Answer:
In total there are 50 students.
Step-by-step explanation:
Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:
7 + 10 + 6 + 3 = 26
Account = 20 - 7 - 6 = 7
Mathematics = 21 - 10 - 6 - 3 = 2
History = 18 - 3 = 15
26 + 7 + 2 + 15 = X
50 = X
Therefore, in total there are 50 students.
For a statistics project, Lauren distributed a questionnaire and asked her classmates to fill it out. 2 of them did.
Is this sample of the students in the class likely to be representative? Yes or no
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−5,−1) and (−3,−8)
Answer:
[tex]d=\sqrt{53}[/tex]
Step-by-step explanation:
We need to find the distance between two points i.e. (−5,−1) and (−3,−8).
It can be calculated using distance formula as follows :
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8
Put all the values,
[tex]d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}[/tex]
So, the distance between the points is equal to [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form(-3,5) and (-5,-2)
Can y’all help me on question 26?!
Answer:
im pretty sure the answer is D. let me kno if im right
How many kiloliters are there in 19,000 milliliters?
A. 19
B. 1.9
C. 0.019
D. 0.0019
Answer:
C
Step-by-step explanation:
To convert milli- to kilo-, move the decimal point six places to the left
The Isosceles Trapezoid is part of an Isosceles triange with a 32° vertex angle. What is the measure of an acute base angle of the trapezoid?
Answer:
[tex]b = 74^o[/tex] --- acute base
Step-by-step explanation:
Given
See attachment for the figure
Required
The acute base angle of the trapezoid
From the question, the isosceles triangle and the trapezoid share the same base.
Represent the base angle with b.
So:
[tex]b + b + 32^o = 180^o[/tex] --- angles in a triangle
[tex]2b = 180^o-32^o[/tex]
[tex]2b = 148^o[/tex]
Divide by 2
[tex]b = 74^o[/tex]
The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answer: The area of the screen at AT&T Stadium = 17150 square foot.
Step-by-step explanation:
When two shapes are similar then,
[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]
As per given , we have
[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]
Hence, the area of the screen at AT&T Stadium = 17150 square foot.
The following frequency distribution presents the five most frequent reasons for hospital admissions in U.S. community hospitals in a recent year.
Reason Frequency (in thousands)
Congestive heart failure 990
Coronary atherosclerosis 1400
Heart attack 744
Infant birth 3800
Required:
a. Construct a frequency bar graph.
b. Construct a relative frequency distribution.
c. Construct a relative frequency bar graph.
d. Construct a relative frequency Pareto chart.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Reason \to Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990[/tex]
[tex]Coronary\ atherosclerosis\to 1400[/tex]
[tex]Heart\ attack \to 744[/tex]
[tex]Infant\ birth\to 3800[/tex]
Solving (a): Frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the frequency (on the y-axis).
See attachment
Solving (b): Relative frequency distribution
The relative frequency is calculated as:
[tex]RF = \frac{F}{Total}[/tex]
Where
[tex]Total = 990+1400+744+3800[/tex]
[tex]Total = 6934[/tex]
So, we have:
[tex]Congestive\ heart\ failure \to \frac{990}{6934} = 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to \frac{1400}{6934} = 0.2019[/tex]
[tex]Heart\ attack \to \frac{744}{6934} = 0.1073[/tex]
[tex]Infant\ birth\to \frac{3800}{6934} = 0.5481[/tex]
So, the relative distribution is:
[tex]Reason \to Frequency \to Relative\ Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to 1400 \to 0.2019[/tex]
[tex]Heart\ attack \to 744 \to 0.1073[/tex]
[tex]Infant\ birth\to 3800 \to 0.5481[/tex]
Solving (c): Relative frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the relative frequency (on the y-axis).
See attachment
Solving (d): Relative frequency Pareto chart
First, calculate the cumulative relative frequency
This is done by adding up the previous relative frequency,
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.2019+0.1427=0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.3446+0.1073 = 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 0.5481+4519 =1[/tex]
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 1[/tex]
Next, we simply plot the reasons (on the x-axis) against the cumulative relative frequency (on the right) and the left of the Pareto chart.
See attachment
Find the equation of the line with m=6 and b = -7. Write the equation in slope intercept form.
Answer: [tex]y=6x-7[/tex]
Step-by-step explanation:
We use the formula y=mx+b to put it into slope-intercept form
m=6 (slope)
b=-7 (y-intercept)
Therefore, the answer is y=6x-7
7 degrees per millisecond converted to 7 degrees per second
Step-by-step explanation:
find the arithmetic mean of given data 12 15 18 20
According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.
Answer:
[tex]H_o:\mu = 395000[/tex]
[tex]H_a:\mu < 395000[/tex]
Step-by-step explanation:
Given
[tex]\mu = 395000[/tex] -- mean price
Required
Determine the null and alternate hypotheses
From the question, we understand that the mean price is:
[tex]\mu = 395000[/tex]
This represents the null hypothesis
[tex]H_o:\mu = 395000[/tex]
The belief that the home prices are lower represents the alternate hypothesis
Lower means less than
So, the alternate hypothesis is:
[tex]H_a:\mu < 395000[/tex]
When a fair dice is thrown, what is the probability of getting a number greater than 4? (Reduce to simplest form)
Answer:
I searched the q and this is what I found
Step-by-step explanation:
Explanation: Number greater than 4 are 5 and 6 . So required probability is 26=13.
