Answer:
1/52
Step-by-step explanation:
theres 52 cards and there is only one three of squares so there is a 1/52 chance
Answer:
3/52
Step-by-step explanation:
Find the radius of the sphere with the given volume.
Answer:
see below
Step-by-step explanation: 6 5 17 43
Volume of a sphere = 121.5 π mm³ Find r
Vol Sphere = (4π r³) / 3 solve for r
Vol Sphere × 3 = (4π r³)
(Vol Sphere × 3) / 4π = r³
∛((Vol Sphere × 3) / 4π) = r
∛((121.5 π mm³× 3) / 4π) = r the pi terms cancel
∛((121.5 mm³× 3) / 4) = r
∛((364.5 mm³) / 4) = r
∛((91.125 mm³) ) = r
4.5 = r
Find the surface area of
the prism.
Answer:
[tex]\text{D. }464\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:
Rectangle 1 (top base): [tex]12\cdot 14=168[/tex]
Rectangle 2 (bottom base): [tex]6\cdot 14 = 84[/tex]
Trapezoids 1 and 2 (lateral): [tex]2\cdot 9 \cdot 4=72[/tex]
Rectangles 3 and 4 (lateral): [tex]2\cdot 14\cdot 5=140[/tex]
Thus the total surface area is equal to
[tex]168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}[/tex]
Name two numbers that are 14 units from 2 on the number line
Answer:
12 and 12.5
Step-by-step explanation:
how can i solve the following
2(x + 3) = x - 4
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4
2*x+2*3=x-4
2x+6=x-4
2x-x=-4-6
x=-10
Answer:
[tex]x = - 10[/tex]
Step-by-step explanation:
Let's solve:
[tex]2(x+3)=x−4[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(x+3)=x−4 \\ (2)(x)+(2)(3)=x+−4(Distribute) \\ 2x+6=x+−4 \\ 2x+6=x−4[/tex]
Step 2: Subtract x from both sides.
[tex]2x+6−x=x−4−x \\ x+6=−4[/tex]
Step 3: Subtract 6 from both sides.
[tex]x+6−6=−4−6 \\ x=−10[/tex]
The probability that he or she is a female given that the person is married
Answer:
3 /4
Step-by-step explanation:
The probability that selected person is a female Given she is married :
This is a conditional probability in the form ; A given B
P(A|B) = P(AnB) / P(B)
Let, Female = F ; Married = M
P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
What is the value of
[tex] \frac{ - 2(7 - 15)}{4} [/tex]
○-4
○-2
○2
○4
Answer:
4
Step-by-step explanation:
Based on your math expression:
7-15 = -8
-2*(-8) = 16
16 / 4 = 4
Answer:
4
Step-by-step explanation:
-2(7-15)
=-14+30
=16÷4
=4
Find the
volume of the
composite solid
Answer:
253.5 ft³
Step-by-step explanation:
Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height
Volume of a prism = base area × height
Volume of the pyramid
= [tex] \frac{1}{3} [/tex]× (6×6.5÷2) × 9
= [tex] \frac{1}{3} [/tex]× 19.5 × 9
= 58.5 ft³
Volume of the prism
= (6×6.5÷2) × 10
= 195 ft³
Volume of the solid
= 58.5 + 195
= 253.5 ft³
Answer:
A
Step-by-step explanation:
the base is 19.5 feet squared
(6 * 6.5 / 2)
multiplied by 10 gives you 195 feet cubed for the lower solid
19.5 * 9 / 3
gives you 58.5 feet cubed for the upper solid
just add both volumes together
one half plus one third
Answer:
0.83333333333
Step-by-step explanation:
One-half plus one-third equals 5/6 or 0.8333.
Given that:
Expression: 1/2 + 1/3
To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.
The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:
1/2 × 3/3 = 3/6
1/3 × 2/2 = 2/6
Now that the fractions have a common denominator of 6, add them:
3/6 + 2/6 = 5/6
3/6 + 2/6 = 0.8333
Therefore, one-half plus one-third equals 5/6 or 0.8333.
Learn more about Divisor here:
https://brainly.com/question/30925934
#SPJ6
25 Points!!! Need to be Done Now Please. Priority
Use Newton's method to app a root of the equation 3x^7+2x^4+3=0
Let x1=1 be the initial approximation
Second approx. x2 is?
Third approx x3 is?
9514 1404 393
Answer:
x2 = .72413793x3 = .087249546Step-by-step explanation:
Modern graphing calculators have a derivative function available, so using a calculator to find the next value of x is pretty simple.
The Newton's Method iterator for finding the next approximation to the root (x') is ...
x' = x -f(x)/f'(x) . . . . . where f'(x) is the derivative of f(x).
The attachment shows the first 3 iterations (4 approximations). We observe that the starting point is pretty far from the root, and on the wrong side of some wiggles in the function, so convergence is pretty slow.
The desired approximations are shown above and in the table below.
__
Additional comment
To 12 significant figures, the only real root is −1.10305899649. When the calculator can interactively produce a next guess, you can type the next guess value into the iterator function even as it is showing you the next value. This lets you find the best-precision result as fast as you can type it.
For a calculator like a TI-84, the iterator function can make repeated use of "Ans" as an argument. It usually doesn't take more than 3 or 4 iterations to get a best-precision result, since the number of good decimal places is about doubled on each iteration. (Of course, you have to start with a better approximation than the one given in this problem.)
0,-2,-4,-6,-8,-10 nth term
Answer:
The nth term of this sequence is [tex]a_{n} = -2n + 2[/tex]
Step-by-step explanation:
In this sequence we keep adding -2 on to get the next term. This sequence is called an arithmetic sequence, a sequence that uses addition to keep increasing.
The formula for the nth term of an arithmetic sequence is
[tex]a_{n} = d[/tex] · [tex]n + a_{1} - d[/tex]
[tex]a_{1}[/tex] stands for the first term in the sequence, and [tex]d[/tex] stands for the difference between each number in the sequence.
[tex]a_{1} = 0[/tex] and [tex]d[/tex] = -2, so :
[tex]a_{n} = -2[/tex] · [tex]n + 0 - (-2)\\[/tex]
[tex]a_{n} = -2n + 2[/tex]
Therefore, to find the nth term in this sequence you would use the formula
[tex]a_{n} = -2n + 2[/tex]
a rope of length 18 m is used to form a sector of a circle of radius 3.5 m on a school field. What is the size of the angle of the sector?
Answer:
Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.
Step-by-step explanation:
The perimeter of the sector is equivalent to the length of the rope which is 18 meters
Perimeter of the sector= 2 x radius + length of the arc
But length of arc= radius x central angle in radian
18= 2(3.5)+ 3.5(central angle in radians)
18=7+3.5 (central angle in radians)
18–7=3.5(central angle)
11=3.5(central angle)
central angle =11/3.5=3.14 radians or pi radians
Angle in degrees =pi radians x 360 degrees/2pi radians =pi radians x 180 degrees/pi radians = 180 degrees
Therefore the central angle = 180 degrees because pi radians is half of 2pi radians which is half of 360 degrees
Notes: This sector shape is a semicircle because the central angle is 180 degrees
Check: Length of Arc for semicircle =3.5(pi radians)=11 meters
Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.
Madison and Aidan roll two number cubes. Which of the following rules will make the game fair?
Madison wins if a total of 5 is rolled. Aidan wins if a total of 10 is rolled.
Madison wins if a total of 8 is rolled. Aidan wins if a total of 6 is rolled.
Madison wins if a total of 9 is rolled. Aidan wins if a total of 7 is rolled.
Madison wins if a total of 2 is rolled. Aidan wins if a total of 11 is rolled.
Answer:
If I understand this right I think it would be 8 and 6?
Step-by-step explanation:
Sorry if this is wrong I'm really bad at math, please tell me if this is right.
Kelly collected $15, $15, $25, and $29 in the last four donations. What is the
mode of these donations?
A. $15
B.$20
C. No mode
Step-by-step explanation:
15 may be
HOPE IT HELP U ...
Answer:
A. $15 is the mode.
Step-by-step explanation:
In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.
Can you please answer these im really stuck!
Answer:
(My answers are not rounded!)
