12. A number from 1-30 is chosen at random.
What is the probability that the number is
not a prime number?
Answer:
2/3
Step-by-step explanation:
let S be number of sample space
n(S)= 30
n(not prime number) =20
Pr(not prime number)=20/30
=2/3
Yuki just bought a big-
screen TV set. The
screen has a diagonal
measure of 40 in. If the
screen is 32 in. wide,
how high is it?
Answer:
24 I think..
Step-by-step explanation:
a^2 + b^2 = c^2
32^2 + b^2 = 40^2
b^2 = 1600 - 1024
b^2 = 576
b = 24
Kate has a coin collection. She keeps 7 of the coins in a box which is only 5% of her entire collection.
Answer:
She has 140 coins in total.
Step-by-step explanation:
Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.
Hope this helps you!
A rectangle has an area of 96 in2. The rectangle's base is 4 in. What is the height of the rectangle?
A. 384in
b. 24in
c. 92in
d. 100in
Answer:
B. 24
Step-by-step explanation:
Formula for area of a rectangle: base × height/ length × width
To find the height, divide the area by the base.
[tex]96/4=24in[/tex]
[tex]formula=base *height/length*width[/tex]
[tex]4*24=96in^2[/tex]
difference between the median and mean scores.
Answer:
Mean = sum of the terms/ number of terms
Median is the middle number of the data
Step-by-step explanation:
Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord
Answer:
1.5
Step-by-step explanation:
The answers are given in the solution below.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given is topics related to circle and its part we need to answer the question asked,
1) to 7) Given is a circle T,
a) Radius = TS, QT and RT all are the radius
b) Diameter = QS
c) Chord = PS
d) Central angle = ∠ RTQ
e) Minor arc = arc QR
f) Major arc = arc QSR
g) Semicircle = QPS
8) to 9) :-
a) Circle with radius 18 in :-
Circumference = 2π×radius = 2×3.14×18 = 113.04 in
Area = π·radius² = 3.14×18² = 1017.36 in²
b) Circle with diameter 25 m :-
Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m
Area = π·radius² = 3.14×12.5² = 490.625 m²
10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,
Area = π·radius² = 201.06 cm²
radius² = 201.06 / 3.14
= 64
radius = 8 cm
Diameter = 16 cm
Circumference = 2π×radius = 2×3.14×8 = 50.24 cm
11) :-
Circle with radius P :-
The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°
a) ∠ KPL = 90°
So, by linear pair sum, ∠ NPL = 90°
Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°
∠ NPM = 27°
By using vertical angles rule, ∠ JPK = ∠ NPM = 27°
Therefore, arc JK = 27°
b) arc NJ = 180° - 27° = 153°
c) arc JL = 90°+27° = 117°
d) arc KNM = 360°-(90°+63°) = 207°
e) arc MJL = 360°-63° = 297°
f) arc JLK = 360°-27° = 333°
12) :-
arc CD + arc AD = 180°
Therefore,
19x-49°+5x+37° = 180°
24x-12 = 180°
24x = 192°
x = 8
Therefore,
arc CD = 5x+37 = 74°
13) :-
Length of an arc = central angle / 360° × 2π×radius
= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm
14) :-
= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft
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If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
square root of 225/16 AS A FRACTION!!!
The solution is, square root of 225/16 is 15/4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
225/16
=15^2/4^2
so, square root of 225/16
=√15^2/4^2
=15/4
Hence, The solution is, square root of 225/16 is 15/4.
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Solve: 8 (5 + 3)
1. What number are you distributing?
2. Show your work
3. Answer is?
Answer:
64
you are distrbuting both the 8 which =64
Step-by-step explanation:
See the steps below:)
Answer:
Step-by-step explanation:
8(5+3)
You distribute what's in the Parentheses
8 x 5 = 40 and 8 x 3 = 24
40+24 = 64
The diameter of a circular swimming pool is 15 feet. Find the circumference.
Help me with this please
Answer:
60
Step-by-step explanation:
All angles have to add up to 180
180/3 equals 60
Answer:
X= 60
Step-by-step explanation:
180÷3=60
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There were 24 students running in a race. How many different arrangements of first,
second, and third place are possible?
