There are 4 number 4s in a deck. If a deck has 52 card, then
\(P(4s)=\frac{4}{52}=\frac{1}{13}\)Since we will not replace the card, we have 51 cards in a deck, then the probability to get a 5 is
\(P(5s)=\frac{4}{51}\)Thern, the answers are P(4s)= 0.0769 and P(5s) = 0.0784
In Bella's grade, there are 65 students. Currently, 40% of them are enrolled in health. How many students are enrolled in health?
I need help QUICK
Answer:
26 students
Step-by-step explanation:
If you move the decimal place of 40 to the left twice, you get 0.40 and once you get that, multiply it by 65. And that equals 26.
The question is basically asking what is 40% of 65
And that equal 26 students.
Please vote brainliest or rate if helpful! Have a nice day :)
how am i supposed to prove that theyre collinear
Answer:
They are collinear if they are on the same line
Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x
On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )
What is quadratic equation?A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.
public static double solve(double a, double b, double c, boolean flag)
{ double d = Math.sqrt(b*b - 4*a*c); if(flag)
{ return (-b + d) / (2*a); }
else { return (-b - d) / (2*a); } }
To know more about quadratic equation visit:
https://brainly.com/question/17177510
#SPJ4
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
Learn more about using a two-factor factorial design for determining the degree of freedom here:
https://brainly.com/question/14292694
#SPJ1
Goals Scored (per game)
There is a [DROP DOWN 1] association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between [DROPDOWN 2] goals scored and [DROPDOWN
3] number of wins. Causation (DROPDOWN 4] be established because their relationship was not in a controlled setting.
There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5 number of wins. Causation cannot be established because their relationship was not in a controlled setting.
What is experiment about?When if a relationship between two variables is said to be negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.
Therefore, even though the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.
Learn more about data points from
https://brainly.com/question/30588709
#SPJ1
You are installing a rectangular pool in your backyard. The pool measures 24 feet by 16 feet. You also would like to build a concrete walkway around the pool. You have allocated 560 ft? of your backyard for both the pool and the walkway around it. How wide should you make the walkway?
Answer:
The walkway should be 2ft wide.
Step-by-step explanation:
Let x be the width of the walkway surrounding the pool.
The area including the pool is 560ft².
Let's solve for the value of x.
The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.
A = lw
560 = (24 + 2x)(16 + 2x)
560 = 384 + 48x + 32x + 4x²
4x² + 80x + 384 - 560 = 0
4x² + 80x - 176 = 0
Divide the whole equation by 4
x² + 20x - 44 = 0
(x + 22)(x -2) = 0
x = -22; x = 2
Since we are dealing with dimensions, take the one with the positive value.
x = 2ft
Let's check
560ft² = (24ft + 2x)(16ft + 2x)
560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))
560ft² = (24ft + 4ft)(16ft + 4ft)
560ft² = (28ft)(20ft)
560ft² = 560ft² ✔
7 : 15=63:____
Find the missing term in each pair of equivalent ratios
Answer:
Step-by-step explanation:
7/15=63/x
7x/15=63
7x=15(63)
7x=945
x=135
So the missing term is 135.
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
Write a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8)
a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)
What is a cubic function?A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.
A cubic function has 3 roots.
Let, assume α, β and γ.
So, f(x) = K (x - α). (x - β). (x - γ)
f(x) is defined by values of x where f(x) = 0
0 = K (x - α). (x - β). (x - γ)
x = α, β, γ
The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)
Now, f(x) = K (x - (-3). (x - 1). (x - 4)
f(x) = K (x + 3) (x - 1) (x - 4)
Next, f(x) passes through point (0,8) which means:
f(0) = 8
so, 8 = K (0 + 3) (0 - 1) (0 - 4)
or, k = - 2
Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)
To know more about cubic function refer to:
https://brainly.com/question/20896994
#SPJ1
For which conditions is p V q false?
p is true and q is false.
p is true and q is true.
p is false and q is true.
Opis false and q is false.
Answer:
opis is false and q is false
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Which graph represents an exponential function?
