Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154
GIVING OUT BRAINLIEST TO FIRST ✅CORRECT✅ ANSWER
Answer:
1,-5 and -1,-3
Step-by-step explanation:
If he saves $50 a week , about how many months will it take to have enough to buy the motorcycle
Answer:
Step-by-step explanation:
There is not enough info.
But you would take-
price of the motorcycle=50(x) x is the number of months. I can't give the exact amount without the price of the bike.
is 9pi > 27 a true inequality?
help me pls thank you
Answer:
discrete
Step-by-step explanation:
This graph is discrete. A discrete graph has separate values, which are represented by multiple unconnected points. In continuous graphs, the values are all connected to each other. If this graph was continuous, then we would see a line rather than separate dots. The graph can also not be neither continuous nor discreet because it passes the vertical line test, meaning that it is a function.
Hope this helps :)
Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i
Answer:
The distance between given points is: √20
Step-by-step explanation:
The given numbers are complex numbers. In order to find the distance between two numbers in complex plain, their difference is taken and then modulus is applied.
Given numbers are:
[tex]z_1 = 2-3i\\z_2 =4+i[/tex]
The difference will be calculated as:
[tex]z_2-z_1 = (4+i)-(2-3i)\\= 4+i-2+3i\\=2+4i[/tex]
The distance will be:
[tex]d = \sqrt{(2)^2+(4)^2}\\= \sqrt{4+16}\\=\sqrt{20}[/tex]
Hence,
The distance between given points is: √20
A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the length of the rectangle.
Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
In a recent year, the mean number of strokes per hole for a famous golfer was approximately 3.9.(a) Find the variance and standard deviation using the fact that the variance of a Poisson distribution is σ2=μ.(b) How likely is this golfer to play an 18-hole round and have more than 72 strokes?
Answer:
Variance = 3.9
Standard deviation = 1.975
p(x > 72) = 0.38482
Step-by-step explanation:
Given that :
Mean number (μ) of strokes per hole is approximately 3.9
For a poisson distribution :
σ² = μ
Hence,
Variance (σ²) = μ = 3.9
The standard deviation σ = √(σ²)
σ = √3.9 = 1.9748417
Poisson distribution relation :
p( x = x) = (λ^x * e^-λ) / x!
For an 18-hole round :
λ = 18 * 3.9 = 70.2
Using the poisson distribution calculator ; where λ = 70.2 ; x = 72
p(x > 72) = 0.38482
What is 5-4 in the quadratic
Answer:
1
Step-by-step explanation:
The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
Solve the proportion 6/y=9/24
Answer:
It would be 16!
Step-by-step explanation:
Step 1 : 6 times 24 is 144
Step 2 : 144/9
Answer 16!
Answer:
ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif
PLS HELP. URGENT
Serena and Derek have 270 stickers in all. Serena has 25% more stickers than Derek. How many stickers does Derek have? (Type out your work and answer)
find the slope please :)
Answer:
3/4
Step-by-step explanation:
up 3 over 4
what is 0.125 in a percent
PLS SOLVE!!!!! THANK YOU!!!!!
-2/3 x 3/4
Please help!
Answer:
-1/2
Step-by-step explanation:
Answer:
-9/8.
Step-by-step explanation:
-3/2 * 3/4
= -3*3 / 2*4
= -9/8.
To find the quotient 2/5 divided 1/4,
A. Multiply 5/2 by 4
B. Multiply 2/5 by 1/4
C. Multiply 5/2 by 4
D. Multiply 5/2 by 4
HELP ME PLEASEEEE 20 POINTS AND BRAINLY HAAAALP
Answer:
None of the choices are correct.
Step-by-step explanation:
To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction.
2/5 divided by 1/4 = 2/5 times 4/1 = 2/5 times 4
Correct answer: Multiply 2/5 by 4
Answer: None of the answers are correct.
Answer:
None
Step-by-step explanation:
represent the given condition using a single variable, x.
The length and width of a rectangle whose length is 15 centimeters more than its width.
The width of the rectangle is ____.
Answer:
Please check the explanation.
Step-by-step explanation:
Let suppose [tex]x[/tex] be the width of the rectangle.
As the length is 15 centimeters more than its width i.e.
[tex]length = x+15[/tex]
Therefore, the width of the rectangle will be:
[tex]x = length - 15[/tex]
CHECK BY EXAMPLE
Let suppose if the length of the rectangle is 20 cm.
