Answer:
16 / 81
Step-by-step explanation:
Between digits 0 ,1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
Prob (prime number) = Prime numbers / Total numbers ; Prime numbers = 1,3,5,7. So, Prob = 4 / 9
Prob (composite number) = Composite numbers / Total numbers ; Composite numbers = 2, 4, 6 , 8. So, Prob = 4 / 9
Prob (Prime & Composite) = 4 / 9 x 4 / 9 = 16 / 81
can someone pls help
Answer:
Commutative property
Step-by-step explanation:
Commutative property is usually 2 equations switched around
A rancher has a rectangular sheep pen that is 3 meters long and 2 meters wide. The rancher plans to increase both the length and the width of the pen by x meters so that the new area of the pen will be 20 square meters?
Step-by-step explanation:
20=3x+2x.
3x+2x=5x,
so
5x=20.
20/5=4, so
4=x
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points. What is the expected value of drawing a card in this game on the first turn?
A. 3.7 points B. 6 points C. 6.3 points D. 9.5 points
Answer:
Expected value of drawing a card in this game on the first turn = 6
Step-by-step explanation:
Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.
To find - What is the expected value of drawing a card in this game on the first turn?
Formula used -
Expected value, E[x] = ∑ x p(x)
where p(x) is the probability
Proof -
Total cards in a standard deck = 52
Total face cards = 12 (a jack, a queen, or a king)
Other cards = 40
Now,
Probability of getting a face card = [tex]\frac{12}{52}[/tex]
Probability of getting a other card = [tex]\frac{40}{52}[/tex]
So,
Expected value, E[x] = ∑ x p(x)
= (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])
= [tex]\frac{192}{52} + \frac{120}{52}[/tex]
= [tex]\frac{312}{52}[/tex]
= 6
∴ we get
Expected value of drawing a card in this game on the first turn = 6
So,
The correct option is - B. 6 points
need help asap will give brainlyest
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
Questions 7,11,12,14,15and 16 please thanks
№7
[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]
№11
[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]
№12
[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]
№14
[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]
№15
[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]
№16
[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]
**MARKING BRAINLIEST PLEASE HELP**
Answer:
whats the question
Step-by-step explanation:
hapter 9: Chapter 9 What You Le
Write in slope-intercept form an equation of the line that passes through the given points
(6,8), (3,-9)
8-6x=-28 I need help plzzz
Answer:
6
Step-by-step explanation:
We need to solve the equation .The given equation is ,
→ 8 - 6x = -28
→ -6x = -28-8
→ -6x = -36
→ x = -36/-6
→ x = 6
• Hence the value of x is 6 .When multiplying exponential terms with the same base, which best explains how to simplify the expression?
A.Add the exponents.
C.Subtract the exponents.
B.Multiply the exponents
D.Divide the exponents.
Answer: A
Step-by-step explanation:
Answer:
A. Add the exponents.
Step-by-step explanation:
The rule for same base multiplication is:
[tex] a^m \times a^n = a^{m + n} [/tex]
Add the exponents.
Answer: A. Add the exponents.
double the number plus three times another number is 54. the difference between these two numbers is three. what are the two numbers?
Step-by-step explanation:
54
=2×27
=54
=27×2
=54
=2,27
Please help write a system of equations to represent the scenario
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.
HELP ME NOWWW
The solution is: When the line passes through x = -6, the value of y is: -13.
Here, we have,
given that,
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
we know the equation of straight line is: ;
y = mx + c
here, m = 0.75 and, (x,y) =(2, -7)
so, we get,
c = -7 - 0.75*2 = - 8.5
So, the equation of straight line is:
y = 0.75x - 8.5
now, when the line passes through x = -6,
we get,
y = 0.75* (-6) - 8.5
= - 13
Hence, The solution is: When the line passes through x = -6, the value of y is: -13.
To learn more on Equation 0f Straight-Line click:
brainly.com/question/25124441
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How do i do this, and please step by step i will give brainliest
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
Write 7 17/20 as a decimal
Answer:7.85
Step-by-step explanation:
7 17/20 as a decimal is 7.85
how I got that?
1. 17/20=0.85
2, 7+0.85=7.85
hope this helps!
PLSSSS HELP!!! AND NO LINKS!!
Answer:
A
Step-by-step explanation:
In 2 months, he got 70 stamps, meaning 35 stamps per month. On the first month, he has 55 stamps by the end of the first month, and since every month he gets 35 stamps, He was given 20 Stamps to start with. It is not D since he saves 35 stamps himself every month, meaning from the beggining of that month, he had 20, and by the end had 55, since the question specifies it shows the amont of stamps at the END of the month.
Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
==================================================
Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
----------
Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.francis has 6 chocolate bars. he give one to john and one to chester. he keeps the rest. for himself. what friction of the chocolate. bars did he give away?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
4/6Hope it helps!
Brainliest pls!
Follow me! :)
I can’t figure out the red part please help much appreciated
Answer:
Step-by-step explanation:
(23,0)
23 computers
the they make 0 dollars
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t
y = ?
Answer:
[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationCoordinates (x, y)Calculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (0, 18)
[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]
Step 2: Find General Solution
Use integration
[Derivative] Rewrite: [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply: [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]Step 3: Find Particular Solution
Substitute in point [Function]: [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify: [tex]\displaystyle 18 = 0 + C[/tex]Add: [tex]\displaystyle 18 = C[/tex]Rewrite: [tex]\displaystyle C = 18[/tex]Substitute in C [Function]: [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
PLEASE HELP! Which ones are statistical questions? Mark all that apply. ( no random links )
Answer:
C, D and F
Step-by-step explanation:
You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
A total of 378 vacationers are planning to take an extended
trip down the Oregon trail (to learn about life as an early
settler). IA 21 people can comfortably fit inside a covered
wagon and the trip organizers have borrowed 13 wagons, how
many more will they need.
Leon is buying a bicycle. The regular price of the bicycle is x dollars. The bicycle is on sale for 20% off. He has to pay 5% sales tax on the sale price of the bicycle. To represent his total cost, Leon writes the expression shown 1.05(x-0.2x) . Which expression also represents Leon’s total cost?
A.) 0.79x
B.) 0.84x
C.) 0.85x
D.) 0.21x
Answer:
B.) 0.84x
Step-by-step explanation:
total cost= 1.05(x-0.2x)
= 1.05 (0.8x) = 0.84x
You were making $15 an hour and are now making $18 an hour. What is the percent of change in your hourly wage? This is a 2 part question. The first part you will tell the percent of change "Without the % sign included in your answer" the second part you will determine if it is a "Increase or Decrease"
Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
Find the value of x in the figure and choose the correct result,
NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT C
Answer:
B is the correct answer
Step-by-step explanation:
Subtract area of triangle from total area: 30 - 14 = 16Since the figure is a square, all the sides are equal. Therefore, we need to find the square root of 16: √16 = 4All the sides of the square are 4 cm longTo check, reverse application:4 x 4 = 1616 + 14 = 30Someone pleaseee help I need help ASAP!!!!!! Pleaseee!!!
Answer:
its right because any object can be measure no matter how curve it is
Step-by-step explanation:
En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.
Answer:
La medida del tercer ángulo interno es 85°.
Step-by-step explanation:
Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.
En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:
θ + 40° + 55°= 180°
Resolviendo:
θ + 95°= 180°
θ= 180° - 95°
θ=85°
La medida del tercer ángulo interno es 85°.