Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.
What is the formula to find the probability of an event?The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.
a. The probability that a piece selected at random is a white rook
=2/32=1/16
Therefore, the probability that a piece selected at random is a white rook is 1/16.
b. Number of ways can you choose one white piece and one black
piece=16×16=256
Each white piece can go with a black piece 16 times and the same the other way.
Hence, 256 ways can you choose one white piece and one black piece.
c. nPr=P(4,3)=4!/3=24/3=8 ways.
Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
This is a permutation.
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
To learn more about the permutation visit:
https://brainly.com/question/1216161.
#SPJ2
What is x plsssss help
Answer:
x = 6 (brainliest..?)
Step-by-step explanation:
x² = 4(4 + 5)
x² = 36
x = 6
A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?
An inflatable pool has sprung a leak. You place a 12-ounce cup under the leak and find that it fills
up in 50 seconds. How many gallons per hour is the swimming pool losing?
Answer:
6.75 gallons lost in 1 hour.
Step-by-step explanation:
1 US gallon = 128 ounces.
12 ounces takes 50 seconds.
x ounces takes 3600 seconds (which is 1 hour) Cross multiply
12 * 3600 = 50 x
43200 = 50 x Divide by 50
43200 / 50 = x
864 oz = x
So in 1 hour 864 ounces were lost.
Now there are 128 ounces in a gallon
1 gallon /128 ounces = x / 864 Cross multiply
864 * 1 / 128 = x
6.75 = x
There are 6.75 gallons in 1 hour
can u plz help me it’s for a test!! PLZ ANSWER 1 &2
Answer:
Step-by-step explanation:
number one is 10
number two is (c) they have the same median
Answer:
C/B
Step-by-step explanation:
test 1: 90 - 50 = 40
test 2: 100 - 40 = 60
60 - 40 = 20
test 1 is 60 and test 2 is 80
An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER
C. $6010, I plugged the information into a simple compound interest calculator.
Can somebody please help me with this whoever answers first gets a thanks and no rush but can you please be quick
Answer:
Bookstore to pet store: Down 6 units
Bookstore to Ice cream shop: Down 1 unit, 5 units to the left
Ice cream shop to pet store: Down 5 units, 5 units to the right
Sorry if this is wrong the image is a little blurry
In the
accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC?
Answer:
72°
Step-by-step explanation:
4+2+6+8=20
360÷20=18
AC=4x18=72
Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?
Answer:
Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates
Step-by-step explanation:
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Enter your answer in the box.
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
The z-score of a beetle with a length of 2.38 centimeters is 2.4
Step-by-step explanation:
As we know,
z = (x - µ)/σ
x is the length of the beetle species.
µ is the mean length
σ is the standard deviation
Substituting the given values in above equation, we get
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
Find the values of x and y to make the equation true.
-2x + 61 = (-24y)i - 14
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A) 0.1135
B) 0.2450
C) 0.9423
D) 0.9932
Answer:
this is the answer!!
Step-by-step explanation:
Find the probability that a randomly selected point within the circle falls in the red shaded area (square). Round to the nearest tenth of a percent.
Answer:
probability of selecting the square is 63.7% approximately
Step-by-step explanation:
First of all, the probability of the point of choice is within the red square can be obtained with this formula
probability = expected outcome / total number of possible outcomes
In this case, we are not dealing with discrete values which can be counted. instead, we are dealing with areas.
We are to go about this problem by finding the area of the internal square and dividing it by the area of the circle.
Area of the square
Area of the square = [tex]l^2[/tex]
where length = [tex]4\sqrt{2}[/tex]
Area = [tex](4\sqrt{2}) ^2 = 32cm^2[/tex]
Area of the circle
Area of the circle = [tex]\pi r^2[/tex]
area of circle =[tex]\pi \times 4^2 =50.26cm^2[/tex]
Probablity of selecting the square =
32/50.26 = 0.6366
To express this as a percentage, we multiply our answer by 100.
This will give us 0.6366 X 100 = 63.7% approximately
Helpppppp pleaseeeeeeee
Answer:
16 2/3
Step-by-step explanation:
Susan is 5 years older than her sister Lucy. The sum of the square of Lucy's age and twice the
age of Susan's is 58. How old is Susan?