Find the sum. Enter your answer in the box below as a fraction, using the slash mark (/) for the fraction bar. 7/17 + 9 /17
ASAP PLEASE ‼️‼️❗️‼️‼️❗️
A group of 25 people are going to run a race. The top 12 finishes advance to the finals. find the of possibilities.
Answer:
I dont know what thats asking
Step-by-step explanation:
HELPPP PLEASE
Also I used line A as a place holder I don’t know if it’s right
Answer:
Line A is the right answer.
Answer:
a is right linear means straight line
Step-by-step explanation:
plsssssssssssss help
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
none of the others match to the red triangle
I need help with this question
Answer:
1/3
Step-by-step explanation:
13/39 = 1/3
Answer:
It is 1/3
Step-by-step explanation:
because 13/39=1/3
PLEASE HELP!!!!!!!!!
Answer:
if I had to guess I whould say i
use the information given to find the value of n in each of the following sets of number
Answer:
No picture try uploading it again and I can see if I can help you
Please don’t report I need help. I’m going to be a high school sophomore next fall and I’m selecting my courses should I take Geometry I or Algebra II?????
Answer:
I would say geometry. its easier
sketch 0=7pi/6 in standard position
Answer:
i need to get the full question, then i can help u. goodluck :)
Step-by-step explanation:
Please Help!!!! Write an exponential function. In your own words, describe the rate of change of this function and what the graph looks like.
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15
B. All real numbers such that 180 < x < 300
C. All real numbers
D. All real numbers such that x>0
Answer:
The domain is 15 ≤ x ≤ 25
Step-by-step explanation:
The given parameters are;
The number of hours Miguel works each week = Between 15 and 25 hours
The amount he is paid per hour = $12
Therefore, we have;
The domain is all real numbers, 'x', such that 15 ≤ x ≤ 25
The amount Miguel makes each week, 'y' is between; 12 × 15 ≤ A ≤ 12 × 25
Therefore the range is 180 ≤ y ≤ 300.
hi pls, help me with this, I am giving 15 points 10 for answering the question and 5 for telling me what is Q1 meaning and Q2 meaning ty!
The table below shows 10 data values:
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
What values of minimum, Q1, median, Q3, and maximum should be used to make a box plot for this data?
A.) Minimum = 121, Q1 = 125, median = 133.5, Q3 = 136, maximum = 140
B.) Minimum = 121, Q1 =136, median = 133.5, Q3 = 125, maximum = 140
C.) Minimum = 125, Q1 = 130.25, median = 132.5, Q3 = 134.5, maximum = 138
D.) Minimum = 125, Q1 =134.5, median = 132.5, Q3 = 130.25, maximum = 138
Answer:
we have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)
Step-by-step explanation:
minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
I did this a long time ago so im not so sure
Answer:
Step-by-step explanation:
121 122 125 126 132 135 136 136 138 140
140 -121 =19 range
Min=121 max =140
Mean = 131.1
Median = 132+135=267/2=133.5
If a box has 5 red, 3 green, and 4 blue jelly beans, then what is the probability of choosing
at random a red jelly bean?
7/12, 5/12, 1/12, 2/7
Answer:
2/7
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).
The numerator is 5 because that's the number of red beans in the box.
What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction
Answer:
C. y=7
Step-by-step explanation:
guy above me was right
The horizontal asymptote of the given function [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex] would be y = 7.
When do we get horizontal asymptote for a function?The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.
The given function is
[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]
We need to determine the horizontal asymptote.
Horizontal asymptote;
From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.
Then, the horizontal asymptote is the y-axis.
Thus, the horizontal asymptote is y = 7.
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Calculate AC
Round to the nearest tenth.
Answer:
3,266.53
Step-by-step explanation:
i looked it up :)
Answer:
AC = 11.4
Step-by-step explanation:
6/sin 23 = AC/sin 132
6 sin 132/sin 23 = AC
AC = 11.4
pls help me on this !!!!!!!!!!!
Answer:
11.8 m
Step-by-step explanation:
2/3πr^3=1100π
r^3=1650
r=11.8
8.92 kilograms equal how many decigrams
Answer:
89200
Step-by-step explanation:
Which is the inverse of the difference of 1/3-1/4?
A.0/1
B.1/12
C.7/12
D.12/1
Answer:o/1
Step-by-step explanation: