Answer:
n = 72
Step-by-step explanation:
n = -18 / (-1/4) = -18 * -4 = 72
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
Which angles are corresponding angles?
Answer:
\( \angle HIG \: and \: \angle KLI\)
Step-by-step explanation:
\( \angle HIG \: and \: \angle KLI\) are corresponding angles.
HELP MEEEEEEEEEEEEEEE!
Answer: go
Step-by-step explanation:
Whats is 184 X 8 = ? In work?
Answer:
23
Step-by-step explanation:
23 ⇔ 23 R 0
184 divided by 8
=
23 with a remainder of 0
0
2
3
8
1
8
4
-
0
1
8
-
1
6
2
4
-
2
4
0
Alice, Bob and Carol each play a video game. The probabilities of winning are 0.75 for Alice, 0.5 for Bob and 0.25 for Carol, independently of each other. If at least one person wins, then the group gets to enter a raffle, with a 1/3 chance of winning an MP3 player. Given that the group did not win an MP3 player, what is the probability that Carol won her video game?
The probability that Carol won her video game, given that the group did not win an MP3 player, is 0.0769.
To find the probability that Carol won her video game, we need to use conditional probability. Let's denote the events as follows: A = Alice wins, B = Bob wins, C = Carol wins, and R = the group wins the raffle.
We know that the probability of Alice winning (P(A)) is 0.75, Bob winning (P(B)) is 0.5, and Carol winning (P(C)) is 0.25. The probability of the group winning the raffle (P(R)) is 1/3.
We need to calculate P(C|R'), where R' represents the event that the group did not win the MP3 player.
To calculate this probability, we can use Bayes' theorem:
P(C|R') = P(C ∩ R') / P(R')
We can calculate the numerator using the multiplication rule:
P(C ∩ R') = P(C) * P(R' | C)
P(R' | C) represents the probability of not winning the MP3 player given that Carol won her video game. Since winning the raffle is independent of winning the game, the probability of not winning the MP3 player given that Carol won is 1 - P(R | C) = 1 - 1/3 = 2/3.
Substituting the values into the equation:
P(C ∩ R') = 0.25 * (2/3) = 0.1667
Next, we need to calculate the denominator, P(R'). To calculate this probability, we can use the law of total probability:
\(P(R') = P(R' | A) * P(A) + P(R' | B) * P(B) + P(R' | C) * P(C)\)
Since the group wins the raffle if at least one person wins their game, we have:
P(R' | A) = P(R' | B) = 0, and P(R' | C) = 1 - P(R | C) = 1 - 1/3 = 2/3.
Substituting the values into the equation:
P(R') = 0 * 0.75 + 0 * 0.5 + (2/3) * 0.25 = 0.1667
Now we can calculate the conditional probability:
P(C|R') = P(C ∩ R') / P(R') = 0.1667 / 0.1667 = 0.0769
Therefore, the probability that Carol won her video game, given that the group did not win an MP3 player, is 0.0769.
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The city of Amanville has 6^(2)+7 miles of foacway to maintain. Union Center has 6*7^(3) miles of roadway. How many times more miles of roadway does Union Center have than Amanville?
Union Center has approximately 41 number of times more miles of roadway than Amanville.
The city of Amanville has 6² + 7 miles of roadway to maintain which is equal to 43 miles. Union Center has 6 x 7³ miles of roadway which is equal to 1764 miles. To find out how many times more miles of roadway Union Center has than Amanville, you need to divide the number of miles of roadway of Union Center by the number of miles of roadway of Amanville. 1764/43 = 41.02 (rounded to two decimal places).Hence, Union Center has approximately 41 times more miles of roadway than Amanville.
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Type the correct answer in the box. use numerals instead of words. round your answer to the nearest dollar. norma jean makes $25 per hour. she works 35 hours per week. she gets a commission of 15% on her total sales. how much should norma sell to make $4,500 in a single week? norma needs to make sales worth $ to make $4,500.
Norma Jean needs to make sales worth $$24,166.67 to make $4,500.
