The volume of a square pyramid is found by multiplying the area of the base by the height divided by 3.
32 = 4^2 x h/3
32 = 16 x h/3
Multiply both sides by 3
96 = 16 x h
Divide both sides by 16
H = 96/16
H = 6
The height is 6 feet
Answer:
6 ft
Step-by-step explanation:
Volume of the pyramid:
V= lwh/3, where l- base length, w- base width, h- heightGiven
V= 32 ft³l=w= 4 fth=?Then, as per formula, we can solve it for h:
32= 4×4×h/3h= 32×3/16h= 6 ftHeight of the pyramid is 6 ft
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (a) What is the probability that a subject would guess exactly 18 correct in a series of 36 trials
Answer: The answer is 0.1350
Step-by-step explanation:
Given data
n=36
p=1/2
q=1/2
X=18
O=3
U = 18
a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.
The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.
Given that,
ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.
We have to determine,
What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?
According to the question,
Number of trials n = 36
The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.
By using the normal approximation,
[tex]\mu = 18 \ and \ \sigma = 3[/tex]
Therefore,
X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.
p = 0.1350
Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.
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express 3.222......in p/q form
Answer:
3.22222...... = [tex]\frac{29}{9}[/tex]
Step-by-step explanation:
In this question we have to convert the number given in recurrent decimals into fraction.
Recurrent decimal number is 3.22222.......
Let x = 3.2222......... -------(1)
Multiply this expression by 10.
10x = 32.2222........... -------(2)
Now subtract the expression (1) from (2),
10x = 32.22222.....
x = 3.22222.......
9x = 29
x = [tex]\frac{29}{9}[/tex]
Therefore, recurrent decimal number can be written as [tex]\frac{29}{9}[/tex] which is in the form of [tex]\frac{p}{q}[/tex].
If m
X=49, y=41
X=90, y= 49
X=41, y =49
X=90, y=41
Answer:
x=90 degrees and y=41 degrees.
Step-by-step explanation:
In the diagram
[tex]AB=AC\\$Therefore \triangle ABC$ is an isosceles triangle[/tex]
[tex]m\angle C=49^\circ[/tex]
Since ABC is Isosceles
[tex]m\angle B=m\angle C=49^\circ $ (Base angles of an Isosceles Triangle)[/tex]
[tex]m\angle A+m\angle B+m\angle C=180^\circ $ (Sum of angles in a Triangle)\\m\angle A+49^\circ+49^\circ=180^\circ\\m\angle A=180^\circ-(49^\circ+49^\circ)\\m\angle A=82^\circ[/tex]
[tex]m\angle x=90^\circ $(perpendicular bisector of the base of an isosceles triangle)[/tex]
[tex]m\angle y=m\angle A \div 2 $ (perpendicular bisector of the angle at A)\\m\angle y=82 \div 2\\m\angle y=41^\circ[/tex]
Therefore:
x=90 degrees and y=41 degrees.
Use the appropriate double-angle formulas to rewrite the numerator and denominator of the expression given below. For the denominator, use the double-angle formula that will produce only one term in the denominator when it is simplified.
1+ Cos2x/ Sin2x = 1+ (____)/____
= _____ / _____
The expression from the previous step then simplifies to cot x using what?
a. Even-Odd Identity
b. Quotient Identity
c. Pythagorean Identity
d. Reciprocal Identity
Answer:
x=1
Step-by-step explanation:
1+1+2x+2x= 6
1+1=2
2x+2x=4x
2+4x=6
x=1
A dollar bill weighs one gram. How many pounds do one million dollar bills weigh? (1000 grams
is equal to 1 kilogram and 1 kilogram is equal to about 2.205 pounds.)
Hey there! I'm happy to help!
First of all, if one bill weighs on gram, a million would weigh one million grams. Let's divide this by 1,000 to see how many kilograms it is.
1,000,000/1,000=1,000
Now, we need to convert 1,000 kilograms into pounds. We see that 1 kilogram is equal to about 2.205 pounds, so we multiply 1,000 kilograms by 2.205 to get our pounds.
1,000*2.205=2205
Therefore, one million dollar bills weigh about 2205 pounds.
