Answer:
The answer is 45. If the theoretical probability of drawing 2 purple socks from the bag with replacement is one fifth, that means the probability of drawing 2 purple socks in one experiment is 1/5 = 0.2. Therefore, the expected number of times the child will select 2 purple socks in 225 experiments is 0.2 x 225 = 45.
The domain of the relation is {-5, -2, -1, 0, 1, 5}. This is because these are the only x-values that appear in the plotted points.
List 4 gives the sample space for pulling two slips of paper out of the bucket with replacement. This is because List 4 contains all possible combinations of two slips of paper that can be drawn with replacement from the bucket.
The table that represents a linear function is: x -2 -1 0 2 4 and y -4, -2/3, -1/3, 2/3, 1. This is because the values of y change by a constant rate for each unit change in x, which is the defining characteristic of a linear function.
The probability of drawing at least one club card is 1 - the probability of drawing no club cards. The probability of drawing no club cards on either draw is 3/4, so the probability of drawing at least one club card is 1 - (3/4 x 3/4) = 7/16, which is slightly less than one half.
The most appropriate representation for showing the change in the average hourly wage each year is a line graph with the title "average hourly wage," the x-axis labeled "years since 2016," and the y-axis labeled "hourly wage in dollars," with points at 0,9; 1,9.5; 2,10; 3,11; 4,12; 5,13; 6,14; and line segments connecting each point. This is because a line graph is best suited for showing the change in a variable over time, and the line segments connecting each point will make it easy to see the overall trend in the data.
The relation is not a function because for the input value of x = -1, there are two different output values, y = 3 and y = -2. In a function, each input value must have exactly one output value.
In triangle ABC,
If cos (A) = 12/13 and sin (A) = 5/13, what is tan(A)?
Answer:
tan(A) = 5/12
Step-by-step explanation:
Tan = opp/adj
opp= 5
adj = 12
Answer:12/13
Step-by-step explanation:
You had 150 , but you are spending 2 each day. What algebraic expression models this situation?
If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
Given,
The total amount you had = $150
The amount you spend in each day = $2
Consider the number of days = x
Then the algebraic expression for this situation is 150-2x
Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
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HELP ON MATH PLS HELPPPPPPpppp
Answer:
The answer is 14
Step-by-step explanation:
nOiCe
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for m = –38.
–23(m + 39) =
Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
WORTH 10 POINTS
can someone help me solve this question? Thank you.
Answer:
-10
Step-by-step explanation:
Variable k is denoted as vertical movement. In this case, the -10 is k. Therefore, the graph is moving 10 units down from the parent graph.
suppose p is invertible and a = pbp−1 . solve for b in terms of a
1. Multiply both sides by the inverse of p on the left: p^(-1)a = p^(-1)(pbp^(-1))
2. Simplify: p^(-1)a = bp^(-1)
3. Multiplying both sides by the inverse of p^(-1) on the right: (p^(-1)a)p = b
So, b = (p^(-1)a)p.
Given that p is invertible and a = pbp^(-1), we want to solve for b in terms of a.
First, let's multiply both sides of the equation by p:
ap = pb
Now, we can substitute pb with ap from the given equation:
a = apbp^(-1)
Multiplying both sides by p:
ap = apbp^(-1)p
ap = ab
Dividing both sides by a:
b = p^(-1)
Therefore, b is equal to the inverse of p.
In conclusion, b = p^(-1) in terms of a.
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25.8 commuting to work: a community survey sampled people in colorado and asked them how long it took them to commute to work each day. the sample mean one-way commute time was minutes with a standard deviation of minutes. a transportation engineer claims that the mean commute time is greater than minutes. do the data provide convincing evidence that the engineer's claim is true? use the level of significance and the critical value method with the
The data supports the claim made by the transport engineer that the average commuting time is longer than 25.8 minutes.
We can do a hypothesis test using the critical value approach with a predetermined level of significance to see if the data supports the transportation engineer's claim that the mean travel time is longer than 25.8 minutes.