What is linear equation?A linear equation has only one or two variables. In a linear equation, no variable gets raised to a power larger than one or utilized as denominator of such a fraction.
When you locate two values that satisfy a linear equation and display them on coordinate grid, each of the points fall on the same line.
Now, according to the question-
Norman Jean is paid a flat rate of $25 per hour and works 35 hours per week.
According to the preceding statement, Jean will earn => 25 35 = $875 in such a single week while without commission.
For Jean to make $4500 in a week, we derive an equation for this:
875 + x = 4500;
x is indeed the amount in commission Jean must earn in a week to cover the difference.
=> x = 4500-875; x = $3625.
Let y be the number of sales Jean must make to earn a commission of x, and we get the following equation:
0.15 × y = x.
y = x ÷ 0.15 => 3625 ÷ 0.15
y = 24166.67.
So, in order for Jean to fulfil her goal of $4500 in such a single week, she must make a sale for $24,166.67.
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How do you simplify and verify trig identities?
In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.
The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.
After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.
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ANSWER QUICKlY ASAP!!!!
Answer:
\( \sqrt{9 } = 3 \)
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis .Find the coordinates of H and G. Please need answer quick with accurate explanation.
Answer:
coordinates of H = (1, 0)
Coordinates of G = ( - 3.6, -2) or (5.6, -2)
Step-by-step explanation:
E(5,3) and F (2,-1) are two vertices of a square EFGH and H is in the x-axis.
Let the coordinates of H is (x, 0) and G is (a, b).
The length of side EF is
\(EF = \sqrt{(5 -2)^2 + (3 +1)^2} = 5\)
So,
\(EH = \sqrt{(5 -x)^2 + (3 -0)^2} = 5\\\\(5 -x)^2+ 9 = 25\\\\5 - x = 4\\\\x = 1\)
And
\(GH = \sqrt{(a -x)^2+ b^2} = 5\\\\(a -1)^2+ b^2 = 25\\\\a^2 + b^2 + 1 - 2 a = 25\\\\a^2 + b^2 - 2a = 24 .... (1)\)
Now
\(FG = \sqrt{(a -2)^2+ (b +1)^2} = 5\\\\(a -2)^2+ (b+1)^2 = 25\\\\a^2 + b^2 + 2b - 2 a = 20\\ ..... (2)\)
Solving (1) and (2)
b = - 2 ,
\(a = \frac{2 \pm\sqrt{4 + 80}}{2}\\\\a = \frac{2 \pm 9.2}{2}\\\\a = - 3.6, 5.6\)
PLEASE HELP ME!!! THIS IS 8TH GRADE ALGEBRA!!
Answer:
Youre fυcked
What is 1.73 m in feet?
The unit conversion is as follows,
1.73 meters is equivalent to approximately 5 feet and 8.11 inches.
A meter is the base unit of length and distance in the International System of Units (SI). The meter is defined as the distance traveled by light in 1/299 792 458 of a second.
A foot is a unit of length in the imperial and US customary systems of measurement. A foot was defined as exactly 0.3048 meters. One foot contains 12 inches, and one yard is comprised of three feet.
1 m = 3.280839895 ft
1 ft = 0.3048 m
Being the SI unit of length, the meter is used worldwide in many applications such as measuring distance, height, length, width, etc.
In the US, feet and inches are commonly used to measure height, shorter distances, field length etc. Feet are also commonly used to measure altitude (aviation) as well as elevation (such as that of a mountain).
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y=3x+4 and 2x-3y=-26 solve for x and y
Step-by-step explanation:
2x - 3(3x+4) = 26
2x -9x -12 = 26
-7x = 38
x = -38/7
y = 3(38/7) +28/7
y = 142/7
If TA bisects ∠YTB, TC bisects ∠BTZ, m∠YTA = 4y + 6, and m∠BTC = 7y – 4, find m∠CTZ
The calculated measure of the angle CTZ is 38 degrees
How to calculate the measure of CTZFrom the question, we have the following parameters that can be used in our computation:
TA bisects ∠YTB, TC bisects ∠BTZm∠YTA = 4y + 6 and m∠BTC = 7y – 4This means that
YTA + BTC = 90
So, we have
4y + 6 + 7y - 4 = 90
So, we have
11y = 88
Divide
y = 8
Next, we have
CTZ = 90 - BTC
So, we have
CTZ = 90 - (7y – 4)
This gives
CTZ = 90 - (7 * 8 – 4)
Evaluate
CTZ = 38
Hence, the measure of CTZ is 38 degrees
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The price of a jacket is £70
The price is to be reduced by 15%
How much will the price be reduced by?
Answer:
10.5
Step-by-step explanation:
15% of 70 is 10.5. so it will be reduced by 10.5 but equal 59.5
The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box
After solving, the height of the cylinder is 6 meters.
The surface area of a cylinder is 24π m².
The distance around the base of the cylinder is 3π meter.
The diameter of a base of the cylinder is 4 meter.
Now the radius of the cylinder = diameter/2
The radius of the cylinder = 4/2
The radius of the cylinder = 2 meter.
The formula of surface area of cylinder:
S = 2πrh
From the question:
2πrh = 24π
Now putting the value of r
2π × 2 × h = 24π
4πh = 24π
Divide by 4π on both side, we get
h = 6
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The complete question is:
The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.
Find the value of the indicated trigonometry ratio cos in right tringle with side of 6,6*squort 2, 6*squort 3
Answer:√2/2
Step-by-step explanation:
Let's label the sides of the right triangle as follows:
The side adjacent to the angle θ (cosine is adjacent/hypotenuse): 6
The hypotenuse (the longest side): 6√2
The side opposite to the angle θ (sine is opposite/hypotenuse): 6√3
Using the Pythagorean theorem, we can find the length of the missing side:
a² + b² = c²
6² + (6√3)² = (6√2)²
36 + 108 = 72
144 = 72
√144 = √72
12 = 6√2
Now that we know the length of all three sides, we can use the cosine ratio to find the value of cos(θ):
cos(θ) = adjacent/hypotenuse = 6/6√2 = √2/2
Therefore, the value of cos(θ) in the right triangle with sides of 6, 6√2, and 6√3 is √2/2.
FIRST ANSWER GETS BRAINLIEST
Answer:
about 55,000 pounds
Step-by-step explanation:
1,575(3.125) + 5,020(9.9) = 54,619.875
To the nearest thousand, 54,619.875 rounds to 55,000.
which ordered pair is a solution to the system of inequalities? help pls
Answer:
A
Step-by-step explanation:
I got this answer hope it work.
Find the equation of a line that passes through the points (3,2) and (5,6). Leave your answer in the form y = m x + c.
The equation of the line that passes through the points (3,2) and (5,6) is: y = 2x - 4
Given:
we have two points:
(3,2) and (5,6)
we are asked to find the equation of a line that passes through the points (3,2) and (5,6).
let the two points be:
(3,2) = (x₁,y₁)
(5,6) = (x₂,y₂)
we know the point slope form as:
y - y₁ = m(x-x₁)
to find slope:
m = y₂-y₁/x₂-x₁
m = 6-2/5-3
m = 4/2
m = 2
now take the point as :
y - 2 = 2(x-3)
y - 2 = 2x-6
y = 2x - 6 + 2
y = 2x - 4
Hence we get the equation of the line as y = 2x - 4.
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Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April.Oct Nov Dec Jan Feb March AprilB: Shore 2.4 1.6 2.3 3.2 3.9 3.6 3.3A: Boat 2.0 2.1 1.2 2.2 3.3 3.0 3.8Use a 5% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.What is the value of the sample test statistic? (Use 3 decimal places.)Find (or estimate) the P-value. (Use degrees of freedom equal to the smaller of n1 − 1 and n2 − 1. Use 4 decimal places.)
Sample of test statistic is 2.080 and p-value is 0.082.
From the given information,
α = 0.01;
H₀ : μ = 0
H₁ : μ ≠ 0.
Student's t,
d.f. = 6
d = 0.371
t = 2.08
0.050 < p-value < 0.100
on t graph, shade area to the left of -2.08 and to the right of 2.08.
From TI-84, p-value = 0.0823.
P-value interval > 0.01 for α; fail to reject H₀.
At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.
The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.
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Describe the difference between a bar graph and a circle graph.
Answer:
Unlike most circle graphs, bar graphs compare exact amounts. Circle graphs are used when dealing with percentages, and the percentages of the pieces add up to 100 percent. In a bar graph, however, a scale is used to show the exact amount of each category. ... The bar graph shows the same results but in a different format.
iready math, i need to answer asap
Answer: sorry i dont know i havnt done iready in years
Step-by-step explanation:
Answer: Down Below
Step-by-step explanation:
A. 11/26
B. 5/22
C.5/52
D.5/17
Support:
Cards :Wild|Number|Penalty|
Freq: 10 | 32 | 2 |
What does the expression (55)(5−2) equal?
Answer:
65
Step-by-step explanation:
`
Answer:
165
Step-by-step explanation:
(55)x(5-2)
(55) x (3) =165
Based upon a random sample of 30 seniors in a high school, a guidance counselor finds that 20 of these seniors plan to attend an institution of higher learning. A 90% confidence interval constructed from this information yields (0.5251, 0.8082). Which of the following is a correct interpretation of this interval? O This interval will capture the true proportion of seniors in our sample who plan to attend an institution of higher learning 90% of the time. o we can be 90% confident that 52.51% to 80.82% of seniors at this high school plan to attend an institution of higher learning we can be 90% confident that 52.51% to 80.82% of seniors in any high school plan to attend an institution of higher learning. O This interval will capture the true proportion of seniors from this high school who plan to attend an institution of higher learning 90% of the time.
Previous question
A 90% confidence interval is then constructed from this information, which yields (0.5251, 0.8082). The question asks which of the following is a correct interpretation of this interval.
The question describes a situation where a guidance counselor has taken a random sample of 30 seniors from a high school and found that 20 of these seniors plan to attend an institution of higher learning. A 90% confidence interval is then constructed from this information, which yields (0.5251, 0.8082). The question asks which of the following is a correct interpretation of this intervalThe correct interpretation of the interval is that we can be 90% confident that 52.51% to 80.82% of seniors at this high school plan to attend an institution of higher learning. This means that if we were to take multiple random samples of 30 seniors from this high school and construct 90% confidence intervals from each sample, then 90% of these intervals would capture the true proportion of seniors who plan to attend an institution of higher learning. However, we cannot say with 90% confidence that the true proportion of seniors in any high school plan to attend an institution of higher learning, as this interval only pertains to the specific high school from which the sample was taken. Therefore, option B is the correct interpretation of the interval.For more such question on confidence interval
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Sara owns an exotic pet store. She wants to make sure she has more than a pound of food for every 15 lizards she has in the store. If she currently has 4.25 pounds of food, how many lizards can she have in the store? Which inequality can be used to solve the problem?
Answer:
Total lizards in the store are 64.
Step-by-step explanation:
Total food that Sara owns for the pet = 4.25 pounds
One pound of food is needed for the number of lizards = 15
Now we are required to find the number of lizards in the store. To find the number of Lizards we must multiply the total food with the number of lizards for one pound food.
Total lizards = Total food × lizards for one pound food.
Total lizards = 4.25 × 15
Total lizards = 63.75 or 64 lizards.
Answer:
Which inequality can be used to solve the problem?
A : x/15 < 4.25
Solve the inequality. How can you interpret the solution?
C : She can have a maximum of 63 lizards in the store.
Step-by-step explanation:
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
whats the answer i dont know what it is cause i did not get to study
The shipping fee is given as follows:
C. $6.00.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.When the number of books increases by 5, the costs increase by $15, hence the slope m is given as follows:
m = 15/5
m = 3.
Hence:
y = 3x + b.
When x = 5, y = 21, hence the intercept b, representing the shipping fee, is obtained as follows:
21 = 3(5) + b
b = $6.00.
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