Then the width of the rectangle will be:
x = length - 15
= 20 - 15
= 5 cm
Therefore, the width of the rectangle will be 5 cm.
Find the difference: 3/10 - 1/6
Answer:
2/15
Step-by-step explanation:
10 = 2 * 5
6 = 2 * 3
LCM of 10 , 6 = 2 * 3 * 5 = 30
[tex]\frac{3}{10}-\frac{1}{6}=\frac{3*3}{10*3} - \frac{1*5}{6*5}[/tex]
[tex]= \frac{9}{30} - \frac{5}{30}\\\\=\frac{9-5}{30}\\\\=\frac{4}{30}\\\\=\frac{2}{15}[/tex]
A store sees 138 customers in 8 hours. What is the unit rate (in customers per hour)?
Answer:
Step-by-step explanation:
138/8 = 17.25
Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?
Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
1. Here is a number line. Write the two missing numbers in the boxes.
0
2
Answer:
The box on the left is 0.4 and the box on the right is 1.8
What's 84 divided by 10 1/5? Thanks.
Answer:
8.23529412
Step-by-step explanation:
Do long division to get the answer as simple as that!
Answer:
168
Step-by-step explanation: (10 1 ÷5) ÷ 84
Factor the expression completely. 5 - 45x^5
Answer:
5(9x-5)
Step-by-step explanation:
A rancher has a square cow pen with side length x. He decides to change the shape
of the pen while still using the same amount of fencing materials. The equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
of the pen and its area (in square feet).
a. If 300 represents the area of the new cow pen, what do the expressions
(x + 10) and (x - 10) each represent?
b. Find x, the original side length (in feet) of the square pen. Show your reasoning.
Answer:
a) x+ 10 is the length of the ranch
x - 10 is the width of the ranch
b) 20 feet
Step-by-step explanation:
Area of the square ranch = L²
L is the side length of the ranch
If the equation
(x + 10)(x - 10) = 300 represents the relationship of the new side lengths (in feet)
Then we can find x where;
x + 10 is the new length of the ranch
x - 10 is the new width of the ranch
Open the parenthesis
equation
(x + 10)(x - 10) = 300
x²²-10x + 10x - 100 = 300
x² - 100 = 300
x² = 300+100
x² = 400
x = √400
x = 20
Hence the original length of the square pen is 20 feet
The values (x + 10) and (x - 10) represents the length and width of the new pen.
The value of x, the original length of the pen is 20 cm
How to find the side of a square?The pen is a square. It was later reconstructed to form the following expression.
(x + 10)(x - 10) = 300
where
area = 300 feet squaredTherefore,
(x + 10)(x - 10) = 300
x² - 10x + 10x - 100 = 300
x² - 100 = 300
x² = 300 + 100
x² = 400
x = √400
x = 20 ft
Therefore, the original side length of the square pen is 20 ft.
learn more on square here: https://brainly.com/question/23821172
#SPJ5
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.
Answer: 1. the students 2. the final exams 3. is- domain- one- range brainliest plzz??
Which of the following is a rational number? A.102 B.144 C.21 D.29
Answer:
I'm pretty sure they're all rational numbers since they're all whole numbers.
Each of the points $A, B, C, D, E,$ and $F$ in the figure below represents a different digit from 1 to 6. Each of the five lines shown passes through some of these points. The digits along each line are added to produce five sums, one for each line. The total of the five sums is 47. What is the digit represented by $B$ ?
Answer:
(E) 5Step-by-step explanation:
Refer to picture
Calculating sums, we get a result of:
2A + 3B + 2C + 2D + 2E + 2E = B + 2(sum of all digits) = 47Sum of all digits is:
1 + 2 + 3 +4 + 5 + 6 = 1/2*6*(1 + 6) = 21Considering this in the equation above, we get:
B + 2*21 = 47B = 47 - 42B = 5Correct answer is (E) 5
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
14.4 there sorry for the wait
Please help me, thanks!
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
All changes saved
4. Calculate the federal income taxes. In 1862, the federal income tax was 3 percent on incomes between $600 and $10,000 per year and 5 percent on incomes
over $10,000 per year. In 1862, you made $750. How much did you pay in income taxes?
O $37.50
O $225
O $22.50
$2,250
Answer:
$22.50
Step-by-step explanation:
My bad lol, I posted the answer under the wrong thing.