==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
How to solve?
-6+K
--------- = -9
2
A book with 53 pages numbered 1 to 53 has its pages renumbered in reverse, from 53 to 1. For how many pages do the new page number and old page number share the same units digit?
Answer:
Page number 27 is the one whose order has not changed
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Each page is assigned two numbers. We can generalize the numbers assigned to page x to be the pair x and 54-x for 1 ≤ x ≤ 53. That is, if x = 1, then we can see that page number one is assigned the numbers 1 and 54-1 = 53. It is fairly easy to see that the unit digits of x and 54-x will only be the same if x has a unit digit of 2 or a unit digit of 7. Thus, we simply must count how many such x there are between 1 and 54. Possibilities for x are 2, 7, 12, 17, 22, 27, 32, 37, 42, 47, and 52. Therefore, there are 11 such pages. (Got from AoPS Alcumus Problems)
1. A baseball is thrown directly upward with
an initial velocity of 96 feet per second
from an initial height of 7 feet. The height
of the ball (in feet) after t seconds is given
by the formula h(t) = -16 t + 96t + 7.
a) After how many seconds will the ball
reach its maximum height?
b) What is that maximum height?
Answer:
a) The ball reaches it's maximum height after 3 seconds.
b) The maximum height of the ball is of 151 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height of the ball is modeled by:
[tex]h(t) = -16t^2 + 96t + 7[/tex]
So a quadratic equation with [tex]a = -16, b = 96, c = 7[/tex]
a) After how many seconds will the ball reach its maximum height?
t-value of the vertex. So
[tex]t_{v} = -\frac{96}{2(-16)} = 3[/tex]
The ball reaches it's maximum height after 3 seconds.
b) What is that maximum height?
h of the vertex.
[tex]\Delta = b^2 - 4ac = (96)^2 - 4(-16)(7) = 9664[/tex]
[tex]h_{v} = -\frac{9664}{4(-16)} = 604[/tex]
The maximum height of the ball is of 151 feet.
3s(4+6)^2 is an example of
A. an algebraic equation
B. a numerical expression
c. a numerical equation
D. an algebraic expression
Answer:
the answer for this is D.
Step-by-step explanation:
it is a combination of letters operations and variables.But it is not equated (=) to something that is why it is not an algebraic equation.It is also not a numerical equation or numerical expression because it does not consist of only numbers.
3s(4+6)² is an example of an algebraic expression.
What is an algebraic expression?"An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations."
The given expression is:
3s(4+6)²
The given expression is not an equation as it does not contain an equal sign. It is an expression.
Therefore, it is neither algebraic nor numerical equation.
Now, it contains a variable 's'.
Therefore, it is not a numerical expression.
Hence, the given expression is an algebraic expression.
Learn more about an algebraic expression here: https://brainly.com/question/19245500
#SPJ3
PLEASE HELP ME FIND THE AREA
100 points Which expression represents the following calculation?
Subtract 32 from the product of 48 and 15.
A. 32 – (48 × 15)
B. (48 – 15) × 32
C. (48 × 15) – 32
D. 32 × (48 – 15)
Please quick
Answer:C
Step-by-step explanation: you have to multiply first than subtract because it says subtract 32 FROM the product meaning multiplying comes first than subtract
What is 3/5 × 5 1/3 how do you do this problem
Answer:
3.2
Step-by-step explanation:
3.2 is correct
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the following x-values are roots of the polynomial? Check all that apply.
Answer:
I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.
Step-by-step explanation:
Look at the two 2s in this number:
Which of these statements is true? Choose all that apply.
A
The blue 2 on the left is 200 times the value of the orange 2 on the right.
B
The blue 2 on the left is 100 times the value of the orange 2 on the right.
C
The blue 2 on the left is 10 times the value of the orange 2 on the right.
D
The blue 2 on the left is equivalent to the orange 2 on the right.
E
The orange 2 on the right is 110\frac 1{10}
10
1
of the value of the blue 2 on the left.
A new update is available Refresh
Answer:
The blue 2 on the left is 10 times the value of the orange 2 on the right.
Step-by-step explanation:
Line l is parallel to line e in the figure below.
Parallel lines e and l are crossed by lines m and n to form 2 triangles. At the intersection of parallel line e with line n is angle q, and with line m is angle 3. Angle 2 is the third angle. At the intersection of parallel line l and m is 6, at line n is 4. The third angle is 5.
Which statements about the figure are true? Check all that apply.
Vertical angles prove that Angle 1 is congruent to angle 4.
Vertical angles prove that Angle 2 is congruent to angle 5.
The triangles are similar because corresponding sides are congruent.
The triangles are similar because alternate interior angles are congruent.
In the similar triangles, Angle 3 and Angle 6 are alternate interior angles.
In the similar triangles, Angle 3 and Angle 4 are corresponding angles.
Answer:
A B D
Step-by-step explanation:
correct.
Answer:
abd edge 2022
Step-by-step explanation:
PLEASE PLEASE HELP IM RLLY STRUGGLING HERE
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answer:
Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.
Step-by-step explanation: Create a factorable polynomial with a GCF of 6. GCF is 6. ...
12x+18x + 60 is one of the equivalent form of 6(2x+3x+10) To get another equivalent form we combine like terms. ...
30x + 60 is the equivalent form of 6(2x+3x+10)
Step-by-step explanation:
hope it's helpful to you, please mark me brainliest
Find the vertex form of the quadratic function by completing the square
F(x) = x^2 -24x
Answer: the vertex is (12,−144)
Step-by-step explanation:
Which value in this data set is an outlier?
4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7
Answer:
1
Step-by-step explanation:
Hope this helps!
Have a lovely day!
(sorry if its wrong i'm bad at math)
Answer:
#1 is the outlier
Step-by-step explanation:
What is the slope of y = - 4X -3
Answer:
the slope is -4
Step-by-step explanation:
the y intercept is (0,-3)
what is 4x^2-1/ (x+4) (2x-1) simplified
Answer:
:)
Step-by-step explanation:
[tex]\frac{4x^2 - 1}{(x+4)(2x-1)} = \frac{(2x)^2 - (1)^2}{(x+4)(2x-1)}[/tex]
[tex]=\frac{(2x-1)(2x+1)}{(x+4)(2x-1)}\\\\=\frac{2x+1}{x+4}[/tex]
Answer:
i don't know
Step-by-step explanation:
it is very hard
sorry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2. Panthers' points during the basketball season
82 95 85 80 78 82 86 96 73 68 91
80 90 86 72 87
Answer:
[tex]\bar x = 83.1875[/tex]
Step-by-step explanation:
Required
Determine the arithmetic mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{82 +95 +85 +80 +78 +82 +86 +96 +73 +68 +91+ 80+ 90+ 86 +72 +87}{16}[/tex]
[tex]\bar x = \frac{1331}{16}[/tex]
[tex]\bar x = 83.1875[/tex]
What is the slope of the line with points (-3, 2) and (-3, -2)?
Answer:
-4
Step-by-step explanation:
(-3 , 2) = (x1 , y1)
(-3 , -2) = (x2 , y2)
slope (m) = y2 - y1/x2 - x1
=-2-2/-3-(-3)
=-4/-3+3
=-4/0
=-4
Answer:
No slope.
Step-by-step explanation:
We want to find the slope of the line with the points (-3, 2) and (-3, -2).
To find the slope of any line, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can let (-3, 2) be (x₁, y₁) and (-3, -2) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{(-2)-(2)}{(-3)-(-3)}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{-2-2}{-3+3}=\frac{-4}{0}[/tex]
Anything divided by zero is undefined.
Therefore, the slope does not exist. The line has no slope.
If you plot the two points and graph the line, you can see that it is a vertical line. If you recall, vertical lines have no slopes.
Pls can you help with number 5 and 6
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer: its 9
Step-by-step explanation: just took the test lol
If f(x) = 2x2 + 2 and g(x) = x2 - 1, find (f - g)(x)I
A. 3x2 + 1
B. x + 1
C. x2 + 3
D. 3x2 + 3
9514 1404 393
Answer:
C. x^2 + 3
Step-by-step explanation:
Substitute for f(x) and g(x) and simplify.
(f -g)(x) = f(x) -g(x)
(f -g)(x) = (2x^2 +2) -(x^2 -1) = 2x^2 +2 -x^2 +1
(f -g)(x) = x^2 +3
13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
Which equation represents a line that passes through (-2, 4) and has a slope of 2/3
If the news gives a prediction of a 75% chance of rain tomorrow, what is the probability that it will not rain tomorrow?
Plz ASAP with explanation please
Answer:
25%
Step-by-step explanation:
There is always a total of 100% probability, no matter how many options there are. In this case, it either rains or it doesn't. If there is a 75% chance of rain, the chance of no rain must combine with 75% to make 100%. 100% - 75% = 25%.
It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score that is less than the average score for students who wait to study. What are the hypotheses for this test if early studiers are group 1 and procrastinators are group 2
Answer:
H0 : μ1 = μ2
H0 : μ1 < μ2
Step-by-step explanation:
Given :
Early studiers, group 1, mean μ1
Late studiers, group 2 ; mean, μ2
To test the claim that students who study earlier have an average score that is less than the average score for students
The null hypothesis ; there is no difference in average score
H0 : μ1 = μ2
Alternative hypothesis is early studiers means is less than average score of late studiers
H0 : μ1 < μ2
Will Mark Brainlest. find the empherical probabilty of
(a).getting 3
(b).getting less than 4
(c).getting 5
Step-by-step explanation:
P= number of favorable outcomes / Number of possible outcomes
(a) Getting 3
P(3)
=18/100
=9/50
=0.18
(b) Getting less than 4
P(1) +P(2) +P(3)
=20/100+15/100+18/100
=(20+15+18)/100
=53/100
=0.53
(c) Getting 5
P(5)
=14/100
=0.14
Brainliest~please
2 x 3.6 find the product
Answer:
7.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 x 3.6 = 7.2
Write the rate and unit rate for each phrase given below.
1) 80 inches of snow over 10 days
Rate :
Unit Rate :
2) 3 comic books for 3 dollars
Rate :
Unit Rate :
3) 5 pounds of potatoes cost $10
Rate :
Unit Rate :
Help me find the missing number # 9,10 & 12 please thank you
7(5f-3n)-8 use n=3 and f=7
Answer:
174
Step-by-step explanation:
plug all of the variables in first
7(5(f) - 3(n)) - 8
7(35 - 9) - 8
7(26) - 8
182 - 8
174
Answer:
174
Step-by-step explanation:
7(5f-3n)-8
n=3 f=7
7(5*7 - 3*3) -8
Parentheses first
Multiply inside
7(35 - 9) -8
Subtract inside the parentheses
7(26) -8
Multiply
182-8
Subtract
174
17
Select the correct answer.
Which is a measure of the efficiency of an investment?
ОА.
return rate
OB
return on investment
OC efficiency coefficient
Reset
Next
Answer:
B = Return of Investment