(2104ft)(1 yd/3 ft)(1 football field/100 yds
9514 1404 393
Answer:
7 1/75 football fields
Step-by-step explanation:
Multiply it out. The units of feet and yards cancel, leaving football fields.
= (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields
= 7 1/75 football fields
On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
To win the game, a contestant must select both buckets that contain a ball. Find the
probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Answer:
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Step-by-step explanation:
The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
8 covered buckets, so N = 8.
4 buckets are selected, so n = 4.
2 contain a ball, which means that k = 2.
Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]
0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.
Factor the expression. x2 + 7x+ 10
Answer:
Make me a Brainlist plsStep-by-step explanation:
x²+7x+10=0
ur answer is there in image
Area and circumference of this circle
Answer:
Step-by-step explanation:
Given: The radius is 6 cm
To find the area + circumference we need to use 2 formulas:
Area: pi* radius^2
Circumference: 2*pi*r
First we can do the area
I will use "pi" for pi instead of 3.14
pi * 6^2
= 36 pi
The area is 36 pi
Next, circumference
2 * pi *r
2*pi*6
= 12 pi
So the area is 36 pi, and the circumference is 12 pi
What are the coordinates of the point that is 1/5
of the way from A(-7,-4) to
B(3,6)?
A. (-5,0)
B. (-5,-2)
C. (0,3)
O D. (1,4)
9514 1404 393
Answer:
B. (-5, -2)
Step-by-step explanation:
That point is ...
A + 1/5(B - A)
= (-7, -4) + 1/5(3 -(-7), 6 -(-4)) = (-7, -4) +1/5(10, 10)
= (-7, -4) +(2, 2) = (-5, -2)
The point (-5, -2) is 1/5 of the way from A to B.
please help I'm not good with word problems
Answer:
7 5/8
Step-by-step explanation:
5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8
how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 50 L of a 50% alcohol solution
Step-by-step explanation:
Question 264138: How many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution? x=8 gallons of 65% solution is used. 20-8=12 gallons of 40% solution is used.
please mark as brainliest
A rectangular pyramid with a base of 9 units by 4 units and a height of 7 units.
Which is the correct calculation for the volume of the pyramid?
One-third(36)(7)= 84 units3
One-half(36)(7) = 126 units3
36(7) = 252 units3
36(7)(3) = 756 units3
The answer is A.
Hope this helps! can i have brainliest lol
Answer:
a
Step-by-step explanation:
How many real equations does 8-4x=o have ?
Answer:1 real solution
Step-by-step explanation:
what is the answer please help
Describe the shape that would result from a horizontal slice of the figure below.
PLEASE ANSWER FAST ILL MARK BRAINLEIST.!!!
Answer:
A triangular prism and a trapezoidal prism, if I understand the question
Step-by-step explanation:
There wound be a trapezoid and a triangle if you cut it horizontally. If you mean vertically, it would be a right triangular prism
Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________
Answer:
$21.04
Step-by-step explanation:
123.76 x 17% = 21.0392 = 21.04
A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False
Answer:
False
Step-by-step explanation:
This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.
Therefore, it's B ( false).
If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?
Answer:
[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers
Step-by-step explanation:
[tex]a(x) = 3x+1[/tex]
[tex]b(x)=x-4[/tex]
[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]
Therefore, the domain of the composite function is all real numbers.
To make it more easier for everyone, it's on Khan Academy and this problem is in Algebra 1 to be specific. Solve for x.
3x−8≤23 AND −4x+26≥6
Choose 1 answer:
A: x ≤ 31/3
B: x ≤ 5
C: 5 ≤ x ≤ 31/3
D: There are no solutions
E: All values of x are solutions
Answer:
B: x≤5
Step-by-step explanation:
Hi there!
We're given two inequalities; 3x−8≤23 and −4x+26≥6
We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)
First, let's solve for x in both of them
taking the first inequality:
3x−8≤23
add 8 to both sides
3x≤31
divide by 3
x≤31/3
now solve for x in −4x+26≥6
subtract 26 from both sides
-4x≥-20
divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number
x≤5
now let's graph these two inequalities to find the intersection, and that is below with the answer
Hope this helps! :)
name two rays that contain the following line segments:
__
TV
__
XZ
segment TV:
ray WU
ray TU
segment XZ:
ray WZ
ray XZ
estimate the quotient for the following problems. 482 ÷ 5
Answer:
100
Step-by-step explanation:
482 ÷ 5 = 96.4
96.4 -> 100
Hope this helps! Brainliest?
Answer:
Quotient: 96
Step-by-step explanation:
482/5= 96R2
Quotient: 96
Remainder: 2
How many hours did we spend in class?
a. 2 hours
b. 3 hours
C. 4 hours
d. 5 hours
Answer:
D. 5 hours that's clostest to the actual time we spent
Step-by-step explanation:
the actual time would be more around 6 hours
6.2704 x 10v4 in standard form
Answer:
62704
Step-by-step explanation:
Given 6.2704 x 10^4
To convert to standard form:
6.2704 * 10^4
10^4 = 10*10*10*10 = 10000
6.2704 * 10000 = 62704
Hence, 6.2704 x 10^4 = 62704 in standard form
