Answers
Answer:
1/4
Step-by-step explanation:
The event of tossing two coins has four outcomes: HH,HT, TH,TT
Probability of outcome HH out of all possible outcomes HH,HT, TH,TT is
P(HH) = number of possibilities to have HH/ number of all possible outcome
P(HH) = 1/ 4
Related Questions
A dairy farmer wants to mix a 75% protein supplement and a standard 30% protein ration to make 1200 pounds of a high-grade 45% protein ration. How many pounds of each should he use?
Answers
The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.
To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.
Let's denote the following:
x = pounds of the 75% protein supplement
y = pounds of the 30% protein ration
The total weight of the mixture is 1200 pounds, so we have the equation:
x + y = 1200
The protein content in the mixture should be 45% of the total weight, so we have the equation:
0.75x + 0.30y = 0.45 * 1200
Now we can solve this system of equations.
First, let's rewrite the second equation in decimal form:
0.75x + 0.30y = 540
To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:
75x + 30y = 54000
Now we have a system of equations:
x + y = 1200
75x + 30y = 54000
We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:
Solve the first equation for x:
x = 1200 - y
Substitute the value of x into the second equation:
75(1200 - y) + 30y = 54000
Simplify and solve for y:
90000 - 75y + 30y = 54000
-45y = -36000
y = 800
Now we can substitute the value of y back into the first equation to find x:
x + 800 = 1200
x = 1200 - 800
x = 400
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Paula drives 130 miles in 2.5 hours. How far would she drive in 4.5 at the same speed?
*Please answer
I will award the Brainliest answer
Answers
Answer:
Paula will travel 234 miles in 4.5 hours
Step-by-step explanation:
Step 1: We first find the speed Paula is going in hours, we divide 130 mile by 2.5 hours to get 52 miles per hour
Step 2: We multiple 52 miles per hour with 4.5 hours to get 234 miles
Therefore Paula will travel 234 miles in 4.5 hours
Find the midpoint of the segment with the following endpoints (-3,-3) (1,2)
Answers
Find sin(2x), cos(2x), and tan(2x) from the given information.
tan(x) = − 4/3 , x in Quadrant II
Answers
Answer:
Step-by-step explanation:
Starting from tan x, you can find sec x, because of the trigonometric identity 1 + tan2 x = sec2 x.
1 + (-4/3)2 = 1 + 16/9 = 25/9 = sec2 x.
So sec x = ±√(25/9) = ±5/3. But since x is in Quadrant II, sec x has to be negative. That's because sec x has the same sign as cos x, because sec x = 1 / cos x. We know that cos x is negative is Quadrant II, therefore so is sec x. So sec x = -5/3.
Since sec x and cos x are reciprocals of each other, cos x = 1/sec x = -3/5.
Now use the identity sin2 x + cos2 x = 1, to find sin x:
sin2 x + (-3/5)2 = 1
sin2 x + 9/25 = 1
sin2 x = 16/25
sin x = ±4/5
Again, we know that sin x is positive in Quadrant II, so sin x = 4/5.
Now that we know sin x and cos x, we can use the double angle formulas to find sin 2x and cos 2x.
sin 2x = 2 sin x cos x = 2 (4/5) (-3/5) = -24/25
cos 2x = cos2 x - sin 2 x = (-3/5)2 - (4/5)2 = 9/25 - 16/25 = -7/25
Finally use the identity tan x = sin x / cos x to find tan 2x:
tan 2x = sin 2x / cos 2x = (-24/25) / (-7/25) = -24/-7 = 24/7
What is the solution to x+y= -6 2x-y=3
Answers
Answer:
Step-by-step explanation:
x + y = -6
2x - y = 3
3x = - 3
x = -1
-1 + y = -6
y = -5
(-1, -5)
Find the total amount of the mortgage if the closing costs are financed. 1. Jack and Dina King purchase a home with a mortgage loan of $420,000.
Answers
The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.
What are closing costs?Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.
Some of the closing costs include:
Loan origination feesDiscount pointsAppraisal feesTitle searchesTitle insuranceSurveysTaxesDeed recording feesCredit report charges.Question Completion and Calculations:
Closing costs:Application Fee $252
Borrower’s Credit Check $65
Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)
Appraisal Fee $325
Title Search $212
Title Insurance $410
Inspection $350
Attorney Fee $450
Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)
Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)
Total closing costs = $16,344
Mortgage loan = $420,000
Total amount of financing required = $436,344 ($420,000 + $16,344)
Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.
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Carmel is watching a play at the theatre.
The play started at 16 30
The play is 115 minutes long.
When the play ends, Carmel takes 30 minutes to get to the bus stop.
A bus leaves the bus stop at 18 45
Does Carmel get to the bus stop in time to get this bus?
You must show all your working.
Need help
Answers
Step-by-step explanation:
play started 16:30
its 115 min long = 1:55 hours
16:30+ 1:55=18:25 hours
now he takes 30 min to reach bus stop
18:25 + 30 mins = 18:55
therefore, he reaches the bus stop 10 mins late
A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
Answers
Please help me! This is due tomorrow and I really need some help! Thank you.
Answers
Answer:
B. the mean is 59 inches
Step-by-step explanation:
if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.
Answer:
B: The mean wingspan is 59 inches.
Step-by-step explanation:
The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.
Black friday sale on TVs were 50 in tv for $148.00 or 65 in for $199.00 which is the better buy this is not worth a grade just some understanding
Answers
Answer:
i personally think the 65 in. one
Step-by-step explanation:
Question 8(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
A new gaming chair costs $455.95. You have already saved $155.95 and earn $37.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
37.5 + 155.95w = 455.95; w = 8
37.5w + 155.95 = 455.95; w = 8
37.5w − 155.95 = 455.95; w = 16
37.5w − 455.95 = 155.95; w = 16
Answers
37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.
How do equations work?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.
Equations can be categorized as identities or conditional equations.
w = (455.95-155.95)/(37.50)
=300/37.50
=8
So, number of weeks = 8
As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.
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Round your answers to four significant digits. Write your answers for angle measures in decimal degrees.
Answers
Given
b = 0.6013 mm
c = 0.8854 mm
Part A: Solving for angle α
Using the trigonometric function arc cosine, we have the following:
\(\begin{gathered} \alpha=\cos^{-1}\Big(\frac{b}{c}\Big) \\ \alpha=\cos^{-1}\Big(\frac{0.6013}{0.8854}\Big) \\ \alpha=47.22445452° \end{gathered}\)Rounding to four significant digits, angle α is 47.22°.
Part B: Solving for angle β
Now that we have angle α, use the fact that the sum of the interior angle of a triangle is equal to 180°.
Angle β therefore is
\(\begin{gathered} \alpha+\beta+90°=180° \\ 47.22\degree+\beta+90\degree=180\degree \\ \beta+137.22\degree=180° \\ \beta=180°-137.22\degree \\ \beta=42.78\degree \\ \\ \text{Therefore, }\beta\text{ is equal to }42.78\degree \end{gathered}\)Part C:
Use the Pythagorean theorem to solve for side a, we have the following:
\(\begin{gathered} a^2+b^2=c^2 \\ a^2+(0.6013)^2=(0.8854)^2 \\ a^2+0.36156169=0.78393316 \\ a^2=0.78393316-0.36156169 \\ a^2=0.42237147 \\ \sqrt{a^2}=\sqrt{0.42237147} \\ a\approx0.6499011232 \end{gathered}\)Rounding to 4 significant digits, the measurement of a is 0.6499 mm.
-1/4 x [ x 12 -32 ] = [ 5 -3 y ]
![-1/4 x [ x 12 -32 ] = [ 5 -3 y ]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/MoWELz3Foh0WDK1NC6K1wfbtzYwwuPzh.png)
Answers
The x and y values for the given equation are x= -20 and y=8
What is meant by scalar multiplication?One of the fundamental operations defining a vector space in linear algebra in mathematics is scalar multiplication (or more generally, a module in abstract algebra). When a real Euclidean vector is multiplied scalarly by a positive real number, the direction of the vector remains unchanged, but the magnitude of the vector increases. A scalar is anything that scales vectors, which is how the word "scalar" itself came to be. It is important to distinguish between the inner product of two vectors and scalar multiplication, which is the multiplication of a vector by a scalar with a vector as the product.
Given,
-1/4[ x 12 -32 ] = [ 5 -3 y ]
[(-1/4)x (-12/4) (-32/-4)]=[5 -3 y]
-x/4=5
-x=20
x= -20
-32/-4=y
y=8
Therefore, the x and y values for the given equation are x= -20 and y=8
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\(8x - 4 - 5x \leq 21+5\)
Answers
Answer:
x ≤ 10
Step-by-step explanation:
Use the following graph of the quadratic function f(x)=−18(x−1)2+1 to answer the question. A downward-opening parabola that passes through (negative 2, 0), (1,1) & (4, 0).© 2018 StrongMind. Created using GeoGebra. Which line proves that f(x) does not have an inverse function?
Answers
If a horizontal line intersects the graph of f(x) more than once, then f(x) does not have an inverse.
So, from the options let's find a horizontal line (y = k) that intersects the graph more than once.
Drawing the horizontal lines, we have:
The line y = -4 intersects the graph in 2 points and thus proves that f(x) does not has an inverse function.
Answer: y = -4.
During the worst periods of hyperinflation in a certain country, the price of food increased at a rate of 10% per month.
State whether this increase was linear or exponential. If your food bill was $110 in one month during this period, what
was it three months later?
Answers
Step-by-step explanation:
Exponetial (compounding ) growth
New Price = original price ( 1 + .10)^n n is months .10 is 10% per month
= $ 110 ( 1.10)^3 = $ 146 . 41 three months later
ava walks to the end of her section of trail and back in 90 minutes Luis walks his his section of the trail in 1 3/4 hours. Who walks longer?
Answers
Answer:
Luis
Step-by-step explanation:
One hour is 60 minutes total, leaving and extra 30 minutes for Ava, which is half of 60. So, in fraction form, she walked 1 1/2 OR 1 2/4 hours, which is less than Luis. He walked about an hour and 45 minutes total, or 105 minutes.
The area of a rectangle is 48 m^2 the length is (x+2) and width is (x). What is the value of x?
Answers
Answer:
Please find attached pdf
Step-by-step explanation:
The graph below displays a fire department’s response time, which measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station.
A histogram titled Fire Department Response Times has response time (seconds) on the x-axis and relative frequency on the y-axis. 20 to 30, 0.07; 30 to 40, 0.08; 40 to 50, 0.2; 50 to 60, 0.32; 60 to 70, 0.18; 70 to 80, 0.13; 80 to 90, 0.04.
Which interval accounts for the lowest percentage of response times?
20–30 seconds
30–40 seconds
70–80 seconds
80–90 seconds
I think its (D), 80-90 seconds. Someone check me.
Answers
Answer:
I also think this is D.
Step-by-step explanation:
This question isn't asking for a lot of math so.
According to the graph, the 80-90 seconds response times are the shortest, meaning it is the least frequent or common.
Plus, it would be a bad thing if it was average anyways, and is outlined by the histogram.
what is the answer to -17 = 6m - 4 + 7m ?
Answers
Answer:
====LEARN WITH REY====Hi sis, try to help yaStep-by-step explanation:
= -17 = 6m - 4 + 7m
= 6m - 7m = 17 + 4
= 1m = 21
= m = 21 : 1
= m = 21
========================#Study with brainly #Learn with reyAdam volunteers once a month to make meals for the elderly. He has 81 pieces of chicken, 27 pieces of corn, and 54 rolls.