Answer:
The first one
Step-by-step explanation:
As x increases, the value of y approaches infinity. As x decreases, the value of y approaches 0.
Hope it helps
6 x 0.5 Explain throughly on how to solve thisUse words if you need to, please do it step-by-step as I would like you to clarify in how to solve
Given the expression:
\(6\times0.5\)We have one decimal number in total.
To solve it:
• First, remove the decimal point:
\(6\times5\)• Then, solve the multiplication:
\(6\times5=30\)• Finally, add ,one, decimal number to the final expression:
\(6\times0.5=3.0\)ANSWER
3.0
mays pay increased from $12.50 to $13.25 an hr. what is the increase in her hourly pay?
Let:
Op = Original pay
Ip = Increased pay
I = Increase in her hourly pay
so:
\(\begin{gathered} I=Op-Ip \\ where \\ I=13.25-12.50 \\ I=0.75 \end{gathered}\)Answer:
$0.75
Help help help help math math math math help
Answer:
14
Step-by-step explanation:
because both sides need to be equal so if u plug in the 14 in x it gives you the same number for both sides 107.
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
For similar question on Principal amount.
https://brainly.com/question/29430095
#SPJ11
A class is playing a game where they add or subtract numbers to come up with another target number. Which of the following can James do to 23 to turn it into 0? Select all that are true.
A. Add 23
B. Subtract 23
C. Add -23
D. Subtract (-23)
Right answer gets Brainliest!
Answer:
b and c
Step-by-step explanation: If you subtract 23 from 23/ 23-23=0 and 23-(-23)= 0. Hope this helps!
James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A class is playing a game where they add or subtract numbers to come up with another target number.
James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.
⇒ 23 + (-23)
⇒ 23 - 23
⇒ 0
⇒ 23 - 23
⇒ 0
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
HELLLLP WILL GIVE BRANLIEST PLZZZZZZZZZZZZZZZZZZZ HURRY
The figures at the bottom, from left to rights, are complementary, supplementary and neither.
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.
What does Property of Equality means?The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.
As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.
Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"
Read more about Property of Equality
brainly.com/question/26160231
#SPJ1
Find the area of the circle. Round your answer to the nearest hundredth.
Answer:
176.71^2 in
Step-by-step explanation:
yeh
"What are the coordinates of your reflected triangle A’B’C’?"
Please help! Thank you!
A' - (-1,4)
B' - (-1,8)
C' - (-5,4)
hope this helps
Can you guys tell me if the 6 graphs are functions or not ?
Answer:
in order from left to right : NO, NO, YES, NO, YES, NO
Step-by-step explanation:
here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.
i hope this made sense... have a good day !
San works at Staples and is ordering pens for the September school rush.3 packs if pens cost$4.50. 30 packs of pens cost $45.How much would 75 packs if pens cost?
What is the solution to the equation 40= 2.5y?
Answer:
y = 16
Step-by-step explanation:
Given
40 = 2.5y ( isolate y by dividing both sides by 2.5 )
16 = y
The price of cappuccinos is $5.00 each. The price of pistachios is $1.00 per pound. If Curtiss has income of $32.00 and purchases 5.00 cappuccinos, how many pounds of pistachios can he buy
Answer:
curtiss can buy 7 pounds of pistachios
Step-by-step explanation:
5 cappuccinos x $5 = 25, 32 - 25=7
The number of pounds of pistachios will be 7 pounds.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of cappuccinos is $5.00 each. The cost of pistachios is $1.00 per pound. Assuming Curtiss has paid $32.00 and buys 5.00 cappuccinos.
Let 'x' be the number of pounds of pistachios. Then the correct option is given as,
1x + 5 × 5 = 32
x + 25 = 32
x = 32 - 25
x = 7 pounds
The number of pounds of pistachios will be 7 pounds.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
For more such questions on cylinder
https://brainly.com/question/28247116
#SPJ8
In July 2005, the journal Annals of Internal Medicine published a report on the reliability of HIV testing. Results of a large study suggested that among people with HIV, 99.7% of tests conducted were correctly positive, while for people without HIV, 98.5% of tests conducted were correctly negative. A clinic serving an at-risk population offers free HIV testing, believing that 15% of the patients may actually carry HIV. What's the probability that a patient testing negative is truly free of HIV?