Answer:
do you mean how old is lucy if so then lucy is 53 i think
f(x)= x+3
h(x)= x^2+4
Find (f•h)(x)
Answer:
x³+3x²+4x+12
Step-by-step explanation:
you are going to write both equations and distribute. if there are like terms, combine them and then put it order.
(x + 3) × (x² + 4)
x³ + 4x + 3x² + 12
when putting in order, you want the highest power to the left and then the lowest power to the right.
so
x³+3x²+4x+12
A welder is making a metal sphere. The diameter will be 130 inches. What is the surface area of the metal sphere? Use 3.14 for π and round to the nearest tenth.
Answer:
53092.92 square inches
Step-by-step explanation:
Surface Area of a Sphere = 4πr2
Radius = ½D = 130÷2 = 65
4 × 3.14 × 65² = 53092.92
14. Classify the figure below. Identify how many faces, vertices, and edges.
Answer:
5 faces
8 edges
5 vertices
Can someone please help me I will give u brilliant
Answer:15
Step-by-step explanation:
Answer: The value of the median is 15.
Step-by-step explanation:
HELP WILL MARK BRAINLIEST ANSWERRRRRR IF GOTTEN RIGHT
For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z
9514 1404 393
Answer:
z = -7
Step-by-step explanation:
The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.
Already, we observe that the ratios of x- and y-coefficients are -4:
-12/3 = -4
8/-2 = -4
The equations will be dependent when the constants have that same ratio:
8z/14 = -4 . . . . desired ratio
8z = -56 . . . . . multiply by 14
z = -7 . . . . makes the equations true for all real numbers
_____
Comment on the question
The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.
However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".
Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.
Answer:
z = -7 is the answer.Step-by-step explanation:
#CarryOnLearningfind the arthmetic and the geometric means of 4 and 9
Answer:
Step-by-step explanation:
first term (a) = 4
last term (b) = 9
Arithmetic mean (AM)
= ( a + b) / 2
= ( 4 + 9 ) / 2
= 13/2
= 6.5
Geometric mean (GM)
= √a *b
=√4 * 9
=√36
= 6
hope it helps :)
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
Round 4.57438 to the nearest tenths place
4.57438 to the nearest tenths place is 5.
PLEASEEEEEEE HELPPP I only have a bit of time for this :(
Answer:
1. 18.84 2. 172.2 3.219.8
Step-by-step explanation:
1. formula: v=(r*pi)*h
v=(6^2*3.14)*4
v=(36*3.14)*4
v=113.04*4
v=452.16
2. formula: v=(r*pi)*h
because you were given the diameter for number 2 you would have to do 10/2 to find the radius. so 5
now plug it into you're equation.
v=(5^2*3.14)*11
v=(25*3.14)*11
v=78.5*11
v=863.5
3. formula: v=(r*pi)*h
v=(7^2*3.14)*10
v=(49*3.14)*10
v=153.86*10
v=153.86
Help fast pls. I will surely mark you brainliest. Answer step by step
Sohail, Amar, raja, and Mira go to a restaurant to have diner, Sohail pays 1/5 of the bills, Amar pays 2/5 of it and the balance is shared equally between raja and Mira. Who pays the maximum amount?
Answer:
Amar pays the most
Step-by-step explanation:
Amar pays the most, because Mira and Raja split the bill, so they onyl need to pay 1/5 each. However, Amar needs to pay 2/5 which is the most.
Hope this helps!
Use the information and table to answer the following questions.
A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.
Answer:
1. B) Age and type of movie preferred are independent
2.A). Age and type of movie preferred are dependent.
Step-by-step explanation:
1. State the Null Hypothesis
B) Age and type of movie preferred are independent
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
This is chi square independence test therefore we will test the independence of the two factors age and the type of movie preferred.
The null hypothesis is formulated as
Age and type of movie preferred are independent
against the claim
Age and type of movie preferred are dependent.
On Thursday, a restaurant serves iced tea to 65 of its 245 customers. What percent of the customer ordered iced tea? Round to the nearest whole percent. *
Which condition would prove △JKL ~ △XYZ
The Answer Is KL/YZ=8
have an amazing day <3
Answer:
D
Step-by-step explanation:
JL/XZ = 8
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
