Given -
diameter of circle = 32ftTo find -
the circumference of the circleExplanation -
As we know, circumference of the circle = 2πr
where r signifies the radius of the circle. And radius if half of the diameter, i.e, r = d/2
Solution -
Circumference of the circle = 2πr
r = 32/2 = 6
Substituting the value of r,
Circumference of the circle = 2 × 3.14 × 6
Circumference of the circle = 12 × 3.14
Circumference of the circle = 37.6 ft
Therefore, the the circumference of the circle is 37.6 ft.
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
Answer:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.
Answer:
The length for the edge should be 6.
Step-by-step explanation:
Hope this helps
19. The product of two consecutive integers is 5 more than three times the larger
Write an equation of the line that passes through (-4, 1) and is parallel to the
line y - 3 = 2(x + 7).
Answer:
y=2x+9
Step-by-step explanation:
point slope form
y-y1=m(x-x1)
y-3=2(x+7)
m=2
y intercept: b=9
y=mx+b where m=2 b=9
y=2x+9
Richest people. Find the net
worth of the worlds three
Richest people. Put these
monetary values in Perspective
through any techniques you wish
Answer:
Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B
Step-by-step explanation:
If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.
If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.
That is more than 300 times the circumference of the Earth.
6. What is the minimum vertical distance between the parabolas [tex] y=x^{2}+1 \text { and } y=x-x^{2} ? [/tex]
Answer:
0.75.
Step-by-step explanation:
1) the required vertical distance is the distance between two vertexes.
2) according to the item 1, the coordinates of the vertexes are:
(y=x²+1): x₀=0; y₀=1;
(y=x-x²): x₀=0.5; y₀=0.25;
3) according to the item 2, the distance between 1 and 0.25 is 0.75.
What decimals round to 0.12 two answers?
Answer:
0.1
Step-by-step explanation:
1 is in the tenths place and 2 is in the hundredths place
Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change
The digit in the hundredths place is dropped
0.12 rounded to the nearest tenth (one decimal place) = 0.1
5(3 + 4) − 2 = 7 − 3(−2 + 11
Answer: what I understood from the question that you want this side and the other side so the fust side equals 33 and the second side after the equal side equals -20 so 33 = -20
Step-by-step explanation: I hope it is correct .
can i have some help? i'm kinda desperate AND please NO fake answers don't answer if you will give a fake answer
btw if you want an extra 50 points or more you could maybe help with another question i asked recently on my profile as not all of them received applicable answers
Step-by-step explanation:
Vertex form is: [tex]a(x-h)^2+k[/tex]
a) [tex]a(x+2)^2+3=y[/tex]
To find a, plug (-4,1) in for x and y.
[tex]a(-4+2)^2+3=1[/tex]
[tex]4a=-2[/tex]
[tex]a=-1/2[/tex]
so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]
b) .... I'm not sure what the second coordinate is.
c) [tex]a(x+2)^2-3[/tex]
Plug in (-5,6) for x and y.
[tex]6=a(-5+2)^2-3[/tex]
[tex]9=9a[/tex]
[tex]a=1[/tex]
so c) is [tex](x+2)^2-3[/tex]
d) [tex]a(x+2)^2+5[/tex]
Plug (1,-4) in for x and y.
