Answer:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Step-by-step explanation:
Mean SAT scores = 1026
Standard Deviation = 209
Mean ACT score = 20.8
Standard Deviation = 4.8
We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.
The formula to calculate the z-score is:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.
z-score for junior scoring 860 in SAT exam will be:
[tex]z=\frac{860-1026}{209}=-7.59[/tex]
z-score for junior scoring 16 in ACT exam will be:
[tex]z=\frac{16-20.8}{4.8}=-1[/tex]
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Find the center and radius of the circle with the equation:
(x - 3)2 + (1 - 1)2 - 10
center: (-3,-1)
au center ( 1)
radius: 4
radius: 4
center: (-3,-1)
d. center (
31)
radius: 16
radius 16
Please select the best answer from the choices provided
Pleaseeee help
Answer:
It’s 14
Step-by-step explanation:
Just add
25% of what number is 55
Answer:
25 percent (calculated percentage %) of what number equals 55? Answer: 220.
Step-by-step explanation:
Answer:
The answer is 220
Step-by-step explanation:
We have, 25% * x = 55
or,
25\100 * x = 55
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 55 * 100/25
x = 220
If you are using a calculator, simply enter 55×100÷25, which will give you the answer.
HOPE THIS HELPS : )
The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 30 ft long, what is its volume?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
848 ft³
Step-by-step explanation:
The volume of a cylinder is given as:
V = pi * r² * h
Where r = radius of the cylinder
h = length of the cylinder.
The diameter of the cylindrical pipe, d = 6 ft
The radius of the cylindrical pipe, r = d/2 = 6 / 2 = 3 ft
The length of the cylindrical pipe, h = 30 ft
The volume of the cylindrical pipe is:
V = 3.14 * 3² * 30
V = 847.8 ft³ = 848 ft³ (to the nearest whole number)
The volume of the cylindrical pipe is 848 ft³.
The volume of a cylindrical construction pipe with a diameter of 6 ft and length of 30 ft can be calculated using the formula for the volume of a cylinder (V = πr²h). Given the specifics, the volume of the pipe is approximately 848 cubic feet.
Explanation:The subject of this question is determining the volume of a cylinder, in this case, a construction pipe. The formula used to calculate the volume of a cylinder is V = πr²h. Here, the diameter of the cylindrical pipe is 6 ft, therefore radius (r) is half of diameter which is 6/2 = 3 ft and the length of the pipe, h, is 30 ft. Substituting r and h into the equation, we have V = 3.14 * (3ft)² * 30ft = 3.14 * 9ft² * 30ft = 847.8 cubic feet. Rounding to the nearest whole number, the volume of the pipe is approximately 848 cubic feet. The unit of volume in this instance is cubic feet, which is a measure of space occupied by a three-dimensional object.
Learn more about Volume of Cylinder:https://brainly.com/question/16041415
#SPJ3
how many attended the basketball game but did not attend the school play
Answer:
Need more information
Step-by-step explanation:
09 CP
Write an algebraic expression for the phrase.
-2 times the quantity q minus 3
A.-2(9-3)
B.-29 - 3
C. 9-3
D. 90-2 - 3)
Answer:
the answer should be as follows:
-2(q-3)
the closest answer would be A
ASB is selling In-N-Out as a fundraiser. Fries cost $2 and shakes cost $3. Students can only buy one item each. ASB wants to know which sells better but they lose track of what they sold. They know 105 students bought either fries or a shake. They count their money and it's $245. How many fries (x) and shakes (y) did they sell?
Answer:
The number of fries and shakes sold are 70 and 35 respectively.
Step-by-step explanation:
The number of fries sold can be denoted by x.
The number of shakes sold can be denoted by y.
The equation representing the total number of items sold is:
x + y = 105...(i)
The cost fries is, $2.
The cost of shakes is, $3.
The equation representing the total money earned is:
2x + 3y = 245...(ii)
Solve equations (i) and (ii) simultaneously as follows:
Multiply equation (i) by 3 and subtract:
3x + 3y = 315
2x + 3y = 245
(-) (-) (-)
___________
x = 70
Compute the value of y as follows:
x + y = 105
70 + y = 105
y = 105 - 70
y = 35
Thus, the number of fries and shakes sold are 70 and 35 respectively.
