Answer:
1) Yes, table shows a probability distribution
2) Mean = 1.5
3) Standard Deviation = 1.1
Step-by-step explanation:
PART 1:
For the table to show a probability distribution, the sum of all probabilities should be equal to 1
Sum of probabilities = 0.358 + 0.443 + 0.174 + 0.025
Sum of probabilities = 1
Hence, the table shows the probability distribution.
PART 2:
The formula for mean is given by:
Mean = Sum of terms/ Total no. of terms
Mean = (0+1+2+3) / 4
Mean = 1.5
PART 3:
The formula for standard deviation is given by:
[tex]\sigma=\sqrt{\frac{\sum(x_i-\mu)^2}{N}}[/tex]
Solve using a calculator, we get
σ = 1.118
Round off to one decimal place
σ = 1.1
Which statement is true regarding the graphed functions?
Answer:
c
Step-by-step explanation:
Answer:
f(-2)=g(-2)
Step-by-step explanation:
f(-2)=g(-2) and point (-2, 4)
(08.01) Line H is represented by the following equation: 2x + 2y = 8 What is most likely the equation for line K so the set of equations has infinitely many solutions? x + 2y = 2 x + y = 4 2x + y = 6 x − y = 8
Answer:
The second option you listed: x + y = 4 gives the same line as H, and therefore renders infinite number of solutions (as many as every point on the line)
Step-by-step explanation:
We need to look for the equation that exactly matches the given one :
2 x + 2 y = 8
notice dividing both sides of this equation by "2" we get:
x + y = 4
SO this equation represents exactly the same line as 2 x + 2 y = 8 does, and therefore their graphs overlap completely
(05.01)
Simplify completely 2x – 24
8
Your answer:
X-24
4
X - 12
4
O 2x - 3
0 X-3
Answer:
x - 12
Step-by-step explanation:
2x divided by 2 equals x
24 divided by 2 equals 12
x-12
Plz make me brainliest
What is the area of this figure?
Answer:
97 square miles
Step-by-step explanation:
Let us divide this figure into rectangles, each of set dimensions;
[tex]Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles[/tex]
Solution; 97 square miles
Complete the rule:
positive + negative -
Answer: If you have a positive and a negative, there is one dash left over, and the answer is negative.
Answer:
Postive plus negative equals negative
Step-by-step explanation:
An example is:
[tex]4-8=-4[/tex]
You see how it is a negative
Hope this helps
What is the value of b?
A. 100
B. 90
C. 80
Answer: the answer is C. 80°
Step-by-step explanation:
= 360 - 110 - 90
=160°
b=1/2 (160)
b=80°
Answer:
C. 80 degrees
Step-by-step explanation:
The measure of the given arcs are 90 and 110.
Subtract those values from 360
= 360 - 90 -110
= 160
The angle b is half of 160 degrees, the measure of the arc that intercepts it.
Therefore, it measures 80 degrees.
Hope this helps :)
a) The difference between twice the product of a and b and the quotient of these numbers.
b) The sum of square of c and d increased by twice their product.
c) The sum of a number c and its square.
d) The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.
e) The product of two numbers, p and q, decreased by three times their sum.
f) The quotient of the square of a number n and the cube of n increased by 5.
PLEASE PROVIDE THE ALGEBRAIC EXPRESSION ANSWER!!
Answer:
a) 2*a*b - a/b
b) c² + d + 2*c*d
c) c + c²
d) (1 + b)/(2*b)
e) p*q - 3*(p+q)
f) n²/(n+5)³
Step-by-step explanation:
We can divide each statement into its parts, as follows:
a) The difference between:
twice the product of a and b: 2*a*band the quotient of these numbers: a/bb) The sum of:
square of c: c²and d increased by twice their product. d+2*c*dc) The sum of:
a number c: cand its square: c²d) The quotient of:
the number that is 1 greater than a number b: 1 + band the number that is twice as large as b: 2*be)
The product of two numbers, p and q: p*qdecreased by three times their sum: 3*(p+q)f) The quotient of:
the square of a number n: n²and the cube of n increased by 5: (n+5)³All the algebraic expressions are written as,
a) 2ab - (a/b)
b) c² + d + 2cd
c) c + c²
d) (1 + b)/(2b)
e) pq - 3(p+q)
f) n²/(n+5)³
Used the method of a mathematical expression,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, simplify all the expressions for mathematical form as,
a) The difference between twice the product of a and b and the quotient of these numbers.
Here, twice the product of a and b is,
2 × (ab)
And, the quotient of these numbers is,
a/b
Hence, it can be written as,
[tex]2ab - \dfrac{a}{b}[/tex]
b) The sum of squares of c and d increased by twice their product.
