Answer:
1) P(A) = 0.20
2) P(B) = 0.80
3) P(A and B) = 0.15
4) P(A or B) = 0.85
Step-by-step explanation:
Total number of customers = 20
Customers with enough cash = 4
Customers with credit card = 16
Customers with enough cash and credit card = 3
Part 1) Customer has enough cash
Probability is defined as the ratio of favorable outcomes to total number of outcomes. Here the favorable outcome will be the customers with enough cash which are 4 in number and total number of outcomes will be the total number of customers which is 20.
Therefore, the probability that a customer has enough cash will be:
[tex]P(A)=\frac{4}{20}=\frac{1}{5}=0.20[/tex]
Part 2) Customer with a credit card
Using the same formula we used in previous part. However, in this case the number of favorable outcomes will be the number of customers with a credit card i.e. 16
Therefore, the probability that a customer has a credit card will be:
[tex]P(B)=\frac{16}{20} =\frac{4}{5} =0.8[/tex]
Part 3) Customer has enough cash and a credit card
Using the same formula once again. However, in this case the number of favorable outcomes will be the customers with enough cash and a credit card which is 3.
Therefore, the probability that a customer has enough cash and a credit card will be:
[tex]P(A \cup B)=\frac{3}{20}=0.15[/tex]
Part 4) Customer has enough Cash or a Credit Card
We need to find union of two events i.e. P(A or B). The union of two events is defined as:
P(A or B) = P(A) + P(B) - P(A and B)
We calculated all these values in the previous parts. Substituting the values in above formula, we get:
P(A or B) = 0.2 + 0.8 - 0.15
P(A or B) = 0.85
Therefore, the probability that a customer has enough cash or a credit card is 0.85
please help me I really need to finish this asap!!
7.5 for question 9
The angle one is 44 + 4x =180
16 for question 13
30 for question 15
Plz help asap!!! Will give brainliest!!!
For a fund raising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal
a: $3.20
b: $117
c: $320
d: $480
Answer:
C $320
Step-by-step explanation:
write equations for the two possible choices
situation 1:
y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales
** note i use 0.5 instead of 50, since 50 would represent 5000%
y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales
now set the two equations equal to each other
20 + 0.5x = 100 + 0.25x
isolate x by subtracting 0.25x and 20 from each side
20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20
0.25x = 80
divide both sides by 0.25
[tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{80}{0.25}[/tex]
x = 320
What does the x represent?
a.diameter
b. central angle
c. arc
what is x to the power of two over three in parenthesis to the power of five over two
Answer:
[tex]x^{\frac{5}{3} }[/tex]
Step-by-step explanation:
You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]
A parallelogram has an area of 448 square centimeters and a base length of 16 centimeters what is the height of the parallelogram?
14cm
16cm
12cm
28cm
Answer:
The answer is 28 cm.
Step-by-step explanation:
The formula for the height of a parallelogram is area divided by length, so 448/16 equals 28.
Answer:
28cm
Step-by-step explanation:
Area of a parallelogram = base x height
Given area = 448cm^2
Base = 16 cm
Therefore,
448 = 16 x h
Divide both sides by 16
448/16 = 16/16 x h
28 = h
h = 28cm
Evaluate this function: For f(x) = -2x + 9, find f(5)
f(5) is -1
Step-by-step explanation:
Step 1: Given f(x) = -2x + 9, find f(5)f(5) = -2 × 5 + 9 = -10 + 9 = -1
Answer:
The answer is -1
Step-by-step explanation:
F(x)=-2x+9
When x=5
Substitute x=5 in the above equation
F(5)=-2(5)+9
F(5)=-10+9
F(5)=-1
What are the solutions to the quadratic equation 3(x – 4)2 = 75?
x= -9 and x = 1
x= -5 and x = 5
x = -4 and x = 4
x= -1 and x = 9
Answer:
x = -1 and x = 9.
Step-by-step explanation:
3(x – 4)^2 = 75
(x - 4)^2 = 75/3 = 25
Taking square roots of both sides:
x - 4 = +/- 5
x = -5+4 and 5 + 4
x = -1 and 9.
Answer:
d
Step-by-step explanation:
test
What number is 0.01 less than 24
3 less than the quotient of a p and 7
A.P/7 - 3
B.7P-3
C.3- 7P
D.3- P/7
plz help! if correct you will get brainly
Answer:
I think the answer is A. P/7 - 3
Step-by-step explanation:
Given b(x) = [X+41, what is b(-10)?
– 10
-6
6
14
Option C: 6 is the value of [tex]b(-10)[/tex]
Explanation:
The given expression is [tex]b(x)=|x+4|[/tex]
We need to determine the value of [tex]b(-10)[/tex]
To find the value of [tex]b(-10)[/tex], let us substitute [tex]x=-10[/tex] in the given expression.
Thus, substituting [tex]x=-10[/tex] in the expression, we have,
[tex]b(-10)=|-10+4|[/tex]
Adding the terms, we get,
[tex]b(-10)=|-6|[/tex]
Since, we know the absolute rule that [tex]|-a|=a[/tex] and the simplified expression is of the form [tex]|-a|[/tex] , let us apply the absolute rule in the simplified expression.
Thus, we have,
[tex]b(-10)=6[/tex]
Thus, the value of [tex]b(-10)[/tex] is 6.
Hence, Option C is the correct answer.
The bus charged $4.50 for a ride plus $1.25 per mile. How many complete miles could Frank travel for $20?
Answer: Frank could travel about 4 miles
Step-by-step explanation:
Hey There!
The answer you are looking for is;
12 Miles!
Explanation:
First you subtract $4.50 from $20.
= $15.50
Then every mile after that is subtracting $1.25
We can divide $15.50 by $1.25
= 12.4
Since the question is asking how many COMPLETE miles Frank could travel, you do not include the decimal.
= 12 miles.
Hope I helped! Please rate 5 Stars & Mark Brainliest!
In ΔABC, if AB = 14 and BC = 9, AC may be equal to
Answer:
AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Step-by-step explanation:
There is a fact in any triangle:
The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides
If the lengths of the three sides of a triangle are a , b and c, then
a - b < c < a + bb - c < a < b + ca - c < b < a + cIn Δ ABC:
→ (BC) - (AC) < AB < (BC) + (AC)
→ (AB) - (AC) < BC < (AB) + (AC)
→ (AB) - (BC) < AC < (AB) + (BC)
∵ AB = 14 units
∵ BC = 9 units
- Find the sum and difference of them
∵ AB - BC = 14 - 9
∴ AB - BC = 5
∵ AB + BC = 14 + 9
∴ AB + BC = 23
- That means the length of AC could be any integer greater
than 5 and smaller than 23
∴ 5 < AC < 23
AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
Answer:
Answer = 13
Step-by-step explanation:
(a) How would you characterize the relationship between the hours spent on homework and the test scores (Positive or Negative, Linear or Non-Linear)? Explain.
(b) Paul used the function y= 8x + 40 to model the situation. What score does the model predict for 4 hours of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?
Please don’t answer if you are guessing. Answer if you really know the answer. And if you don’t understand the three questions, answer the ones you do know.
Answer:
a) Positive linear
b) 72
c) Marks scored when no time is spend on homework.
Step-by-step explanation:
a) relationship between the hours spent on homework and the test scores
As the time spent on homework increases the test score increases.
Similarly if less time is spent on homework, there would be a decrease in test score.
The two variables are directly related.
Thus, there relationship can be expressed as a positive linear relationship.
b) The model function
[tex]y= 8x + 40[/tex]
where y is the test score and x is the time spent on homework in hours.
Score predicted by model when x = 4
[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]
Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.
c) Interpretation of 40
When x = 0
[tex]y(0)= 8(0) + 40 = 40[/tex]
Interpretation:
Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.
A set of ordered pairs is called a _______. A. domain B. function C. range D. relation
A set of ordered pair is called a relation.
The correct option is D). Relation.
What is relation?A collection of ordered pairs having one item from each set makes up a relation between two sets.
Any collection of ordered pairs is a relation.
The domain is the collection of all initial components of ordered pairs.
The range is the collection of all second components.
Tables, collections, equations with two variables, and graphs can all be used to depict relations.
And the function is a special type of relation.
Therefore, the blank word is relation.
To learn more about the relation;
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Final answer:
A set of ordered pairs is called a relation. Relations include all possible mappings of pairs, while a function is a specific type of relation where each input is paired with only one output. The correct answer is option (D).
Explanation:
A set of ordered pairs is called a relation. For example, if we have two sets A and B represented by ordered pairs, the domain of set A would be the set of all the first elements, and the range of set A would be the set of all the second elements.
It's important to note that a function is a specific type of relation where each element of the domain is associated with a unique element of the range, which means that each input (or argument) is mapped to exactly one output (or value).
1. Find the kinetic energy of a ball moving at 45 m/s with a mass of 0.18kg.
Answer:
182.25 J
Step-by-step explanation:
KE = (0.5)*m*v^2
KE = (0.5)*(0.18 kg)*(45 m/s)^2
KE = 182.25 Joules
Hope this helps!
Final answer:
The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.
Explanation:
The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.
KE = (1/2) imes 0.18 kg imes (45 m/s)²
= 0.09 kg imes 2025 (m/s)²
= 182.25 joules
Therefore, the kinetic energy of the ball is 182.25 joules.
rewrite 2y = -1x - 8 in y = mx + b form. SHOW STEPS
Answer:
y = [tex]-\frac{1}{2} x[/tex] - 4
Step-by-step explanation:
Simply divide both sides by 2.
2y = -1x - 8
[tex]\frac{2y}{2} =\frac{-1x-8}{2}[/tex]
y = [tex]-\frac{1}{2}x - \frac{8}{2}[/tex]
y = [tex]-\frac{1}{2} x[/tex] - 4
Answer:y=-x/2 - 4
Check the picture for explanation
Step-by-step explanation:
A 5-foot piece of copper wire costs $24.60. What is the price per inch?
Answer: 41 cents
Step-by-step explanation:
$24.6/60inches=.41 cents
5*12=60in
Bowser bought mushrooms
at the farmer's market. He
paid $4.32 for 6 pounds of
mushrooms. At that rate,
how much should he pay for
5 pounds of mushrooms?
The amount he should pay for 5 pounds of mushrooms is $3.6
Step-by-step explanation:
Given data is that,
Bowser bought 6 pounds of mushrooms at a rate of $4.32
At the same rate, determining that how much he should pay for 5 pounds of mushrooms is given by the rate formula.
Rate = total cost / total number of mushrooms
Now, Rate = 4.32 / 6
Let us assume, the cost for 5 pounds as 'x' dollars.
Therefore, Rate = x / 5
To find the value of x, compare both the rates :
⇒ 4.32 / 6 = x / 5
bringing 5 to the left side of the equation,
⇒ (4.32×5) / 6 = x
⇒ x = 21.6 / 6
⇒ x = 3.6 dollars
The amount he should pay for 5 pounds of mushrooms is $3.6
Which equation can be used to find the volume of this solid?
Answer:
Option A, V = 3 * 5 * 4
Step-by-step explanation:
Volume of a Cube formula: V = w*h*l
Step 1: Plug in
V = whl
V = (5)(4)(3)
Answer: Option A, V = 3 * 5 * 4
Great a word problem for x+2=3x-8
Answer:
x plus 2 equals three x minus eight.
solve the following system of equations 2x-5y=6 and -2x+10y=-16
Answer:
The answer is
y=-2
x=-2
Step-by-step explanation:
You use combination to solve it;
2x-5y=6 minus 2x+10y=-16
5y=-10
y=-2
x=-2
plug in the solution into the equation to verify your answer
Evaluate the expression when a = 4 and b=6.
b+7a
Answer:
34
Step-by-step explanation:
b+7a
Let a=4 and b=6
6+7(4)
6+28
34
Step-by-step answer:
6 + 7 [tex]\times[/tex] 4
6 + 28
34
Will y’all help me with num 14
Answer:
19,200 ft
Step-by-step explanation:
what is the area of this star?
Answer:
9.45cm^2
Step-by-step explanation:
1.5*1.5=2.25
A=BH/2
2.4*1.5/2=1.8
1.8*4=7.2
7.2+2.25=9.45
Answer:
Step-by-step explanation:
2.4 x 1.5/2 to get the area of the triangle
so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do
1.8 x 4= 7.2
and the middle part is 1.5 x 1.5 which is 2.25
and do 7.2 plus 2.25 which is 9.45cm
The price of a bike went down by $150. The new price is $475. Which expression shows the price of the bike before the sale?
Answer:
475+150=Price before sale
Step-by-step explanation:
Answer:
$475+$150 =$525. 525 is the total price before the sale
Vhich graph represents the function f(x) = x2 + 5?
Answer:
I would say Graph 2 because if its showing f(x)=x2+5
there are no negatives in this equation, so I think it is graph 2
The graph of the function is attached to the solution.
The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,
Since, there is no negative sign so, the parabola will be opened up,
Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.
So, the graph will be an upward opened parabola with its vertex at (0, 5)
Learn more about parabola, click;
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In the diagram, ABC = AWRS. What is the perimeter of
AWRS?
10 units
11 units
12 units
13 units
There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.
Answer:
the answer is c
Step-by-step explanation:
I just did this
Eva is saving money for a trip. She is able to save $52 a week. Her friend from Japan, Ryu,is also saving money. Ryu is able to save 5500 yen(Japanese money) each week. If $4 is equal to about 440 yen, who is saving at a greater rate?
Answer:
Eva
Step-by-step explanation:
If 4 dollar = 440 yen
Therefore, 1 dollar = (440 ÷ 4) yen
1 dollar = 110 yen
As Eva is saving 52 dollars per week, and Ryu is saving 5,500 yen per week, we have to convert dollar into yen to find who has saved more.
1 dollar = 110 yen
52 dollar = (52 × 110) = 5720 yen
It means Eva is saving 52 dollar which is equivalent to 5,700 yens. It is more than Ryu's saving account.
I need help on these 2 questions. Algebra 1
Answer:
7. is G
8. f(4)=-120
Step-by-step explanation:
7. les do f(0)=4 since its the easiest
F. f(0)=0.4(0+5)(0-2)
0.4*-2*5=-4 NOT IT. the ans. is +
G. f(0)=-0.4(0+5)(0-2)
-0.4*-2*5=4 YESSSSSS
H. f(0)=-0.4(0-5)(0+2)
-0.4*2*-5=4 YESSSSSS
J. f(0)=0.4(0-5)(0+2)
0.4*2*-5=-4 NOT ITTTT
so G n H
Put both equation=0
G. 0=-0.4(x+5)(x-2)
x=-5,2 YASSSS this is the ans.
What is the answer .08(7.97+v)=0.833
Answer: V=-6.9325 or V=-6.93
Step-by-step explanation:
0.8(7.97+v)=0.833
6.376+0.8v=0.833
-6.379 -6.379
0.8v=-5.546
divide both sides by 0.8 to get v by itself
v=-6.9325
rounded up can get you
v= -6.93
please give brainliest!