Ali has a rope that is 6 meters long. He cuts away a piece that is 1.17 meters long. How long is the remaining piece of rope?
Answer:
4.83
Step-by-step explanation:
6 - 1.17 = 4.83
Answer:
6 - 1.17 = 4.83
Step-by-step explanation:
you have 6 meters of rope, if you cut 1.17 of it OFF then you lose it. so that would leave you with 4.83 rope left!
Hope it helps!
plz mark !!!brainlyest!!!
0.0025 as a square root
Answer:
Accoridng to your question we have to find the square root of 0.0025
However students face some problem in finding square roots of number in decimal but it is too easy to find .
√0.0025
0.05 is the square root of 0.0025
after decimal there are two zero and by square root there will be one zero and 25 is the square root of 5 .
so thus we find the square root amd the correct answer is 0.05
The square root of 0.0025 is 0.05, which follows the rule that the square root of a decimal results in half the number of decimal places in the square root, compared to the original number.
Explanation:The student has asked to find the square root of 0.0025. When expressed as a square root, the number 0.0025 is equal to 0.05 because (0.05 * 0.05 = 0.0025). This can be understood by recognizing that the decimal places need to be managed correctly when finding the square root of a decimal. For instance, the square root of 25 is 5, and since 0.0025 has four decimal places, the square root will have half as many decimal places, resulting in 0.05. This concept is further emphasized by using fractional powers, such as re-expressing a number squared (x²) as the square root ( √x ), where x to the power of 2 is the same as x to the power of 1/2.
I need help!!bASAP- What is the mean and MAD of this data set? Let me know
Answer:
Step-by-step explanation: for the mean, add up the list of numbers and divide by how many numbers there are, in this case its 7
(AKS 16/17): You have earned $200 doing chores around the house. How long will it
take to triple your money if you keep it in an account earning 4.25% compounded
continuously? Use the formula:
Answer:
It will take 26 years
Step-by-step explanation:
In this question, we are tasked with calculating the time it will take for an amount of money earned to be tripled if compounded continuously.
To calculate this amount of time, we are going to use the formula for compound interest. Mathematically, for an interest compounded, the amount is as follows;
[tex]A = P(1 + r/n)^{nt}[/tex]
Where;
A is the amount at the end of compounding; which is 3 times the original amount = 3 × $200 = $600
P is the initial amount = $200
r is the rate of compounding = 4.25% = 4.25/100 = 0.0425
n is the number of times in which the amount is compounded annually, we take this as 1
t is the time taken to reach the amount
We substitute these values in the equation;
600 = 200(1 + 0.0425/1)^t
Divide through by 200
3 = (1.0425)^t
Take the logarithm of both sides
log 3 = log(1.0425)^t
log 3 = tlog 1.0425
t = log 3/log1.0425
t = 26.4 which is approximately 26 years
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
Answer:
$1,725.39
Step-by-step explanation:
-Take 1 year =365 days.
#We calculate the effective interest rate for 7% compounded daily;
[tex]i_m=(1+i/m)^m-1\\\\=(1+0.07/365)^{365}-1\\\\=0.072501[/tex]
#We now use this rate to calculate the compounded amount after two years:
[tex]A=P(1+i_m)^n\\\\=1500(1.072501)^2\\\\=1725.39[/tex]
Hence, the balance after 2 years $1,725.39
To find the balance after 2 years with daily compounded interest, the formula [tex]A = P(1 + r/n)^(nt)[/tex] is used, with a principal of $1500, an annual rate of 7%, and n being 365. After calculations, the final balance would be approximately $1717.40.
Explanation:To calculate the balance after 2 years when the interest is compounded daily, we can use the formula for compound interest: A = P(1 + r/n)nt, where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial sum of money).r is the annual interest rate (in decimal form).n is the number of times that interest is compounded per unit t.t is the time the money is invested for in years.In your case, you deposit $1500 in an account that pays 7% annual interest. Since the interest is compounded daily, we will use 365 for n. Here's your calculation:
Convert the annual interest rate from a percentage to a decimal by dividing by 100: 7% / 100 = 0.07.Calculate the balance using the compound interest formula: A = 1500(1 + 0.07/365)(365)(2).Compute the value of (1 + 0.07/365) and then raise it to the power of 730 (which is 365 days times 2 years).The resulting amount is the new balance in your account after 2 years, including the interest that was compounded daily.After doing the math, your compounded balance after 2 years will be approximately:
A = 1500(1 + 0.07/365)730
A ≈ $1500 * 1.14493150684931506849
A ≈ $1717.40
This means that after 2 years, you will have approximately $1717.40.
The volume of gas varies inversely as the pressure. A volume of gas is 120 cubic feet under 6 pounds of pressure. What is the volume at the same temperature when the pressure is 8 pounds?
The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.
Step-by-step explanation:
The given is,
Volume of gas is 120 cubic feet under 6 pounds of pressure.
Volume of gas varies inversely as the pressure.
Pressure is 8 pounds
Step:1
From the given,
Volume of gas varies inversely as the pressure,
[tex]P_{gas}[/tex] ∝ [tex]\frac{1}{V_{gas} }[/tex].......................................(1)
Ratio of volume to pressure of gas is,
= [tex]\frac{120}{6}[/tex] = 20
Step:2
Pressure of gas is increased 6 to 8 pounds,
Change in pressure = 8 - 6 = 2 pounds
Change in volume = Ratio × change in pressure
= 20 × 2 = 40 cubic feet
Step:3
From the equation (1),
The pressure is increased, the volume of gas is reduced.
Volume of gas at pressure of 8 pounds = 120 - 40
= 80 cubic feet
Result:
The volume of gas is 80 cubic feet at the same temperature when the pressure is 8 pounds.
there are 390 students at a school if each classroom holds 30 students how many classroom are needed at the school?
Answer:
13
Step-by-step explanation:
390 divided by 30 equals 13
Answer:
the school need 13 classrooms
Step-by-step explanation:
390:30=13
Given LaTeX: f\left(x\right)=x^{^3}-3x+4f ( x ) = x 3 − 3 x + 4, determine the intervals where the function is increasing and where it is decreasing.
Answer:
Increasing: [tex]x<-1[/tex] and [tex]x>1[/tex].
Decreasing: [tex]-1<x<1[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=x^3-3x+4[/tex]. We are asked to determine the intervals, where the function is increasing and where it is decreasing.
First of all, we will find critical points of our given function by equating derivative of our given function to 0.
Let us find derivative of our given function.
[tex]f'(x)=\frac{d}{dx}(x^3)-\frac{d}{dx}(3x)+\frac{d}{dx}(4)[/tex]
[tex]f'(x)=3x^{3-1}-3+0[/tex]
[tex]f'(x)=3x^{2}-3[/tex]
Let us equate derivative with 0 as find critical points as:
[tex]0=3x^{2}-3[/tex]
[tex]3x^{2}=3[/tex]
Divide both sides by 3:
[tex]x^{2}=1[/tex]
Now we will take square-root of both sides as:
[tex]\sqrt{x^{2}}=\pm\sqrt{1}[/tex]
[tex]x=\pm 1[/tex]
[tex]x=-1,1[/tex]
We know that these critical points will divide number line into three intervals. One from negative infinity to -1, 2nd -1 to 1 and 3rd 1 to positive infinity.
Now we will check one number from each interval. If derivative of the point is greater than 0, then function is increasing, if derivative of the point is less than 0, then function is decreasing.
We will check -2 from our 1st interval.
[tex]f'(-2)=3(-2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](-\infty, -1) \text{ or } x<-1[/tex].
Now we will check 0 for 2nd interval.
[tex]f'(0)=3(0)^{2}-3=0-3=-3[/tex]
Since -3 is less than 0, therefore, function is decreasing on interval [tex](-1,1) \text{ or } -1<x<1[/tex].
We will check 2 from our 3rd interval.
[tex]f'(2)=3(2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](1,\infty) \text{ or } x>1[/tex].
What is the end behavior of the graph of f(x)=x^5-8x^4+16x^3
Answer:
As x approaches -∞, y approaches -∞
As x approaches ∞, y approaches ∞
Step-by-step explanation:
The more negative your x gets, the more negative your y gets for (most of the equation).
The more positive your x gets, the more positive your y gets (for most of the equation).
A company figured that if it had 50 more employees and paid each one $2 per day less, the payroll would increase $620 per day. If it had 50 less employees and paid each $4 per day more, the payroll would decrease $640 per day. How many employees does the company now have? a) 150 b) 125 c) 80 d) 140 e) 180
Answer: 50 more because it makes sense and 2 dolllors it digures
Step-by-step explanation:
a the answerb thats what i put
At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the
weight (i.e. the force it applies on the clock's hand to move clockwise) varies in a periodic way that can be
modeled by a trigonometric function.
The torque peaks 15 minutes after each whole hour, when the minute hand is pointing directly to the right,
at 3 Nm (Newton metre, the SI unit for torque). The minimum torque of -3 Nm occurs 15 minutes
before each whole hour, when the minute hand is pointing directly to the left.
Find the formula of the trigonometric functid that models the torque applied by the weight t minutes
after Thomas attached the weight. Define the function using radians.
T(t) =(
Answer:
T(t) = 3sin((t-5)π/30)
Step-by-step explanation:
5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...
T(t) = 3sin((t-5)π/30)
Solve:
3x - 4+2(x-5)= 9x + 8- 2x
Answer:
x = -11
Step-by-step explanation:
3x - 4 + 2(x - 5) = 9x + 8 - 2x
3x - 4 + 2x - 10 = 9x + 8 - 2x
3x + 2x - 9x + 2x = 8 + 10 + 4
- 2x = 22
- x = 22/2
- x = 11
x = - 11
The equation 3x - 4+2(x-5)= 9x + 8- 2x can be solved by first simplifying to 5x - 4 = 7x + 8. After re-arranging, it simplifies to -12 = 2x, and therefore, x = -6.
Explanation:To solve this equation, first simplify and combine like terms on each side of the equation. That gives us: 5x - 4 = 7x + 8. Next, let’s get all the x terms on one side. To do that, we subtract 5x from both sides, which gives us -4 = 2x + 8. Then, subtract 8 from both sides to isolate the 'x', resulting in -12 = 2x. Finally, divide both sides by 2 to find the value of x, which is -6.
Learn more about Solving Equations here:https://brainly.com/question/18322830
#SPJ2
Chloe is about to perform a relay handoff on a circular track that has a radius of 100 meters. She
needs to run 143.12 meters to pass the baton to her track partner Claire. This means that Claire is
standing
away from her
Which of the following can be use to fill in the above blank?
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2[tex]\pi[/tex]r
So that,
total length of the circular track = 2[tex]\pi[/tex]r
= 2 × [tex]\frac{22}{7}[/tex] × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.
Solve the equation for x.
-13 + x= 7 + 5x
5
1.5
-1.5
5
Step-by-step explanation:
Bringing like terms on one side
-13 - 7 = 5x - x
-20 = 4x
-20/ 4 = x
- 5 = x
a box is shaped like a cube the box has a length of 1 foot of width of 1 foot and a height of 1 foot what is the volume of the box
Final answer:
The volume of the cube-shaped box, with each side measuring 1 foot, is 1 cubic foot, calculated by multiplying the length by the width by the height.
Explanation:
To find the volume of a cube-shaped box, you multiply the length by the width by the height. Since the box in question has a length, width, and height of 1 foot each, the calculation is quite straightforward:
Volume = length × width × height
Volume = 1 ft × 1 ft × 1 ft
Volume = 1 cubic foot
Therefore, the volume of the cube-shaped box is 1 cubic foot.
which of the following quotients are negative check all that apply
Answer:B and D
Step-by-step explanation:Hopes this helps to anyone who finds this
Hund’s rule of maximum multiplicity specifies that _____. A. electrons will fill orbitals of lower energy first, pairing up only after each orbital of the same energy already has one electron B. electrons will fill orbitals of lower energy first, pairing up only after each s and p orbital has one electron C. electrons will fill all of the s orbitals before filling any p orbitals D. the pattern by which electrons occupy orbitals cannot be predicted
Answer:
A. electrons will fill orbitals of lower energy first, paring up only after each orbital of the same energy already has one electron
Step-by-step explanation:
The rule states that for a given electron configuration, the lowest energy term is the one with the greatest value of spin multiplicity. This implies that if two or more orbitals of equal energy are available, electrons will occupy them singly before filling them in pairs.
Hal has three pieces of wood. Board A is 12 inches long, board B is 3 inches long, and board C is 7 inches long. If the full length of each board is used, can the three pieces of wood be placed together to form a triangle?
Can someone explain what you do here!! Kind of low on time!!
Answer:
a:
[tex]sin(\theta)=\frac{opposite}{hypotenus}[/tex]
[tex]sin(60)= \frac{a}{4\sqrt3}[/tex]
[tex](4\sqrt3)sin(60)= a[/tex]
[tex](4\sqrt3)(\frac{\sqrt3}{2})= a[/tex]
[tex]6= a[/tex]
b:
the answer choices all have the same value for b, so I dont have to solve for b at all.
[tex]b=6\sqrt2[/tex]
c:
[tex]cos(\theta)=\frac{adjacent}{hypotenus}[/tex]
[tex]cos(60)= \frac{c}{4\sqrt3}[/tex]
[tex](4\sqrt3)cos(60)= c[/tex]
[tex](4\sqrt3)(1/2)= c[/tex]
[tex]2\sqrt3= c[/tex]
d:
d is inside a 45-45-90 triangle. Therefore, side a and d must be of the same length.
[tex]d=a[/tex]
[tex]d=6[/tex]
A raindrop was 24 meters above the ground, falling straight down at a constant velocity. It took the raindrop 3 seconds to fall half the distance to the ground. What was the raindrops velocity?
Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
x + 3/3+x=?
................................
Answer:
1x^2
Step-by-step explanation:
-3n + 4r + 2j+n + (-2r) - 10j Simplify and write the answer
Answer:
-8j -2n +2r
combine like terms
-3n + 4r + 2j+n + (-2r) - 10j
-3n+n
2j - 10j
(-2r) + 4
The volume of a sphere is 32
3
π cubic centimeters. What is the radius?
Sphere V = 4
3
πr3
1. Substitute 32
3
into the volume formula for V: 32
3
π = 4
3
πr3
2. Multiply both sides of the equation by 3
4
: 8π = πr3
3. Divide both sides of the equation by π. 8 = r3
4. Take the cube root of both sides: 3√8 = r
The radius of the sphere is
cm.
Answer:
The radius of sphere is 2 cm.
Step-by-step explanation:
Given that,
Volume of a sphere is, [tex]V=\dfrac{32}{3}\pi cm^3[/tex]
We need to find the radius of sphere. The formula of volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r is radius of sphere
Substitute the value of V in above formula. So,
[tex]\dfrac{32}{3}\pi =\dfrac{4}{3}\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm[/tex]
So, the radius of sphere is 2 cm.
Answer:
2 I took the assignment
Step-by-step explanation:
If you wanted to calculate the amount of cardboard needed to create a cereal box
what would you be solving for?*
(1 Point)
Volume?
Lateral Surface Area?
Total Surface Area?
Answer: Total Surface Area
Step-by-step explanation:
Hi, to calculate the amount of cardboard needed to create a cereal box we have to calculate the total surface area.
The volume is used to calculate the amount of cereal that the box can contain, and the lateral surface area will not include all the cardboard needed for the complete box.
Feel free to ask for more if needed or if you did not understand something.
To calculate the amount of cardboard needed to create a cereal box, we would be solving for the Total Surface Area. This is the sum of the areas of all the faces (or sides) of the box.
Explanation:When we talk about the amount of cardboard needed to create a cereal box, we are interested in determining the
Total Surface Area
of the box. The surface area is the measure of the total amount of material needed to cover the surface of an object. If we're considering a cereal box, which is a three-dimensional rectangular prism, its total surface area is calculated by summing up the areas of all its six faces (top and bottom, front and back, left and right). Specifically, the formula for the total surface area of a box or rectangular prism is 2lw + 2lh + 2wh where l is the length, w is the width, and h is the height.
Learn more about Total Surface Area here:https://brainly.com/question/32020124
#SPJ3