Problem A:
Area: 285 cm^2
Perimeter: 70 cm
Problem B:
Area: 30 m^2
Perimeter: 30 m
Problem C:
Area: 28 m^2
Perimeter: 24 m
Problem D:
Lateral Area: 150 in^2
2 (l + w) h
= 2 (11 + 4) 5
= 2(15)5
= 30(5)
= 150
Surface Area: 238 in^2
2 (lw + hl + hw)
2 (11 x 4 + 11 x 5 + 5 x 4)
= 2 ( 44 + 55 + 20)
= 2 (119)
= 238
Volume: 220 in^3
Length x width x height (rectangular prism)
use formula: 11 x 5 x 4 = 220
Problem E:
Area: 379.94 m^2
Formula: πr^2 (circle)
3.14(11^2)
= 3.14(121)
= 379.94
Circumference: 69.08 m
Formula: 2πr
= 2(3.14)11
= 6.28(11)
=69.08
Problem F:
Area: 49 m^2
length x width
7 x 7 = 49
Perimeter: 28 m
2 (l + w)
= 2 (7 + 7)
= 2(14)
= 28
Problem G:
Area: 1,056 cm^2
length x width
48 x 22 = 1,056
Perimeter: 140 cm
2 (l + w)
2 (48 + 22)
2(70)
=140
Problem H:
Lateral Area: 94.2 in^2
2πrh
= 2(3.14) x 1.5(10)
= 6.28 x 15
= 94.2
Surface Area: 108.33 in^2
2πrh+2πr2
=2(3.14) 1.5(10) + 2(3.14) 1.5^2
= 108.33
Volume: 70.65 in^3
πr2h
= 3.14(1.5^2) 10
= 3.14(2.25) 10
= (7.065) 10
= 70.65
Pls help luv y’a thx
Find the area of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HELP ITS URGENT ITS DUE BY 8
Answer:
It is 4
Step-by-step explanation:
1 times 1 for square
3 times 3 then divide by 2 = 3
add together
4
Answer:
a = 5.5 in²
Step-by-step explanation:
square
a = lw
a = 1 * 1
a = 1
Triangle
a = (1/2)bh
a = (1/2) * 3 * 3
a = 4.5
combined figure
a = 1 + 4.5
a = 5.5 in²
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answer:
Square tables used
Step-by-step explanation:
x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit
Answer:
answer in pictures
Step-by-step explanation:
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
Step-by-step explanation:
From Mathematics, we know that absolute values are defined by the following characteristics:
1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]
2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]
Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
help plssssssssssssssssssssssssssssss
Answer:
285 mi
Step-by-step explanation:
We can see that for every gallon, Josh drives 30 more miles. This means that he will drive 30*9.5 mi.
30*9.5 = 285
A cylinder of radius 12cm and height 9cm.
What is the answer to this
Answer:
x = 25
Step-by-step explanation:
3x-15 = 2x+10
x-15 = 10
x = 25
Answer:
x = 25 degree
Step-by-step explanation:
3x - 15 = 2x + 10 (their relation will be alternate interior angles if they [tex]l_{1}[/tex] and [tex]l_{2}[/tex] are parallel)
3x - 2x = 10 + 15
x = 25 degree
A bicycle has a listed price of 593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
the answer is in
Step-by-step explanation:
How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.
Answer:
C
Step-by-step explanation:
pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.
Answer:c i just took the test
Step-by-step explanation:
Find the equation of a sphere if one of its diameters has endpoints: (-14. -3, -6) and (-4, 7, 4) Note that you must move everything to the left hand side of the equation and that we desire the coefficients of the quadratic terms to be 1.
Answer:
[tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]
Step-by-step explanation:
From the question we are told that:
Diameters has endpoints: [tex](-14. -3, -6) & (-4, 7, 4)[/tex]
Generally the equation for Center of The sphere is mathematically given by
[tex]C=(\frac{-14+(-4)}{2},\frac{-3+(7)}{2},\frac{-6+(4)}{2})[/tex]
[tex]C=(9,2,-1)[/tex]
Generally the equation for Radius of the sphere is mathematically given by
[tex]R=\sqrt{(9-2)^2+(2-9)^2+(-1-2)^2}[/tex]
[tex]R=\sqrt{107}[/tex]
Therefore the Equation of the Sphere is
[tex](x-9)^2+(y-2)^2+(z+1)^2=107[/tex]
[tex](x^2-18x+81)+(y^2-4y+4+(z^2+2z+1))=107[/tex]
[tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]
What is the mean of 43,69,48,37,85,57,95,102
The mean of 43,69,48,37,85,57,95,102 is 67
A team of researchers want to measure the distance covered while driving compared to a car's driving speed. Which statement is correct?
a. The speed of the car is a confounding variable.
b. The speed of the car is an explanatory variable.
c. The speed of the car is a response variable.
d. The speed of the car is a dependent variable.
Answer:
b. The speed of the car is an explanatory variable
Step-by-step explanation:
In the scenario above, the variable which the researcher intends to measure is the a distance covered by a car using the speed information available. The measured variable is the dependent variable as it outcome depends on the variable with which it is being measured, this is called the independent or explanatory variable.
Therefore, car speed is the explanatory or independent variable
Distance is the dependent, response or measured variable.
Paulette had two books One of the books weighed 7/8 pound and the other book weighed 2/3 pound If both books were put on sale how much will they weigh together
which statement is true?
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
What is the production matrix?
Answer:
[tex]\left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]
Step-by-step explanation:
Here we want to compute the product of two matrices, one 2x2, and other 2x1.
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right][/tex]
Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]