Answer: C
Based on the information given, one might conclude that the population mean is probably greater than 85 minutes. So, the correct answer would be C. The population mean is probably greater than 85 minutes.
Answer:
C. Has to be greater than 85
Step-by-step explanation:
Two forces F1 and F2 are given by the vectors F, = (pi + 5j N and F, = (3i + qj) N. The resultant force,
R = F, + F2 acts in a direction which is parallel to the vector 2i - 5j.
a Find the angle, to 2 decimal places, between R and the vector 2i.
b Show that 5p + 2g = -25.
c Given that p = -3, find, to 2 decimal places, the magnitude of R.
Answer:
a) Find the angle, to 2 decimal places, between R and the vector 2i.
Step-by-step explanation:
Two forces, F1 and F2 are given by the vectors F1=(4i-5j)N and F2=(pi-qj)N. The resultant force, R=F1+F2 acts in the direction which is parallel to the vector (3i-j)
The weights of four similar packs of tomatoes are listed below.
Pack A: 2.456 pounds
Pack B: 2.457 pounds
Pack C: 2.454 pounds
Pack D: 2.459 pounds
Malcolm rounds the weights to the nearest hundredth pound. Which weight does
not round to 2.46 pounds?
A 2.456 pounds
B 2.457 pounds
C 2.454 pounds
D 2.459 pounds
Answer:
The weight that does not round to 2.46 pounds is C 2.454 pounds.
Step-by-step explanation:
Based on the given information, the weights of the four similar packs of tomatoes are as follows:
Pack A: 2.456 poundsPack B: 2.457 poundsPack C: 2.454 poundsPack D: 2.459 poundsMalcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:
Pack A: 2.46 poundsPack B: 2.46 poundsPack C: 2.45 poundsPack D: 2.46 poundsFrom the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.
Paula drives 130 miles in 2.5 hours. How far would she drive in 4.5 at the same speed?
*Please answer
I will award the Brainliest answer
Answer:
Paula will travel 234 miles in 4.5 hours
Step-by-step explanation:
Step 1: We first find the speed Paula is going in hours, we divide 130 mile by 2.5 hours to get 52 miles per hour
Step 2: We multiple 52 miles per hour with 4.5 hours to get 234 miles
Therefore Paula will travel 234 miles in 4.5 hours
The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.
Answer:
the rise is 6 and the run is 7. the rate of leaking per minunte is about .8 gallons per minute
Step-by-step explanation:
i think its right this time
3. The fuel economy of a car, measured in miles per gallon, is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour. What's the fuel economy of the car when it
travels at an average of 20 miles an hour?
O A. 20 miles per gallon
O B. 26.63 miles per gallon
4
O C.-10.02 miles per gallon"
O D. 22.38 miles per gallon
O Mark for review (Will be highlighted on the review page)
Answer:
The Answer Will Be D
Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.
what is the value of m
The value of m<RQS as required to be determined in the task content is; 70°.
What is the value of m<RQS as required to be determined?It follows from the task content that the measure of angle RQS is to be determined as required.
Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.
Therefore, m<RPS = 2 • m<RQS.
m<RQS = 140°/2
m<RQS = 70°.
Ultimately, the measure of angle RQS are; 70°.
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Rectangle dimensions: length = 12 in width = 9 in Diagonal length of rectangle = in
The diagonal length of the rectangle is 15 inches.
To find the diagonal length of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 12 inches and the width is given as 9 inches. Let's denote the diagonal length of the rectangle as "d".
According to the Pythagorean theorem, we have:
d^2 = \(length^2 + width^2\)
Substituting the given values, we get:
\(d^2 = 12^2 + 9^2\)
\(d^2 = 144 + 81d^2 = 225\)
Taking the square root of both sides, we have:
d = √225
d = 15
Therefore, the diagonal length of the rectangle is 15 inches.
It's important to note that the Pythagorean theorem applies specifically to right-angled triangles, where one angle is 90 degrees. In the case of a rectangle, the diagonal forms two right-angled triangles with the sides of the rectangle. By applying the Pythagorean theorem, we can find the length of the diagonal.
In this particular example, the length of the diagonal is 15 inches, which is the square root of 225.
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what is the answer to 3x = 6
Answer:
2
Step-by-step explanation:
3x=6
same thing as 3*x=6
3*2=6
x=2
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
Six students need to raise $2050 for a trip. They have a starting balance of $58.
The equation below shows the amount of money (m) each student would need to
contribute if the remaining balance were divided equally among the students.
58+6m-2050
Which graph is closest to showing the actual dollar amount each
student should contribute?
Answer:
Money divided: $332
Correct graph: Graph 2
Step-by-step explanation:
First we know that the total amount raised is $2050 and that the starting balance is $58
So we can make a expression saying 6m + 58 = 2050
2050-58 = 1992
so we know that 6m = $1992
to work out m, we divide 1992 by 6.
1992/6=m=$332
Graph 2 is the correct graph as Graph 1 shows $290, Graph 3 shows $340 and Graph 4 shows $370 and we want to be as close to the original amount which is $332.
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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no link help help help
Step-by-step explanation:
1 / 9 is the correct answer
Answer:
The answer is 1/9
Step-by-step explanation:
Hope it helps.
Simplify as far as possible. 2√125−3√80
Exact form: --2√5
Decimal Form: 4.47213595
Step-by-step explanation:
The final simplification of the given expression of 2√125−3√80 in a radical form is -2√5.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
Given the expression,
2√125−3√80
⇒ 2√(25 × 5) - 3√(16 × 5)
⇒ 2√(5²×5) - 3√(4²×5)
⇒ 2×5√5 - 3×4√5
⇒ 10√5 - 12√5
⇒ -2√5
Hence "The final simplification of the given expression of 2√125−3√80 in a radical form is -2√5".
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which expression is equivalent to 24 + 30?
Answer: ayo there sum called expression calculator look it up
Step-by-step explanation:
Write a formula that describes the value of an initial investment of $4000 that loses value at a rate of 10% per year, compounded six times per year.
since the investment is losing 10%, let's plug that in the compound interest equation but with a negative rate of 10%.
\(~~~~~~ \underset{\textit{with a negatie rate}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1~~ - ~~\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{six times} \end{array}\dotfill &6\\ t=years\dotfill &t \end{cases}\)
\(A=4000\left(1~~ - ~~\frac{0.10}{6}\right)^{6\cdot t}\implies A=4000\left( \frac{59}{60} \right)^{6t}\)
Patrick had earned 125 points so far this year in math class. After the most recent assignment, Patrick now has 328 points. What was the percentage increase in points? Round your answer to the nearest
Answer: 162%.
Step-by-step explanation:
To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.
The difference between Patrick's old score and his new score is:
328 - 125 = 203
The percentage increase is:
203/125 x 100% = 162.4%
Rounded to the nearest whole number, the percentage increase is 162%.
In ΔDEF, e = 1.4 cm, f = 9.1 cm and ∠D=109°. Find the area of ΔDEF, to the nearest 10th of a square centimeter.
Answer:
6.0 cm²
Step-by-step explanation:
You want the area of ∆DEF with sides e=1.4 cm, f=9.1 cm, and angle D=109°.
AreaThe area of the triangle is given by the formula ...
A = 1/2ef·sin(D)
A = 1/2(1.4 cm)(9.1 cm)sin(109°) ≈ 6.37·0.94552 cm² ≈ 6.023 cm²
The area of triangle DEF is about 6.0 square centimeters.
What is true of a sequence of transformations that rotates an image and then translates it in order to map it onto another image? Select all that apply.
Includes exactly two rigid transformations.
The true statement about the sequence of transformations is it includes exactly two rigid transformations.
How to determine the true statement?The transformation statement is given as:
a sequence of transformations that rotates an image and then translates it in order to map it onto another image
This can be split as follows:
A sequence of transformations that rotates an image Then translates it in order to map it onto another imageTranslation and rotation are rigid transformations
This means that the size and the angle of the shape that is transformed will remain the same
Hence, the true statement about the sequence of transformations is it includes exactly two rigid transformations.
