631 is the answer-I’m taking this castle learning rn
Using the normal distribution, it is found that 631 of the 750 incoming students can be expected to be enrolled in the tutoring program.
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.The proportion of students who score one standard deviation below the mean is the p-value of Z = 1, hence it is of 0.8413.
Hence, out of 750 students, the number is given by:
0.8413 x 750 = 631 students can be expected to be enrolled in the tutoring program.
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Here is the equation of a circle in standard form.
(x + 10)2 + (y + 9)2 = 100
What are the coordinates of the center?
A. (-10, -9)
B. (9, 10)
C. (-9, -10)
Answer:
A
Step-by-step explanation:
The equation is in the standard form of a circle:
(x – h)^2 + (y – k)^2 = r^2
where (h,k) is the center, and r is the radius.
If we compare the 2 equations:
(x – h)^2 + (y – k)^2 = r^2
(x + 10)^2 + (y + 9)^2 = 100
We can see that the center is (-10, -9).
This is because (x- -10) will become (x+10), and (y- -9) will become (x+9).
So, choice A is correct
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h, k) is the center and r is the radius.
Here, our equation is: [tex](x+10)^2+(y+9)^2=100[/tex] , which means that h = -10 and k = -9. Then, the center is (-10, -9).
The answer is A.
use the properties of rational numbers to multiply the following 7/12 * 253 / 5
Answer:
the answer is 29.516 i had this question and got it right have a great day
Step-by-step explanation:
Answer:
1771/60
Step-by-step explanation:
Riley and Jace work at a dry cleaners ironing shirts. Riley can iron 25 shirts per hour, and Jace can iron 30 shirts per hour. Riley worked 3 more hours than Jace and they ironed 460 shirts between them. Write a system of equations that could be used to determine the number of hours Riley worked and the number of hours Jace worked. Define the variables that you use to write the system.
Answer:
25r +30j = 460r - j = 3Step-by-step explanation:
Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...
25r +30j = 460
r - j = 3
__
The solution is (r, j) = (10, 7).
The system of equations that could be used to determine the number of hours Riley and Jace worked is: R = J + 3 and 25R + 30J = 460, where R represents the number of hours Riley worked, and J is the number of hours Jace worked.
Explanation:Let's define our variables first. Let's let J represent the number of hours Jace worked and R represent the number of hours Riley worked.
From the information given, we know that Riley worked 3 more hours than Jace. So we can write this as an equation: R = J + 3.
We also know that between them, they ironed 460 shirts. We can express this as another equation by multiplying their per-hour output by the number of hours they worked, then adding the two together: 25R + 30J = 460.
So our system of equations is: R = J + 3 and 25R + 30J = 460.
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Choose ONE of the equations to solve. SHOW DETAILED WORK & give the answer.
Answer:
x=3
Step-by-step explanation:
9x+5+2x = 38
Combine like terms
9x+2x +5 = 38
11x+5 = 38
Subtract 5 from each side
11x+5-5 = 38-5
11x = 33
Divide each side by 11
11x/11 = 33/11
x = 3
Answer:
3(2n + 10) = 54
n = 4
Step-by-step explanation:
3(2n + 10) = 54
Divide both sides by 3
2n + 10 = 18
Subtract 10 form both sides
2n = 8
Divide both sides by 2
n = 4
Which of the following best describes the square root of 51?
Answer:
The [tex]\sqrt{51}[/tex] is between the [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] which simplified is 7 and 8.[tex]\sqrt{51}[/tex] equals 7.14142843...Step-by-step explanation:
Is there answer choices? If not here's my answer:
The [tex]\sqrt{51}[/tex] is between the [tex]\sqrt{49}[/tex] and [tex]\sqrt{64}[/tex] which simplified is 7 and 8.[tex]\sqrt{51}[/tex] equals 7.14142843...That's all that it should be.
Fill in the blank: 2 yards = __________ feet
Answer:
6 feet
Step-by-step explanation:
1 yard = 3 feet
2 yard =6 feet
Sorry I can't have a better explanation it is really simple.
What is the solution to this system? Enter the solution as an ordered pair,
(x, y).
Answer:
(-2, 5)
Step-by-step explanation:
The solution of a system is where the lines cross, or a common point they share. The lines meet at (-2, 5), so that is the solution to the system.
In Prodigy, Luigi's inventory weighs 3 grams. He is collecting old socks,
each sock weighs grams.
Let the total weight of his inventory be represented by i.
Let the number of old socks collected be represented by s.
An equation that represents this scenario is:
i = s +3
What is the total weight of his inventory if he collects 27 socks?
Answer as a decimal.
Final answer:
The total weight of Luigi's inventory if he collects 27 socks is 30 grams.
Explanation:
The equation i = s + 3 represents the scenario where Luigi's inventory weight is represented by i and the number of old socks collected is represented by s. According to the equation, the total weight of Luigi's inventory is equal to the number of socks collected plus 3 grams.
If Luigi collects 27 socks, we can substitute s with 27 in the equation to find the total weight of his inventory.
i = 27 + 3 = 30 grams.
help pls??????????????????????????????????????????????????????????
The two events are Independent events. So, the selection of topics by different students does not influence each other's choices.
This is a question about whether the events of students selecting essay topics independently are dependent or independent. In this context, the two events are independent. Each student's choice of topic does not depend on the choices of other students, as they do not need to inform the teacher or each other beforehand. Therefore, the selection of topics by different students does not influence each other's choices.
Find the period of the graph shown below
A. 4π
B. π
C. 2π
D. 2/3π
cx=d+r solve for x, pls help
Answer:
x = d/ C + r/ C
Step-by-step explanation:
The "/" means fraction
Mark me as brainliest please
Identify the outlier or outliers in the data set: 3, 2, 2, 1, 2, 3, 6, 2, 1, 1, 3, 2, 2, 2, 1, 3
Answer:
the outlier would be 6
Step-by-step explanation:
6 is the number that stands out the most therefore it is an outlier!
:)
How much juice is in the container?
A) 4 cups
OB) 1 pint
C) 1 quart
D) 2 gallons
the answer is B 2 cups in 1 pint
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
Answer:
Answer choice d
Step-by-step explanation:
To find the volume of this triangular prism, you first need to find the area of the triangular base. The formula for the area of a triangle is bh/2, which in this case is 3*2/2=3 square units. Multiplying this by the height of the prism, 3.5, you get a total of 10.5 cubic inches, or answer choice d. Hope this helps!
What is the standard number for 4 1/2 million.
Answer:
4,500,000
Step-by-step explanation:
4 million is 4,000,000
half of a million is 500,000
added together is 4,500,000
Consider Circle Y with radius 3 m and m XYZ=70
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answer:
4.9m
Step-by-step explanation:
In circle Y:
Radius=4m
Central Angle of XYZ=70°
Length of an arc[tex]=\frac{\theta}{360^\circ}X2 \pi r [/tex]
Therefore, Length of minor arc XZ
[tex]=\frac{70^\circ}{360^\circ}X2X4 X \pi [/tex]
=4.9m (correct to the nearest tenth)
6-2x+1x=-4x+18+1 x combine like terms
Answer:
x = 6
Step-by-step explanation:
first of all, you should know how to do this, this is the basic level of math that students learn in 4th grade.
first you combine like terms (terms that have the same variable)
6 - 2x + 1x = -4x + 18 + 1x
= 6 - 1x = -3x + 18
= 6 = -2x + 18
= -12 = -2x
= 6 = x
The Distance Between London And Cardiff Is 150 Miles. What is The Distanec In Kilometeres
Answer:
241.402
Step-by-step explanation:
Answer:
241.402
Step-by-step explanation:
1. $1,200,000 is equal to
million___dollars.
O 0.0012
0 0.12
O 1.2
O 12
O 1200
Answer:
1.2^6
Step-by-step explanation:
cuz count the zeroes, and that is the scientific notation
Math question please answer my question First one answered will be marked brainliest.
Answer:
7^12
Step-by-step explanation:
We know that a^b ÷ a^c = a^(b-c)
7 ^ 14÷ 7^2
7^ (14-2)
7^12
Answer:
7¹²
Step-by-step explanation:
7¹⁴ ÷ 7²
7^(14-2)
7¹²
please help it is an 100 point test first person gets brainlyist :)
The distance around a circular dance hall room is 135 feet. What is the longest distance around the dance hall?
Answer: 43feet
Step-by-step explanation:
Perimeter= 135 feet
Since perimeter= 2πr
135 = 2πr
Recall that π = 3.14
135 = 2 × 3.14 × r
135 = 6.28 × r
135 = 6.28r
r = 135/6.28
r = 21.5
d = 2r
d = 2 × 21.5
d = 43 feet
Answer:
42.95 feet
Step-by-step explanation:
In this question, we are tasked with calculating the distance around the dance hall that is the greatest.
Now, to answer this, we must have at the back of our mind that the dance hall is circular in shape. Thus, the greatest distance that could arise is the distance from one edge of the dance hall to the other end of the dance passing exactly through the center of the dance hall.
This distance described above is the diameter of the dance hall.
