplement
Answer:
The angle is 60°------------------
Let the angle be x.
Its complement is 90 - x and its supplement is 180 - x.
Set up an equation to reflect that its complement is 1/4 its supplement:
90 - x = (1/4)(180 - x)4(90 - x) = 180 - x360 - 4x = 180 - x4x - x = 360 - 1803x = 180x = 60What angle is vertical to angle 2
Answer:
i believe the answer is 4
A population of rabbits is at its lowest in January () and oscillates 31 above and below an average of 142 during the year. What is the population of rabbits in June
Answer: 173
Step-by-step explanation:
Jan 111
Feb 173
Mar 111
Apr 173
May 111
Jun 173
Jul 111
Aug 173
Sep 111
Oct 173
Nov 111
Dec 173
Average = 142
you buy two packages of almonds and mix them together into one bowl one package is 4.08 kg and the other is 6.81 kg how much is in the bowl
5 3/4 divided by 2 1/4
Answer:
2.55555555556
hope it will help you
Which expressions are equivalent to the one below? Check all that apply.
8*
□ A. (²/²)
B. 8.8x+1
c. 32
D. A
E.
32²
F. 8-8-1
The expression 8* is equivalent to both 32 and 32².Expression 8* is an algebraic expression that can be expanded to 8*1 = 8. Thus, 8* is equivalent to 8.
What is algebraic expression?An algebraic expression is a combination of terms, variables and operators that when simplified, evaluates to a numerical value. It is usually written in the form of equations and inequalities, where the terms represent numbers and variables represent unknown values.
When multiplied by 1, 8* is equivalent to 32. This is because 8*1 = 8 and 32*1 = 32. So, 8* = 32.
Expression 8* is also equivalent to 32². This is because 8*1 = 8 and 32² is 8 multiplied by itself. So 8* = 32².
The expressions A. (²/²), B. 8.8x+1, and F. 8-8-1 are not equivalent to 8*.
Expression A. (²/²) is not equivalent to 8*. This is because (²/²) is an undefined expression, while 8* is a defined expression.
Expression B. 8.8x+1 is not equivalent to 8*. This is because 8.8x+1 is an algebraic expression that includes the variable x, while 8* does not include any variables.
Expression F. 8-8-1 is not equivalent to 8*. This is because 8-8-1 is a subtraction expression, while 8* is a multiplication expression.
For more questions related to variables
https://brainly.com/question/25223322
#SPJ1
Evaluate -2 + 7 + (-4)
Answer:
1.
Step-by-step explanation:
+ (-4) = - 4 so we have
-2 + 7 - 4
= 5 - 4
= 1.
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3
Determine the experimental probability of drawing a heart.
0.15
0.20
0.30
0.60
The experimental probability of drawing a heart is given as follows:
0.30.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
6 + 4 + 7 + 3 = 20.
Out of these 20 trials, 6 resulted in a heart, hence the experimental probability of drawing a heart is given as follows:
p = 6/20
p = 0.3
p = 30%.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Sofia wants to print a 10x12 inch photo, then reduce the result by the same amount on each side. She wants the result to be 1/8 of the original photo.
Sοfia needs tο reduce each side οf the phοtο by 7/2 inches.
What is Quadratic Equatiοn?A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn οf the fοrm ax² + bx + c = 0, where x represents an unknοwn variable, and a, b, and c are cοnstants. It can have at mοst twο sοlutiοns.
Let's start by calculating the area οf the οriginal phοtο:
10 inches x 12 inches = 120 square inches
If Sοfia wants tο reduce the phοtο by the same amοunt οn each side, she will need tο subtract the same value frοm bοth the length and width οf the phοtο. Let's call this value x.
Sο, the new dimensiοns οf the phοtο will be:
(10 - 2x) inches x (12 - 2x) inches
And the area οf the new phοtο will be:
(10 - 2x) inches x (12 - 2x) inches = 120/8 = 15 square inches
Expanding the abοve equatiοn, we get:
120 - 44x + 4x² = 15
Rearranging and simplifying, we get a quadratic equatiοn:
4x² - 44x + 105 = 0
We can sοlve fοr x using the quadratic fοrmula:
x = [44 ± √(44² - 4(4)(105))] / (2(4))
x = [44 ± √(1936 - 1680)] / 8
x = [44 ± √(256)] / 8
x = (44 ± 16) / 8
Taking the pοsitive rοοt, we get:
x = 7/2
Sο, Sοfia needs tο reduce each side οf the phοtο by 7/2 inches.
The new dimensiοns οf the phοtο will be:
(10 - 2(7/2)) inches x (12 - 2(7/2)) inches = 3 inches x 5 inches
And the area οf the new phοtο will be:
3 inches x 5 inches = 15 square inches
Therefοre, the new phοtο will be 1/8 οf the οriginal phοtο.