Have a wonderful day! :D
(2/5) URGENT PLEASE HELP!!! -50 POINTS- & WILL MARK BRAINLIEST AND RATE 5 IF CORRECT. please dont answer random things just for the points.
Answer:
(A) As x -> -inf, y->-inf, and as x->inf, y->inf.
Step-by-step explanation:
All polynomial, of odd degree have extremities must point in opposite directions (one each of + and - infinity)
All even degree polynomials have extremities in the same direction, i.e. both towards +inf, or both towards -inf.
Since this is a cubic, so the extremities must point in opposite directions, so options B and D cannot apply.
Next, when the leading coefficient, the coefficient of ther term of the highest degree, namely 5x^3, positive, the graph will approach +infinity in the positive direction (and approach -infinity in the negative direction).
This eliminates option (C), and we see that option (A) satisfies all conditions.
When the leading coefficient is negative, it works the other way round.
Answer:
As x goes to -∞ y goes to -∞
As x goes to ∞ y goes to ∞
Step-by-step explanation:
We need to look at the dominate term
5x^3
As x goes to -∞
y goes to 5 ( -∞)^3 = -∞
As x goes to -∞ y goes to -∞
As x goes to ∞
y goes to 5 ( ∞)^3 = ∞
As x goes to ∞ y goes to ∞
Help, no time left; almost !
Answer:
x = 50
Step-by-step explanation:
Since the triangle has 2 congruent sides then it is isosceles, thus the base angles are congruent, that is x and x
The sum of the angles in a triangle = 180°, thus
x + x + 80 = 180
2x + 80 = 180 ( subtract 80 from both sides )
2x = 100 ( divide both sides by 2 )
x = 50
Sophia gets a CD for $5000 for 5 years at 5.25% compounded quarterly. What’s the balance after 5 years.
Answer:
Balance in 5 years = 6489.79 (to the nearest $0.01)
Step-by-step explanation:
Future value
FP = P(1+i)^n
P=initial deposit=5000
i = interest per period=5.25/4
n = number of periods=4*5=20
FP
= P(1+i)^n
= 5000( 1 + 0.0525/4 )^20
= 5000*1.297958012811783
= 6489.79 (to the nearest $0.01)
Categorical independent variables are _____. The independent variables must all be categorical (nonmetric) to use ANOVA
Answer:
Categorical independent variables are ___FACTORS__
The independent variables that are categorial should be factors.
What are the factors?In terms of mathematics, factor represents the no of algebraic expression where it split the other number that contains the zero remainder. As the factor of 12 should be 3 and 4. So based on this, the independent variables that are categorical should be considered as the factors.
Therefore, we can conclude that The independent variables that are categorial should be factors.
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Math problem help please
Answer:
No
Step-by-step explanation:
In exponential behavior each number increases by some some power in respect of previous number.
example
2,4,8,16
which is similar as 2 , 2^2,2^3,2^4
here it can be represented as y = 2^x
here we see that each number increases by power of 2, hence it shows exponential behavior.
____________________________________________
In the problem
(1,1), (2,2) ,(3,3), (4,4)
23 see that each number increases by one unit in respect of previous number
and also x is same as y
thus, it can be represented as
y = x which is linear behavior
hence , the given data set shows linear behavior rather than exponential behavior.
Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If the 2 times 2 matrix P is the transition matrix for a regular Markov chain, then, at most, one of the entries of P is equal to 0. Choose the correct answer below. A. This is false. In order for P to be regular, the entries of P^k must be non-negative for some value of k. For k=1 the matrix Start 2 By 2 Table 1st Row 1st Column 0 2nd Column 1 2nd Row 1st Column 0 2nd Column 1 EndTable has non-negative entries and has two zero entries. Thus, it is a regular transition matrix with more than one entry equal to 0. B. This is true. If there is more than one entry equal to 0, then the number of entries equal to zero will increase as the power of P increases. C. This is true. If there is more than one entry equal to 0, all powers of P will contain 0 entries. Hence, there is no power k for which Upper P Superscript k contains all positive entries. That is, P will not satisfy the definition of a regular matrix if it has more than one 0. D. This is false. The matrix P must be regular, which means that P can only contain positive entries. Since zero is not a positive number, there cannot be any entries that equal 0.