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En el cine, el precio de admisión de un niño es de 6 dólares y de un adulto es de 9,20 dólares . El sábado se vendieron 146 boletos de admisión para un total de ventas de 1135,20 dólares . ¿Cuántos boletos de admisión de niños se vendieron ese día?
Answer:
65 boletos.
Step-by-step explanation:
Antes de resolverSabemos que el precio para un niño es 6 dólares, y el precio para un adulto es 9,20 dólares. Además, el cine se vendió 146 boletos, y recibió 1135,20 dólares.
El procesoVamos a resolver este problema con un sistema, usando 2 varibles.
No sabemos cuantos boletos de niño el cine vendió, entonces el cine vendió <<x>> boletos de niños. Tampoco sabemos cuantos boletos de adultos vendió, entonces vendió <<y>> boletos de adultos.
En total, vendió 146 boletos; el número de los boletos de niños con el número de los boletos de adultos es 146 boletos.
Usando las variables, x + y = 146 boletos.
Esta es una de las equaciones que necesitamos.
Porque todos los boletos de niños es 6 dólares, si el cine vendió <<x>> boletos, su total de ventas (de boletos de niños) es <<6x>> dólares.
Lo mismo es verdad para los boletos de adultos; todos los boletos de adultos es 9,20 dólares, entonces si vendió <<y>> boletos, el total de ventas de boletos de adultos es <<9,20y>> dólares.
En total, las ventas de los boletos de niños + las ventas de los boletos de adultos es 1135,20 dólares.
O, con variables, es 6x + 9,20y = 1135,20
Nuestra sistema es:
x + y = 146
6x + 9,20y = 1135,20
Ahora necesitamos resolver esta sistema.
Podemos usar la sustitución. Vamos a resolver una de las eqaciones para una variable, y después, usar el valor de esa variable para encontrar la solución para una de las variables, y después, usar esa solución para encontrar la solución de la otra variable.
Podemos mover <<y>> al otro lado.
x + y = 146 => x = 146 - y
Ahora, podemos sustituir <<x>> para 146 - y en 6x + 9,20y = 1135,20
6(146-y) + 9,20y = 1135,20
Multiplica.
876 - 6y + 9,20y = 1135,20
Combina los términos que son los mismos.
876 + 3,20y = 1135,20
Mueva 876 al otro lado.
876 + 3,20y = 1135,20 => 3,20y = 259,20
Divide todo por 3,20.
3,20y/ 3,20 = 259,20/ 3,20
y = 81
Entonces, el cine vendió 81 boletos de adultos.
La respuestaRecuerda, esta (81 boletos de adultos) no es lo que necesitamos. Necesitamos cuantos boletos de niños vendió.
Entonces, podemos substituir <<y>> con 81 en x = 146 - y. Recuerda que <<x>> es cuantos boletos de niños vendió.
x = 146 - y => x = 146 - 81 => 65
Entonces, el cine vendió 65 boletos de niños.
A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of 444 points. What proportion of exam scores are between 828282 and 85.685.685, point, 6 points? You may round your answer to four decimal places.
Answer:
0.2379
lmk if im wrong :)
Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
Let's calculate the z-scores:
For x = 82.2:
z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5
For x = 85.6:
z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35
Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.
From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.
Now, we can find the proportion of scores between these two z-scores:
Proportion = P(0.5 ≤ z ≤ 1.35)
= P(z ≤ 1.35) - P(z ≤ 0.5)
= 0.9115 - 0.6915
≈ 0.2200
So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
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How many yards are in 108 inches?
Answer:
3 yards
Step-by-step explanation:
Divide inches by 36
\(108/36\\=3yards\)
Answer:
\(3 \: \: yards\)
Step-by-step explanation:
\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)
So,
\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)
hope this helps
brainliest appreciated
good luck! have a nice day!
A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet
Answer:
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
A recent study of 750 Internet users in Europe found that 35% of Internet users were women.
This means that \(n = 750, \pi = 0.35\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841\)
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
7. You choose a marble at random from a
bag containing 2 red marbles, 4 blue
marbles and 3 yellow marbles. You
REPLACE the marble and then pick a
second marble. What is the probability that
you will pick a red marble then a yellow
marble? (1 point)
+
If there nine marbles total and only two red and three yellow marbles, then for the chance of red marbles would be 2/9 and the chance for yellow marbles would be 3/9. so if you add that up you should get 5/9 so your chance of picking a red and than a yellow marble would 5/9, hope this helps, plz mark brainliest nobody ever has before
0||-barb-||0
plz help with
this problem!!!
Answer:
opposite side are congruent
opposite sides are parallel
opposite sides are congruent
diagonals are perpendicular
Step-by-step explanation:
How does water change its state as snow, hail, and sleet melt in the runoff part of the water cycle?
From gas to liquid
From liquid to solid
From solid to liquid
From solid to gas
Answer:
from a solid to a liquid
Step-by-step explanation:
The Invisible Gorilla experiment was repeated numerous times. In one experiment, 16 students watching the video, only 5 noticed the gorilla. Calculate p'.
Answer:
p = 0.3125
Step-by-step explanation:
given data
watching the video = 16 students
noticed the gorilla = 5
to find out
Calculate p
solution
so we get here proportion p that is express as
p = noticed the gorilla ÷ watching the video .....................1
put here value and we get
p = \(\frac{5}{16}\)
p = 0.3125
A sample of 1600 computer chips revealed that 43% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 41% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Find the value of the test statistic. Round your answer to two decimal places.
Answer: The value of the test statistic is z= 1.63 .
Step-by-step explanation:
Test statistic for proportion :
\(z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\)
, where p =population proportion.
\(\hat{p}\) = sample proportion
n= sample size.
Let p be the proportion of chips do not fail in the first 1000 hours of their use.
As per given, we have
\(p=0.41\\ n= 1600\\\hat{p}=0.43\)
Then, required test statistic would be
\(z=\dfrac{0.43-0.41}{\sqrt{\dfrac{0.41(1-0.41)}{1600}}}\\\\=\dfrac{0.02}{\sqrt{0.0001511875}}\\\\\approx\dfrac{0.02}{0.0123}\approx1.63\)
Hence, the value of the test statistic is z= 1.63 .
The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $143.311 and standard deviation of $3.9988 Approximately 38.34% of days IBM had a stock price greater than what dollar amount
Answer:
Greater than $144.49.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of $143.311 and standard deviation of $3.9988.
This means that \(\mu = 143.311, \sigma = 3.9988\).
Approximately 38.34% of days IBM had a stock price greater than what dollar amount?
Greater than X when Z has a p-value of 1 - 0.3834 = 0.6166, so X when Z = 0.295.
\(Z = \frac{X - \mu}{\sigma}\)
\(0.295 = \frac{X - 143.311}{3.9988}\)
\(X - 143.311 = 0.295*3.9988\)
\(X = 144.49\)
Greater than $144.49.
A sociologist is analyzing Social Security data. The number of individuals in the sample is 5. The probability that an individual receives Social Security is 20%. What is the probability that exactly 3 of the 5 individuals receive Social Security? 0.0512 0.0305 0.6125 0.1024
Answer:
0.0512
Step-by-step explanation:
For each individual, there are only two possible outomes. Either he receives Social Security, or he does not. The probability of an individual receiving Social Security is independent of other individuals. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
The number of individuals in the sample is 5.
This means that \(n = 5\)
The probability that an individual receives Social Security is 20%.
This means that \(p = 0.2\)
What is the probability that exactly 3 of the 5 individuals receive Social Security?
This is P(X = 3).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 3) = C_{5,3}.(0.2)^{3}.(0.8)^{2} = 0.0512\)
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Some of the animals that you can ride on the jungle carousel are lions, tigers,
and elephants. How many more lions than elephants are there on the
carousel?
A. The elephants move faster than the lions.
O B. There are six lions on the carousel.
o C. The two elephants don't go up and down.
O D. The lions are always beside the tigers.