Answer:
23370 students live with in 500 miles of the university.
Step-by-step explanation:
large university students =24000
selected students = 750
surveyed students =120 lives far away from university.
students live with in 500mile=?
750-120=630
24000-630=23370
divide 5 by 6 and 5/6 into a repeating decimal
_
Answer: 0.83
Step-by-step explanation:
5/6 = 0.8333...
_
0.8333... = 0.83
The price of a product is reduced by 30%. By what percentage should be increased to make it 100%?
it should be 70 percent
Step-by-step explanation:
100 subtract by 30 is 70 percent
Jon rented a car a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 400 miles and was charged $210. His friend Amanda later rented the same car for 7 days and drove 360 miles and was charged $229. What was the daily rental charge? How much did the company charge per mile?
pls help
heather had some candy to give to her five children. she first took eight pieces for herself and then evenly divided the rest amount her children. each child received four pieces. with how many pieces did she start?
Answer: She started with 28 pieces of candy.
Step-by-step explanation: In the beginning of the question it says that heather took 8 pieces. Then she divided the rest evenly amongst her 5 kids. Each received 4, so that make the equation 8+(5x4) which gives us 8+(20). Or 8+20 which is 28.
Answer:
She started with 28 candies.
Explanation:
Let the total amount of candies be c
Build equation:
heather took out 8 candies for herself→ remaining: c - 8
then divided the remaining candies to her five children→ each gets: (c - 8)/5
Here given each gets 4 candies
So,
(c - 8)/5 = 4
c - 8 = 5(4)
c - 8 = 20
c = 20 + 8
c = 28
Pls answer before 8:00 pm
Answer:225 jeans.
Step-by-step explanation: What we need to do here is convert the number of jeans to a percentage. There were 25 jeans when 50 customers were surveyed and 25 is half of 50 or 50%. This means that if 450 pairs of pants are ordered half of them should be jeans. 450/2 = 225.
At Indianapolis Motor Speedway, one lap is 2.5 miles in length. The average speed of an Indy racing car is 190 miles per hour.
15. Find the length of one lap in yards.
16. How many seconds would it take to complete one lap?
Answer:
15. 4400 yards
16. 47.4 seconds
Step-by-step explanation:
15. 1 mile = 1760 yards
2.5 miles:
2.5(1760) = 4400 yards
16. t = 2.5/190 = 0.013150 h
1 hour = (60)(60) = 3600 seconds
Then 1 lap take
=(0.013150)(3600) = 47.4 seconds
Hope this helps
What is 57, 020, 000 expressed in scientific notation
Answer:
we write in form of (a x 10^n)
5.702 x 10⁷
Answer:
5.702 x 10^7
Step-by-step explanation:
In scientific notation, a number in the ones place is raised to a power of 10: the power will be positive if the original number is huge, and negative if the original number is small.
The number 57,020,000 is a huge number. We simply move the decimal 7 places to the left to get 5.072, and since we moved the decimal 7 places, 10 is raised to the power of 7.
Brainliest, please :) Hope this helps!
The average telephone bill in a locality is $70, with a standard deviation of $40. In a sample of 50 randomly selected phone connections, what is the probability that the sample average will exceed $75?
Using the normal distribution, there is a 0.1894 = 18.94% probability that the sample average will exceed $75.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 70, \sigma = 40, n = 50, s = \frac{40}{\sqrt{50}} = 5.66[/tex]
The probability that the sample average will exceed $75 is one subtracted by the p-value of Z when X = 75, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (75 - 70)/5.66
Z = 0.88
Z = 0.88 has a p-value of 0.8106.
1 - 0.8106 = 0.1894.
0.1894 = 18.94% probability that the sample average will exceed $75.
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What is the rise and the run please help
Answer:
-1
Step-by-step explanation:
Rise=2
Run=-2
2/-2=
-1
cd+(-6c)=150 when d=4
Answer:
c = -75
Step-by-step explanation:
cd + (-6c) = 150
d = 4
c(4) + (-6c) = 150
4c - 6c = 150
-2c = 150
c = -75
PQR has the vertical P(0,4), Q(4,5), and R(4,1). Determine if PQR is the right triangle.
Answer:
no
Step-by-step explanation:
no it is not a right triangle
two angles share the same x but no angles share the same y
you can see this clearly when graphed
the answer is no
Attached as photo. Please help
By Euler's method the numerical approximate solution of the definite integral is 4.189 648.
How to estimate a definite integral by numerical methodsIn this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a) (1)
The steps of Euler's method are summarized below:
Define the function seen in the statement by the label f(x₀, y₀).Determine the different variables by the following formulas:The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the numerical approximate solution of the definite integral is 4.189 648.
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8 -2 5\8 how do I solve this. Can u show me the steps
Answer:
= 5.375
Step-by-step explanation:
Use the algorithm method.