Answer:
C. This is true. If there is more than one entry equal to 0, all powers of P will contain 0 entries. Hence, there is no power k for which Upper P Superscript k contains all positive entries. That is, P will not satisfy the definition of a regular matrix if it has more than one 0
Step-by-step explanation:
The correct option is C as it represents that by considering a matrix P that involves more than one zero and at the same time the powers for all P has received minimum one zero or it included at least one zero
Therefore the statement C verified and hence it is to be considered to be valid
Hence, all the other statements are incorrect
helppppppppp pleaseeeeeeeeeeeeeeeeeeeee
Answer:
3
Step-by-step explanation:
1/4 < 3/4
The lines are split into 4 parts
Point A is at 1/4 and Point B is at 3/4
A is less than B
Answer:
if im correct there should be three answers which are 1,2, and 3
Step-by-step explanation:
each line plot of 1, 2, and 3 show that point A is 1/4 and point B is 3/4 meaning point A is less than point B even though in 1, and 2 the line plot for point B is shorter it still shows the same thing 1/4<3/4
find the area of the circle in terms of π
diameter of the circle: 6.3 ft
Answer:
9.9225π feet.
Step-by-step explanation:
The area of a circle is pi * r^2.
The diameter is 2r. 2r = 6.3; r = 6.3 / 2 = 3.15.
pi * 3.15^2 = pi * 9.9225
9.9225π feet is your answer.
Hope this helps!
Answer:
Given that
diameter of circle=6.3ft=192.02cm
radius of circle=d/2=192.02/2=96.01cm
So, area of circle=πr2
= π×(96.01)^2
= 9217.92π cm^2
hope it helps u....
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Explain how estimating the quotient helps you place the first
digit in the quotient of a division problem.
Step-by-step explanation:
look at the picture and if you still need help let me know or if this doenst help then well im sorry lol
Which circle has a central angle that measures 40°?
Circle U is shown. Line segment Z X is a diameter. Line segment V X is a secant. Angle V X Z is 40 degrees.
Circle U is shown. Line segments U V and U Z are radii. Angle V U Z is 40 degrees.
Circle U is shown. Line segment Z V is a secant. Line segment Z X is a tangent. Angle X Z V is 40 degrees.
Circle U is shown. Line segments X V and X Z are secants. Angle V X Z is 40 degrees.
Answer:
Option B.
Step-by-step explanation:
We need to find the circle that has a central angle that measures 40°.
In all options, the center of circle is U. It means central angle must be on center, i.e., U.
In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.
In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.
In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
Therefore, the correct option is B.
Answer:
it is B
Step-by-step explanation:
We need to find the circle that has a central angle that measures 40°.
In all options, the center of circle is U. It means central angle must be on center, i.e., U.
In option A,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
In option B,the angle VUZ is at point U which is the center. So, angle VUZ is a central angle with measure 40°.
In option C,the angle XZV is at point Z which is not the center. So, angle XZV is not a central angle.
In option D,the angle VXZ is at point X which is not the center. So, angle VXZ is not a central angle.
Therefore, the correct option is B.
In 2005, there were 14,100 students at college A, with a projected enrollment increase of 750 students per year. In the same year, there were 42,100 students at college B, with a projected enrollment decline of 1250 students per year. According to these projections, when will the colleges have the same enrollment? What will be the enrollment in each college at that time?
Set up two equations and set equal to each other. Let number of years = x:
College A = 14100+750x
College B = 42100-1250x
Set equal:
14100 + 750x = 42100 - 1250x
Subtract 750x from both sides:
14100 = 42100 - 2000x
Subtract 42100 from both sides:
-28000 = -2000x
Divide both sides by -2000:
x = -28000 / -2000
x = 14
It will take 14 years for the schools to have the same enrollment.