The steps are as follows:
Describe the underlying theory and any alternatives.
The assumption that the mean commuting time is not longer than 25.8 minutes is the null hypothesis (H0).
The contrary hypothesis (Ha) states that the average travel duration exceeds 25.8 minutes.
H0: μ ≤ 25.8 Ha: μ > 25.8
Identify the critical value that corresponds to the significance level.
We need to determine the crucial value from the t-distribution with n-1 degrees of freedom, where n is the sample size, assuming a level of significance of = 0.05 (i.e., a 5% probability of making a Type I error).
We may apply the t-statistic's formula because sample size and population standard deviation are known:
t = ( \(\bar{x}\)- μ) / (s / √n) is the sample mean, is the estimated population mean, n is the sample size, and s is the sample standard deviation.
After entering the values from the issue, we obtain:
t = (\(\bar{x}\) - μ) / (s / √n)
= (26.4 - 25.8) / (3.6 / √100)
= 1.67
According to a t-distribution table or calculator, the critical value for a one-tailed test at = 0.05 with 99 degrees of freedom is 1.660.
Make a test statistic calculation.
The test statistic was already computed in Step 2: t = 1.67.
Make a choice, then analyse the outcomes.
We reject the null hypothesis and come to the conclusion that there is enough evidence to support the alternative hypothesis that the mean commute time is longer than 25.8 minutes because the estimated test statistic (t = 1.67) is greater than the crucial value (t* = 1.660).
In other words, we can state with 95% certainty that the true population mean commute time is longer than 25.8 minutes based on the sample data.
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HELPP ME PLEASE!!!!!
Answer:
-6×-4 and -2×-12 are pairs
-3×4 and 6×-2 are pairs
-8×-2 and 4×4 are pairs
the rest are left overs
Let A = Aaron's age today and M = Maria's age today.
o Today, Maria is 10 years older than Aaron. Write this statement as an
equation.
o What will Maria's age be in 6 years (in terms of M)? What will Aaron's
age be in 6 years (In terms of A)?
o In 6 years, Maria will be twice as old as Aaron. Write this statement as
an equation. (HINT: The answer is NOT M=2*A as that would indicate
that Maria's age today is twice Aaron's age today. Maria's age 6 years
from now is twice Aaron's age 6 years from now)
o Using the equations you found above, how old are Aaron and Maria
TODAY?
Aaron is 4 years and Maria is 14 years old.
A = Aaron's age today
M = Maria's age today.
a. The equation based on the statement given will be:
M = A + 10
b. Maria's age based on the statement in 6 years will be:
= (A + 10) + 6
= A + 16
c. Based on the information above, the equation to solve their ages will be:
A + 16 = 2(A + 6)
A + 16 = 2A + 12
Collect like terms
2A - A = 16 - 12
A = 4
Therefore, Aaron is 4 and Maria is 14 years.
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What is the triple of 6 answer?.
Answer:
Not sure what you are asking, but 6 to the third power = 216 and 6 times 3 = 18. Hopefully one of those is the answer you are looking for.
What is the area of this parallelogram?
Answer: B
Step-by-step explanation:
Area = 4 x 5
= 20 cm^2
Remember that area of parallelogram is the base x perpendicular height. is The perpendicular height is not 6cm but 5cm. (right angle labelled on diagram)
Answer: 20 cm²
Step-by-step explanation:
area parallelogram = base x height
=> 4 x 5 = 20
The radius of a circle with area A can be approximated using the formula r = the square root of A/3 . Estimate the radius of a wrestling mat circle with an area of 452 square feet. Round to the nearest integer.
