The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.
The binomial distribution table is a table of values that shows the probability of getting a certain number of successes (x) in a certain number of trials (n). In this case, the probability is 0.75, so we need to look for the column that has a value of 0.75. We can see that this column corresponds to x = 5, so that is the column we should use.
The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.
the complete question is :
on the table for the binomial distribution, if you have a probability of 0.75, which vertical column for x do you use?
Table :
n x P(x)
5 0 0.23730
5 1 0.39615
5 2 0.26335
5 3 0.08789
5 4 0.01801
5 5 0.00152
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Find all remaining roots for 3x³- 7x² - 7x + 3 = 0; x = 3
The roots of the polynomial equation are x = −1, 1/3, and 3.
Finding Roots of a polynomial equationA polynomial equation is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
Finding the value(s) of 'x' that satisfy the polynomial equation p(x) = 0 is all that is required to solve the problem. A number "a" is a polynomial p(x) "zero" if and only when p(a) = 0.
Given that:
3x³- 7x² - 7x + 3 = 0
Factor the left side of the equation.
(x + 1) (3x − 1)(x − 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x + 1 = 0
3x − 1 = 0
x − 3 = 0
Set x + 1 equal to 0 and solve for x; x = - 1
Set 3 x − 1 equal to 0 and solve for x; x = 1/3
Set x − 3 equal to 0 and solve for x; x = 3
The final solution is all the values that make (x + 1)(3 x − 1)( x − 3) = 0 true is x = −1, 1/3, 3.
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What value of x makes the equation true
3(2x-5+8x)=5(2x+5)
The value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2
How to evaluate for the value of x for the equationWe shall evaluate for the value of x to know what makes the algebraic equation true as follows;
3(2x - 5 + 8x) = 5(2x + 5)
3(10x - 5) = 5(2x + 5)
30x - 15 = 10x + 25 {expand bracket}
30x - 10x = 25 + 15 {collect like terms}
20x = 40
x = 40/20 {divide through by 20}
x = 2
Therefore, the value of x that makes the equation 3(2x - 5 + 8x) = 5(2x + 5) true is 2.
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3 Hassan recorded the number of people in 60 passing cars.
Here are his results. Find:
a the missing frequency
b the modal number of people in a car
c the median
d the mean.
a) The missing frequency is 20
b) The modal number of people in a car is 1
c) The median is 3
d) The mean is 0.95
The sum of the frequencies must be 60.
The missing frequency by subtracting the sum of the other frequencies from 60
60 - (28 + 3 + 7 + 1 + 1) = 20
To find the median, we need to arrange the data in order from smallest to largest:
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 6
There are 60 numbers in total, so the median is the average of the 30th and 31st numbers:
median = (3 + 3)/2 = 3
The mode is the value with the highest frequency, which is 1.
mean = (1 x 28 + 2 x 20 + 3 x 3 + 4 x 7 + 5 x 1 + 6 x 1) / 60
= (28 + 40 + 9 + 28 + 5 + 6) / 60
= 0.95
Therefore, the missing frequency, mode, median and mean has been found
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The given question is incomplete, the complete question is
Hassan recorded the number of people in 60 passing cars
people 1 2 3 4 5 6
frequency 28 ? 3 7 1 1
a)find the missing frequency
b)median
c)modal
d)mean
move the lenghts to the lines in order from shortest to longest
shortest________ _________ __________ __________longest
1 kilometer 1 meter 1 millimeter 1 centimeter
through: (0,-5) and (-2,-3)
The equation of the linear function is y = x - 5
How to determin the equation of the linear functionFrom the question, we have the following parameters that can be used in our computation:
The ordered pairs (0,-5) and (-2,-3)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
This means that
y = mx - 5
Using the other point (-2, -3), we have
-2m - 5 = -3
Evaluate the like terms
-2m = 2
Divide by 2
m = 1
Substitute the known values in the above equation, so, we have the following representation
y = x - 5
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Complete question
Find the equation of the linear function represented by the line that goes through: (0,-5) and (-2,-3) in slope-intercept form.
y = ___?___
The total cost of an order of personalized invitations from a company includes the cost of each invitation, plus a one-time design fee. The cost of each invitation is the same regardless of how many invitations are ordered.
The invitation company provides the following examples to customers in order to estimate the total cost of an order:
50 invitations $298.50
500 invitations $2049
The total cost of an order is $900 if 50 invitations cost is $298.50
To calculate the cost of an order of personalized invitations, you would need to know the cost of each invitation and the one-time design fee.