[tex]-4=a(1+2)^2+5[/tex]
[tex]-9=9a[/tex]
[tex]a=-1[/tex]
so d) is [tex]-(x+2)^2+5[/tex]
Answer:
[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]
[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]
[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]
[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]
Step-by-step explanation:
Vertex form
[tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
-------------------------------------------------------------------------------------------
Part (a)
Given: vertex at (-2, 3) passes through (-4 ,1)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+3[/tex]
[tex]\implies y=a(x+2)^2+3[/tex]
Substitute the given point into the equation to find a:
[tex]\implies 1=a(-4+2)^2+3[/tex]
[tex]\implies 1=4a+3[/tex]
[tex]\implies a=-\dfrac{1}{2}[/tex]
Substitute the found value of a to form the final equation:
[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]
-------------------------------------------------------------------------------------------
Part (b)
Given: vertex at (-1, -1) passes through ?)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-1))^2+(-1)[/tex]
[tex]\implies y=a(x+1)^2-1[/tex]
Substitute the given point into the equation to find a:
**no point given**
-------------------------------------------------------------------------------------------
Part (c)
Given: vertex at (-2, -3) passes through (-5, 6)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-3)[/tex]
[tex]\implies y=a(x+2)^2-3[/tex]
Substitute the given point into the equation to find a:
[tex]\implies 6=a(-5+2)^2-3[/tex]
[tex]\implies 6=9a-3[/tex]
[tex]\implies a=1[/tex]
Substitute the given point into the equation to find a:
[tex]y=(x+2)^2-3[/tex]
-------------------------------------------------------------------------------------------
Part (d)
Given: vertex at (-2, 5) passes through (1, -4)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+5[/tex]
[tex]\implies y=a(x+2)^2+5[/tex]
Substitute the given point into the equation to find a:
[tex]\implies -4=a(1+2)^2+5[/tex]
[tex]\implies -4=9a+5[/tex]
[tex]\implies a=-1[/tex]
Substitute the given point into the equation to find a:
[tex]y=-(x+2)^2+5[/tex]
Please help me .....
[tex] \frac{80}{90} - \sqrt{50} \times {19}^{2} \div {23}^{2} [/tex]
Answer:
[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]
Order of operations (PEDMAS)
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Following the order of operations,
Carry out the exponents (and radicals) first:
[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]
[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]
Now the multiplication and division (from left to right):
[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]
[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]
Convert the fractions so that their denominators are the same:
[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]
[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]
Answer as a fraction:
[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]
Answer as a number:
[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]
A garden has an area of 286ft. It’s length is 9ft more than it’s width. What are the dimensions of the garden?
Answer:
13
Step-by-step explanation:
x × (x + 9) = x² + 9x = 286x² + 9x - 286 = 0(x - 13)(x + 22)x = 13 or -22Since you cannot have negative length, it’s 13The playlist consists of 21 songs by The Working Mamas, 12 songs
by Chef Mo Cheese, 36 songs by The Snippers, 54 by Lucy and
The Jungle Cats, and 27 by Nuestra Paradise.
Complete the probability model. Don't forget to write
each answer as a percent.
artist
The Working
Chef Mo
The
Lucy and the
Nuestra
Mamas
Cheese
Snippers
Jungle Cats
Paradise
Total
probability
14 %
Answer:
what???
Step-by-step explanation:
im not sure what you are talking about
½ z = 6
im giving 30 points so pls help !! also this is missing hw lol
1. Dwayne has 10 blue shirts and 12 red shirts. What's the ratio of blue shirts to red shirts that
Dwayne has?
Answer:
5 : 6
Step-by-step explanation:
the ratio of
blue : red
= 10 : 12 ( divide both parts by 2 )
= 5 : 6 ← in simplest form
may i have help with this problem please
Answer: 9
Step-by-step explanation:
Past the point of 12 there are a total of 9 plants represented.
-1 1/4 to the power of 2
Answer:
121/16
Step-by-step explanation:
The interquartile range is the length that contains the middle ___ (what?) of the values in a data set
Answer:
50%Step-by-step explanation:
The interquartile range is the difference between Q3 and Q1.
Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:
IQR = 75% - 25% = 50%The blank is 50%
I need help on my math hw
Because the sum of the internal angles must be equal to 180°, we will see that x = 43.75
How to find the value of x?
Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:
(x + 10)° + (3x - 5°) + x° = 180°
Now we need to solve this linear equation for x.
4x + 5= 180
4x = 180 - 5 = 175
x = 175/4 = 43.75
The value of x is 43.75
If you want to learn more about triangles, you can read:
https://brainly.com/question/2217700
How do I solve this?
Answer:
7
Step-by-step explanation:
first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8
then when you simplify its 4-5+8
which is equal to 7
Sandra is setting up a party. She has 7 bowls to put
candy in. If she wants to put 1/5 of a bag of candy in
each bowl, how many bags of candy will she use?
Answer:
7/5 = 1 2/5
Step-by-step explanation:
You need to multiply the number of bowls filled, by the amount of candy that goes into each bowl.
