the required standard error is 6.9 for the sampling distribution.
The standard error of the sampling distribution is given by the formula SE = sqrt( (SD1² / n1) + (SD2² / n2) )
As per the question, we are given that samples of size 51 are drawn from population A with a standard deviation of 5.49, and samples of size 76 are drawn from population B with a standard deviation of 5.06.
Substituting these values into the formula, we get:
SE = √( (5.49² / 51) + (5.06² / 76) )
SE = √( (30.11) + (17.93) )
SE = √(48.04)
SE = 6.9
Therefore, the required standard error is 6.9 for the sampling distribution.
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The height of the cylinder is 25 inches and the radius of its base is 5 inches. What is the surface area of this cylinder, in terms of n (pie) PLS LOOK AT THE PHOTO AND HELP ME OUR, I’M GETTING TIMED
ok you need formula for surface area.
SA = πrh+2πr^2
Plug in 25 and 5
SA = 2π(5)(25)+2π(5)^2
SA = 10pi*25 + 2pi(25)
SA = 250pi + 50pi
SA = 300pi
Hope this helps :)
Jeron
Triangle A and Triangle B are right triangles.
Triangle A has a height of 8 meters and a base of 6 meters.
Triangle B has a height that is one unit greater than triangle A and a base that is one unit less.
Part A
What is the measure of the hypotenuse of triangle A? Show your work.
Part B
Determine if the hypotenuse of triangle B has the same hypotenuse as triangle A. Justify your solution.
Determinați cel mai mare divizor comun al următoarele numere : 24,60,72,84
Answer:
12
Step-by-step explanation:
24 = 2³ × 3
60 = 2² × 3 × 5
72 = 2³ × 3²
84 = 2² × 3 × 7
cel mai mare divizor comun = 2² × 3 = 12
which expression is equivalent to (3/2)^-4
Answer:18/61 0r decimal form 0.20
Step-by-step explanation:
Claire said 4/3 /5/2 is 10/3. She reasoned 4/3 *5 = 20/3 and 20/3 / 2= 10/3
Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.
To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.
This gives us (4/3) ÷ (5/2) = 8/15.
Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.
Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.
Therefore, the correct quotient is 8/15, not 10/3.
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What are all of the real solutions of f(x)=0
7+2x/3=5 need help aspa
Answer:
x = –3
Step-by-step explanation:
7 + 2x/3 = 5
2x/3 = 5 – 7
2x/3 = –2
multiply both sides by 3
2x = –6
divide both sides by 2
x = –6/2
x = –3
please rate as brainliest i need to move to the next rank
Is 2x^x a power function? Explain why or why not.
[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.
What is Power function?A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.
In the given function the variable x as power x which is variable.
The variable exponent should be constant.
When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.
Hence, [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.
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The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90%
pure fruit juice. The company is attempting to produce a fruit drink that contains 45% pure fruit juice. How many pints of each
of the two existing types of drink must be used to make 170 pints of a mixture that is 45% pure fruit juice?
Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.
Step-by-step explanation:
We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:
x + y = 170 (1)
0.4x + 0.9y = 0.45 * 170 (2)
We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:
0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y
0.5x = 0.45 * 170 - 0.9y
x = (0.45 * 170 - 0.9y) / 0.5
We can substitute this expression for x into equation (1) and solve for y:
y = 170 - x
y = 170 - (0.45 * 170 - 0.9y) / 0.5
2.2y = 170 - 0.45 * 170
y = (170 - 0.45 * 170) / 2.2
y = 85 / 2.2
We can then substitute this value for y back into equation (1) to solve for x:
x = 170 - y
x = 170 - (85 / 2.2)
x = 170 - 38.63636
x = 131.36363
Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.
select all the expressions that are equal to the product of 14 and 9
Answer:
Step-by-step explanation:
126
It is the vector physical quantity that measures the intensity of the interaction between two or more objects.
The vectorial physical quantity that measures the intensity of the interaction between two or more objects is called force.
¿What is force?The force is a vector quantity, it is completely defined with:
A numeric valueOne directionA senseA unitIn physics, it is established that physics is any factor capable of generating a deformation or change of state, in the movement, of a body. From Newton's second law, a force can be calculated as:
F = m aWhere:
F = forceM = mass A = accelerationForce is the vector quantity with which we can express, for example, the intensity of interaction between two or more bodies.
¡Hope this helped!
Annie bought 149 5-oz bags of peanuts.
What's the total weight of the peanuts in pounds? Round answer to the hundredths place.
PLEASE HELP!
Answer:
46.5625 lbsStep-by-step explanation:
First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS
Second:
1lb=16oz
5oz≈1/3lb
149×5=745 ((I have no idea where this is going))
745oz=46.5625 ((You can do the rounding my head hurts.))
the sum of a number (n) and 23 is 33. which equation shows this relationship?
n+23=33 - This equation shows this relationship.
Let, one number be = n
another number is =23
The sum of two numbers is = 33
The sum is the result of adding two or more numbers in mathematics. It is an essential and valuable concept in mathematics. The numbers which are to be added are called addends.
In short, some can be defined as a way by which all things can be put together. We can show an equation of a sum horizontally or vertically.
Horizontal Addition :
59+37=96
Vertical addition:
59
+37
= 96
Therefore, the equation is: n+23 =33
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5 to the power of 2 plus 0.7 to the power of 2
Answer: 25.49
Because the internet has a good calculator
Graph the function. Identify whether or not the graph is a function
Answer:
No
Step-by-step explanation:
Because a vertical line can intersect the curve more than once, the graph does not represent a function.
Solve for x
4 - (2x + 4) =
Please explain step by step on how I could get this answer!
Answer:
4
Step-by-step explanation:
2x4=8 8-4=4
What is the solution to the system of two equations shown?
{y=4x+16y=−2x−2
y=4x+16 y=-2x-2
The solution of the given system of equation is x = -3 and y = 4 respectively.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
The given system of equations is as,
y = 4x + 16 (1)
y = −2x − 2 (2)
In order to solve them, substitute equation (2) into (1) as follows,
4x + 16 = −2x − 2
=> 4x + 2x = -2 - 16
=> 6x = -18
=> x = -3
Then, y = -2 × -3 - 2 = 4
Hence, the solution of the given system of equation is x = -3 and y = 4.
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Help please me find the answer need help as soon as possible
∠COD=72°
what is angle?
When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolised by the character. The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.
Given:
Let, ∠AOB=a=42°
∠EOF=b=66°
∠AOF=c
∠COD=d
by angle sum property,
a+b+c=180°
42°+66°+c=180°
c=72°
c=d because alternate angles are same
therefore d=72°
hence proved.
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Find the exact value of cos ( 285 ∘ ) .
Answer:
[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]
Step-by-step explanation:
You have to use your calculator if you have one.
Mary has 26 coins. It equals $4.85 in dimes and quarters. How much of each kind of coin
does she have
Answer: 15 quarters, 10 dimes, and a penny
Step-by-step explanation: Hope it helps, please pick brainliest.
Answer:
15 quarters, 10 dimes, and a penny
A pizza with 3 toppings costs $12.45. A pizza with 7
toppings costs $17.05. What is the equation that
determines the cost of a pizza (c) based on the number
of toppings (t)?
Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?
Step-by-step explanation:
Paul and Chris work at a car shop. It takes Paul 30 minutes to change the tire, and
it takes Chris 30 minutes to change the tires. If they work at their own rates,
approximately how long would it take them to change the tires of one car.
a. 35 min
b. 10 min
c. 20 min
d. 15 min.
It will them 15 minutes to change the tire of one car which is option d.
What is inverse proportion?Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.
It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.
so the time taken one tire by the two men 30/2 = 15 minutes.
In conclusion it took the 2 men 15 minutes to change one tire
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NO LINKS!! Help me with the 2-Column Proof Part 6aa
Here is the two column proof:
Statement Reason
Diagram Given∠1 and ∠2 are linear pair Shown on the diagram∠1 and ∠2 are supplementary Linear pair postulate Provedwhat the dog doing ?
The dog is playing with his chew toy!