Each plate must have exactly the same number of pieces of each food item and all the food must be used.
What is the greatest number of plates he can make?
Answers
Answer:
27 plates
Step-by-step explanation:
81 ÷3=27 chicken pieces
27 pieces of corn (one piece of corn per plate)
54÷2=27 two pieces of bread per plate
Expression equivalent to 9y-3
Answers
Answer:
3 ( 3y - 1 )
Step-by-step explanation:
Semester Exam
Algebra 2 B (SP23) 3/Semester Exam
A large pinecone has a spiral that is 144 units in length, while a smaller pinecone has a spiral that is 09 units in length. What is the approximate value of the ratio of the large spiral to the smaller spiral? Show your work
Answers
The approximate value of the ratio of the large spiral to the smaller spiral is 16:1.
To find the ratio of the large spiral to the smaller spiral, we can divide the length of the large spiral by the length of the smaller spiral.
Ratio = Length of large spiral / Length of small spiral
Given:
Length of large spiral = 144 units
Length of small spiral = 9 units
Ratio = 144 units / 9 units
To simplify the ratio, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 144 and 9, which is 9.
Ratio = (144 units / 9 units) / (9 units / 9 units)
= 16 / 1
= 16
Therefore, the approximate value of the ratio of the large spiral to the smaller spiral is 16:1.
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On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
Answers
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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Suppose that the demand of a certain item is x=-0.7p+10.
Evaluate the elasticity at 6.
Answers
The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.
What is the item's demand if elasticity is at 6?The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)
The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.
Let say Initial quantity demanded is:
x = -0.7(6) + 10
x = 5.8
Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:
= -0.7(6.01) + 10
= 5.793
The % change in quantity demanded will be:
= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%
= [(5.793 - 5.8) / 5.8] x 100%
= -0.12%
As price has changed from 6 to 6.01, we can calculate the percentage change as follows:
% change in price = [(new price - initial price) / initial price] x 100%
= [(6.01 - 6) / 6] x 100%
= 0.17%
Elasticity of demand = (% change in quantity demanded) / (% change in price)
= (-0.12% / 0.17%)
= -0.71
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can someone please help me
Answers
Answer: 19
Step-by-step explanation:
Kim is 15 years old. Her father is 4 times as old as her now. In how many years time their total age be 115 years.
Answers
Answer:
20 years time
Step-by-step explanation:
Please help I need it asap pls pls pls
Answers
Answer:
1 person = 0.75
1 person = 3/4
Step-by-step explanation:
This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.
The total number of people in the survey is
Total in survey = 96 + 60 + 24 + 96 + 204
Total in survey = 480
A circle contains 360 degrees.
480 people have 360 degrees of circle room
1 person has x degrees of circle room
480 / 1 = 360 / x
Cross multiply
480 x = 360 *1 Divide both sides by 480
x = 360 / 480
x = 0.75
One person takes 3/4 of a degree of the circle.
So the number of people wanting to go to the UK would be
96 * 0.75 = 72 degrees,
For each part of the table, just use what the frequency is for that entry where 96 is now.
solve these equations show solutions on a number line.
|x+8|=x+8
Answers
9514 1404 393
Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.About how many people had viewed the video once it had been online for 20 days? the answer is 6,271!!!
Answers
The number of people that had viewed the video that Marta’s mother shared online was 6271
How to solve an exponential function?Let f(x) represent the number of views after x days.
Given the function:
f(x) = 33(1.3)ˣ
Hence:
After 20 days, the number of views is:
f(x) = 33(1.3)²⁰ = 6271
The number of people that had viewed the video once it had been online for 20 days was 6271
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Answer:
6,271 people saw the video
Step-by-step explanation: