Answer:
1/13 or 7.69%
Step-by-step explanation:
Note that there are 2 suits that are black (clubs and spades). You are also trying to draw a black four or a black five, meaning that it gives you only:
1) Four of clubs
2) Four of spades
3) Five of clubs
4) Five of spades
Your probability of drawing is part/whole, or 4/52
Simplify:
(4/52)/(4/4) = 1/13
Your probability is 1/13, or a 7.69% chance of selecting the targeted card.
log (x + 20) – log (x + 1) = log 18
- Rewrite the given equation without logarithms.
Find the 19th term for the arithmetic sequence in which the 23rd term is 9 and the 11th term is -75 .
A) -19
B) -27
C) 27
D) 19
Answer:
A) -19
Step-by-step explanation:
Basics first:
An arithmetic sequence progresses with numbers being added or subtracted by a constant value.
After understanding that, as soon as we have any two values of the sequence we can find the constant value which is added or subtracted.
Look:
The 11th term is -75.
12 terms later (23th), the term is 4.
In other words, after "jumping" 12 terms, we went up 84 numbers (75 + 9)
To find the size of each "jump" we just divide the total number variation (84) by the number of jumps (12)
84/12 = 7
Now that we know the size of each jump, we can either jump 4 terms back from the 23rd term or jump 8 terms forward from the 11th term.
I will jump 4 terms back from the 23rd term:
19th term = 23rd term - 4 jumps
19th term = 9 - 4 * 7 //Remember that 7 is the jump size
19th term = 9 - 28
19th term = -19
Answer:
-19
Step-by-step explanation:
I just did the test
Decide if each statement is true for all values of x.
Choose Yes or No for each statement.
a. If the distance from 0 to x on a number line is equal to 2, then
-2 + x = 0.
b. If the distance from 0 to x on a number line is less than 2, then
-2 + x is negative.
C.
If the distance from 0 to x on a number line is greater than 2,
then -2 + x is positive.
d. If the distance from 0 to x on a number line is greater than 0,
then -2 + x is positive.
Answer:
a. yes
b. yes
c. yes
d. no
a.
Solve the equation by rearranging
-2 + x = 0
x = 2
b.
If x < 2, x - 2 will always be negative
x - 2 cannot be positive unless you add a number greater than 2, therefore the statement is true
c.
If x > 2, x - 2 will always be positive
d.
If x is only greater than 0, then x - 2 could be positive, negative or 0 depending on if x < 2, x = 2 or if x > 2
These questions can be easily answered through graphing the equation: y = -2 + x, or equivalently, y = x - 2
Comparing fractions with different denominators
1. [tex] \frac{2}{3} and \: \frac{5}{6} [/tex]
2. [tex] \frac{3}{4} and \: \frac{2}{3} [/tex]
find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
The replacement set for an equation is {8, 9, 12, 18}
The equation is represented by the sentence, "2/3 of a number is 12."
What is the solution set of the equation?
O {8}
O {9}
O {12}
O {18}
Answer:
18
Step-by-step explanation:
The solution set of the equation will be;
⇒ x = 18
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''2/3 of a number is 12."
Now,
Since, The expression is,
''2/3 of a number is 12."
Let a number = x
So, We can formulate;
⇒ 2/3 of x = 12
⇒ 2/3 × x = 12
⇒ 2x = 12 × 3
⇒ 2x = 36
⇒ x = 36/2
⇒ x = 18
Thus, The solution set of the equation will be;
⇒ x = 18
Learn more about the mathematical expression visit:
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When a divisor divides the dividend exactly without leaving remainder then the divisor and quotient are
pls answer
Answer:
The divisor is called a factor of the dividend.
Step-by-step explanation:
Hope this helps
(Brainliest is appreciated)
Answer:
If a divisor divides the dividend exactly and leaves no remainder, this divisor is also called a factor of that dividend. Therefore, all factors of a number are divisors, but not always all factors have to be factors of a number The factors of 8 are for example 1, 2, 4 and 8, because 8 can be divided exactly by 1, 2, 4, 8.
Step-by-step explanation:
Hope this helps :)
Solve the system of equations.
y = 6x
y= x^2 +5
shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
To learn more about the multiplication;
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Find the L.C.M of =
A) 12
B) 1/2
C) 7
D) 24
Answer:
d.
Step-by-step explanation:
24/(3/4) = 32
24/ (6/5) = 20
24/(4/15) = 90
what is 5x + 1/10 * 10 if X= 10
Answer:
501
Step-by-step explanation:
Answer: 51
Step-by-step explanation:
Given P(E) = 0.15, what is P(E')?
Answer:
0.85
Step-by-step explanation:
P(E)+P(E')=1
SO, P(E')=1-P(E)
OR,P(E')=1-0.15
PLEASE MARK MY ANSWER AS BRAINLIEST.
= 0.85
correct?////////////////
Answer:
No solution
One solution
Many solutions
One solution
Step-by-step explanation:
Let's use y = mx + b
m = coefficient (or slope)
b = constant ( or y-intercept)
If they have different y-intercepts but they're both rising the same amount there would be no solution because they would never cross
If the slope was different but the same y-intercept they would cross on the y-axis, making them have one solution
Equal coefficients and constants is correct, there would be infinite solutions
Different slopes and different y-intercepts would make them cross randomly one, so one solution
Hope this helped! Comment if it does or not :)
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
For the triangle formed by vertices (3, 5), (2, 1), and (5, 2), calculate the perimeter. This is what the triangle would look like.
Using the Pythagorean Theorem (2 + 2 = 2), please calculate the perimeter, or the sum of the three sides, of the triangle.
Then, calculate the area by finding the area of the orange rectangle and subtracting the outer rectangles
Answer:
I’m not sure
Step-by-step explanation:
Because I don’t have a brain so I can’t think of what it is. I can’t give you a better explanatio.
Answer:
purrrrrrrfect
Step-by-step explanation:
I have a question here.
9514 1404 393
Answer:
P(F|A) = 35%
Step-by-step explanation:
P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35
P(F|A) = 35%
_____
The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.
how are planes named in geometry
Answer:
Step-by-step explanation:
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
The relationship between airplane 1 and airplane 2 is an illustration of objective function
14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
How to determine the number of each type of airplane?Represent P1 and P2 with x and y, respectively.
From the question, we ave have the following parameters:
x y Minimum
First class 20 18 400
Tourist 50 30 900
Economy 110 44 1500
Cost 10000 85000
So, the objective cost function to minimize would be:
C = 10000x + 8500y
And the constraints are:
20x + 18y ≥ 400
50x + 30y ≥ 900
110x + 44y ≥ 1500
x, y ≥ 0
Next, we plot the graphs of the constraints
From the graph (see attachment), we have the following feasible solutions
(x,y) = {(4.9,21.8), (8.5,12.7), (14,6.7)}
Substitute these values in the objective function.
C(5,22) = 10000 * 5 + 8500 * 22 = 237000
C(9,13) = 10000 * 9 + 8500 * 13 = 200500
C(14,7) = 10000 * 14 + 8500 * 7 = 199500
The minimum value is:
C(14,7) = 199500
Hence, 14 of airplane 1 and 7 of airplane 2 should be used to minimize the operation cost
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A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
i still need help finding angle 1 and 2
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 5 x + 2 y = 14
Answer:
y=-5/2x-8
Step-by-step explanation:
Please mark as brainliest if correct
[tex]-12t ² + 40t[/tex]
Answer:
1.15
Step-by-step explanation:
tan θ=−4/7, and 270°<θ<360°
θ is in 4th quadrant
sec θ = 8.06 / 7 = 1.15
Find the scale factor in this proportional.
1/8 = 20/160
Answer: 20
Step-by-step explanation:
A scale factor is simply the ratio between two corresponding units, therefore since the two fractions are set equal to each other, we can divide the numerator by each other. 20/1=20, so the answer is 20.
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
Which equation represents the proportional relationship displayed in the table?
x | 4, 9, 11, 14.
y | 32, 72, 88, 112.
A) y=8x
B) y=8x+4
C) y=1/8x
9514 1404 393
Answer:
A) y = 8x
Step-by-step explanation:
For a proportional relationship ...
y = kx
the constant of proportionality k can be found from ...
k = y/x
From your table, we find ...
k = 32/4 = 8
So, the equation represented by the table is ...
y = 8x
each shape stands for a different number . workout the value of each shape
Answer: Triangle = 0
Square = 2
Pentagon = 4
Step-by-step explanation:
If you replace the shapes with the numbers you should see that it works.
I used Trial and error.
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
What is the key feature of simple interest?
Answer:
When you make a payment on a simple interest loan, the payment first goes toward that month's interest, and the remainder goes toward the principal. Each month's interest is paid in full so it never accrues.
Step-by-step explanation:
