P(X < 4) = 0.8059
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
In which
P(X < 4) = 0.8059
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A bag contains four green balls three blue gumballs and two red gumballs all the same size and shape what is the probability of choosing a red gumball choosing a blue gumball and choosing a green gumball
Probability of choosing a red gumball choosing a blue gumball and choosing a green gumball are 2/9, 3/9, 4/9 RESPECTIVELY.
four green balls three blue gumballs and two red gumballs all the same size and shape.
total number of balls =9;
red ball =2
green ball=4
blue ball =3
as we know, the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
so, according to the question;
probability of choosing a red gumball choosing= no. of red balls/total number of balls
=>2/9=0.22
probability of choosing a blue gumball choosing= no. of blue balls/total number of balls
=>3/9=0.33
probability of choosing a green gumball choosing= no. of green balls/total number of balls
=>4/9=0.44;
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heloo! i need help with this;)
if a box is 216 cm3, what is the edge length?
The length of the edge of the box is 6 cm.
Here, we are given that the volume of a box is 216 cm cube.
Here, we assume that the box is a cube and not a cuboid since only then we will be able to find the edge of the box.
The volume of a cube is given by the formula-
Volume = side × side × side
Let the side of the given cube be x.
Then we can form the following equation-
[tex]x^{3}[/tex] = 216
x = (216)^1/3
we can find the 216 is the cube of 6. Thus,
x = 6
Hence, the length of the edge of the box comes out to be 6 cm.
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D
519
to
A
70°
E
70°
m/ABC= m/BAD because they are alternate interior angles.
m/BCA = m/CAE because they are alternate interior angles.
m/BAD + xº + m/CAE = 180° because the three angles form a straight
line.
So the value of x must be
Answer: 59
Step-by-step explanation:
[tex]51+x+70=180\\\\121+x=180\\\\x=59[/tex]
– 0.3+ – 0.8×0.5–0.1 using PEMDAS
Answer:
-0.8
Step-by-step explanation:
=0.3-0.8*0.5-0.1
= -0.3-0.4-0.1
= -0.7-0.1
= -0.8
The sizes of four cell phone displays are 5.625 inches, 5 1/2 inches, 6 1/4 inches, and 5.125 inches. How much longer is the longest display than the shortest display? a) 3/4 in, b) 1 in, c) 1.125 in, d) 1 1/4 in
Longest display is 1.125 inches longer than the shortest display.
What is fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given Data
Size of cell phones
5.625 inches
5[tex]\frac{1}{2}[/tex] inches = [tex]\frac{11}{2}[/tex] inches
5.5 inches
6[tex]\frac{1}{4}[/tex] inches = [tex]\frac{25}{4}[/tex] inches
6.25 inches
5.125 inches
Longest display = 6.25 inches
Shortest display = 5.125 inches
Difference = longest display - shortest display
Difference = 6.25 - 5.125
Difference = 1.125
Longest display is 1.125 inches longer than the shortest display.
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A pizza shop offers a choice of 3 sizes (small, medium, and large) and 7 different toppings. Different pizzas can be created by changing the size and/or the choice of toppings. If Cody wants to order a pizza with exactly 2 different toppings, how many different pizzas can he create?
1. 6
2. 21
3. 63
4. 121
Using permutation and combination we can calculate that she can get 63 different types of pizza.
Permutations and combinations are the various ways in which elements from a set may be chosen, typically without replacement, to create subsets. This choice of subsets is known as a permutation when the order of the selection is taken into account, and as a combination when it is not.
The total of the decisions we make given an initial set of n items is known as a combination. Permutation, on the other hand, counts the number of possible arrangements of n separate items. This will help us recall that combinations place more emphasis on choice than on placement, order, or arrangement.
Now Cody can get any two toppings out of the 7.
Number of ways in which Cody can pick 2 toppings out of 7 is given by the use of combination,
7C2 = 21 different ways.
Again the number of ways in which 3 different pizza s can be selected is given by 21 × 3 = 63 ways.
Hence Cody can create 63 different pizzas.
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Follow all the rules, please .
Helppppp
By solving a simple linear equation, we will get that:
36° = m∠AOB
How to find m∠AOB?
We can write a simple linear equation here, we know that:
m∠AOC = 108°
And we also know that:
m∠AOC = 3*m∠AOB
If we replace the first equation into the second one, then we will have the linear equation:
108° = 3*m∠AOB
And we want to solve this for m∠AOB, to do so, we just need to divid both sides by 3, we will get:
108°/3 = m∠AOB
36° = m∠AOB
We conclude that the measure of angle ∠AOB is 36°
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Divide using either synthetic division or long division.
(3x^3 + 4x^2 - x + 7) / (x + 2)
Answer:
Quotient = 3x² - 2x + 3
Remainder = 1
Step-by-step explanation:
We have to solve: [tex]\dfrac{3 x^{3} + 4 x^{2} - x + 7}{x + 2}[/tex]
We will use synthetic division to calculate this divisor
First, take the constant term of the divisor with the opposite sign and write it to the left. Write the coefficients of the dividend expression to the right Where there is no coefficient for a specific x term, use 0
Step 1: Write down the first coefficient asis
| x³ x² x¹ x⁰
2 | 3 4 -1 7 ← Coefficient row
|
---------------------------------
3 ← Result Row
Step 2: Multiply the entry in the left part of the table by the last entry in the result row and add he obtained result to the next coefficient of the dividend, and write down the sum.
| x³ x² x¹ x⁰
-2 | 3 4 -1 7
| -6 -6 = -2 x 3
---------------------------------
3 -2 -2 = 4 + (-6)
Repeat step 2 until we have finished with all the entries. These are the snapshots of each computation. Current operands are in bold
| x³ x² x¹ x⁰
-2 | 3 4 -1 7
| -6 4
---------------------------------
3 -2 3
| x³ x² x¹ x⁰
-2 | 3 4 -1 7
| -6 4 -6
---------------------------------
3 -2 3 1
The last entry in the result table shows the remainder of the division
The resultant coefficients are 3, -2, 3, 1
Therefore the answer is
Quotient = 3x² - 2x + 3
Remainder = 1
What are the solutions to the equation? 4x³ = 36x Enter your answers in the boxes.
[tex]4 {x}^{3} - 36x = 0 \\ 4x( {x}^{2} - 9) = 0 \\ 4x = 0 \\ \\ or \\ {x}^{2} - 9 = 0 \\ \\ \frac{4x}{4} = \frac{0}{4} =0 \\ \\ \\ (x - 3)(x + 3) = 0 \\ \\ x + 3 = 0 \\ \\ or \\ x - 3 = 0 \\ \\ \\ x = 0 \\ or \\ x = - 3 \\ \\ or \\ \\ x = 3[/tex]
ATTACHED IS THE SOLUTION
HELP ME PLEASE I GOT A 67 IN MATH
Answer:
0.5
Step-by-step explanation:
(-6,-5) ( 6,1) The slope is the change in y over the change in x.
([tex]x_{1}[/tex],[tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) Will will use this for the points above and then put in the numbers
[tex]\frac{y_{2 - y_{1} } }{x_{2 - x_{1} } }[/tex]
[tex]\frac{1 - -5}{6 - -6}[/tex]
[tex]\frac{1+ 5}{6+6}[/tex]
[tex]\frac{6}{12}[/tex]
[tex]\frac{1}{2}[/tex] = 0.5 as a decimal
If you start at any point on the line and go up one unit and 2 units of the right, you will end up on the line again. This pattern repeats over and over and over.
49x + 56xy^2
———————-
7x + 7xy
Answer:
Step-by-step explanation:
31/2x-7
Cristina goes to the market with 50 pesos. she buys one bag of papayas for 20 pesos and spends the rest of her money on clusters of bananas. each cluster of bananas cost 6 pesos. how many clusters of bananas can cristina buy
Answer:
5 clusters
Step-by-step explanation:
This is because she went to the market with 50 pesos and buys one bag of papayas for 20 pesos.
That means that her the remaining money she would have would be 50-20=30.
she would have 30 pesos.
Each banana cost 6 pesos so, she would buy 5 clusters because 30÷6=5
Help fast. I need help with this one as fast as you can. I mark brainliest
The true statement about the values x = - 2 and y = -0.5 is that: D. they are the only values that make both equations true.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
This ultimately implies that, a point of intersection simply represents the ordered pairs (values) that make a system of equations true.
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Complete Question:
Lan graphs these equations and finds that the lines intersect at a single point,
(-2,-0.5).
Equation A: 4y - 3x = 4
Equation B: -2x + 8y = 8
Which statement is true about the values x = -2 and y = -0.5?
A. They satisfy equation A but not equation B.
B. They satisfy equation B but not equation A.
C. They show that the equations represent the same line.
D. They are the only values that make both equations true.
12x + 25 < 6 +5 what is x < than
Answer:
x < -7/6
Step-by-step explanation:
In a equation that show a greater than or less than sign can be a equal sign .
hello please help me i dk
The value of x is 67°.
What are the properties of angles made by the transversal?Properties of the angles created by a transverse line and two parallel lines are:Corresponding angles as well as Alternate angles (Interiors & Exterior ) are both congruent. Co-Interior angles are supplementary. ( adds up to 180°)To determine the value of x,
Draw a line parallel to lines l and m passing through the vertex at angle x dividing it into two angles a and b.
∠a = 35° (Interior Alternate angles are congruent)
∠b + 148° = 180° (Co-Interior angles are supplementary)
⇒ ∠b = 32°
∠x = ∠a + ∠b
⇒ ∠x = 35° + 32°
⇒ ∠x = 67°
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Identify the following parts
The following results of the quadratic equation are summarized below:
Vertex: (h, k) = (3, 1)
Axis of symmetry: x = 3
Min/Max value: f(3) = 1 (Maximum)
y-Intercept: - 8
x-Intercepts: (2, 0), (4, 0)
Domain: All real numbers.
Range: y ≤ 1.
Sketch of the graph: Please see image.
Standard form: f(x) = x² - 6 · x + 8
Rigid transformations: Horizontal translation / Reflection about x-axis / Vertical translation
How to determine all the features of a quadratic equation
In this problem we have a quadratic equation in standard form, whose definition is shown below:
f(x) - h = C · (x - h)² (1)
Where:
(h, k) - Coordinates of the vertex.C - Vertex constant.Now we proceed to determine each of the required features:
Vertex
The quadratic equation has a vertex at point (3, 1).
Axis of symmetry
The axis of symmetry of the parabola is x = 3.
Min/Max value
For as the vertex constant is a negative number, then the vertex represents a maximum. Then, we evaluate the function at x = 3:
f(3) = 1
y-Intercept
The y-intercept is the value of the quadratic equation evaluated at x = 0.
f(0) = - (0 - 3)² + 1
f(0) = - 9 + 1
f(0) = - 8
x-Intercepts
The x-intercepts are the values of x such that f(x) = 0, all these can be found by using algebra properties:
- (x - 3)² + 1 = 0
- (x² - 6 · x + 9) + 1 = 0
- x² + 6 · x - 9 + 1 = 0
x² - 6 · x + 8 = 0
(x - 2) · (x - 4) = 0
Then, the x-intercepts of the parabola are (2, 0) and (4, 0).
Domain
The domain of all quadratic equations are all real numbers.
Range
Since the vertex constant is negative, the range of the quadratic equation is the subset of all real numbers equal or less than the y-value of the vertex.
Sketch of the graph
Please check the image attached below to see the graph.
Standard form
The standard form of the quadratic equation is:
f(x) = x² - 6 · x + 8
Rigid transformations done
Let be g(x) = x², it is transformed into f(x) = - (x - 3)² + 1 by using the following rigid transformations:
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Omar has been training for the Candlewood Footrace. The first week he trained, he ran 7 days and took the same two routes each day: 3 miles around the track before work and a longer route through his neighborhood after work. By the end of the week, Omar had run a total of 63 miles.
Which equation can you use to find how many miles, x, Omar ran each day after work?
The equation that can be use to find the how many miles, x, Omar ran each day after work is x = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days after work
The total number of days he run = 7 days
Total distance he ran in one week = 63 miles
The distance he run before the work = 3 miles
The total distance he run before the work in one week= 7×3
= 21 miles
The total distance he run after the work = 63 - 21
= 42 miles
The equation that can use to find how many mile x, Omar ran each day after work = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7
Substitute the values in the equation
= 42/7
= 6 miles
Hence, the equation that can be use to find the how many miles, x, Omar ran each day after work is x = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days after work
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What percentage of the area lost to deforestation will have been replanted by the preservation consortium after 1 year, 5 years, and 10 years?
Write an equation of a line perpendicular to 4x + 3y = 6 that passes through the point (-8, -5)
Answer:
Step-by-step explanation:
Hope it helps :D
A group of friends wants to go to the amusement park. They have no more than $710
to spend on parking and admission. Parking is $9, and tickets cost $10.75 per person,
including tax. Which inequality can be used to determine p, the maximum number of
people who can go to the amusement park?
The inequality for maximum number of people is 710 ≥ 9 + 10.75p
The correct option is (d)
Given,
Total money spend on amusement park is $710
Parking charge is $9.
and, tickets cost $10.75 per person
To find the inequality for maximum number of people (p) who can go to the amusement park?
Now, According to the question:
Costs of people tickets = 10.75 p
Total Cost will be = 9 + 10.75p
The inequality will be
9 + 10.75p ≤ 710
=> 710 ≥ 9 + 10.75p
Hence, The inequality for maximum number of people is 710 ≥ 9 + 10.75p .The correct option is (d).
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Can someone pls explain how to solve this
Answer:
No solution
Step-by-step explanation:
A number squared cannot be negative. It is a trick question.
PLS HELP WILL GIVE 20 POINTS AND BRAINLIEST!! ASAP!!!!
Answer:
7/49
Step-by-step explanation:
there is a sequence so you just need to follow it
so 11, 10, 9, 8 then the next one will be 7
Solve for the value of q.
Answer:
q = 20
Step-by-step explanation:
The two angles shown in the image are supplementary angles which means their sum is equal to 180°
We can find the value of q using the following equation:
78 + 5q + 2 = 180 add like terms
80 + 5q =180 subtract 80 from both sides
5q = 100 divide both sides by 5
q = 20
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Guide to follow:}[/tex]
[tex]\bullet\large\textsf{ A supplementary angles (}\angle\large\textsf{) is equal to 180}^\circ\\\bullet\large\textsf{ A complementary angles (}\angle\large\textsf{) is equal to 90}^\circ[/tex]
[tex]\star \large\textsf{ The current angel that you are working with is a \boxed{\mathsf{supplementary \ angle \ (\angle)}}}}\\\large\textsf{so that means means \large\textsf{that your angle is equal to \boxed{\mathsf{180 ^\circ}}}}[/tex]
[tex]\huge\textsf{What does your equation look like?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\huge\textsf{How we solve for your equation?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\mathsf{78 + 5q + 2 = 180}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(78 + 2) + (5q) = 180}[/tex]
[tex]\mathsf{78 + 2 + 5q = 180}[/tex]
[tex]\mathsf{80 + 5q = 180}[/tex]
[tex]\large\textsf{Simplifying}[/tex]
[tex]\mathsf{5q + 80 = 180}[/tex]
[tex]\large\textsf{SUBTRACT 80 to BOTH SIDES}[/tex]
[tex]\mathsf{5q + 80 - 80 = 180 - 80}[/tex]
[tex]\large\textsf{Simplify it:}[/tex]
[tex]\mathsf{5q = 180 - 80}[/tex]
[tex]\mathsf{5q = 100}[/tex]
[tex]\large\textsf{DIVIDE 5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5q}{5} = \dfrac{100}{5}}[/tex]
[tex]\large\textsf{Simplify it:}[/tex]
[tex]\mathsf{q = \dfrac{100}{5}}[/tex]
[tex]\mathsf{q = 20}[/tex]
[tex]\huge\textsf{So, what does mean your answer should be?}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{q = 20}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Agent Hunt is transferring classified files from the CIA mainframe into his flash drive.
SSS represents the size of the files on the drive (in megabytes) after ttt seconds.
S=5t+45S=5t+45S, equals, 5, t, plus, 45
How many megabytes are transferred every 101010 seconds?
Using the slope of the linear function, it is found that 50 megabytes are transferred every 10 seconds.
What is a linear function?A linear function is modeled according to the following rule, in slope-intercept form:
y = mx + b
In which:
m is the slope of the function, which is the rate of change of the function for every unit of the input.b is the y-intercept of the function, which is the initial value of the function, when the lower bound of the domain is of 0.For this problem, the function is given as follows:
S(t) = 5t + 45.
The slope of m = 5 means that every one second, 5 megabytes are transferred, hence the amount transferred every 10 seconds is given by:
Amount = 5 x 10 = 50 MB.
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Compare 0.79 and 0.789.
Answer:
0.79 greater than 0.789 by 0.001
Step-by-step explanation:
[tex]{ \tt{ \delta x + 0.79 = 0.789}} \\ { \tt{ \delta x = 0.001}}[/tex]
use properties of special parallelograms to complete the proof given: EFGH is a rectangle. J si the midpoint of EH. prove: triangle FJG is isosceles
Using the special parallelograms the proof with regard to the EFGH rectangle that triangle FJG is an isosceles is completed and attached. See further explanations below.
What is proof inMath?Proofs are examples of exhaustive deductive reasoning that establishes logical certainty, as opposed to empirical arguments or non-exhaustive inductive reasoning that establishes "reasonable expectation."
The following are various kinds of proof:
Direct proofs.Indirect proofs.Vacuous proofs.Trivial proofs.Proof by contradiction.Proof by cases.Proofs of equivalence.Existence proofs.Learn more about parallelograms:
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Simplify the expression .
A.
B.
C.
D.
Using properties of exponents, the simplified expression for 5³ x 5^(-5) is given by:
A. 1/(5²).
How do we multiply two terms with the same base and different exponents?The exponent property applied to multiply the terms with the same base but different exponents is that we keep the bases and then add the exponents.
For this problem, the expression is given as follows:
5³ x 5^(-5)
Hence:
The base is of 5.The exponents are of 3 and -5.Adding the exponents, we have that:
3 + (- 5) = 3 - 5 = -2.
Hence the simplified expression is:
5³ x 5^(-5) = 5^(-2).
When a number has a negative exponent, we can move it to the denominator, then the exponent becomes positive, hence:
5^(-2) = (1/5)² = 1/5² = 1/25.
Meaning that option A is correct.
What is the missing information?The expression in this problem is 5³ x 5^(-5), and the correct options are given by the image at the end of the answer.
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in a recent year, 389 of the 281,421,906 people in the united states were struck by lightning. estimate the probability that a randomly selected person in the united states will be struck by lightning this year.
Answer:
0.000001382 if you divide
You pay no federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500. If your income is $57,890, how much in taxes do you need to pay?
With an income of $57,890, you need to pay $12,735.8 in taxes.
What is mean by proportion?
A proportion is a fraction of a total amount, in which two ratios are set equal to each other.
Given that;
For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.
And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.
Now,
An income of $57,890 is in this range, hence the amount paid is given by;
Amount paid = 57890 x 22%
= 57890 x 0.22
= $12,735.8.
So, Paid amount for the tax = $12,735.8
Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.
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Which of the following are possible side lengths for a
right triangle?
2, 4, 6
3,4,5
6,7,9.
6, 8, 10
5, 12, 13
Answer:
3, 4, 5
6, 8, 10
5, 12, 13
Step-by-step explanation:
If you are given side lengths and must determine if it is a right angle, you will use the Pythagorean Theorem. Which states that the square length of the hypotenuse (longest side of a triangle) must equal to the sum of the square length of the two shortest.
Formula: a² + b² = c²
2, 4, 6
a² + b² = c²
(2)² + (4)² ≟ (6)²
4 + 16 ≟ 36
20 ≠ 36
3, 4, 5
a² + b² = c²
(3)² + (4)² ≟ (5)²
9 + 16 ≟ 25
25 = 25
6, 7, 9
a² + b² = c²
(6)² + (7)² ≟ (9)²
36 + 49 ≟ 81
85 ≠ 81
6, 8, 10
a² + b² = c²
(6)² + (8)² ≟ (10)²
36 + 64 ≟ 100
100 = 100
5, 12, 13
a² + b² = c²
(5)² + (12)² ≟ (13)²
25 + 144 ≟ 169
169 = 169