Answer:
33
Step-by-step explanation:
please answer these questions
Step-by-step explanation:
you need to multiple first by second
Solve the system of equations y=x^2-3x+2
y=-9x-3
Write a fraction that is less than 1/3 using 1 as the numerator. EXPLAIN why you chose that answer.
A fraction which is less than 1/3 is 1/6
How to find quantities which are less than a given quantity?We can lessen a quantity if we take out some positive part from it.
Thus, suppose if it is given that there are 'T' things, then a quantity which is less than 'T' would be 'T - S'
where S is something positive.
(there can be infinite number of values less than a specific finite value, and similarly, there can be infinite number of values more than a specific finite value).
For the given case, the fraction given is 1/3
Let a fraction which is less than it be denoted by F
Then,
[tex]F < 1/3\\F = \dfrac{1}{3} - S[/tex]
Let S = 1/6
Then, we get value of F as:
[tex]F = \dfrac{1}{3}- \dfrac{1}{6} = \dfrac{2 - 1}{6} = \dfrac{1}{6}\\[/tex]
Thus, 1/6 is a fraction which is less than the given fraction 1/3
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For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and ¯F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and ¯R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responses
P(F)=0.35
P(F and R)=
P(F and ¯R)=
P(¯R|F)=
P(R|¯F)=0.60
P(¯F and R)=
P(¯F and ¯R)=
P(¯F)=
What is the probability that a randomly chosen moviegoer attended the romantic comedy?
Answer:
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]P(F^{-}) =0.65[/tex]
Step-by-step explanation:
The variables have been defined in the question as:
[tex]F = Female\ Moviegoer[/tex]
[tex]F^{'} = Male\ Moviegoer[/tex]
[tex]R = Romantic\ Comedy[/tex]
[tex]R^{'} = War\ File[/tex]
Also, we have the following given parameters:
[tex]P(F) = 0.35[/tex]
[tex]P(F^{-}) =0.65[/tex]
[tex]P(R) =0.60[/tex]
[tex]P(R^{-}) = 0.40[/tex]
The solution is as follows:
[tex]a.\ P(F\ and\ R)[/tex]
[tex]P(F\ and\ R) = P(F) * P(R)[/tex]
Substitute values for P(F) and P(R)
[tex]P(F\ and\ R) = 0.35 * 0.60[/tex]
[tex]P(F\ and\ R) = 0.21[/tex]
[tex]b.\ P(F\ and\ R^{-})[/tex]
[tex]P(F\ and\ R^{-}) = P(F) * P(R^{-})[/tex]
Substitute values for P(F) and P(R-)
[tex]P(F\ and\ R^{-}) = 0.35 * 0.40[/tex]
[tex]P(F\ and\ R^{-}) = 0.14[/tex]
[tex]c.\ P(R^{-}|F)[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-}\ and\ F)}{P(F)}[/tex]
[tex]P(R^{-}|F)=\frac{P(R^{-})\ *\ P(F)}{P(F)}[/tex]
Substitute values for P(F) and P(R-)
[tex]P(R^{-}|F)=\frac{0.40 * 0.35}{0.35}[/tex]
[tex]P(R^{-}|F)= 0.40[/tex]
This implies that both events are independent
[tex]d.\ P(F^{-} and\ R)[/tex]
[tex]P(F^{-} and\ R) = P(F^{-}) * P(R)[/tex]
Substitute values for P(F-) and P(R)
[tex]P(F^{-} and\ R) = 0.65 * 0.60[/tex]
[tex]P(F^{-} and\ R) = 0.39[/tex]
[tex]e.\ P(F^{-}\ and\ R^{-})[/tex]
[tex]P(F^{-}\ and\ R^{-}) =P(F^{-}) * P(R^{-})[/tex]
Substitute values for P(F-) and P(R-)
[tex]P(F^{-}\ and\ R^{-}) =0.65 * 0.40[/tex]
[tex]P(F^{-}\ and\ R^{-}) =0.26[/tex]
[tex]f.\ P(F^{-})[/tex]
[tex]P(F^{-}) =0.65[/tex] --- Given
Perform the indicated operation.
1 1/7x 2 4/5
6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?
Answer:
1/16 tons of wood per deck
Step-by-step explanation:
6/15 ÷ 8
6/15 × 1/8 (Keep Change Flip)
6/96 = 1/16
A survey showed that 72% of
teens bought new athletic shoes for the
new school year. Based on that survey,
how many teens in a group of 225 bought
new athletic shoes for the new school
year?
Answer:
162
Step-by-step explanation:
225 x 0.72 = 162
a jeweler makes a necklace using red and blue beads. The jeweler has 24 red beads and 36 blue beads. What is the greatest number of identical bracelets the jeweler if all beads are used?
Answer:
60
Step-by-step explanation:
24+36
20+30=50
4+6=10
50+10=60
_______________________
Answer:
C.
Step-by-step explanation:
Look at the table of values below.
х
у
1
-1
2
-3
3
-5
4
-7
Which equation is represented by the table?
O A. y=1 - 2x
OB. y=-x-1
OC. y = x - 2
OD. y=2x-1
The equation is represented by the table is y= 4x - 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the table
x y
1 3
-1 -5
2 4
-3 -7
Now, using the above table we can write the equation
(y - 3) = (-5-3)/ (-1-1) (x- 1)
y - 3 = (-8) / (-2) (x -1)
y - 3 = 4 (x - 1)
y - 3 = 4x - 4
y = 4x - 4 +3
y= 4x - 1
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What is 8x-7-2x-2 simplified
Answer:
6x-9
Step-by-step explanation:
Answer:
6x - 9
hope this helped!! :D
question below thanks
Answer:
x = 11
Step-by-step explanation:
Based on the two secants intersecting theorem, thus, we have:
(x + 5)*5 = (38 + 2)2
5x + 25 = (40)2
5x + 25 = 80
5x = 80 - 25 (subtraction property of equality)
5x = 55
Divide both sides by 5
x = 11
The measures of the angels of a triangle are show. In the figure below solve for x
Answer:
54
Step-by-step explanation:
90+36= 126
180-126= 54
Sophia had 63¢ until she spent 5 nickels. How much money does Sophia have now?
Answer:
38 cents
Step-by-step explanation:
5x5=25
63-25=38
I'm walking and walking
Answer:
Chicken feed
Step-by-step explanation:
Chicken feed: .70
Goat feed: .80
Dog feed: .75
Pig feed: .79
Answer:
Goat Feed
Step-by-step explanation:
Chicken- 1.40
Goat- 1.25
Dog- 1.33
Pig- 1.265823
(8.03 LC)
Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 of
his friends. How many rocks did each of Aaron's friends get?
If r represents the number of rocks each friend will get, which equation could be used to
solve the problem?
Answer:
9, 54=6r
Step-by-step explanation:
54/6=9 rocks
54=6r
The question is below the screen
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12
HELP ME FIND THE Y-INTERCEPT
Answer:
0
Step-by-step explanation:
Define curvature and state it's formula
Answer:
I am not sure what the formula is, so I apologize for that.
The curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane.
Step-by-step explanation:
Zoe creates a spreadsheet to make simple interest calculations. The user input values for the principal, rate, and time in years in row 2. Write each formula. Remember to include the = symbol
Answer:
a. For A2 to compute the interest.
b. For B2 to compute the principal.
c. For C2 to compute the interest rate.
d. For D2 to compute time in years, given the interest, rate, and the principal.
e. For E2 to compute the time in months, given the time in years.
a) A2 = B2 x C2 x D2
b) B2 = A2/ (C2 x D2)
c) C2 = A2/ (B2 x D2)
d) B2 = A2/ (C2 x D2)
e) E2 = 12 x D2
I know they only asked for principle, I just added for imformation lol
can anyone please help. this is my last question!!!!
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
Alternate solution
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."
Help me out please don’t pass this question help me !
Answer:
20L + 45 = 225
Step-by-step explanation:
20 is the slope making it constant
45 is a one time fee making it a y intercept
equaling 225
Answer:
20L+45=225
Step-by-step explanation:
20 represents how much she paid for each lesson, we don't know how many lessons she paid for so we use the variable L and multiply it by 20. She only had to pay the registration fee once so 45. Unknown lessons taken by 20 + the one-time fee of 45 equals 225
Hope this helps!
Write the following in standard form: eight and twelve thousandths.
Answer:
8.012
Step-by-step explanation:
standard : 8.012
written: eight and twelve thousandths.
-16.3=w+6.1 first to answer will earn brainiest!
Answer:
w = - 22.4
Step-by-step explanation:
w + 6.1 = -16.3
**subtract 6.1 on both sides to isolate w:
w = -16.3 - 6.1
w = -22.4
Answer:i wont answer it because the other guy is right
Step-by-step explanation:
Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?
Answer:
These are the statements. I need help to
Step-by-step explanation:
She is 1.5 times less likely to draw a vowel than a consonant.
She is 1.5 times more likely to draw a vowel than a consonant.
She is twice as likely to draw a consonant as a vowel.
Drawing a vowel and a consonant are equal likely.
8. The number of T-shirt sales for a new online store increases by a factor of 3
each month. The function f(x) = 3x
represents the number of T-shirts sold in
month x.
a. What is f(5)?
b. When does the store sell 81 T-shirts?
Answer:
A= 243
B=4
Its because its multiplying itself 5 times for A. And doing it 4 times for B
I think this is correct (I am only in Middle School...)
Step-by-step explanation:
(a) The number of T-shirts sold in the 5th month is 15. (b) The store sells 81 T-shirts in the 27th month.
a. To find f(5), we need to plug x = 5 into the function f(x) = 3x:
f(5) = 3 × 5 = 15
So, the number of T-shirts sold in the 5th month is 15.
b. To find when the store sells 81 T-shirts, we need to solve the equation f(x) = 81:
f(x) = 3x = 81
Now, solve for x:
3x = 81
Divide both sides by 3:
x = 81 / 3
x = 27
So, the store sells 81 T-shirts in the 27th month.
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Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering
Answer:
The required equation will be:
200 = 3n + 60Step-by-step explanation:
We know the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation
Let 'n' represents the number of students (n).Let 'c' represents the cost budget.Given that Bea's catering charges $3 per person.
Thus, the slope or rate of change = m = 3 dollars per personGiven that the clean-up fee to cater banquets = $60
In other words, $60 is the initial condition or y-intercept.
Thus, the y-intercept b = 60Given that the cost budget = c = $200
Thus, the equation becomes
c = mn+b
substituting c = 200, m = rate of cgange = 3, b = 60
200 = 3n + 60 ∵ comparing with y = mx+b
Thus, the required equation will be:
200 = 3n + 60The equation that determines the no of students should be 200 = 3n + 60
Equation need to be used:Here we assume n be the number of students
And, c be the the cost budget.
So, we know the equation should be formed by applying the following expression
c = mn+b
Here c = 200, m = r = 3, b = 60
Therefore, the equation is 200 = 3n + 60
Hence, The equation that determines the no of students should be 200 = 3n + 60
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8 मी० लम्बी, 6. मी० ऊची तथा 22.5 सेमी० मोटी दीवार
बनाने हेतु कितनी ईंटें चाहिए, जबकि एक ईंट का माप
25 सेमी. x 11.25 सेमी० x 6 सेमी०
सेमी०
(A) 640
(B) 1380
(C) 6400
(D) 7600
with process
Answer:
I think it might be D too
Step-by-step explanation:
Hope this helped have an amazing day!
pls help!!!!!!!!!!!!!!
Answer:
C) √221 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 7)
Point (7, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(7+7)^2+(2-7)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(14)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{196+25}[/tex]Add: [tex]d = \sqrt{221}[/tex]Can someone help me please
Answer:
7920
Step-by-step explanation:
all you have to do is just multiply the the feet in a mile by how any miles there are so basically
=> 1.5 * 5280 = 7920
Answer:
7,920 ft
Step-by-step explanation:
1.5 miles
1 mile = 5,280 feet
1.5 × 5,280 = 7,920 ft
or
5,280 ÷ 2 = 2,640
2,640 + 5,280 = 7,920 ft