Here, d increased by twice their product is,
d + 2cd
And, The sum of squares of c and d increased by twice their product is,
c² + (d + 2cd)
c) The sum of a number c and its square is,
c + c²
d) Now, the number that is 1 greater than a number b is,
1 + b
And the number that is twice as large as b,
2b
So, The quotient of the numbers,
(1 + b)./2b
e) Now, The product of two numbers, p, and q is,
p × q
And, it is decreased by three times their sum:
p × q - 3 (p+q)
pq - 3 (p + q)
f) Now, the square of a number n is, n²
and the cube of n increased by 5 is, (n+5)³
So, The quotient is,
n² / (n + 5)³
To learn more about the mathematical expression visit:
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On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. Function g (x) approaches y = 0 in quadrant 1 and increases into quadrant 2.
Which function represents a reflection of f(x) = Three-eighths(4)x across the y-axis?
g(x) = NegativeThree-eighths (one-fourth) Superscript x
g(x) = Negative three-eighths(4)x
g(x) = Eight-thirds(4)-x
g(x) = Three-eighths(4)–x
Answer:
[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]
Step-by-step explanation:
The pre-image is
[tex]f(x)=\frac{3}{8}(4)^{x}[/tex]
To make a reflection across the y-axis, we need to apply the transformation
[tex](x,y) \implies (-x,y)[/tex]
Which give the function
[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]
Therefore, the right answer is the last choice.
Answer:
D
Step-by-step explanation:
Write x3 – 7x + 7x5 – 19 + x2 in standard form.
Answer:
The answer would be 33x - 15
Help plz
Find the volume of the rectangular prism.
Height 4 1/2 in.
Lenght 6 1/2 in.
Width 4 in.
The answer is 117 inches^3
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 117 \: {in}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 4 \times 4 \frac{1}{2} \times 6 \frac{1}{2} \\ = 4 \times \frac{9}{2} \times \frac{13}{2} \\ = \frac{468}{4} \\ = 117 \: {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
find the x in the triangle
Answer:
20
Step-by-step explanation:
Because this is a right triangle, you can use the Pythagorean Theorem, a^2 + b^2 = c^2. a and b are your legs and c is your hypotenuse, so you have 21^2 + b^2 = 29^2. This equals to 441 + b^2 = 841. subtract 441 from both sides and you are left with b^2 = 400. take the square root of both sides to get your answer b = 20, or x = 20.
Answer:
x = 20
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this:
[tex]a^2 +b^2=c^2[/tex]
→The "a," and "b," are the legs, 21 and x, while the "c," is the hypotenuse, 29. In this case, we are trying to find the value of a leg:
[tex]21^2+b^2=29^2[/tex]
[tex]441+b^2=841[/tex]
→Subtract 441 from both sides:
[tex]b^2=400[/tex]
→To get "b," by itself, you must take the square root of both sides, like so:
[tex]\sqrt{b^2} =\sqrt{400}[/tex]
[tex]b = 20[/tex]
I need help on this.
Answer:
5.627
Step-by-step explanation:
[tex]5 \times 1 + 6 \times \bigg( \frac{1}{10} \bigg) + 2 \times \bigg( \frac{1}{100} \bigg) + 7\times \bigg( \frac{1}{1000} \bigg) \\ \\ = 5 + 0.6 + 0.02 + 0.007 \\ \\ = 5.627[/tex]
What are the solutions to the expression 4x2+11x−3
Step-by-step explanation:
4x² + 11x - 3 = 0
(4x-1)(x+3) = 0
x = 1/4, -3
Answer:
x = -3 or x = 1/4
Step-by-step explanation:
Please see the graph in the attachment.
4 x^2 + 11 x - 3= 0
4 (x + 3) (x - (1/4)) = 0
(x + 3)= 0 or (x - (1/4))= 0
x = -3 or x = 1/4
What should I fill the blanks with?
Answer:
The three angles form a "linear triplet" , so their measures must add up to [tex]180^o[/tex]
Step-by-step explanation:
Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.
what is negative 7 minus negative 4
Answer:
-7-(-4)= -3
Step-by-step explanation:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive.
2. You flip a coin two times. What is the probability that you get heads each
time?
Answer: 25%
Step-by-step explanation: So, I think we know it's 50% chance to get heads or tails. But what's the chance of getting heads two times in a row....let's see...
[tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex]
Let's turn [tex]\frac{1}{4}[/tex] into a decimal...
1 ÷ 4 = 0.25
0.25 * 100 = 25
= 25%
Thus, you have a 25% to get heads two times in a row...I hope this helps!
If a polynomial function f(x) has roots 3+
Answer:
Step-by-step explanation:
3+√5 is a root.
so 3-√5 is also a root
or (x-(3-√5)) is also a factor of f(x)
What is the midpoint of the segment shown below?