To learn more about Quadratic Equation from the given link
https://brainly.com/question/1214333
#SPJ1
Mari cella has a bag containing 35 nickels and quarters. The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions?
880,005 rounded to the nearest hundred thousand what is the answer
Answer:
900,000
Step-by-step explanation:
I'm not sure how to explain rounding, but this should be the answer if ur asking for rounding to the nearest hundred thousand and not the hundredth thousand
Answer:
900,000
Step-by-step explanation:
the ten- thounsandths place holds a number over 5 so you would round up to 900,000.
solve - 2/5x is less than or equal to 20
Answer:
x is less than or equal to 0
Step-by-step explanation:
- you need to multiply both sides of the inequality by 5/2
- then you reduce the numbers with the greatest common factor 5
- then you reduce the numbers with the greatest common factor 2
- any expression multiplied by 0 equals 0
- so you get x is less than or equal to 0
^^^ hope this helps! :)
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
Answer:
A) f(x) = x^2 +8(x+2)
Step-by-step explanation:
We will start by putting y=0
0 = x^2+8(x+2) -Apply distributive property
0 = x^2+8x+16
0=(x+4)(x+4)
0=x+4, 0=x+4
x=-4
There is only one zero, and that is x=-4
Brainiest would be appreciated.
First one
Because
If we solve for x
x²+8(x+2)=0x²+8x+16=0x²+4x+4x+16=0(x+4)(x+4)=0x=-4Option A
P(A) = 0.57, P(B) = 0.38 and P(AandB) = 0.05.P(B |A) =
ANSWER:
0.08771
STEP-BY-STEP EXPLANATION:
To calculate the desired probability, the following formula must be applied:
\(\begin{gathered} P(B|A)=\frac{P(A\text{ and }B)}{P(A)} \\ \\ \text{ We replacing:} \\ \\ P(B|A)=\frac{0.05}{0.57} \\ \\ P(B|A)=0.08771 \end{gathered}\)Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amount of time t in seconds
Answer:
The maximum height of the ball is: 14.0625ft
Step-by-step explanation:
The missing information is:
\(h(t) = 30t - 16t^2\)
Required
The maximum height the ball attained
First, we calculate the time to reach the maximum height.
For a function: \(h(t) = at^2 + bt + c\)
The maximum is: \(t = \frac{-b}{2a}\)
So, the maximum of \(h(t) = 30t - 16t^2\) is:
\(t = \frac{-b}{2a}\)
Where
\(a = -16; b = 30\)
So:
\(t = -\frac{30}{2*-16}\)
\(t = -\frac{30}{-32}\)
\(t = \frac{30}{32}\)
\(t = 0.9375\)
The maximum height is then calculated as:
\(h(t) = 30t - 16t^2\)
\(h(0.9375) = 30 * 0.9375- 16 * 0.9375^2\)
\(h(0.9375) = 28.125- 14.0625\)
\(h(0.9375) = 14.0625\)
Find the measure of the exterior angle.
Answer:
k =64+76 =140 °
Step-by-step explanation:
Suppose E⃗ =2A⃗ +E→=2A→+ 3B⃗ 3B→ where vector A⃗ A→ has components AxAx = 5, AyAy = 2 and vector B⃗ B→ has components BxBx = -3, ByBy = -5.
Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).
To solve this equation, let's break it down component-wise. Given:
E⃗ = 2A⃗ + 3B⃗
We can write the equation in terms of its components:
Ex = 2Ax + 3Bx
Ey = 2Ay + 3By
We are also given the components of vectors A⃗ and B⃗:
Ax = 5
Ay = 2
Bx = -3
By = -5
Substituting these values into the equation, we have:
Ex = 2(5) + 3(-3)
Ey = 2(2) + 3(-5)
Simplifying:
Ex = 10 - 9
Ey = 4 - 15
Ex = 1
Ey = -11
To know more about vector,
https://brainly.com/question/30543224
#SPJ11
a spinner is divided into 4 equal-size sections. the 4 sections are colored red, green, orange, and blue. if you spin the spinner once, what is the theoretical probability that you will spin green?
The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.
In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.
To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.
It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.
To know more about theoretical probability, refer here:
https://brainly.com/question/15729871
#SPJ11
the number of units expected to be sold is uniformly distributed between 300 and 500. if r is a random number between 0 and 1, then the proper expression for sales is
300 + (200)r is the proper expression for sales if the number of units expected to be sold is uniformly distributed between 300 and 500. If r is a random number between 0 and 1.
What is a random number?
a random number is a number chosen by chance -- i.e., randomly, from a set of numbers. All the numbers in a specified distribution have equal probability of being chosen randomly.
Given that r is a random number between 0 and 1. it is uniformly distributed between 300 and 500 will be done by using the formula of 300+200r.