Let calculate the cost of each invitation and the one-time design fee as follows:
50 Invitations: $298.50 / 50 = $5.97 per invitation
500 Invitations: $2049 / 500 = $4.098 per invitation
Design Fee: ($2049 - ($5.97 × 50)) / 500
= $3.90 one-time design fee
If you wanted to order 150 personalized invitations, the cost would be:
150 Invitations x $5.97 per invitation = $896.50
Plus one-time design fee of $3.90 = $890.40
Total cost = $896.50 + $3.90 = $900.
Hence, the total cost of an order is $900 if 50 invitations cost $298.50
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[tex]20x+18=58[/tex]
Question 3 Complete the following word problems by showing all your calculations: 3.1) Thato bought a bicycle for R 8 000 on a loan at Cycle lab. If the interest rate was 14% per annum for 3 years. a) What is the interest he will pay? b) What is the final amount he will pay for the bicycle? 3.2) The florist bought 200 roses for R900. If she sells the roses in a bouquet of five for R 35. a) What was the cost price per rose? b) What is the selling price per rose? c) What is the profit that she will make per rose? 3.3) The shopkeeper buys oranges and apples at a ratio of 4:3. How many apples will he buy, if he buys 96 oranges? (3) 3.4) Mr Dingaan started practicing the 1st of January to run a marathon of 140 km on the 1st of June. He practices every day for 3 hours and runs at a speed of 35km/hour. a) What is the distance that he runs in one day? b) What is the total distance he runs during the time that he practices, from January to June?
1a. The interest that Thato will pay equals to R3,840.
1b. The final amount he will pay for the bicycle will be R 11 840.
1a What is the interest he will pay?a) To calculate the interest that Thato will pay, you can use the following formula:
Interest = Principal * Rate * Time
Interest = R 8,000 * 0.14 * 3
Interest = R3 840
1b What is the final amount he will pay for the bicycle?Final amount = Principal + Interest
Final amount = R 8,000 + R 3,840
Final amount = R 11,840
2a What was the cost price per rose?Cost price per rose = Total cost of roses / Number of roses
Cost price per rose = R 900 / 200
Cost price per rose = R 4.50
2b. What is the selling price per rose?Selling price per rose = Price of bouquet of 5 roses / Number of roses in the bouquet
Selling price per rose = R 35 / 5
Selling price per rose = R 7.00
2c. What is the profit that she will make per rose?Profit per rose = Selling price per rose - Cost price per rose
Profit per rose = R 7.00 - R 4.50
Profit per rose = R 2.50
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Please Answer (Iready)
The expression for the given model will be 3÷2/5.
What exactly are expressions?
Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.
e.g. A number is 6 more than half of another number, which is x. In a mathematical expression, this proposition is expressed as x/2 + 6. Complex riddles are solved using mathematical expressions.
Now,
as shown in figure the model is shaded uptil 3
and in 1 unit there are 5 total boxes which are divided in 2 parts
Therefore, it will be represented by 3÷2/5.
Hence,
The expression for the given model will be 3÷2/5.
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Dawn spent $22. 5 on 9 gallons of gas.
What is the un-simplified rate of dollars-gallons, and gallons to dollars.
And what is the Simplified Unit Rate "per language" of dollars per gallon. And gallons per dollar?
Un-simplified rate of dollars-gallons = 22.5/9 $ and and gallons to dollars 9/22.5 $ . and simplified rate of dollars-gallons = 22.5/9 $ = 2.5 and and gallons to dollars 9/22.5 = 0.4 .
Here first we have to calculate the rate of gallons of gas as per gallons so for that we will find the rate of 1 gallons for that we will divide the 22.4$ to 9 gallons so ans is 22.5$/9 is the rate for 1 gallons
and 2nd we have to calculate the amount of gas as per $ like we have to calculate the the amount if we spend 1 $ so for that we will divide 9 gallons / 22.5$ = 9/22.5
And here in 1st part we are not calculate the ans in decimal as we have to calculate this on un-simplified ans .
and in 2nd part we calculate it .
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If cos A =0. 8945, find angle A to nearest tenth of a degree
The angle to the nearest tenth of a degree, we round the result to 50.7 degrees.
In trigonometry, cosine is a function that takes an angle as an input and produces a numeric value between -1 and 1 as an output. The cosine of an angle A is represented by cos A. In this problem, cos A is given to be 0.8945. To find the angle, we can use the inverse cosine function (or arccosine) which returns the angle in radians. To obtain the angle in degrees, we can multiply by 180/π (which is equal to 57.2958). The angle A is then equal to 50.6 degrees. To find the angle to the nearest tenth of a degree, we round the result to 50.7 degrees.
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the town's population has increased for 80,000 to 90,000 in the past 10 years. what was the present increase.
The percentage increase in the population of the town is 12%.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Increase in population = 90,000 - 80,000 = 10,000
Percentage increase = 10,000/80,000 * 100 = 100/8 = 12.5%
Hence the percentage increase in the population of the town is 12%.
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help me out please i
Answer: 2 *(3+4)= (2x3)+ (2x4)
Step-by-step explanation:
Is the product of (x − 3)2 a perfect square trinomial? Explain your reasoning
Yes, the product of (x - 3)^2 is a perfect square trinomial because it can be written as the square of the binomial (x - 3).
A perfect square trinomial is a trinomial of the form a^2 + 2ab + b^2, where a and b are terms that can be squared. When we expand the square of a binomial, we get a perfect square trinomial.
In this case, the binomial is (x - 3), and its square is (x - 3)^2. When we expand this expression, we get:
(x - 3)^2 = (x - 3)(x - 3) = x^2 - 6x + 9
This is a perfect square trinomial, because it can be written as the square of the binomial (x - 3). Specifically, we can write:
(x - 3)^2 = (x - 3)(x - 3) = (x - 3)^2
Therefore, the product of (x - 3)^2 is a perfect square trinomial.
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how many pattern block trapezoids would create 2 hexagons
The right response is, "5 hexagons are made up of 15 pattern block trapezoids."
Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.
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what is the surface area of a right cylinder with a radius of 6 units and a height of 14 units?
The surface area of a right cylinder with a radius of 6 units and a height of 14 units is equal to 753.6 square units.
How to calculate surface area of a cylinder?Mathematically, the surface area (SA) of a right cylinder can be calculated by using this formula:
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the surface area of a right cylinder formula, we have;
Surface area (SA) of cylinder = (2 × 3.14 × 6 × 14) + 2 × 3.14 × 6²
Surface area (SA) of cylinder = 527.52 + 226.08
Surface area (SA) of cylinder = 753.6 square units.
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Please help, I’ll give brainliest!!!!!!!!!!!!
The ordered pairs from the graph of quadratic and linear equations are (-2, 7) and (2, -1)
what is graph of a quadratic and linear equationA graph of a quadratic equation is a parabolic curve that opens up or down, depending on the sign of the coefficient of the squared term. A general form of a quadratic equation is given by:
y = ax^2 + bx + c,
where a, b, and c are constants. The graph of this equation can be plotted by choosing a range of values for x and calculating the corresponding values of y.
A graph of a linear equation is a straight line. A general form of a linear equation is given by:
y = mx + b,
where m is the slope of the line and b is the y-intercept.
In this problem, the ordered-pairs will be the point in which they intersect with each other.
Looking carefully at the graph, the ordered pair will be at points
A = (-2, 7)
B = (2, -1)
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Which number sentence is not true? 0<100, 0=0, -100<0, -100>0
1) Simplify the following
a) 3√2+5√2
b) √3 x √2
c) 3√5x2√7
d) 8√10-2√2 x √5
4. In the isosceles triangle shown, what is the value of b?
11. In the figure, the volume of the cube is 64. What is the distance from point A to point B?
4. The value of b is 180+2a (option C)
11. the distance between A and B is 4√2 (option A)
What is angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.
The total angle at a point is 360°
therefore the third angle in the triangle = 180-(a+a) = 180-2a
therefore b = 360-( 180-2a)
b = 360-180+2a
b = 180+2a
If the volume of the cube is 64, then AB = √4²+4²
= √16+16 = √32
AB = √32
AB = √ 16×2
AB = 4√2
Therefore the distance between A and B is 4√2
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find the gcf 24x^3+36^2
The greatest common factor of the 24x³ + 36x² is 12x².
What is the greatest common factor?It is the greatest factor common to all the numbers given such that there are no greater factors common other than that.
Example:
4 is the gcd of 12, 8, 16.
We have,
24x³ + 36x²
Taking out the common factor.
= 12x² (2x + 3)
Thus,
GCF of the expression is 12x².
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Complete the table using the given function Then plot the dots on the
graph Use the line tool to draw a line connecting the dots for each
line
Point of Solution:ixy)
Y = 3x
y
x
-1
03
1
Y = -2x + 5
X
y
-1
0
1
7
3456
The complete tables for the given equations is:-
For y = 3x
X Y
1 3
2 6
3 9
For y = -2x + 5
X Y
1 3
2 1
3 -1
What is an equation?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The given two equations are;-
y = 3x
y = -2x +5
The different points passing through the line y =3x are:-
X Y
1 3
2 6
3 9
The different points passing through the line y =-2x + 5 are:-
X Y
1 3
2 1
3 -1
The graph of the points and the line as is attached with the answer below.
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A weeping willow that is
15
1515 feet in height grows to a maximum height of
35
3535 feet in
�
yy years at a constant rate of
24
2424 inches per year. Which of the following equations best describes this situation?
1
foot
=
12
inches
1foot=12inches
The value of the equation is 35 = 15 + 2y , where y is the number of years and the y = 10 years
What is an 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.
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.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the initial height of the weeping willow be = 15 feet
Let the final height of the weeping willow be = 35 feet
The height in feet the weeping willow grows each year = 24 inches = 2 feet
Let the number of years be = y
On simplifying the equation , we get
35 = 15 + 2y
Subtracting 15 on both sides of the equation , we get
2y = 20
Divide by 2 on both sides of the equation , we get
y = 10 years
Hence , the equation is y = 10 years
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It takes an older computer twice as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 5 minutes to
send out the email. How long will it take the newer computer to send out the email on its own?
Do not do any rounding.
minutes
The time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.
What is a unitary method?
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Let,
Time taken by new computer to send 1 email = x
Time taken by the old computer to send same mail = 2x
Using unitary method
In 1 minute
Work done by new computer = 1/x
Work done by old computer =1/2x
Given the time taken when both computers work together = 5 minutes
Work done in 1 minute by both = 1/5
So we can write,
1/x + 1/2x = 1/5
3/2x = 1/5
x = 7.5 minutes
Therefore the time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.
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you are skiing down a mountain with a vertical height of 900 feet. the distance from the top of the mountain to the base is 1800 feet. what is the angle of elevation from the base to the top of the mountain?
COULD SOMEONE PLEASE HELP ME WITH #2!!
Gavin wraps a gift box in the shape of a triangular prism. The figure below shows a net for the gift box. How much wrapping paper did he use, in square meters?
The amount of wrapping paper used by Gavin to wrap a triangular prism box is 647.75 m².
What is a prism?
A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
The formula for area of rectangle is -
Area = length × breadth
The area of rectangle ABFG is -
Area = AB × BF
The value for line segment AB = 15 m
The value for line segment BF is -
BF = BC + CE + EF
BF = 14 + 7 + 15.65
BF = 36.65 m
So, the area of rectangle ABFG is -
Area = 15 × 36.65
Area = 549.75 m²
Now, the triangular prism has triangle part left.
The formula for area of triangle is -
Area = 1/2 × base × height
So, the area of triangle IJH is -
Area = 1/2 × IJ × JH
The value for line segment IJ = 14 m
The value for line segment JH = 7 m
So, the area of triangle IJH is -
Area = 1/2 × 14 × 7
Area = 49 m²
Since, there are two triangles (Δ IJH = Δ CDE ) so the area of total shape is -
Total area = Area of ABFG + 2(Area of Δ IJH)
Total area = 549.75 + 2(49)
Total area = 647.75 m²
Therefore, the area of triangular prism box is 647.75 m².
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Given:-1/2x>6.
Choose the solution set.
xix R, x>-12
xix
R, x>-3]
xIxER,x<-3)
R, x<-12
Solution of given inequality is x < -12.
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.
Given inequality
- (1/2)x > 6
Multiplying with 2 on both sides
- (2/2)x > 6×2
- x > 12
Multiplying with -1 on both sides
x < -12
Hence, x < -12 is the solution of given inequality.
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Leila had 1 3/4 of a bag of chips. Her brother gave her 1 1/2bags of chips. How many
does Leila have altogether?
c) In the following figure, AE = 8 cm, BE =3 cm and CE = 4 cm. Find the length of DE .
Answer:
DE = 6 cm
Step-by-step explanation:
The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:
CE × DE = AE × BE
4 × DE = 8 × 3
4 × DE = 24
DE = 6 cm
Hope this helps!