Answer: 12
Step-by-step explanation:
Given:
A = 452
r = √A/3
Step 1: Substitute 452sqf for A
r = √452/3
Step 2: Solve
452 ÷ 3 = 150.66∞
√150.66∞ = 12.27∞
12.27∞ rounded to the nearest integer equal 12
NO LINKSSSSSSSSSSSS please help
Answer:
I know this aint no clever bro cmon that stuff is easy
Step-by-step explanation:
PLS HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
A, C, and E
Step-by-step explanation:
C is correct because it is a vertical angle
E is correct because it is equal to angle 10 and 10 is a linear pair to angle 9
A is correct because it is equal to angle 6 and 6 is a linear pair to angle 5
Edgar is at his friends house playing pool. There is a 1 in 4 chance that he will make his next shot. What is the probability that he will miss the shot?
please help!
Answer:
3/4, there is a 3 in 4 chance that he will miss his next shot
£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer: Paul gets £186
Step-by-step explanation:
Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.
1/2 * 1/3 = 1/6
So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.
1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6
Now, divide 620 by 1 4/6 to find Malachy’s amount.
620/1 4/6 = 372
Now, divde 372 by 2 to get Paul’s amount.
372/2 = 186
Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage? O A. 6.50, 6.25, 6.00, 5.75, 5.50, ... O B. 6.50, 13.00, 19.50, 26.00, 32.50, ... O C. 0.25, 0.50, 0.75, 1.00, 1.25, ... O D. 6.75, 7.00, 7.25, 7.50, ... O , E. 6.50, 6.75, 7.00, 7.25, 7.50, ...
Answer:
$6.50,$6.75,$7.00,$7.25,$7.50,$7.75+
Step-by-step explanation:
all you need to do is add .25
No stealing points!!!!!
Answer:
8.74x10^5
Step-by-step explanation:
I think this is it..hope it helps
8.8*10^5 - 6000 = 874000 =8.74 x 10^5 in scientific notation.
can i get some help thanks
Answer:
9300 maybe
Step-by-step explanation:
If you multiply or divide both sides of an inequality by a negative number, you must __________ the inequality sign.
If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.
What is the difference between an equation and an inequality?A statement that upholds the equality of two mathematical expressions is known as an equation. An identity is a statement that is true regardless of the value of each variable. A conditional equation is one that only holds true for certain values of one or more variables.
On the other hand, an inequality is a claim that indicates that one quantity has a greater or lesser value than another using the symbols > for greater than or for lesser than. An inequality has values for every variable, much like an identity. It concentrates on two-variable inequalities with a single exponent.
If both sides of an inequality are multiplied or divided by a negative value, the inequality sign must be reversed. This is due to the fact that adding or subtracting a negative integer causes the numbers on the number line to appear in reverse order.
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3.96 divide by 1.87 can someone help me divide this two number please and please hurry up because
Answer:
2.11764705
Step-by-step explanation:
Brainliest?
A movie theater charges $9.00 for adults and $7.00 for senior citizens. One a day when 325 people
paid an admission, the total receipts were $2495. How many who paid were adults? How many were
seniors? (please show your work)
Answer:
325 x 7.00 = 2275.
2495 - 2275 = 220.
3(-4x - 8) = (Use distributive property to rewrite each expression)
john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. what was his average speed for the whole journey?
The average speed of John for the whole journey is 54km/h.
What is the average speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.
Speed is the rate of movement of something at a specific time.
Average speed refers to the average speed over the course of a journey.
So, the average speed will be:
Distance = speed x time
d₁ = v₁ x t₁
d₁ = 50 x 3
d₁ = 150 km
d₂ = v₂ x t₂
d₂ = 60 x 2
d₂ = 120 km
So,
D = d₁ + d₂
D = 150 + 120
D = 270 km
Utilizing the S formula:
S = D/ T
S = 270 / 5
S = 54 km/hr
S = 54km/hr
Therefore, the average speed of John for the whole journey is 54km/h.
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Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
sin(u) = −3/5, 3????/2 < u < 2????
Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
tan(u) = 5/3, 0 < u < ????/2
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
75°
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
????/8
The expressions are solved below :
sinu = -3/5 3π/2 < u < 2π is [ 4th quadrant ]
Now we know that
By using trigonometric identities,
When there are trigonometric functions present in an expression or equation, trigonometric Identities come in handy. Every value of a variable appearing on both sides of an equation is valid in terms of trigonometric identities. These trigonometric functions of one or more angles, such sine, cosine, and tangent, are involved in these geometric identities.
sin²u + cos²u = 1
cos²u= 1-sin²u
cos²u = 1 -(-3/5)²
cos²u= 1 - 9/25
cosu = +4/5
:. u is in 4th quadrant
Now
1. sin2u = 2 sinu cosu
= 2 (-3/5)(4/5) = -24/25
2. cos2u = 2cos²u- 1
= 2(4/5)²- 1
= 7/25
3. tan2u = sin2u /cos2u
= -24/7
The exact values of the sine, cosine, and tangent of the angle are found.
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Assume the car can be purchased for 0% down for 60 months (in lieu of rebate). A car with a sticker price of $36,650 with factory and dealer rebates of $4,200 (a) Find the monthly payment if financed for 60 months at 0% APR. (Round your answer to the nearest cent.) $ (b) Find the monthly payment if financed at 2.5% add-on interest for 60 months. (Round your answer to the nearest cent.) $ (c) Use the APR approximation formula to find the APR for part (b). (Round your answer to one decimal place.) % (d) State whether the 0% APR or the 2.5% add-on rate should be preferred. 0% APR 2.5% add-on rate
a) the monthly payment at 0% APR is $540.83.
(a) To find the monthly payment if financed for 60 months at 0% APR, we can simply divide the sticker price minus the rebates by the number of months:
Sticker price - rebates = $36,650 - $4,200 = $32,450
Monthly payment = $32,450 / 60 = $540.83 (rounded to the nearest cent)
(b) To find the monthly payment if financed at 2.5% add-on interest for 60 months, we need to calculate the total amount to be repaid, which includes the principal amount and the interest.
Total amount to be repaid = Sticker price - rebates + (Sticker price - rebates) * (interest rate) * (number of months)
= $32,450 + $32,450 * 0.025 * 60
= $32,450 + $48,675
= $81,125
Monthly payment = Total amount to be repaid / number of months
= $81,125 / 60
= $1,352.08 (rounded to the nearest cent)
Therefore, the monthly payment at 2.5% add-on interest is $1,352.08.
(c) To find the APR for the 2.5% add-on interest rate using the APR approximation formula, we can use the following formula:
APR = (interest rate) * (number of payments) / (principal amount) * (1 + (interest rate) * (number of payments))
In this case, the principal amount is $32,450, the interest rate is 2.5%, and the number of payments is 60.
APR = 0.025 * 60 / $32,450 * (1 + 0.025 * 60)
= 0.03846
The APR for the 2.5% add-on interest rate is approximately 3.8%.
(d) Comparing the options, the 0% APR should be preferred over the 2.5% add-on rate. This is because with 0% APR, there is no interest charged on the loan, resulting in a lower monthly payment and a total repayment amount closer to the sticker price minus the rebates. The 2.5% add-on rate involves paying interest on the loan, which increases the total repayment amount and the monthly payment.
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If an original conditional statement is represented using p → q, which represents the converse?
Answer:
The original conditional statement is represented as p→q, not p−q. Now, the converse of a conditional statement is formed by switching the hypothesis and the conclusion. So, if the original statement is p→q, then the converse is q→p.
Hope it helped:)
A palindrome is a word or number that is the same when read forwards or backwards. For example, DAD is a palindrome, and so is
RACECAR. 484 is a palindrome number, and so is 9229.
What is the sum of a three digit palindrome number that ends in 71 and a four digit palindrome number that ends in 83?
Answer:
4054
Explanation:
171 is the three-digit palindrome that ends with 71
3883 is the four-digit palindrome that ends with 83
171 + 3883 = 4054
can somebody help me please !
both triangles are isosceles
done!
Identify the factors of the function y = 6x2 – 9x
Answer:
3x(2x - 3)
Step-by-step explanation:
Given
y = 6x² - 9x ← factor out 3x from each term
= 3x(2x - 3)