Answer:
B. (-9/2, -11/2)
Step-by-step explanation:
-12+3 / 2 = -9/2
-3+-8 / 2 = -11/2
Solve for p
6 = 3 + 3p
P=
Answer:
1
Step-by-step explanation:
6=3+3p
6-3=3p
3=3p
3/3=p
1=p
Answer:
p=1
Step-by-step explanation:
6 = 3 + 3p
Subtract 3 from each side
6-3 = 3-3 + 3p
3 = 3p
Divide by 3
3/3 = 3p/3
1 = p
pls help I need help I will mark u as brainiest is you can answer this quistion
What is the area of the parallelogram?
Answer:
332.64 m²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 26.4 and h = 12.6 , thus
A = 26.4 × 12.6 = 332.64 m²
Mr. W is having a yard sale, where he is selling iPad chargers and wireless keyboards. At the
end of the day, he knows he sold a maximum of 14 items, and he earned a total of $342. If he
charged $18 for each iPad charger (x) and $38 for each keyboard (y), write a system of
inequalities that models this situation,
Answer: the system of inequalities are
x + y ≤ 14
18x + 38y = 342
Step-by-step explanation:
Let x represent the number of iPad chargers sold.
Let y represent the number of keyboards sold.
At the end of the day, he knows he sold a maximum of 14 items. This is expressed as
x + y ≤ 14
If he
charged $18 for each iPad charger (x) and $38 for each keyboard (y) and earned a total of $342, the expression would be
18x + 38y = 342
PLS I NEED HELP QUICK
Calculate the volume of the 3-D composite figure please!! show how you got the volume
Answer:
5760+ 90π m³ or ≈ 6042.74 m³
Step-by-step explanation:
V = πr²h + (l×w×h)
= π3²10 + (20×16×18)
= 90π + (5760)
= 6042.7433388
Do this for me please
Answer:
A
Step-by-step explanation:
Margot found a bungee cord that was $4.19 more than two times the cost of a thick rope. The price of the bungee cord was $6.09. Find the price of the thick rope.
Answer:
$0.95 is the price of the thick rope.
Step-by-step explanation:
$6.09 - $4.19 = $1.9. $1.9 / 2 = $0.95.
Which situation can be represented by this inequality? 50−3.50x>100−6x Select one: A. Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have less money on his gift card than David? B. Daniel has a $50 Dunkin Donuts™ gift card and spends $6 a day. David has a $100 gift card and spends $3.50 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? C.Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have more money on his gift card than David? D. Daniel has a $50 Dunkin Donuts™ gift card and spends $3.50 a day. David has a $100 gift card and spends $6 a day. What is x, the number of days that need to pass for Daniel to have the same amount of money on his gift card as David?
Answer:
Option C is correct
Step-by-step explanation:
Given: inequality is [tex]50-3.50x>100-6x[/tex]
To find: situation that can be represented by the given inequality
Solution:
Cost of Dunkin Donuts gift card with Daniel = $50
Amount spent by Daniel per day = $3.50
Cost of Dunkin Donuts gift card with David = $100
Amount spent by David per day = $6
Amount left with Daniel after x days = [tex]\$(50-3.50x)[/tex]
Amount left with David after x days = [tex]\$(100-6x)[/tex]
According to question,
Amount left with Daniel after x days > Amount left with David after x days
[tex]50-3.50x>100-6x[/tex]
So, he inequality that satisfies the situation is [tex]50-3.50x>100-6x[/tex]
Option C is correct
An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8. In which inequality does n represent the minimum number of packs the teacher needs to buy for her class?
Answer:
I think 8n >_ 60
Im not sure but thats what i put
Step-by-step explanation:
The inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.
What is Inequality?Inequality is an expression or statement of an order relationship, which involves the use of inequality signs, variables, numbers and/or algebraic expressions.
Thus:
n = number of brushes in a pack
The teacher must buy 60 brushes and above.
Thus:
8n ≥ 60 will represent the minimum number of brushes for the class.
Therefore, the inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.
Learn more about inequality on:
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6. Estimate by clustering: 56.9, 63.2, 59.3, 61.1
A. 240.0
B. 200.0
What is the inequality shown?
Answer:
Inequality is the opposite of equality and it is shown here in the line starting from -2 ends in a number of a value other than of -2 but 8 so it is inequality
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, and mode for her earnings. Write the mean, then the median, and then the mode. Separate your answers with a comma and a space. Don't forget to include the $ sign.
Example: 1, 2, 3
The mean is 1, the median is 2, and the mode is 3.
Answer:
The mean is $5.70, the median is $5, and the mode is $5
Step-by-step explanation:
Answer:
the mean is $5.7, the median is $5, and the mode is $5
Step-by-step explanation: