Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
When a respondent indicates that he is 25 years old when he is actually 35 years old, he is contributing to:
nonresponse error.
response error.
sampling error.
nonsampling error.
Answer:
Response Error
Step-by-step explanation:
describe the transformation of the function f(x)=1/2x-2 that makes the slope two and the Y intercept -8
Answer:
Reflect over the axis of y=x-4
Step-by-step explanation:
f(x)=1/2x-2
g(x)=2x-8
axis of reflection: y=x-4
(This is my best guess)
what is the difference between bullying and conflict
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
Tell which equation you would choose to solve for one of the variables. Explain.
x + 4y = 30
x – 2y=0
Answer:
step below
Step-by-step explanation:
x + 4y = 30
x – 2y=0
x= 2y
2y + 4y = 30
6y = 30
y = 5
x = 10
c+6<-20 solve the inequality
Answer:
c < -26
Step-by-step explanation:
c+6<-20
Subtract 6 from each side
c+6-6<-20-6
c < -26
Step-by-step explanation:
c+6<-20
c < -20-6
c < -26
or
c ∈ 《-∞ ,-26》
Simplify the expression:
Question 20 options:
A)
B)
2
C)
4
D)
A boy throws a ball into the air. The equation h=−16t^2+23t+4 models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown. How long is the ball in the air?
Answer:
0.72secs
Step-by-step explanation:
Given the height of the ball in air modeled by the equation:
h=−16t²+23t+4
Required
Total time it spent in the air
To get this we need to calculate its time at the maximum height
At the maximum height,
v = dh/dt = 0
-32t + 23 = 0
-32t = -23
t = 23/32
t = 0.72secs
Hence the total time it spend in the air will be 0.72secs
The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.
Given :
A boy throws a ball into the air. The equation [tex]\rm h = -16t^2+23t+4[/tex] models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.
Differentiate the given function of height with respect to 't' in order to determine the value of 't'.
[tex]\rm h = -16t^2+23t+4[/tex]
[tex]\rm \dfrac{dh}{dt}=-32t+23[/tex]
Now, equate the above differential equation to zero.
-32t + 23 = 0
23 = 32t
t = 0.72 seconds
So, the total time for which the ball is in the air is 0.72 seconds.
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Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.Who earns more money per hour? How much more?
Answer:
Danielle earns $1.20 more than Mackenzie (per hour)
Step-by-step explanation:
To find out how much money per hour each person earns, you would divide the earinings by the number of hours;
Danielle: $36.80/4 = $9.20 per hour
MackKenzie: $50.40/6 = $8.40 per hour
To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;
9.40 - 8.20 = $1.20
Thus, Danielle earns $1.20 more than Mackenzie per hour.
An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x . Another side is 12 more than times two the length of the bottom of the triangle. The last side is 7 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
Answer:
P = 4x + 19Step-by-step explanation:
Given triangle with sides:
a = xb = 2x + 12c = x + 7Perimeter is:
P = a + b + c ⇒P = x + 2x + 12 + x + 7 = 4x + 19 ⇒P = 4x + 19what is the gcf of 8x³ and 6x²
Answer:
The GCF is 2²
Step-by-step explanation:
The factored expression would be 2²(4x+3) .
A rectangle has an area of 6 1/2 square inches. It's length is 2 1/4 inches. What is the width
6 1/2 / 2 1/4
13/2 x 4/9= 52/18
2 16/18
2 8/9
W + 7 < 4 you don’t have to show work
what is the difference between the LCM and the hcf of 24,36 and 40
Answer:HELLO!
Step-by-step explanation:
Hii friend,
Prime factorisation of 24 = 2 × 2 × 3 × 2
Prime factorisation of 36 = 2×2 × 3 × 3
Prime factorisation of 40 = 2 × 2 × 2× 5
HCF of 24 , 36 and 40 = 2 × 2 = 4
LCM of 24 , 36 and 40 = 2 × 2 ×2 × 3 × 3 × 5 = 360
Is Sue´s answer correct? if not, why?
A cable company charges $70 per month for cable service to existing customers.
a. Write a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
50 points to answer it. I need help it's the last question of my homework.
Answer:
a: y=70x
b: y=70x+100
c: They are parallel to each other, with equation b's line being 100 dollars above equation a.
Step-by-step explanation:
They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.
c)
Step-by-step explanation:
everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today
tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by
Answer:
The answert is "$0.007 / bottle".
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]\to R(x) =7.5x^{0.7}[/tex]
The average income:
[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]
The change rate on the average revenue:
[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]
when 81 bottles were produced , then the rate of change in average revenue
[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]
The average income is decreasing at rate = $0.007 / bottle
what is 4855/200 simplified
Answer:
The answer is 2427.5
Step-by-step explanation:
The fraction consists of two numbers and a fraction bar: 4,855/200
The number above the bar is called numerator: 4,855
The number below the bar is called denominator: 200
The fraction bar means that the two numbers are dividing themselves.
To get fraction's value divide the numerator by the denominator:
Value = 4,855 ÷ 200
To calculate the greatest common factor, GCF:
1. Build the prime factorizations of the numerator and denominator.
2. Multiply all the common prime factors, by the lowest exponents.
Factor both the numerator and denominator, break them down to prime factors:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
4,855 = 5 × 971;
4,855 is a composite number;
In exponential notation:
200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;
200 is a composite number;
Debra tutors history. For each hour that she tutors, she earns 50 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
Write an equation relating E to H . Then use this equation to find Debra's earnings after tutoring for 19 hours.
What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT
Answer:
C. 1
Step-by-step explanation:
Use the formula to find slope:
(y2-y1)/(x2-x1)
Plug in the numbers you have.
(9 - 2)/(3 - -4)
7/7
1
Slope of the line shown below is option C. 1
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a line.
Slope must be positive since the line is drawn in the positive direction.
Consider two points along the line.
Consider (-4, 2) and (3, 9).
Slope = change in y coordinates / change in x coordinates
= (9 - 2) / (3 - -4)
= 7 / 7
= 1
Hence the slope is 1.
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The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
The slope from point O to point A is fraction 1 over 5 times the slope of the line from point A to point B.
The slope from point O to point A is five times the slope of the line from point A to point B.
It is fraction 1 over 5 throughout the line.
It is 5 throughout the line.
Answer: The correct answer is B, the slope is -1/2.
Step-by-step explanation: I hope you have a blessed day. ;)
An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].
The slope of the line:
Given points:
Point A ⇒ (4,2)
Point B ⇒ (6,3)
calculate the slope value:
slope formula:
[tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]
Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].
Find out more about the slope here:
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What is the solution set for this inequality 55 > 7cm + 6
Answer:
Answer:
First, we will substitute x for cm, and then graph the equation to find the solution
Step-by-step explanation:
Therefore, the answer is (7,0)
Malik has two pencils. He has four blue pencils and 2 red pencils. What is the radio of red pencils and blue pencils?
Answer: 2:4 or 1:2
You could also write it in a fraction 1/2
Answer:
2:4
Step-by-step explanation:
We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.
# of red pencils : # of blue pencils
2 red pencils : 4 blue pencils
2:4
I hope this helps!
help me , my project is do soon .
Answer:
whats the question
Step-by-step explanation:
What is the solution to this equation?
X-8 = 15
Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23
Answer:
D.) X=23
Step-by-step explanation:
cause you add 8 to each side then simplify and you get 23
Pete plans to put silver Colored ribbon around a circular logo. About how many inches of silver colored ribbon will he need?
To determine the length of silver colored ribbon that Pete will need to put around a circular logo, we need to calculate the circumference of the logo.
The circumference of a circle can be found using the formula C = πd, where C represents the circumference and d represents the diameter of the circle. However, we are not given the diameter of the logo, so we cannot determine the exact length of the ribbon needed.
Assuming Pete knows the diameter or radius of the logo, he can calculate the circumference using the formula mentioned above. Once the circumference is determined, Pete will know how many inches of silver colored ribbon he will need. It is important to ensure that Pete has a little extra ribbon in case of any measurement errors or mistakes during the ribbon placement.
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Instructions: Find the angle measures given the figure is a rhombus.
Please Help!
Answer:
30
Step-by-step explanation:
since this is rhombus 1 2 3 4 must be equal
|NP|=|MN|
so 180-120=60
60/2=30
Answer: All four angles (angle1,2,3,4) are 30 degrees each
===========================================================
Explanation:
A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).
Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.
This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.
Let's find the missing angle
M+N+P = 180 ... angles of a triangle add to 180
M+120+M = 180 ... plug in N = 120, replace P with M
2M+120 = 180
2M = 180-120 ... subtracting 120 from both sides
2M = 60
M = 60/2 .... dividing both sides by 2
M = 30
So N is also 30 degrees
------------------------
We've found that both angle 1 and angle 3 are 30 degrees each.
Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.
Therefore, we can say
angle 1 = angle 4 = 30 degrees
angle 2 = angle 3 = 30 degrees
HELP PLEASE ANSWER FAST!!!!! WILL MARK BRAINLYEST!!!!!!!!
The graph of f(x) = (0.5% is replaced by the graph of g(x) = (0.5)* - k. If g(x) is obtained by shifting f(x) down by 5 units, then what is the value of k?
A. K= 1/5
B. k=5
C. k=-1/5
D. k= -5
Answer:
b is the answer
Step-by-step explanation:
the graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k
if g(x) is obtained by shifting f(x) down by 5 units,
then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5
so k = 5 units
hope this helps
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
The options are <,>,=
Answer:
<
Step-by-step explanation:
Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. How old is sage? please show an explanation.
Answer:
Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.
Answer:
Sage is 17 years young.
Step-by-step explanation:
A score is referring to 20 of something.
It says Sage is 3 years younger than a score.
20-3=17
I hope this is what the question means, otherwise, I'm clueless.