Notice we were given a length in the question? This length refers to the circumference around the circular dance hall.
Reframing then question, we were just told to calculate the diameter of a circle given the circumference of the circle.
Mathematically, circumference C of a circle = 2 * pi * r
Recall, mathematically also 2r = D
so we can say C = pi * D
Using the value of 22/7 for pi and the value of the circumference in the question, we have;
135 = 22/7 * D
D = (7 * 135)/22
D = 42.95 feet
a local small business will donate money to the students council based on the number of carnival tickets sold. the points shown on the graph repersent the model
Answer:
A = 5
B= 20
C= 15
D=20
Step-by-step explanation:
Answer:
A = 5
B= 20
C= 15
D=20
Step-by-step explanation:
30 points!!!
AOC and BOD are diameters of a circle, centre O. prove that triangle ABD and triangle DCA are congruent by RHS.
Triangle ABD and triangle DCA can be proven congruent using the RHS congruence criterion.
Explanation:To prove that triangle ABD and triangle DCA are congruent using the RHS (Right Angle, Hypotenuse, Side) congruence criterion, we need to show that they have a right angle, an equal hypotenuse, and an equal side adjacent to the right angle.
Since AOC and BOD are diameters of the circle, we know that they are perpendicular to their respective radii.Therefore, angle AOB is a right angle, and triangle AOB is a right triangle.Since AO and BO are radii of the same circle, they have the same length, making the hypotenuse AB of triangle ABD equal to the hypotenuse BD of triangle DCA.Furthermore, angle ABD and angle CDA are both subtended by the same arc AD, so they are equal in measure.Finally, the adjacent sides to the right angles, AB and DC, are also equal as they are radii of the circle.Therefore, by the RHS criterion, triangle ABD and triangle DCA are congruent.
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A sector with an area of 48\pi cm^(2) has a radius of 16 cm. what is the central angle measure of the sector in radians
Answer:
The central angle is = 3/8 π
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case, since we are asked to find the central angle measure of the sector in radians, then we will use the second formula
area = 48π cm² and radius = 16 cm
area of sector = 1/2 × r² × Ф
48π = 1/2 × 16² × Ф
48π = 1/2 ×256 × Ф
48π = 128×Ф
Divide both-side of the equation by 128
[tex]\frac{48}{128}[/tex] π = Ф
Ф = [tex]\frac{48}{128}[/tex] π
The right-hand side can be reduced to its lowest term
Ф = 48 ÷ 16 / 128 ÷16 π
Ф = 3/8 π
y = 50 + 2x
y = 40 + 2x
Which statement about the pair of equations is true?
Answer:
what are the statements
someone help me with this
Answer:
A -47
Step-by-step explanation:
(2-10)= -8*5= -40-7= -47
Answer:
-47.
Step-by-step explanation:
5(2-10)-7
--> 2-10= -8
5*-8-7
--> 5*-8= -40
--> -40-7 = -47
Marjorie has 36 boxes of video games to unpack and put on shelves.Each box contains 28 video games.How many video games in all need to be unpacked.
36 boxes
28 video games per box
That means, we have to multiply 36 by 28 to get the total number of video games.
36 x 28 = 1008
Therefore, 1,008 video games need to be unpacked.
Marjorie must unpack a total of 1008 video games, calculated by multiplying 36 boxes by 28 video games per box.
Marjorie has 36 boxes of video games to unpack, with each box containing 28 video games.
To find out the total number of video games that need to be unpacked, we simply multiply the number of boxes by the number of video games in each box.
The calculation is as follows:
36 boxes × 28 video games per box = 1008 video games
Therefore, Marjorie needs to unpack a total of 1008 video games.
145 = 3500(0.06)(t)
Answer:
t = 29/42
Step-by-step explanation:
in this equation you have to first multiply everything out on the right side. 3500 * 0.06 = 210.
Now you have 145 = 210t
divide by 210 on both sides
145/210 can be simplified to 29/42
so t = 29/42
Mr. Hayes has Ill straw bundles to use for bedding in his horse stalls. What is the
greatest number of stalls he can fill if each stall holds exactly 4 bundles of
straw?
We have been given that Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. We are asked to find the greatest number of bundles that he can fill if each stall holds exactly 4 bundles of straw.
To solve our given problem, we will divide 111 by 4.
[tex]\text{Greatest number of stalls that can be filled}=\frac{111}{4}[/tex]
[tex]\text{Greatest number of stalls that can be filled}=27.75[/tex]
Since 0.75 is not an integer, so Mr. Hayes cannot fill 0.75 of a stall. Therefore, the greatest possible number of stalls will be 27.