7 9 9 10
8 . 0 0 0
- 2 . 6 2 5
5 . 3 7 5
= 5.375
Answer:
5 3/8
Step-by-step explanation:
change it so that every number is a improper fraction and same denominator
64/8 - 21/8 = 43/8 = 5 3/8
7. Find (f•g)(x) for the pair of functions.
f(x)=x+1
g(x) = 4x - 11
(f•g)(x) =
Answer:
(f•g)(x) = 4x² -7x -11
Step-by-step explanation:
The product of the two functions is the product of their respective definitions.
(f•g)(x)(f•g)(x) = f(x)•g(x) = (x+1)•(4x -11)
= x(4x -11) +1(4x -11) . . . . . use the distributive property
= 4x² -11x +4x -11 . . . . . . . and again
(f•g)(x) = 4x² -7x -11 . . . . . collect terms
PLEASE I NEED THIS FAST there are 3 denominations of bills in a wallet: $1, $5, and $10. there are 5 fewer $5-bills than $1-bills there are half as many $10-bills if there is $115 altogether, find the number of each type of bill in the wallet
The count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
In the question, we are given that there are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills.
We are asked to find the count of each denomination, given there was altogether $115 in the bag.
We assume the number of $1-bills in the bag to be x.
Total amount in x bills of $1 = x * $1 = $x.
Given that there are 5 fewer $5-bills than $1-bills in the bag, number of $5-bills in the bag = x - 5.
Total amount in (x - 5) bills of $5 = (x - 5) * $5 = $5(x - 5).
Given that there are half as many $10-bills as $5-bills in the bag, number of $10-bills in the bag = (x - 5)/2.
Total amount in (x - 5)/2 bills of $10 = (x - 5)/2 * $10 = $5(x - 5).
Thus, the total amount in the bag = $x + $5(x - 5) + $5(x - 5).
But, the total amount in the bag = $115.
Thus, we get an equation:
$x + $5(x - 5) + $5(x - 5) = $115,
or, x + 5x - 25 + 5x - 25 = 115,
or, 11x = 115 + 50,
or, 11x = 165,
or, x = 165/11,
or, x = 15.
Thus, number of $1-bills = x = 15.
The number of $5-bills = x - 5 = 15 - 5 = 10.
The number of $10-bills = (x - 5)/2 = (15 - 5)/2 = 10/2 = 5.
Thus, the count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
The provided question is incomplete. The complete question is:
There are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills. If there is $115 altogether, find the number of each type of bill in the wallet."
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In 1965, about 44% of the U.S. adult population had never smoked cigarettes. A national health survey of 1360 U.S. adults (selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using α = 0.05, test whether there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes. State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
Using the z-distribution, it is found that since the p-value is greater than 0.05, there is not enough evidence to conclude that there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is still of 44%, that is:
[tex]H_0: p = 0.44[/tex]
At the alternative hypothesis, it is tested if the proportion is now different of 44%, that is:
[tex]H_1: p \neq 0.44[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]p = 0.44, n = 1360, \overline{p} = \frac{626}{1360} = 0.4603[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4603 - 0.44}{\sqrt{\frac{0.44(0.56)}{1360}}}[/tex]
z = 1.51
What is the p-value and the conclusion?Using a z-distribution calculator, for a two-tailed test, as we are testing if the proportion is different of a value, with z = 1.51, the p-value is of 0.1310.
Since the p-value is greater than 0.05, there is not enough evidence to conclude that there has been a change since 1965 in the proportion of U.S. adults that have never smoked cigarettes.
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What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3?
A.–6
B.–5
C.5
D.7
The y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C
How to determine the coordinatesLet's the point that divides the line segment as point S.
We have that,
Point S divides the line segment into ratio 2:3
The ratio 2:3 means that we are to divide the line segment into;
= 2+3
= 5 equal parts.
We then have that the horizontal distance between the two coordinates is 5
The vertical distance between the two coordinates is 10
Now, let's divide both vertical and horizontal distance into five equal parts,
Horizontal distance = 5/5 = 1
Vertical distance = 10/ 5 = 2
The horizontal distance is 1
The vertical distance is 2
For every one unit move to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.
The coordinate of point S that divides the line segment into 2 parts and 3 parts is (-5,5)
Thus, the y- coordinate that divides the directed line segment from J to K into a ratio of 2:3 is 5. Option C
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sinx + siny=a
cosx + cosy=b
Find cos(x+y/2)
Using the addition rule of the Sine function and the Cosine function, we obtain [tex]\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex].