Answer:
Explanation
Step-by-step explanation:
In general, dogs can run 15-20 mph
humans can run 6-8 mph
You are significantly slower than the dog,
the fastest human is around 27 miles per hour, unfortunately, even if you were this fast
the fastest dog can run 40 miles per hour as an estimate
even house cats can run at 30 mph maximum if they really wanted,
You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).
Many members of a certain workforce died from cancer supposedly resulting from exposure to radioactive
fallout Suppose that among the 215 members of the workforce, 91 developed cancer. For that time period
and for the age of the cohort, the incidence of cancer was about 40%. Use the randomization procedure
and a 0.05 significance level to test the claim that the sample of this workforce is from a population in which
the rate of cancer is greater than 40%. The accompanying set of 500 sample proportions (rounded to four
decimal places) was obtained by resampling using technology as part of the randomization procedure; use
P-value=
(Round to three decimal places as needed.)
ample Get more help -
Clear all
Check answer
The p-value of the test hypothesis is given as follows:
0.2420.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:
[tex]H_0: p \leq 0.4[/tex]
At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
What are the test statistic and the p-value?The test statistic is given by the equation presented as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which the parameters are defined as follows:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The values of these parameters for this problem are given as follows:
[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]
Hence the test statistic is given as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]
z = 0.7.
Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:
0.2420.
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Four distributions, labeled (a), (b), (c), and (d) are represented below by their histograms. Each distribution is made of measurements. Without performing any calculations, order their respective means , , , and .
The ranking of the data-sets according to their respective means is given as follows:
[tex]\mu_C < \mu_D < \mu_B < \mu_A[/tex]
How to calculate the mean of a data-set?The mean of a data-set is calculated as the sum of the values of all the observations divided by the number of observations.
In this problem, all the distributions have the same number of observations, hence the means are ranked from the highest sum.
The squares give the number of times that each observation appears in the data-sets.
The smallest mean is the mean of data-set C, as it is the only one with three measures of eight, while the other data-sets have four measures of eight.
Then the greatest mean is of data-set A, as it is the only with an observation of 6, and then data-set B has a greater mean than data-set D, as it has an observation of five while data-set D has an observation of three.
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Two basketball players are trying to have the most
points per game for the season. The current leader has
2112 points in 77 games and the second place player
has 2020 in 74 games. How many points per game did
the leading team score?
Round to the nearest tenth
The leading team scored 27.43 points per game in basket ball game.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The points scored by current leader in 77 basket ball game = 2112,
And the points scored by second place player in 74 game = 2020.
The point scored by players in one match, use ratio property,
By current leader,
Points scored in 77 games = 2112
points scored in 1 game = 2112/77 = 27.43
By second place leader,
Points scored in 74 games = 2020,
Points scored in 1 game = 27.3
The leading team scored 27.43 points per game.
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(1,6) and (3,8) find the slope
Answer
1
Step-by-step explanation:
1
(y2-y1) / (x2-x1)
(rise over run)
(8-6) / (3-1)
2/2
1
What is the solution to this system of equations?
{3x-4y=-10
{4x+2y=-6
A. (2, 4)
B. (-1, -1)
C. (-2, 1)
D. (1, -5)
The correct option is C (-2, 1)
According to the question,
3x -4y = -10 --------equation 1
3x = 10 + 4y
[tex]x = \frac{ - 10 + 4y}{3} [/tex]
Also,
4x + 2y = -6 --------equation 2
Put the value of x in the equation,
4((−10+4y)÷3)+2y=−6
[tex] - \frac{40}{3} + \frac{16y}{3} + 2y = - 6[/tex]
[tex] \frac{ - 40 + 16y + 6y}{3} = - 6[/tex]
-40 + 22y = -6*3
-40 + 22y = -18
22y = 40-18
22y=22
y=1
Solving equation 1 for x by putting values if y
3x-4=-10
3x=-6
x=-2
Hence the values of x is -2 and y is 1
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1.
Which inequality represents the expression 9 is less than or equal
to b?
Answer:
Step-by-step explanation:
9 ≤ b
( I think unless it faces the other side...if wrong then I'm sorry)