Answer:
$7
Step-by-step explanation:
38-3=35
35/5=7
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
6. a production manager at a clock company wants to test their new clocks. the designer claims they have a mean life of 15 years with a variance of 25. if the claim is true, in a sample of 41 clocks, what is the probability that the mean clock life would be greater than 15.4 years
The probability that the mean clock life would be greater than 0.4 years is 1
We know,
mean life = μ = 15
variance = \(σ^{2}\) = 25
which implies σ = 25 = 5
Number of samples = n = 41
Event to compute its probability = X ≥ 0.4
So,
z = \(\frac{x}{y}\)
where x = X - μ = 0.4 - 15 = -14.6
and y = σ / √n = 5 / √41 = 0.78
Therefore,
z = \(\frac{-14.6}{0.78}\) = -18.7
Using the properties of normal distribution,
Pr(X ≥ 0.4) = Pr( Z ≥ -18.7)
= 1
Therefore,
The probability that the mean clock life would be greater than 0.4 years is 1.
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What is 1.8 - (-3.25)
Answer:
5.05
Step-by-step explanation:
Answer:
1.45
Step-by-step explanation:
1.8−3.25
=1.8−3.25
=1.8+−3.25
=−1.45
Wendy was riding her bike along a trail and travelled 56 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour.
What was Wendy's unit rate for her bike ride? (Miles per Hour)
Answer:
Is Wendy was going faster at 10.5 mph.
To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1
Can someone help me please
Answer:
Here you go
Step-by-step explanation:
BTW what is meant by point in the last blank?
Answer:
equation y = 3x-1
slope = 3
about the point blank I'm not sure what it is asking for
Can you help me plz on this
Answer: A
Step-by-step explanation: I think it's point A.
(4x+3)^2=225^2
Simplify and find the solution
Answer:
hi is this correct please let me know
Step-by-step explanation:
4x
4
+91x
2
−225=0
Substitute t for x
2
.
4t
2
+91t−225=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 4 for a, 91 for b, and −225 for c in the quadratic formula.
t=
2×4
−91±
91
2
−4×4(−225)
Do the calculations.
t=
8
−91±109
Solve the equation t=
8
−91±109
when ± is plus and when ± is minus.
t= 49
t=−25
What is the slope of the line that goes through
(2,-2) and (-1, 1)?
Answer:
m = -1
Step-by-step explanation:
use the slope formula so m = 1- -2 / -1 - 2
m = 1+2/-3, m=3/-3 so m = -1
please help no links!
I'm not sure you're not giving enough information but I'd probably go with B
evaluate the line integral along the path c given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. c x 3y2 dy
To evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1, we can follow these steps:
1. Rewrite the given integral in terms of t using the parameterization of the path: C: x = 2t, y = 4t.
2. Compute the derivatives dx/dt and dy/dt.
3. Substitute the parameterization and derivatives into the line integral.
4. Evaluate the integral over the specified interval.
Step 1:
The integral in terms of t is: ∫(3y² dy)
Step 2:
dx/dt = 2
dy/dt = 4
Step 3:
Substitute the parameterization and derivatives:
∫(3(4t)² * 4 dt) over the interval [0, 1]
Step 4:
Evaluate the integral:
∫(3 * 16t² * 4 dt) from 0 to 1
= 192 ∫(t² dt) from 0 to 1
Now, integrate and evaluate the integral:
= 192 * [1/3 * t^3] from 0 to 1
= 192 * (1/3 * 1^3 - 1/3 * 0^3)
= 64
So, the value of the line integral along the path C is 64.
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Fencing costs $5.45 per foot and sod costs o.65 per square foot. to allow for measurements error, cartwr plans to but and estra 10 percent of both material. how much will it cost carter to purchase the materials
The most appropriate choice for percentage will be given by
Cost of fencing 1.1 foot = $5.995
Cost of sodding 1.1 sq. foot = $0.715
Total cost of fencing and sodding = $6.71
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example- 2% means \(\frac{2}{100}\)
Here,
Cost of fencing 1 foot = $5.45
10% of 1 foot = \(\frac{10}{100}\times 1\)
= 0.1 foot
1 foot + 10% of 1 foot = 1 + 0.1 = 1.1 feet
cost of fencing 1.1 foot = $5.45 \(\times\) 1.1 = $5.995
Cost of sodding 1 sq foot = $0.65
Cost of sodding 1.1 sq foot = $0.65 \(\times\) 1.1 = $0.715
Total cost of fencing and sodding = $(5.995 + 0.715)
= $6.71
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A circular disc has a diameter of 24 cm. What is the area of the disc?
Answer:
not 24 i got an 80 its not 24 though
Step-by-step explanation:
i dont know how this helps but there you go
Between which rational numbers does 30−−√ fall?
Rational number which does the square root of 30 fall is between 5 and 5.5.
Define rational number.A rational number is any number that can be expressed as a ratio (or fraction) of two integers. p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.
Given,
25 and 36, which are the squares of 5 and 6, respectively, are the perfect squares that are most similar to 30.
Therefore, the square root of 30 will lie between 5 and 6. Additionally, the square root of 30 will be between 5 and 5.5 because it is closer to 25 than it is to 36.
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Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?
Answer:
$2.33
Step-by-step explanation:
6.99/3 = 2.33
Divide cost of 3 boxes by 3:
6.99/3 = 2.33
1 box cost $2.33
The temperature F, in degrees Fahrenheit, of a cup of coffee t minutes after it is poured is given by F(t)= 72 + 118e^-0. 093t. To the nearest degree, what is the average temperature of the coffee between t= 0 and t= 10 minutes?
A. 93 degrees
B. 119 degrees
C. 146 degrees
D. 149 degrees
E. 154 degrees
The average temperature of the coffee between t = 0 and t = 10 minutes is approximately 146 degrees.
Option C is the correct answer.
We have,
To find the average temperature of the coffee between t = 0 and t = 10 minutes, we need to calculate the average value of the temperature function F(t) over that interval.
The formula for the average value of a function f(x) over an interval [a, b] is given by:
Average value = (1 / (b - a)) x ∫[a to b] f(x) dx
In this case,
We want to find the average temperature over the interval [0, 10] minutes, so our formula becomes:
Average temperature = (1 / (10 - 0)) x ∫[0 to 10] F(t) dt
To find the integral of F(t), we need to calculate the antiderivative of F(t):
∫ F(t) dt = ∫ \((72 + 118e^{-0.093t}) dt\)
Using the power rule of integration and the fact that the integral of \(e^x\) is \(e^x\), we can evaluate the integral:
∫ F(t) dt =\(72t - (118 / 0.093) \times e^{-0.093t}\)
Now,
Average temperature = (1 / 10) x ∫[0 to 10] F(t) dt
Average temperature = (1 / 10) x (72(10) - (118 / 0.093) x \(e^{-0.093(10)}\) - (72(0) - (118 / 0.093) x \(e^{-0.093(0)}))\)
Simplifying further:
Average temperature = (1 / 10) x (720 - (118 / 0.093) x \(e^{-0.93}\) - 0)
Using a calculator, we find:
Average temperature ≈ 146 degrees
Therefore,
The average temperature of the coffee between t = 0 and t = 10 minutes is approximately 146 degrees.
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A car dealership has 8 red, 9 silver, and 5 black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below. (a) Find the probability that 4 cars are red and the rest are silver. (Round to four decimal places as needed.) (b) Find the probability that 5 cars are red and 5 are black. (Round to six decimal places as needed.) (c) Find the probability that exactly 8 cars are red. (Round to five decimal places as needed.)
The probability that 4 cars are red and the rest are silver is 9. The probability that 5 cars are red and 5 are black is 0. The probability that exactly 8 cars are red is 1.
a)The number of red cars on the lot is 8, the number of silver cars is 9, and the number of black cars is 5. If ten cars are randomly selected to be displayed, the probability of 4 being red and 6 being silver is:P(4 red and 6 silver) = C(8, 4) * C(9, 6) / C(22, 10)P(4 red and 6 silver) = 70 * 84 / 6,435,884P(4 red and 6 silver) ≈ 0.0009
b)If 5 red cars and 5 black cars are randomly selected to be displayed, the probability is:P(5 red and 5 black) = C(8, 5) * C(5, 5) / C(22, 10)P(5 red and 5 black) = 56 * 1 / 6,435,884P(5 red and 5 black) ≈ 0
c)The probability of exactly 8 red cars being displayed is:P(exactly 8 red) = C(8, 8) * C(14, 2) / C(22, 10)P(exactly 8 red) = 1 * 91 / 6,435,884P(exactly 8 red) ≈ 0.00001
Therefore, the explanations above show the detailed steps to determine the probability that 4 cars are red and the rest are silver, the probability that 5 cars are red and 5 are black, and the probability that exactly 8 cars are red respectively.
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NO LINKS PLEASE the question and answer is below
Multiply.
2x^4 (3x³ − x² + 4x)
Answer: A
Step-by-step explanation:
When multiplying: Numbers multiply with numbers and for the x's, add the exponents
If there is no exponent, you can assume an imaginary 1 is the exponent
2x⁴ (3x³ − x² + 4x)
= 6x⁷ -2x⁶ + 8x⁵
Answer:
A. \(6x^{7} - 2x^{6} + 8x^{5}\)
Step-by-StepLabel the parts of the expression:
Outside the parentheses = \(2x^{4}\)
Inside parentheses = \(3x^{3} -x^{2} + 4x\)
You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses
\(2x^{4}\) × \(3x^{3}\)
\(2x^{4}\) × \(-x^{2}\)
\(2x^{4}\) × \(4x\)
First, multiply the whole numbers of each value before the variables
2 x 3 = 6
2 x -1 = -2
2 x 4 = 8
Now you have:
6\(x^{4}x^{3}\)
-2\(x^{4}x^{2}\)
8\(x^{4} x\)
When you multiply exponents together, you multiply the bases as normal and add the exponents together
\(6x^{4+3}\) = \(6x^{7}\)
\(-2x^{4+2}\) = \(-2x^{6}\)
\(8x^{4+1}\) = \(8x^{5}\)
Put the numbers given above into an expression:
\(6x^{7} -2x^{6} +8x^{5}\)
Key Wordsdistribution
variable
like exponents
Hector has 3 shirts, 3 pairs of shorts, and 2 pairs of shoes in his locker for gym class. How many different outfits consisting of 1 shirt, 1 pair of shorts, and pair of shoes can he make?
Answer:
18 different outfits
Step-by-step explanation:
Hector can make 18 different outfits.
To see why, simply multiply the number of options for each item:
3 shirts x 3 shorts x 2 shoes = 18 possible outfits
Ms. Brown estimated 63 students would try out for the cross country team this year 70 students tried out what was her percent error
The percent error in estimating the number of students who will try out for the cross-country team is 11.11%.
How to calculate percent error?
Percent error can be calculated by using the following formula:
percent error = ( | estimated value - actual value | / actual value ) x 100,
where |...| indicates the absolute value (the positive difference between the two values).
Ms. Brown estimated 63 students would try out for the cross-country team this year, but 70 students tried out.
Actual value = 70
Estimated value = 63
Using the formula, percent error = (| estimated value - actual value | / actual value) x 100percent
error = (| 63 - 70 | / 70) x 100= 11.11%
Therefore, the percent error is 11.11%.
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determine whether the data described are nominal or ordinal. in the first round of the spelling bee, i came in second, but i came in first in the last round.
ordinal
nominal
The data described is a combination of both nominal and ordinal data. In the first round of the spelling bee is nominal data, and in the last round of the spelling bee is ordinal data.
The first round of the spelling bee is nominal data as it is a categorical variable that describes the order in which the participants ranked in that round. The first round did not have a specific rank or order, it was simply a categorical grouping. However, the last round of the spelling bee is an example of ordinal data as it is based on a specific order or rank. The participant came in first place in the last round, which is an example of ordinal data.
Ordinal data is a type of data that represents a specific order or ranking, while nominal data represents a categorical grouping. In the context of the spelling bee, the first round is an example of nominal data because it is simply a grouping of participants who performed in a certain way. In contrast, the last round of the spelling bee is an example of ordinal data because it involves a specific ranking or order that the participants achieved.
As it involves both categorical groupings and specific rankings. Understanding the difference between nominal and ordinal data is important when analyzing and interpreting data, as it can affect the statistical methods and techniques used to analyze the data.
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8
loo
Write each expression in the correct category in the chart.
5
Less than
8
5
Greater than
8
5
Equal to
00
Answer:
To divide powers with the same base and to simplify expressions with negative exponents. 1. Vocabulary Review. Is the expression x5 an exponent or a power
Step-by-step explanation:
1.In a leap year how many more days are there in May,June and July combined,than in Janurary,Feburary and March combined
2.I enjoy making curry. The recipe i like most uses 2 tablespoons of oil.There are 15ml in a tablespoon.From a full bottle I can make 8 curries but i find that i have 10ml of oil left over.How much oil is there in a full bottle?
Answer:
1) one more day
2) 250 ml
Step-by-step explanation:
in a leap year-
may = 31 days
june = 30 days
july = 31 days
(92 days)
january = 31 days
february = 29 days
march = 31
(91 days)
so, there is 1 more day.
------
to solve, I will write the value of 2 tablespoons as 30 ml (using the conversion rate provided)
so, 1 curry uses 30 ml.
If you have made 8 curries, you have used 240 (8 × 30 = 240) ml
If you have 10mls left over, that means the full bottle has
used + 10 mls
and we know that we have used 240, so in a full bottle,
there must be 250 (240 + 10) ml
250 ml
hope this helps!! :)
Answer:
\(\textsf {See below :}\)
Step-by-step explanation:
\(\textsf {Question 1}\\\)
\(\textsf {The only difference in a leap year is that February will have 29 days.}\)
\(\implies \textsf {Days in May, June, July = 31 + 30 + 31 = 92}\)
\(\implies \textsf {Days in January, February, March = 31 + 29 + 31 = 91}\)
\(\implies \textsf {Difference = 92 - 91 = 1}\)
\(\textsf {There is 1 more day in May, June, and July combined than}\\\textsf {in January, February, and March combined in a leap year.}}\)
\(\textsf {Question 2}\)
\(\textsf {Oil used in making 1 curry = 2(15) = 30 ml}\)
\(\textsf {Full bottle = 8 curries + 10 ml}\)
\(\textsf {Full bottle = 8(30) + 10}\)
\(\textsf {Full bottle = 240 + 10}\)
\(\textsf {Full bottle = 250 ml}\)
The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal areas. Find the length of the segment cut from the line by the two other sides of the triangle
Answer:
13√ 2
Step-by-step explanation:
√ 26*(26/2)
=√ 26*13 = √ 338 = 13√ 2
The length of the segment cut from the line by the two other sides of the triangle is \(13\sqrt{2\)
The length of the side is given as:
L= 26 inches
The length (d) of the line that divides the segment is calculated as:
\(d = \sqrt{(L/2)^2 + (L/2)^2\)
So, we have:
\(d = \sqrt{(26/2)^2 + (26/2)^2\)
Evaluate the quotients
\(d = \sqrt{13^2 + 13^2\)
Rewrite the expression as:
\(d = \sqrt{13^2* 2\)
Take the square root
\(d = 13\sqrt{2\)
Hence, the length of the segment is \(13\sqrt{2\)
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a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050. what is the standard error of the mean?
The standard error of the mean is $128.125
Given:
a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.
n = 256
σ = 2050
standard error = standard deviation / sqrt of n
= 2050/\(\sqrt{256}\)
= 2050 / \(\sqrt{16*16}\)
= 2050 / \(\sqrt{16^2}\)
= 2050/16
= 1025/8
= 128.125
Therefore The standard error of the mean is $128.125.
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help it's worth 15 points
Answer:
$340
Step-by-step explanation:
because first i divided 3,400 by 800 because thats how many bags pf ice that was sold over the weekend and then I got 4.25 and then I did 4.25*80 and I got $340 and I hope this helps u let me know
Answer: $340
Step-by-step explanation:
Create a proportion with the given values of 800 lbs = $3400
\(\dfrac{dollars}{pounds}:\ \dfrac{3400}{800}=\dfrac{x}{80}\)
Cross Multiply: 800x = 3400(80)
Divide by 800: x = 340
Estimate ΔyΔy using differentials.
y=cos(5x),=/30,x=0.055
(Give your answer to three decimal places.)
The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin(5x)dx. We are given that y=cos(5x)=π/30y=cos(5x)=π/30 and x=0.055x=0.055.
We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:
Δy≈dy≈dy=-5sin(5x)dx
Plugging in the values of y, x, and dxdx, we get:
Δy≈-5sin(5(0.055))(0.005)≈-0.00679
Therefore, the estimated change in yy using differentials is -0.00679.
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Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; and July 12, $87.60.
How much will she owe the bank after July 12?
If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.
What is total obligation?Total obligation can be defined as the amount a person owe another person or the debt amount a borrower is expected to payback to a lender.
Balance $1,400
July 9 check ($1,380.15)
Balance $19.85
July 10 check ($765.67)
($670 + $95.67)
Balance -$745.82 (Overdraft)
Now let find the amount she owe
Balance -$745.82
July 11 check $130
Balance -$875.82
July 12 check $87.60
Ending balance -$963.42
Overdraft fee $108
($27 ×4)
Total obligation -$1,071.42
Therefore her total obligation is $1,071.42.
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What is the nineteenth term in the sequence 7, 10, 13, 16, …?
Answer:
61
Step-by-step explanation:
hope this helps
1. Melissa took out a loan of $50,000 with an interest rate of 2.3% for the start-up of the Math Cafe. How much will she owe the bank if the loan term is for five years? Explain how you got your answer.
Answer:
$55,750 a
Step-by-step explanation:
Given Principal P = $50,000
Rate R = 2.3%
Time T = 5 years
Get the interest first
Simple interest = PRT/100
Simple interest = 50,000*2.3*5/100
Simple interest = 500*2.3*5
Simple interest = $5,750
Amount = Principal + Interest
Amount = $50,000 + $5,750
Amount = $55,750
Hence she will owe the bank $55,750 after 5 years