Enrollment will be:
14100 + 750(14) = 14100 + 10500 = 24,600
Answer:
(a)2019 (14 years after)
(b)24,600
Step-by-step explanation:
Let the number of years =n
College A
Initial Population in 2005 = 14,100
Increase per year = 750
Therefore, the population after n years = 14,100+750n
College B
Initial Population in 2005 = 42,100
Decline per year = 1250
Therefore, the population after n years = 42,100-1250n
When the enrollments are the same
14,100+750n=42,100-1250n
1250n+750n=42100-14100
2000n=28000
n=14
Therefore, in 2019 (14 years after), the colleges will have the same enrollment.
Enrollment in 2019 =42,100-1250(14)
=24,600
Write the equation of a line through the given point with the given slope (0,6);m undefined
Answer:
x=0
Step-by-step explanation:
If the slope is undefined, the line is vertical
vertical lines are of the form
x =
Since the point is (0,6)
x=0
What is the solution to the equation below? Round your answer to two decimal places. In x=0.3
Step-by-step explanation:
Since you are given the values there is no need to try another method then replacing x by the values
We can eliminate the negative values since you'll face math errors We have two remaining values 2 and 1.35㏑(2)= 0.69
㏑(1.35) = 0.3
so the right answer is D
A plane's altitude is 2,400 feet. For the pilot, the angle of depression to the base of a control tower is
13°. What is the ground distance from the plane to the base of the control tower?
Round to the nearest foot.
feet
Answer:
Ground distance = 10396 feet (nearest foot)
Step-by-step explanation:
The horizontal distance given the vertical is governed by the tangent of the angle of depression.
V/H = tan(angle of depression)
Hence
H = V / tan(angle of depression)
= 2400 / tan(13)
= 10395.5 feet
A student bought a sandwich for 80 cents, milk for 20 cents, and pie for 30 cents. How much did the
meal cost?
A $1.00
B
$1.20
C$1.30
D $1.40
E $1.60
Answer:
The correct answer is C. The meal costed $1.30.
Step-by-step explanation:
Since the student bought his sandwich for 80 cents, his milk for 20 cents and his cake for 30 cents, to determine the total amount to pay we must add these values. Thus 80 + 20 + 30 gives a total of 130 cents. In this regard, the American monetary system establishes that 100 cents are equal to one dollar, with which the 130 cents would become 1 dollar with 30 cents, that is, $ 1.30.
Suppose that any baseball that has a coefficient of restitution that exceeds 0.625 is considered too lively. Based on the available data, what proportion of the baseballs in the sampled population are too lively
Answer:
hello some parts of your question is missing attached below is the missing parts of the question
Answer : The proportion of the baseballs in the sampled population that are too lively
P = x / n = 18 / 40 = 0.450
Step-by-step explanation:
coefficient of restitution > 0.625
Based on available data the proportion of the baseballs that is in the sampled population that are too lively can be calculated using the values below
n = 40
x = n ( p > 0.625 ) = 18
The proportion of the baseballs in the sampled population that are too lively
P = x / n = 18 / 40 = 0.450
Which point is a solution to the system of inequalities graphed here? y -5 x + 4 A. (1,6) B. (-6,0) C. (0,5) D. (5,0)
Answer:
D
Step-by-step explanation:
this is the only one inside the overlapping inequalitlies
Four buses carrying 198 students from the same school arrive at a football stadium. The buses carry, respectively 90, 33, 25, and 50 students. One of the students is randomly selected. Let X denote the number of students who were on the bus carrying the randomly selected student. One of the four bus drivers is also randomly selected. Let Y denote the number of students on her bus. a) Which of E[X] or E[Y] do you think is larger
Answer:
E[x] is larger
Step-by-step explanation:
I think E[x] is larger because the expected number of students on the bus of a randomly chosen student is larger.
This is because the higher the number of students present in a bus, the higher the probability that a randomly selected student would have been on that bus.
Whereas, for every driver to be chosen, the probability of any bus being chosen is 1/4 irrespective of the number of students in that particular bus
[tex]The sum of two numbers is57 and the difference is3 . What are the numbers?[/tex]
Answer:
The numbers are 27 and 30
Step-by-step explanation:
The two numbers are x and y
x+y = 57
x-y = 3
Add the two equations together to eliminate y
x+y = 57
x-y = 3
---------------
2x = 60
Divide by 2
2x/2 = 60/2
x = 30
x+y = 57
30 + y = 57
y = 57-30
y = 27
The numbers are 27 and 30
The sum of two numbers is 57, and the difference is 3.