The probability that a patient with a negative result is truly HIV-free is 0.999.
How to find the probability that the negative result is correct?To find the probability that confirms that the result of the HIV test is negative, we must take into account the information provided in the information and perform the following mathematical operation.
The probability that No HIV and test positive is:
P = 0.85 * 0.985
P = 0.8372
The probability that HIV and test negative is:
P = 0.15 * 0.003
P = 0.00045
The probability that No HIV and negative test of HIV and negative test is:
P = 0.00045 + 0.8372
P = 0.8377
P = (NOT HIV / Test)
P = 0.8372 / 0.8377
P = 0.999
According to the above, the probability that a patient with a negative result is truly HIV-free is 0.999.
Learn more about probability in: https://brainly.com/question/11234923
#SPJ1
(ASAP!!!) According to a government website, 42% of US citizens are Democrats, 34% are Republicans, and 24% are Independents. A local municipality would like to know if the distribution of political party affiliation among its citizens differs from the nationwide percentages. A random sample of 500 citizens of the municipality is selected. In the sample, 200 were Democrats, 187 were Republicans, and 113 were Independents. What is the value of the chi-square test statistic and P-value?
Find the chi-square table here.
A. χ2 = 2.48, P-value is between 0.10 and 0.15
B. χ2 = 2.48, P-value is greater than 0.25
C. χ2 = 2.58, P-value is between 0.10 and 0.15
D. χ2 = 2.58, P-value is greater than 0.25
The correct answer is: χ2 = 2.48, P-value is between 0.10 and 0.15.
First, let's calculate the expected frequencies for each political party affiliation in the sample:
Expected frequency for Democrats: 0.42 x 500 = 210
Expected frequency for Republicans: 0.34 x 500 = 170
Expected frequency for Independents: 0.24 x 500 = 120
Next, we can set up the chi-square test:
χ² = Σ((O - E)² / E)
Where:
O = observed frequency
E = expected frequency
Let's calculate the chi-square test statistic:
χ² = ((200-210)² / 210) + ((187-170)² / 170) + ((113-120)² / 120)
Calculating the above expression gives us:
χ² = (10² / 210) + (17² / 170) + (7² / 120)
χ^2 = 100/210 + 289/170 + 49/120
χ^2 ≈ 0.476 + 1.700 + 0.408
χ^2 ≈ 2.584
The calculated chi-square test statistic is 2.584.
Since we have 3 political party affiliations, the degrees of freedom would be 3 - 1 = 2.
Looking at the chi-square distribution table with 2 degrees of freedom, we find that the P-value for a chi-square test statistic of 2.584 is between 0.10 and 0.15.
Learn more about Chi Square Test here:
https://brainly.com/question/30760432
#SPJ1
Use synthetic division to find the result ! Help
Using synthetic division, we find (see attached)
\(\dfrac{3x^4+11x^3-24x^2-15x+25}{x+5} = \boxed{3x^3-4x^2-4x+5}\)
What is -4,3 rotated 90° clockwise?
Answer:
4,-3
Step-by-step explanation:
div g gbc sti ri us fila ru has slap
the population of a city was 10000 in 2010 the population increases at an annual rate of 4% per year is the growth model function that represents the population of the city linear
No, the growth model function that represents the population of the city is not linear in this case.
A linear function has a constant rate of change, meaning that the population would increase by the same amount each year. However, in this scenario, the population is increasing at an annual rate of 4% per year. This means that the population growth is exponential, not linear.
To model the population growth over time, you would need to use an exponential function, such as:
P(t) = P₀ * (1 + r)^t
Where:
P(t) represents the population at time t,
P₀ represents the initial population (in this case, 10000),
r represents the annual growth rate (4% or 0.04),
and t represents the number of years.
Using this exponential function, you can calculate the population at any given year based on the initial population and the growth rate.
Learn more about compound interest here:
https://brainly.com/question/3989769
#SPJ8