What are the formulas for (sin x + sin y) and (cos x + cos y)?The formula for the addition of two Sine functions ([tex]\sin x+\sin y[/tex]) is [tex]\sin x + \sin y = 2\sin\frac{x+y}{2}\cos\frac{x-y}{2}[/tex].The formula for the addition of two Cosine functions ([tex]\cos x+\cos y[/tex]) is [tex]\cos x + \cos y = 2\cos\frac{x+y}{2}\cos\frac{x-y}{2}[/tex].Given that
[tex]\sin x + \sin y = a\\\cos x + \cos y = b[/tex]
Then using the above formulas, we get:
[tex]2\sin\frac{x+y}{2}\cos\frac{x-y}{2}=a[/tex] (1)
[tex]2\cos\frac{x+y}{2}\cos\frac{x-y}{2}=b[/tex] (2)
Dividing the equation (1) by (2), we get:
[tex]\dfrac{\sin\dfrac{x+y}{2}}{\cos\frac{x-y}{2}}=\dfrac{a}{b}\\\Longrightarrow \tan\dfrac{x+y}{2}=\dfrac{a}{b}[/tex] (3)
Now, we know that [tex]\cos\theta=\dfrac{1}{\sqrt{1+\tan^2\theta}}[/tex].
Thus, using the above formula, we get from (3):
[tex]\cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\tan^2\dfrac{x+y}{2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{1}{\sqrt{1+\dfrac{a^2}{b^2}}}\\\Longrightarrow \cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex]
Therefore, using the addition rule of the Sine function and the Cosine function, we obtain [tex]\cos\dfrac{x+y}{2}=\dfrac{b}{\sqrt{a^2+b^2}}[/tex].
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Cody earned 600 from delivering groceries last year. He deposited this money in an account that pays an interest rate of 2% compounded annually. What will be his balance after 20 years. pls answer asap
The balance that Cody earned after 20 years is 891.57. Using the compound interest formula, the required value is calculated.
How to calculate the compound interest?The compound interest is calculated by
[tex]A = P(1 + \frac{r}{n} )^n^t[/tex]
Where,
A - Total amount (Future value)
P - Principal amount (Initial value)
r - The rate of interest
n - Number of times compounded per 't'
t - Total number of years the money is invested
Calculation:It is given that,
P = 600
r = 2% = 0.02
t = 20 years
n = 1 (since the amount is compounded annually)
Then,
[tex]A=600(1+\frac{0.02}{1})^1^*^2^0[/tex]
= 600 (1 + 0.02)²⁰
= 600 (1.02)²⁰
= 891.57
Therefore, the balance after 20 years is 891.57.
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s−3(s+6)= ASAP I NEED ANSWER PLEASE
Answer: −2(
Answer:
Simplified: −2s − 18
Step-by-step explanation:
Simplify the expression.
What is the distance from (-5,2) and (0,4)?
Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
The distance between two points is given by
d = [tex]\sqrt{ ( x2 - x1) ^2 - ( y2-y1)^2}[/tex] where ( x1,y1) and ( x2,y2) are the two points
d = [tex]\sqrt{( 0 - -5) ^2 + (4 - 2) ^2}[/tex]
d = [tex]\sqrt{5^2 + 2^2}[/tex]
d = [tex]\sqrt{25 +4}[/tex]
d = [tex]\sqrt{29}[/tex]
Answer: [tex]\Large\boxed{Distance=\sqrt{29} }[/tex]
Step-by-step explanation:
Given information
[tex](x_1,~y_1)=(-5,~2)[/tex]
[tex](x_2,~y_2)=(0,~4)[/tex]
Given the distance formula
[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance =\sqrt{((0)-(-5))^2+((4)-(2))^2}[/tex]
Simplify values in the parenthesis
[tex]Distance =\sqrt{(0+5)^2+(4-2)^2}[/tex]
[tex]Distance =\sqrt{(5)^2+(2)^2}[/tex]
Simplify the exponents
[tex]Distance =\sqrt{25+4}[/tex]
Simplify values in the radical sign
[tex]\Large\boxed{Distance =\sqrt{29}\approx5.4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The sum of a number and seven is six less than four times the number. Write an algebraic equation and solve to find the number.
Answer:
13/3 or 4.333
Step-by-step explanation:
Let the number be x
the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x
Solve:
x+7+6 = 4x
x+13 = 4x
13 = 3x
x = 13/3
Perform the following mathematical operation, and report the answer tot he correct number of significant figures 0.396/0.5
Answer:
answer 0.8
Step-by-step explanation:
Solution
0.396 has 3 significant digits
0.5 has 1 significant digit.
Therefore the answer should be 1 significant digit.
0.396 / 0.5 = 0.792
Rounded to 1 sig dig, the answer = 0.8
I
. If the results of a probability experiment can be any integer from 16 to 18 and the
probability that the integer is less than 20 is 0.88, what is the probability that the
integer be 20 or more?
