Answer:
I got :
Angle theta = 7.1° (approximately)Step-by-step explanation:
see attached photo
Step-by-step explanation:
The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.
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
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
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
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
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]
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).
Given f(x)= 17- x2, what is the average rate of change in f(x) over the interval [1, 5)?
O -6
O -1/2
O 1/4
O 1
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)
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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.
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.
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)
Kevin was asked to determine the length of side XZ. His work is shown.
Which error did Kevin make?
Answer:
A.// He has the side lengths in the wrong place in the cosine ratio.
Step-by-step explanation:
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
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
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]
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:
If can someone help me.
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Answer:
Tim is correct. 5/8 > 1/2
Step-by-step explanation:
By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.
Tim's 5/8 share is the largest.
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.
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
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 is the value of log
?
1/100
I hope this is gelpful for u
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
if x varies directly as y,write a formula connecting x and y y.use k as a constant of variaton.
How many real equations does 8-4x=o have ?
Answer:1 real solution
Step-by-step explanation:
what is the answer please help
(2104ft)(1 yd/3 ft)(1 football field/100 yds
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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
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
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
Pleaseee helpppp!!! 20 points
Answer:
The correct option is (A).
Step-by-step explanation:
The given expression is :
[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]
The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².
We can write it as :
[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]
Canceling the common terms,
[tex]=\dfrac{2y^4}{x^4}[/tex]
So, the correct option is (A).
name two rays that contain the following line segments:
__
TV
__
XZ
segment TV:
ray WU
ray TU
segment XZ:
ray WZ
ray XZ
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