Answer:
See explanation below.
Step-by-step explanation:
We are looking for the mean and the standard deviation of the sampling distribution of the sample of mean x, given that the mean and standard deviation of sampled population are as follows:
Mean=μ= 77.4
Standard deviation = σ = 4.0
Sample size n = 255
so, the mean of sample mean x will be same as mean of the sampled population:
μₓ = μ = 77.4
and the standard deviation of sample mean x will be standard deviation of the sampled population divided by square root of sample size:
σₓ = σ / √ n
= 4.0 / √225
= 4.0 / 15
= 0.3
What is the correct factorization of 6(x - 2) + y(x - 2)?
Answer:
( x − 2 ) ( 6 + y )
Step-by-step explanation:
Answer:
(x - 2)(6 + y)
Step-by-step explanation:
Given
6(x - 2) + y(x - 2) ← factor out (x - 2) from each term
= (x - 2)(6 + y) ← in factored form
Find the perimeter
18
34
36
40
Describe any trends that you can see from the dot plot.
Help
Answer: Most planes flew below the optimal cruising speed. There is a cluster at the speeds 0.82 through 0.85. Also, the data is close to being symmetric
Step-by-step explanation:
Susie has 4 gallons of juice.How many cups of juice does she have?
ANSWER QUICKLY
Answer: 64 cups
Step-by-step explanation:
Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)
Glenn rolls a 6-sided die. What is the probability that he gets a number greater
than 2 or an odd number?
Answer: 5/6
Step-by-step explanation:
Over 2 there are 4 numbers 3,4,5,6 but it can be odd so also 1 works there are 6 numbers in total and 5 numbers work so
5/6
Answer:
5/6
Step-by-step explanation:
I got 5/6 because every number matches the conditions set except for two. If Glenn rolls a 1, it works because it is an odd number. If Glenn rolls a 2 it doesn't work because it's not an odd number and its not greater than 2. If Glenn rolls a 3 it works because 3 is an odd number and is greater than two, and every number after three will also work, because they are all greater than two. This way, the only number that will not match the conditions is 2, so the answer is 5/6, or 83.(3)%
Which values are solutions to Kz3 >-2? Select two options.
k= -10
k= -7
k=-1
k=0
Save and Exit
Next
Submit
Mark this and retum
The solutions to the inequality (k - 3)/4 > -2 are k = -1 and k = 0. This is determined by solving the inequality step by step and checking each given value.
To find the solutions, we need to solve the inequality step by step:
Start with the inequality: (k - 3)/4 > -2Multiply both sides by 4 to clear the denominator: k - 3 > -8Add 3 to both sides to isolate k: k > -5Now we find the values from the given options that satisfy k > -5:
k = -10: -10 > -5 (No)k = -7: -7 > -5 (No)k = -5: -5 > -5 (No)k = -1: -1 > -5 (Yes)k = 0: 0 > -5 (Yes)Thus, the values that are solutions to the inequality are k = -1 and k = 0.
The complete question is
Which values are solutions to (k - 3)/4 > - 2' Select two options.
k = - 10
k = - 7
k = - 5
k = - 1
k = 0
3.) You are wrapping a present in shape of a tube,
which is 12 feet long and has a radius of 2 ft. You
have 175 ft² of wrapping paper, do you have
enough? Find the surface area to provide your
correct answer.
Answer:
56π = 175.929, so no.
Step-by-step explanation:
Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)
2(4π) + 4π(12)
8π +48π
56π = 175.9 ft^2
A landscape worker cares for 42 lawns in a 6-day work week. express his daily work unit rate.
Answer:
7 lawns per day
Step-by-step explanation:
42 ÷ 6 = 7
Twenty rock songs and 18 rap songs are in a disc jockey’s library. During a radio show how many
different orders can the songs be played if the playlist consists of 8 rock songs and 6 rap songs?
Answe4.516439288 x 10²² ways
Step-by-step explanation:
The number of ways the songs in the playlist can be played involves a permutation, since order is involved.
8 rock songs can be played out of 20 in:
20P8 ways = 20!/(20-8)!
= 20!/12! = 6.033983155 x 10^13 ways
Similarly, 6 rap songs can be played from 18 in:
18P6 ways = 18!/(18-6)!
= 18!/12! = 8.892185702 x 10^12 ways
Hence, the number of ways 8 rock and 6 rap songs can be played from the disc's library is a multiplication of both permutations, which yields:
4.516439288 x 10²² ways
The soccer coach is trying to predict the number of seventh graders who will attend the soccer game. The coach takes a random sample of 10 players on the soccer team.
Is this a good sample for making a prediction?
A)yes
B)no
C)need more information
The mass of 2 large boxes is 16,000 g. One box has a mass of 9,000 g. What is the mass of the other box in kilograms? (1,000 g = 1 kg) 25,000 kg 7,000 kg 25 kg 7 kg
Answer:
7 kg
Step-by-step explanation:
16000g = 16kg
9000g = 9kg
16 - 9 = 7kg
Answer:
The mass of the other box=7kg
Step-by-step explanation:
Subtract 16-9, and add 3 zeros or just write kg.
Determine the x-intercepts of the function. Check all
that apply.
(-2,0)
(-1, -2)
(0,0)
(1,0)
(2,0)
The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.
What is an intercept?To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.
From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.
Setting f(x) to zero for each of the points, we get:
At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.
At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.
At (0,0): f(0) = 0, so x = 0 is an x-intercept.
At (1,0): f(1) = 0, so x = 1 is an x-intercept.
At (2,0): f(2) = 0, so x = 2 is an x-intercept.
Therefore, the x-intercepts of the function are (0,0) and (-2,0).
Learn more about intercept here:
https://brainly.com/question/14180189
#SPJ7
Which expression is equivalent to (-8) - (-2)
Answer:
-6
Step-by-step explanation:
-8 - (-2)
A negative negative is a positive
-8+2
-6
Answer:
-6
Step-by-step explanation:
(-8) - (-2)
(-8) + 2 >>because - ( - ) = +
2 - 8
= -6
Hope this helps!
Remember:
- (-) = +
- (+) = -
+ (+) = +
Need help like now
Please and thank you
Answer:
2 1/2 because 6 - 3 1/2 is 2 1/2
Answer:
I think the answer is 2 and 1/2 or 5/2
Step-by-step explanation:
PLZ HELP ASAP!!!
Image above^ ❤️
HW HELP (also please explain how to do it too)
Answer: 14 + 24 + 24 = 62
Step-by-step explanation:
I got that answer by doing 24 x 7.
We know that the area is 168, so to get the area you divide the length in half; now you have 7. (The length is 14)
All you have to do now is 168 divided by 7 and you get 24. So, now you know the rest of the sides are 24. So, 24 x 2 + 14 = 62
Please let me know if the answer is wrong, thank you.
Solve Thais equation
2x=8(4x-5).
Answer:
[tex]x = \frac{40}{-30\\}[/tex]
Step-by-step explanation:
Lets start by working with our numbers on the right side of the equation.
Begin by using distributive property, turning:
2x = 8(4x - 5) into 2x = 32x - 40
To make things easier, lets subtract 32x on both sides
-30x = 40
Finally, divide by -30 on both sides to get our answered, simplified if necessary:
[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
A) set 2; mean = 30.1 and median = 22.9
B) set 1; mean = 26.2 and median = 22.7
C) set 2; mean = 26 and median = 25
D) set 1; mean = 23.625 and median = 23.5
Set 1 mean - 23.625
Set 2 mean - 23.5
Set 1 median - 23.5
Set 2 median - 22.5
This shows the answer is D :)
PPPLLLZZ I NEED HELPP You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.
Answer:
Yes, because 3,074.6 rounded would be closest to 3,000
Step-by-step explanation:
San Jose to Denver is 1,281 miles
Denver to Chicago is 1,004.7 miles
Chicago to new york city is 788.9 miles
When added up the total mileage is 3,074.6 miles
Answer:
Yes
Step-by-step explanation:
San Jose to Denver is 1281 miles
Denver to Chicago is 1002 miles
Chicago to New York is 789 miles
1281+1002+789 =3072
3000 miles is a close estimate
Our estimate is within 100 miles so I would say it is close
The amounts spent at a gift shop today are $19,$30,$28,$22,$26,and $26. What is the median and lower quartile?
Answer:
Step-by-step explanation:
The lower cortile is 19 because that's the lowest number and the medium cortile is 24 because it's in the middle.
What is the product? -3 4 2 -5 3 -2 1 0
Final answer:
The product of the provided series of numbers is 0, because multiplying any number by zero will always result in zero.
Explanation:
The product of a series of numbers is the result of multiplying all the numbers together. In this case, you have provided a list of numbers: -3, 4, 2, -5, 3, -2, 1, 0. To find their product, we multiply them one by one.
Multiplying any number by zero results in zero, which is an important mathematical rule. Since one of the numbers in the list is 0, the product of these numbers is 0 regardless of all other numbers.
If you are a student with no assets of any value and have liability insurance on an old car that pays a
maximum of $50,000 per accident, what is most likely to happen if you cause an accident that results in
$75,000 in damage to the passengers in another car?
Answer:
you pay 25, 000 from your own pocket and the insurance pays 50,000
Step-by-step explanation:
pls mark brainliest if this helped u
Triangle QRS is transformed as shown on the graph. On a coordinate plane, 2 triangles are shown. The first triangle has points Q (2, negative 1), R (5, negative 2), S (4, 1). The second triangle has points Q prime (negative 1, negative 2), R prime (negative 2, negative 5), S prime (1, negative 4). Which rule describes the transformation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer:
270°
Step-by-step explanation:
Q: (2,-1) --> (-1,-2)
R: (5,-2) --> (-2,-5)
S: (4,1) --> (1,-4)
In general
(x , y) --> (y, -x)
90° clockwise rotation
270° anti-clockwise rotation
Answer:
The correct answer is 270°
A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections?
If someone is able to help me fast that would be great!!!
Step-by-step explanation:
(i) Area of the first cross section
base,b = 8 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (8) (10)
area = 40 m²
(ii) Area of the second cross section
base,b = 12 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (12) (10)
area = 60 m²
Difference in the areas of the cross sections = 60 - 40 = 20 m²
Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide. How deep is it?
Answer:
The chest is 2 feet deep.
Step-by-step explanation:
Given:
Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide.
Now, to find the depth of it.
Length = 3 feet.
Width = 2 feet.
Volume = 12 cubic feet.
Now, to find the depth by using formula:
[tex]Volume= length\times width\times depth\\\\12=3\times 2\times depth\\\\12=6\times depth\\\\Dividing\ both\ sides\ by\ 6\ we\ get:\\\\2=depth\\\\Depth=2\ feet.[/tex]
Therefore, the chest is 2 feet deep.
A bag contains two red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.]
How many possible sets of four marbles are there?
sets
The number of possible sets of four marbles from the bag is 126 sets, calculated using the combinations formula, C(9, 4) = 9! / [4! * (9-4)!].
To determine the number of possible sets of four marbles from a bag containing two red marbles, two green ones, one lavender one, two yellows, and two orange marbles, we can use the concept of combinations in mathematics. The formula for combinations is given by
C(n, k) = n! / [k! * (n-k)!]
where n represents the total number of items to choose from, k represents the number of items to choose, and ! indicates factorial which is the product of all positive integers up to the number.
First, we count the total number of marbles:
2 red 2 green 1 lavender 2 yellow 2 orange2 red
Thus, n=9 total marbles in the bag. We want to choose k=4 marbles out of these.
Applying the combination formula:
C(9, 4) = 9! / [4! * (9-4)!] = 126
Therefore, there are 126 possible sets of four marbles that can be chosen from the bag.
I need help with this question
Answer:
3 in²
Step-by-step explanation:
Since you can derive that the 2 squares completely fill the grid, you can look at the extra pieces that don't fill it. Each extra piece seems to fit 1/4 of the square grid and since there are 4, it completes a whole square.
Altogether, 2 + 1 = 3 squares, estimated.
A square's diagonal is 28√2. What is the length of each side?
23
42
28
25
Answer:
28
Step-by-step explanation:
you times it by itself divide that by two and take the squre root
Identify the graphed linear equation. A) y = 2 3 x + 3 2 B) y = 2 3 x - 3 2 C) y = - 2 3 x + 3 2 D) y = - 2 3 x - 3 2
Answer: the answer is C
Step-by-step explanation:
what is the value of x?
Answer:
The value of x is 40.
Step-by-step explanation:
These are vertical angles meaning that these are both the same angle. We can express this into an equation. (3x - 6) = 114, usually with an equation like this we add the 6 from (3x - 6) and also add it to 114 because whatever you do to one side of the equation you have to do to the other. Because we added 6 to (3x - 6) the 6 from there is gone and since we added 6 to 114 it is now 120 so now the equation is 3x = 120. Now we divide each side me 3 to get the value of x. 3x divided by 3 is x. 120 divided by 3 is 40. So now our equation looks like this, x=40. So this is how the value of x is 40. Let me know if it's right!!