Give each number a variable (as you do not know what they are): x , y
Set the equations:
"The sum of two numbers is 57": x + y = 57
"The(re) difference is 3": x - y = 3
Isolate one of the variables in the second equation. Add y to both sides:
x - y (+y) = 3 + y
x = 3 + y
Plug in "3 + y" for x in the first equation:
3 + y + y = 57
Simplify. First, combine like terms:
3 + (y + y) = 57
3 + 2y = 57
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.
*PEMDAS is the order of operation.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 3 from both sides:
2y + 3 = 57
2y + 3 (-3) = 57 (-3)
2y = 57 - 3
2y = 54
Next, divide 2 from both sides:
(2y)/2 = (54)/2
y = 54/2
y = 27
Plug in 27 for y in one of the equations:
x = 3 + y
x = 3 + (27)
x = 3 + 27
x = 30
x = 30 , y = 27 is your answer.
~
Check:
"The sum of two numbers is 57": x + y = 57
30 + 27 = 57
57 = 57 (True)
"The(re) difference is 3": x - y = 3
30 - 27 = 3
3 = 3 (True)
a student took a test that had 60 questions.if he got 45 right,what percentage of the question did he get right?
Answer:
25 %
is your answer
follow me plzzz
Solve for x: 125^(3x+7)=25^(5x−11)
Answer:
x = 43
Step-by-step explanation:
125^(3x+7)=25^(5x−11)
Rewriting the bases as powers of 5
125 = 5^3 and 25 = 5^2
5^3 ^ (3x+7) = 5^2^(5x-11)
We know a^b^c = a^ (b*c)
5^(3 * (3x+7)) = 5^(2*(5x-11))
Distribute
5^(9x+21) = 5^(10x-22)
The bases are the same so the exponents are the same
9x+21 = 10x-22
Subtract 9x from each side
9x+21 -9x = 10x-9x-22
21 = x-22
Add 22 to each side
21+22 = x-22+22
43 = x
Each big square below represents one whole.
Answer:
145%
Step-by-step explanation:
Count up the squares
1 + 45/100
1.45
Change to percent by multiplying by 100
145%
Answer:
145
Step-by-step explanation:
The square on the left is one whole or 1 or 100%.
The square on the right has 45 blocks shaded out of 100 or 45/100 or 45%.
100% + 45% = 145%
Scatter plot show which type of correlation
Answer:
It is a negative correlation
Step-by-step explanation:
As the x value increases the y value decreases. This causes it to be a negative.
Cirlce B is given the equation, (x-2)^2 + (y-9)^2 = 25. What are the coordinates of the center and the length of the radius?
Answer:
The answer to your question is Center = (2, 9) Radius = 5 units
Step-by-step explanation:
Data
(x - 2)² + (y - 9)² = 25
Process
1.- Determine the coordinates of the circle.
The coordinates are the numbers after the x and y just change the signs.
h = 2 and k = 9
Then the coordinates are (2, 9)
2.- The length of the radius is the square root of the number after the equal sign.
radius = [tex]\sqrt{25}[/tex]
radius = 5 units
your marksmanship score are 6 and 10 on two test . if you want average 9 on the tests , waht must your third score be?
Answer:
11
Step-by-step explanation:
To do this you would just multiply 9 by 3 so you get 27 and subtract 6+10 which is 16 from it and then you will get 11 and that is what you will need for your third score
The third score which must be added is 11.
What are average?The average can be calculated by dividing the sum of observations by the number of observations.
Average = Sum of observations/the number of observations
Given; count = 3 (there are three trials)
average = 9
9 = sum / 3
The sum = first score + second score + third score
The sum = 6 + 10 + third score
9 = (6+10+third score)/3
Then multiply both sides by 3 to remove the denominator
27 = 6 + 10 + third score
27 = 16 + third score
Now, subtract 16 from both sides to isolate the third score
11 = third score
Hence, the third score which must be added is 11.
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