Using the probability concept, considering complementary probabilities, there is a 0.12 = 12% probability that the integer is of 20 or more.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
If two events are complementary, the sum of their probabilities is of 1. In this problem, we have that an integer being less than 20 is complementary to an integer being 20 or more.
We have that:
There is a 0.88 probability that the number is less than 20.There is a x probability that the number is 20 or more.These events are complementary, hence:
0.88 + x = 1
x = 1 - 0.88
x = 0.12
There is a 0.12 = 12% probability that the integer is of 20 or more.
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find the square roots by division method of
210,681
Answer: square of 459 is 210681
i need help w this pls
Answer: C
Step-by-step explanation: The y-intercept is 1/5 since the point on the y-axis is (0, 1/5). The slope is 2/3 because the other coordinate is up 2 and right 3 from (0, 1/5) *remember rise over run*. The shading means that the answer (y) must be less than or equal to 2/3x + 1/5, hence it being underneath the line.
Composition of two functions:Basic
The functions, q(x) and r(x) are defined as 2•x + 1, and -5•x - 3, respectively, therefore;
[tex] \: (q \: \circ \: r) (1)= - 15[/tex]
[tex] \: (r \: \circ \: q) (1)= -18[/tex]
Which method can be used to evaluate the given composite functions?The given functions are;
q(x) = 2•x + 1
r(x) = -5•x - 3
The evaluation of the composite functions can be presented as follows;
[tex](q \: \circ \: r) (x)= q(r(x))[/tex]
Therefore;
[tex](q \: \circ \: r) (1)= q(r(1))[/tex]
r(1) = -5×1 - 3 = -8Which gives;
[tex](q \: \circ \: r) (1)= q( - 8)[/tex]
q(-8) = 2×(-8) + 1 = -15
Therefore;
[tex](q \: \circ \: r) (1)= - 15[/tex]
Similarly, we have;
[tex](r \: \circ \: q) (1)= r(q(1))[/tex]
q(1) = 2×1 + 1 = 3
r(3) = -5×3 - 3 = -18
Which gives;
[tex](r \: \circ \: q) (1)= -18[/tex]
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Cos3A ×cos2A =cos A ×cos 2A -sin4A×sin A=prove it
Answer:
Step-by-step explanation:
cosA×cos 2A-sin4A×sinA
=cosAcos2A-2sin2Acos2A sin A
=cos 2A(cosA-2sin2AsinA)
=cos 2A(cosA-2×2sinAcosAsin A)
=cos2A×cosA(1-4sin²A)
=cos 2AcosA(1-4(1-cos²A))
=cos2A×cosA(1-4+4cos²A)
=cos 2A(-3cosA+4cos³A)
=cos 2A(4cos³A-3cosA)
=cos 2A×cos3A
Question 2 of 25
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
A. 0.26
B. 0.24
C. 0.28
D. 0.25
SUBMIT
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
How to estimate the sample proportion?We know that the confidence interval for sample proportion exists estimated as;
90% confidence interval = Sample proportion Margin of Error
Here, let [tex]$\hat{p}[/tex] = sample proportion
Level of significance = 1 - 0.90 = 0.[tex]$(0.22,0.28)=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]10 or 10% Critical value of z at 5% (two-sided) level of significance exists 1.645.
So, 90% confidence interval [tex]$=\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots(1)$[/tex]
[tex]$0.28=\hat{p}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \ldots (2)[/tex]
From (1) and (2) , we get;
[tex]$&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\[/tex]
Simplifying the equation, we get
[tex]$&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22 \\[/tex]
[tex]$&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06 \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645} \\[/tex]
[tex]$&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.02[/tex]
Now, squaring both sides, we get;
[tex]$\frac{\hat{p}(1-\hat{p})}{n}=0.0004 \\[/tex]
[tex]$n=\frac{\hat{p}(1-\hat{p})}{0.0004}[/tex]
Now, putting value of n in (1), we get;
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$[/tex]
[tex]$0.22=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{\hat{p}(1-\hat{p})} \times 0.0004}$[/tex]
Simplifying the equation, we get
[tex]$0.22=\hat{p}-1.645 \times \sqrt{0.0004}$[/tex]
[tex]$0.22=\hat{p}-(1.645 \times 0.02)$[/tex]
[tex]$0.22=\hat{p}-0.033$[/tex]
[tex]$\hat{p}=0.22+0.033=0.253$[/tex].
The sample proportion [tex]$\hat{p}=0.22+0.033=0.253$[/tex].
Therefore, the correct answer is option D. 0.25.
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A tap discharges 30 litres of water in 2 minutes. How many minutes will it take for a container with a capacity of 80 litres to be completely filled?
this is a rate question. please dont use algebra! thanks
Answer:
5.3333333 or 5 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
30 divided by 2 equals 15.
80 divided by 15 equals 5.3333333 or 5 [tex]\frac{1}{3}[/tex].
