Answer:
f(t) = 100,000 ⋅ 0.012 t
Step-by-step explanation:
20% of city employees ride the bus to work. This is up 10% from last year. What percent of employees rode the bus to work last year?
Answer:
18.18% of employees rode the bus to work last year
Step-by-step explanation:
This question can be solved using a rule of three.
Last year, a proportion of x employees riding the bus was 100% = 1.
This year, 20% = 0.2 ride the bus, which is 100 + 10 = 110% = 1.1 of last year.
So
0.2 - 1.1
x - 1
[tex]1.1x = 0.2[/tex]
[tex]x = \frac{0.2}{1.1}[/tex]
[tex]x = 0.1818[/tex]
0.1818*100 = 18.18%
18.18% of employees rode the bus to work last year
The two triangles are similar. What is the value of x? Enter your answer in the box. x =
Answer:
the value of x=12
Step-by-step explanation:
d) the answer is d on edg.
What is the complete factorization of x^2+4x-45?
Answer:(x-5)(x+9)
Step-by-step explanation:
You want two numbers that can give you -45 in multiplication and two numbers that can add to 4 and that is -5 and 9.
Answer: (x - 5)(x + 9)
If you have to solve, x=5 or x= -9
Step-by-step explanation: You need two numbers that multiply to be 45.
(could be 3 × 15 or 5 × 9) . The difference between the two factors needs to be 4, the coefficient of the middle term.
9 - 5 =4, so use those. -45 has a negative sign, so one of the factors must be + and the other - Since the 4 has the + sign, the larger factor has to be + so the difference will be positive.
So (x -5)(x + 9) are your factors. You can FOIL to be sure
x × x += x² . x × 9 = 9x . -5 × x = -5x . -5 × 9 = -45 .
Combine the x terms: 9x -5x = +4x
Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?
Each side of the square would have to be 6 cm to have an area of 36 cm^2. However, as a side can never be 0, and you never gave a starting size for the square, the question is unanswerable.
Which of the following statements about the backward elimination procedure is false? a. It does not permit an independent variable to be reentered once it has been removed. b. It is a one-variable-at-a-time procedure. c. It does not guarantee that the best regression model will be found. d. It begins with the regression model found using the forward selection procedure.
Answer:
c. It does not guarantee that the best regression model will be found.
Step-by-step explanation:
Backward elimination (or deletion) procedure requires a subsequent removal of individual independent variables in an equation to derive an appropriate regression equation. It is a step-wise operation which make use of a predefined criterion for essential variables.
One of its main importance is that it ensure that the best regression model is found by removal of inconsequential variables.
Therefore, the appropriate answer to the given question is option C.
Answer:
c. It does not guarantee that the best regression model will be found.
Step-by-step explanation:
carlos hiked 1 3/4 miles along a nature trail to a fork in the trail. he then hiked 2 1/2 miles along a path that led to a waterfall. how much longer is the trail from the fork to the waterfall than the first part of the trail. Someone plz help
Answer:
3/4 miles longer
Step-by-step explanation:
its 1 3/4 the other is only 1. so answer is 3/4
Anna spends $4.65 each weekday (20 weekdays/month) on coffee and buys a bag of coffee for $8.99 that lasts 6 months. Her monthly income is $2,350. What percent of her monthly income does she spend on coffee? 1) 0.58% 2)4.34% 3) 4.02% 4) 4.65%
Answer:
C. 4.02%
Step-by-step explanation:
Anna spends $4.65 each weekday (20 weekdays/month) on coffee and buys a bag of coffee for $8.99 that lasts 6 months. Her monthly income is $2,350. What percent of her monthly income does she spend on coffee? 1) 0.58% 2)4.34% 3) 4.02% 4) 4.65%
She spends $4.65/weekday, and there are 20 weekdays/month
In 1 month, she spends:
$4.65/weekday * 20 weekdays/month = $93/month
In 6 months, she spends 6 * $93 = $558
She buys a bag of coffee for $8.99 that lasts 6 months.
The total cost of all coffee in 6 months is:
$558 + $8.99 = $566.99
Her income in 1 month is $2,350
Her income in 6 months is 6 * $2,350 = $14,100
The percent is:
566.99/14,100 * 100% = 4.02%
Answer: 3) 4.02%
The area of a gymnasium floor is 264 square yards. the floor is 11 yards wide. How long is the floor?
Answer:
24 yards long
Step-by-step explanation:
if A=l*w then it's 264=l*11
if you divide 264 (area) by 11 (width) then the answer is 24 which is the length
Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.41, and the probability of making three to five errors per 1,000 keystrokes is 0.22. Find the probabilities (per 1,000 keystrokes) associated with each of the following.(a) at most two errors(b) at least three errors(c) at most five errors(d) more than five errors
Answer:
(a) P(0≤x≤2) = 0.41
(b) P(x≥3) = 0.59
(c) P(x≤5) = 0.63
(d) P(x≥6) = 0.37
Step-by-step explanation:
(a) The probability to have at most two errors is the probability to have 0, 1 or 2 errors or the probability of making zero to two errors. So, the probability to have at most two error is:
P(0≤x≤2) = 0.41
(b) The probability to have at least three errors is the probability to have 3 or more errors. So, it can be calculated as:
P(x≥3) = 1 - P(x≤2)
P(x≥3) = 1 - 0.41
P(x≥3) = 0.59
(c) The probability to have at most five error is the probability to have 0, 1, 2, 3, 4 or 5 errors. This can be calculated as the sum of the probability to have zero to two errors and the probability to have three to five errors as:
P(x≤5) = P(0≤x≤2) + P(3≤x≤5)
P(x≤5) = 0.41 + 0.22
P(x≤5) = 0.63
(d) The probability to have more than five errors is the probability to have 6 or more errors. So, it can be calculated as:
P(x≥6) = 1 - P(x≤5)
P(x≥6) = 1 - 0.63
P(x≥6) = 0.37
Currently patrons at the library speak at an average of 64 decibels. Will this average decline after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 47 people speaking at the library. Their average decibel level was 63.2 and their standard deviation was 5. What can be concluded at the the α α = 0.05 level of significance?
Answer:
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 64[/tex]
The sample size is [tex]n = 47[/tex]
The sample mean is [tex]\= x = 63.2[/tex]
The sample standard deviation is [tex]\sigma = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The Null Hypothesis is
[tex]H_o : \mu = 64[/tex]
The Alternative Hypothesis is
[tex]H_a : \mu \ne 64[/tex]
The test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{63.1 - 64 }{\frac{5 }{\sqrt{47} } }[/tex]
[tex]t = -1.234[/tex]
The negative sign show that this is a left-tail test
Now the critical value of the level of significance obtained from the critical values table is
[tex]z_{0.05} = 1.645[/tex]
Now comparing the critical value of the [tex]\alpha[/tex] and the test statistics we see that critical value is greater than the test statistic which implies that the null hypothesis is rejected.
The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=" for 2 if necessary.
-2(5x + 1) > 48
Answer here
Answer:
x < -5
Step-by-step explanation:
-2(5x + 1) > 48
Divide by -2, remembering to flip the inequality
-2/ -2(5x + 1) < 48/-2
5x +1 < -24
Subtract 1 from each side
5x+1-1 < -24-1
5x < -25
Divide by 5
5x/5 < -25/5
x < -5
Merry Soy, married, earns a weekly salary of $830 and claims one withholding allowance. By the percentage method, how much income tax will be withheld? (Use tables in the text or the Handbook.)
Answer:
Hello!
_____________________
The total amount of income tax to withhold is: 35.70 + 34.67 = 70.37$
Step-by-step explanation: Subtract this amount from the salary: 830 - 77.90 = 752.1 $. This is the amount subject to withholding.
The amount subject to withholding is between 521 and 1613$, which means that the income tax to withhold is: 35.70$ + 15% of excess over $521
Therefore, calculate the excess: 752.1 - 521 = 231.1$
Now, calculate the percentage: 231.1 × 15 ÷ 100 = 34.67$
Hope this helped you!
4. Find the total area of the four walls of a room 10 m long, 8 m wide
and 3 m
high.
Answer:
268m²
Step-by-step explanation:
given,
l= 10m
b= 8m
h= 3m
A = ?
we know,
A = 2 (lb + bh + lh)
= 2 (10m×8m + 8m×3m + 10m×3m)
= 2 ( 80m² + 24m² + 30m² )
= 2 ( 134m² )
= 268m²
Which of the following is an even function? (A) g(x)=5x+2 (B) g(x)=x (C) g(x)= x 2 (D) g(x)=x3 (E) g(x)=−|x|
Answer:
(C) g(x) = x² and (E) g(x) = -|x|Step-by-step explanation:
If f(x) is an even function, then f(-x) = f(x).
(A)
g(x) = 5x + 2
g(-x) = 5(-x) + 2 = -5x + 2
g(-x) ≠ g(x)
(B)
g(x) = g(x) = x
g(-x) = -x
g(-x) ≠ g(x)
(C)
g(x) = x²
g(-x) = (-x)² = (-1x)² = (-1)²(x)² = x²
g(-x) = g(x)
(D)
g(x) = x³
g(-x) = (-x)³ = (-1x)³ = (-1)³(x)³ = -1x³ = -x³
g(-x) ≠ g(x)
(E)
g(x) = -|x|
g(-x) = -|-x| = -|-1x| = -(|-1|)(|x|) = -1|x| = -|x|
g(-x) = g(x)
What numbers can you make with 1, 2, 3, and 4? Using the operations of addition, subtraction, and multiplication, we can make many different numbers. You can use parentheses as many times as you like and each of the numbers 1, 2, 3, and 4 can be used at most once.
Answer:
-23 to 28 and 30, 32, 36
Step-by-step explanation:
These numbers can be made:
{-23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 36}
For example,
36 = (1+2)(3)(4)-23 = 1 -(2)(3)(4)Let x=−1−5i and y=5−i. Find x⋅y.
Answer:
-10 -24i
Step-by-step explanation:
Note : i=√-1 (imaginary number)
i² = -1
xy
= (−1−5i)(5−i)
= -5 +i -25i +5i²
=-5 +i -25i + 5(-1)
= -5 +i -25i -5
= -5 -5 +i -25i
= -10 -24i
A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The value of x·y is (−10 −24i).
What is a complex number?A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.
Given that x=−1−5i and y=5−i. Therefore, the value of x·y is,
x·y = (−1 −5i)(5-i)
= −5 + i −25i +5i²
= −5 −24i − 5
= −10 −24i
Hence, the value of x·y is (−10 −24i).
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A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square base and let y represent the height.)
(a) Determine the dimensions that yield the minimum surface area.
(b) Find the minimum surface area.
Answer:
a) 18 in x 18 in x 18 in
b) [tex]S = 1944\ in2[/tex]
Step-by-step explanation:
a) Let's call 's' the side of the square base and 'h' the height of the solid.
The surface area is given by the equation:
[tex]S = 2s^2 + 4sh[/tex]
The volume of the solid is given by the equation:
[tex]V = s^2h = 5832[/tex]
From the volume equation, we have that:
[tex]h = 5832/s^2[/tex]
Then, using this value of h in the surface area equation, we have:
[tex]S = 2s^2 + 4s(5832/s^2)[/tex]
[tex]S = 2s^2 + 23328/s[/tex]
To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:
[tex]dS/ds = 4s - 23328/s^2 = 0[/tex]
[tex]4s = 23328/s^2[/tex]
[tex]4s^3 = 23328[/tex]
[tex]s^3 = 23328/4 = 5832[/tex]
[tex]s = 18\ inches[/tex]
The height of the solid is:
[tex]h = 5832/(18)^2 = 18\ inches[/tex]
b) The minimum surface area is:
[tex]S = 2(18)^2 + 4(18)(18)[/tex]
[tex]S = 1944\ in2[/tex]
a dense fog advisory means visibility is less than 1/8 of a mile
-true
-false
when should homeowners ask their lenders for mortgage modification
Homeowners may consider asking their lenders for mortgage modification in the following situations listed below:
When should homeowners ask their lenders for mortgage modification?1. Financial hardship: If a homeowner is facing financial hardship as a result of a large decrease in income, unanticipated medical expenditures, or other unforeseen events
2. Changes in interest rates: If interest rates have fallen significantly after the homeowner obtained their mortgage, they may be able to negotiate a lower interest rate through mortgage modification.
3. Default: If a homeowner has fallen behind on their mortgage payments and is facing foreclosure, mortgage modification may be an option for bringing the loan up to date and avoiding foreclosure.
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Answer:
When they know they can't afford it & before the next payment
Step-by-step explanation:
help help help pls pls
Answer:
C. {2.4, 4.8, 6.3, 8.8}
Step-by-step explanation:
You only need to find the first domain value to make the appropriate answer selection.
14.1 = 7x -2.7
16.8 = 7x . . . . . . add 2.7
2.4 = x . . . . . . . . divide by 7
The appropriate choice is ...
C. {2.4, 4.8, 6.3, 8.8}
_____
In the attachment, we have applied the same "solve for x" steps to each of the range values, confirming our answer choice.
What is the arithmetic mean between 27 and -3
if p+4/p-4, what is the value of p
Answer:
p = 2
Step-by-step explanation:
p + 4/p - 4
multiplying through by p,
p×p + 4/p ×p - 4×p
p² + 4 - 4p = 0
p² - 4p + 4 = 0
factorizing,
p(p - 2) -2(p - 2) =0
(p -2)(p -2) =0
p-2 =0
p=2
HELP PLEASE!!What method can you use to find the area of the composite figure. Check ALL that apply.
Answer:
C
Step-by-step explanation:
The reason we can use this method is because we are given a composite figure with a house shape with one triangle on top. We can use the guidance of the dotted lines to make out that a rectangle can be used to find the figure. We can see that apart from the figure, there are two congruent triangles. To find the area we would do -
First find the missing height of the smaller triangles. We would use the pythagorean theorem to find that the missing height is√5
We could do 8(4) = 32 to find the area of the rectangle.
Then, we could do 2√5/2 to find one missing triangle. We could then add the triangles to find the measures of the combined triangles as 2√5. Then, we could do 32 - 2√5 to find the area as 27.5.
Hope this helps :)
Answer:
it is A,B,D
Step-by-step explanation:
i got it right on edge
simpifly (-5x2 - 3x - 7) + (-2x3 + 6x2 - 8)
Answer:
-2x³ + x² - 3x - 15
Step-by-step explanation:
Simply combine like terms together:
-5x² - 3x - 7 - 2x³ + 6x² - 8
-2x³ + (-5x² + 6x²) - 3x + (-7 - 8)
-2x³ + x² - 3x + (-7 - 8)
-2x³ + x² - 3x - 15
Answer: -2x^3+x^2-3x-15
Step-by-step explanation:
As there is only addition and subtraction here, and the two groups of parenthesis are added, you can ignore the parenthesis.
Thus, simply combine like terms to get.
-2x^3+x^2-3x-15
Hope it helps <3
I got the answer but I really don’t know if it’s correct or not, please help this is due today
PLEASE ANSWER ASAP! please
Answer:
3 ÷ 0.5
Step-by-step explanation:
Since each large square is 1 whole, and theirs five out of 10 columns that are distinctivly a different orange, it'd be 3 divided by 0.5.
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is μ = 10.00Mbps. The sample size is n = 32 and the test statistic is z = - 2.816.
What is the p-value?
(Round to three decimal places as needed.)
Answer:
P-value = 0.002
Step-by-step explanation:
The claim is that for a smartphone carrier's data speeds at airports, the mean is μ = 10.00 Mbps. This is the null hypothesis that is tested.
Then, the alternative hypothesis will represent the claim that the mean data speed is less than 10.00 Mbps.
We can write this as:
[tex]H_0: \mu=10\\\\H_a:\mu< 10[/tex]
We have a sample size n=32. As the test statistic is z, and not t, we don't need to calculate the degrees of freedom.
The test statistic is z=-2.816. This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z<-2.816)=0.002[/tex]
Which of the following represents a coefficient from the expression given?
9x – 20 + x2
Answer:
1 or 9.
Step-by-step explanation:
A coefficient is "a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy)".
So, in this case, the coefficient of 9x would be 9.
The coefficient of x^2 would be 1.
Hope this helps!
In the given quadratic expression 9x - 20 + x, 1, 9, and -20 are the coefficients.
What are coefficients in a quadratic expression?In a quadratic expression of the standard form ax² + bx + c, x is the variable and a, b, and c are the numeric coefficients.
How to solve the given question?In the question, we are asked to identify the coefficients from the given quadratic expression 9x - 20 + x².
First, we try to express the given quadratic expression, 9x - 20 + x², in the standard form of a quadratic expression, ax² + bx + c.
Therefore, 9x - 20 + x² = x² + 9x - 20.
Comparing the expression x² + 9x - 20 with the standard form of a quadratic expression ax² + bx + c, we get a = 1, b = 9, c = -20.
We know that in a quadratic expression ax² + bx + c, x is the variable and a, b, and c are the numeric coefficients.
Thus, we can say that in the given quadratic expression 9x - 20 + x², 1, 9, and -20 are the coefficients.
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There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(red or not orange)
Answer: [tex]\frac{6}{25}[/tex]
In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of [tex]\frac{6}{25}[/tex]
Hope this helped you!
Step-by-step explanation:
if jonny has 3 × 6 amounts of dish soap, how much dish soap does he have?!
a(I dont know)
b(18)
c(12)
d(6)
look up a skit called what's 6×3 before answering.
Answer: 18 (b)
Step-by-step explanation:
3x6=18
Answer:
18
Step-by-step explanation:
you can use a visual for a short answer or organize 3 dots in six groups, count in total