If r = 0, 300+200r will result in the output as 300
If r = 0.5, 300+200r will result in the output as 400
If r= 1, 300+200r will result in the output as 500
Hence ,the proper expression for sales is 300+200r
learn more about of random number here
https://brainly.com/question/14290679
#SPJ4
A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice
Answer:
Complete question:
A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.
Answer:
1/2
Step-by-step explanation:
Head is 3 times as likely to occur as tail;
Hence,
Sample space for 2 tosses :
{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}
Expected probability (E(x)) = Σx*p(x)
P(x) = required outcome / Total possible outcomes
x : __________ 0 ______ 1 _______ 2
p(x) : ________9/16_____6/16_____1/16
Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)
= 0 + 6/16 + 2/16
= 0 + 3/8 + 1/8
= 4/8
= 1/2
Please give brainliest! :)
two numbers, x and y, are selected at random from the interval [0,2] . what is the probability that y
The Probability that y is greater than x in the interval [0, 2] when two numbers, x and y, are selected at random is 0.5.
To find the Probability:
The possible pairs of numbers that can be selected from the interval [0,2] are (0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,1), and (2,2).
Out of these nine possible pairs, only five pairs have y greater than or equal to x.(0,0), (1,0), (1,1), (2,0), and (2,1)
Since the two numbers are selected randomly, each of the nine possible pairs is equally likely to occur.
Therefore, the probability that y is greater than x in the interval [0,2] when two numbers, x and y, are selected at random is:
P(y ≥ x) = favorable outcomes/total outcomes= 5/9= 0.5
Thus, the probability that y is greater than x in the interval [0,2] when two numbers, x and y, are selected at random is 0.5.
Complete Question:
Two numbers, x and y, are selected at random from the interval [0,2] . what is the probability that y is greater than x?
To know more about Probability:
https://brainly.com/question/30034780
#SPJ11
Write the equation that describes the line in slope-intercept form.
slope = 2, point (–1, 2) is on the line
Answer:
y = 2x+4
Step-by-step explanation:
slope (m) = 2
point (-1,2)
so,
b = 2-2×(-1) = 4
y = mx+b
or, y = 2x+4
What is the average rate of change of the function
�
(
�
)
f(x) on the interval
2
≤
�
≤
7
2≤x≤7?
The formula for the average rate of change to get is:
average rate of change = (y2 - y1) / 5
What is the average rate of change?
The average rate of change means the average rate at which one quantity is changing with respect to something else changing.
To find the average rate of change of a function f(x) over an interval [a, b], we can use the formula:
average rate of change = (f(b) - f(a)) / (b - a)
In this case, we are given the function f(x), but we don't have a formula for it. Instead, we are given the interval [2, 7] over which we want to find the average rate of change. So, we can use the values of the function at x = 2 and x = 7 to compute the average rate of change.
Let's assume that we have the function f(x) and evaluate it at x = 2 and x = 7 to get:
f(2) = y1
f(7) = y2
Then, we can use the formula for the average rate of change to get:
average rate of change = (f(7) - f(2)) / (7 - 2) = (y2 - y1) / 5
So, to find the average rate of change of f(x) over the interval 2 ≤ x ≤ 7, we need to know the values of f(2) and f(7). If these values are given or can be calculated, we can use the formula above to find the answer.
Hence, the formula for the average rate of change to get is:
average rate of change = (y2 - y1) / 5.
To learn more about the average rate of change visit:
https://brainly.com/question/8728504
#SPJ1
At noon, the temperature is 49 degrees. The temperature rises 6 degrees by 3 pm and drops 12 degrees by midnight. Which THREE statements are correct for this situation. A) The temperature at 3 pm is 55 degrees. B) The temperature at midnight is 43 degrees. C) The temperature at midnight is 56 degrees. D) The temperature at midnight is 37 degrees. E) The temperature at midnight is 6 degrees coller than at noon
Answer:
A, B, E
Step-by-step explanation:
49+6=55
55-12=43
49-6 = 43
12pm = 49°
3pm = 55°
12am = 43°
What is the equation for the graph shown?
Answer:
y = -1/2x+2
Step-by-step explanation:
I got the same question and randomly guessed then got it right lol
How do you solve 3^x = 500 ?
by using log notation, the value of x =㏒₃500 or x = 5.657
what is log notation?Log notation is a mathematical expression used to represent any exponential relationship in its inverse form.
How to solve the index?we use log notation to solve an equation in where an unknown variable is in index form. By applying logarithm laws, we write an exponential equation in the inverse form and finally we get the unknown values.
in the above equation 3ˣ = 500
using log notation, we get ㏒₃500 = x
x= 5.657
hence, the solution is x = 5.657
to know more about index and logarithm visit the link:
https://brainly.com/question/29755588
#SPJ4