There are 7 bowls to fill and 1/5 of a bag of candy goes in each bowl.
7 * 1/5 = 7/5
This works out to 7/5 or 1 and 2/5.
A rectangular shelf has an area of 288 square inches. Its perimeter is 72 inches. What are the dimensions of the shelf?
I need help with this
Answer:
perimeter=4×length
so 72= 4l
divide through by 4
length=18
Answer:
24 inches x 12 inchesStep-by-step explanation:
Perimeter
2l + 2w = 72l + w = 36Area
lw = 288From the perimeter
Reaarrange the equation of the perimeter so that it equates to one of the variablesl = 36 - wSubstituting in the area formula
(36 - w)(w) = 28836w - w² = 288w² - 36w + 288 = 0w² - 24w - 12w + 288 = 0w(w - 24) - 12(w - 24) = 0(w - 12)(w - 24) = 0w = 24, 12The greater value of the two will be the length, and lesser value will be the width.
Dimensions are : 24 inches x 12 inches
Elapsed time : 2 hr and 37 min
End time : 1: 15 p.m
Answer:
what's the question? we need to know in order to help
94 POINTS!!!!!! EASY STATS QUESTION. SHOW WORK
A jar contains 4 marbles - 3 Red & 1 Blue. Two marbles are drawn with replacement after each draw. What is the probability that the same color marble is drawn twice?
Answer: hii :)
5/8Step-by-step explanation:
The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.
Hopefully this helps you
- Matthew
Answer:
[tex]\sf \dfrac58[/tex]
Step-by-step explanation:
Given:
3 red marbles1 blue marblesTotal marbles = 4[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}[/tex]
[tex]\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}[/tex]
As the marbles are replaced:
[tex]\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}[/tex]
[tex]\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}[/tex]
Therefore:
[tex]\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58[/tex]
Candace made donuts and could package 11 of them in each box if she needs 3908 donut how many full boxes would she have?
Answer:
355 full boxes. 356 if you don't count the not full one that she would need.
Step-by-step explanation:
3908/11 = 35.272727
Consider the following expression
4b+2+7a
Select all of the true statements below.
Answer:
a , c and d
Step-by-step explanation:
a , c and d are correct
6 x (12-2) + 2 to the power of 2
Answer:
84x
Step-by-step explanation:
Think you can figure out the area of this unique shape?
Answer:
20
Step-by-step explanation:
To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:
2 x 4 = 8
2 x 3 = 6
6 x 1 = 6
Then, add up all of those areas to find the total area of the unique shape:
8 + 6 + 6 = 20
The area of the unique shape is 20.
Please don't delete my question again brainly. This is all the context given. No more in the problem.
Here given that
A={People in the classroom}B={mouths in the classroom}So
Every person has one and only mouth
Means
n(A)=n(B)So
A=BBRAINLIEST+ STARS!!
A rectangular block of copper metal weighs 1890 g. The dimensions
of the block are 8 cm x 5 cm x 5 cm. From this data, what is the
density of copper?
A. 9.45 g/cm3
B. 1,690 g/cm3
C. 2,090 g/cm3
D. 0.106 g/cm3
E. 10.98 g/cm3
To find the density:
⇒ must find the relationship between the density, mass, and volume
⇒ [tex]Density = \frac{mass}{volume}[/tex]
Let's examine the information given:
weight: 1890gdimensions: 8cm * 5cm* 5cmLet's first find the volume:
⇒ the volume is the dimensions multiplied together
[tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]
LEt's calculate the density now:
[tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]
Answer: The density of the copper is 9.45g/cm^3 or Choice (A)
Hope that helps!
The half life of radium is 1690 years. if 80 grams are present now, how much will be present in 830 years
Answer:
A(t) = amount remaining in t years
= A0ekt, where A0 is the initial amount and k is a constant to be determined.
Since A(1690) = (1/2)A0 and A0 = 80,
we have 40 = 80e1690k
1/2 = e1690k
ln(1/2) = 1690k
k = -0.0004
So, A(t) = 80e-0.0004t
Therefore, A(430) = 80e-0.0004(430)
= 80e-0.172
≈ 67.4 g
Step-by-step explanation: