Answer:
(a) The proportion is 61.23%
(b) It is more than the historical 57%
Step-by-step explanation:
This question has missing details, and they are:
[tex]n = 926[/tex] ---- The Sample Adults
[tex]x = 567[/tex] -- Those that believe global warming was real
Solving (a): The proportion of those that believe.
This is calculated as:
[tex]p = \frac{x}{n}[/tex]
Substitute values for x and n
[tex]p = \frac{567}{926}[/tex]
[tex]p = 0.6123[/tex]
Express as percentage
[tex]p = 0.6123 * 100\%[/tex]
[tex]p = 61.23\%[/tex]
Solving (b) More or less than 57%
By comparison:
[tex]61.2\% > 57\%[/tex]
Hence, it is more than the historical 57%
What is the inverse statement,"If I listen to this song, then it will get stuck in my head"?
Answer:
D. If I do not listen to this song, then it will not get stuck in my head.
Step-by-step explanation:
Answer:
"If I don't listen to this song, then it won't get stuck in my head."
3.
A man has 6 packages. Their average weight is 18 kg. Find the total
weight of the 6 packages.
Answer:
108 kg for all 6 packages
Step-by-step explanation:
Answer:
=108
Step-by-step explanation:
18 × 6 will give you 108
The circle shown above is centered at the origin and contains the point (-4, -2).
What is the length of the diameter to the nearest tenth of the circle?
Answer:
8.9 units
Step-by-step explanation:
Since, the circle is centered at origin. So, coordinates of center are (0, 0)Point (-4, - 2) is located on the circle. So, distance between (0, 0) & (-4, - 2) will be the radius of the circle.[tex] \therefore \: r = \sqrt{ {( - 4 - 0)}^{2} + {( - 2 - 0)}^{2} } \\ \\ \therefore \: r = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ \therefore \: r= \sqrt{16 + 4} \\ \\ \therefore \: r= \sqrt{20} \\ \\ \therefore \:2 r= 2 \sqrt{20} \\ \\ \therefore \:2 r=8.94427191 \\ \\ 2r = 8.9 \: \\ \\ diameter \: = 8.9 \: units[/tex]
PLEASE HELP
will mark brainliest
Answer:
Option B
[tex]A'(5,5)[/tex]
[tex]B'(5,1)[/tex]
[tex]C'(2,1)[/tex]
[tex]D'(1,5)[/tex]
[tex]----------[/tex]
hope it helps...
have a great day!!
For each pair of function f and g below, find f(g(x)) and g(f(x)).
a. f(x)=3/x,x=/= 0
b. g(x)=3/x, x=/=0
c. f(x)=x+4
d. g(x)=-x+4
Answer:
(a) and (b)
[tex]f(g(x)) = g(f(x)) = x[/tex]
(c) and (d)
[tex]f(g(x)) =-x + 8[/tex]
[tex]g(f(x)) = x + 8[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Find f(g(x)) and g(f(x)) for each pair
For (a) and (b), we have:
[tex]f(x) = \frac{3}{x}[/tex]
[tex]g(x) = \frac{3}{x}[/tex]
Calculate f(g(x))
[tex]f(x) = \frac{3}{x}[/tex]
[tex]f(g(x)) = \frac{3}{g(x)}[/tex]
Substitute 3/x for g(x)
[tex]f(g(x)) = \frac{3}{3/x}[/tex]
Rewrite as:
[tex]f(g(x)) = 3/\frac{3}{x}[/tex]
[tex]f(g(x)) = 3*\frac{x}{3}[/tex]
[tex]f(g(x)) = x[/tex]
Since f(x) = g(x), then:
[tex]f(g(x)) = g(f(x)) = x[/tex]
For (c) and (d)
[tex]f(x) =x + 4[/tex]
[tex]g(x) =-x + 4[/tex]
Solving f(g(x)), we have:
[tex]f(x) =x + 4[/tex]
[tex]f(g(x)) =g(x) + 4[/tex]
Substitute [tex]g(x) =-x + 4[/tex]
[tex]f(g(x)) =-x + 4 + 4[/tex]
[tex]f(g(x)) =-x + 8[/tex]
Calculating g(f(x))
[tex]g(x) =-x + 4[/tex]
[tex]g(f(x)) = -f(x) + 4[/tex]
Substitute: [tex]f(x) =x + 4[/tex]
[tex]g(f(x)) = x + 4 + 4[/tex]
[tex]g(f(x)) = x + 8[/tex]
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
What is the solution to this equation? 3v(1/8-x)=-1/2
Answer:
v = −4/−24x+3
Step-by-step explanation:
Let's solve for v.
3v(1/8−x) = −1/2
Step 1: Factor out variable v.
v(−24x+3/8) = −1/2
Step 2: Divide both sides by (-24x+3)/8.
v(−24x+3/8)/−24x+3/8 = −1/2/−24x+3/8
v=−4/−24x+3
0.4 divided by 29 BRAINLIEST
the answer for your question is 0.0137
maths question solve it quick pls
Answer:
(a)2 1/4
(b)1 1/2
(c)1 1/18
(d)5 7/12
Step-by-step explanation:
(a) 11/3 - 17/12 = 44/12 - 17/12 = 27/12 = 9/4 = 2 1/4
(b) 33/10 - 18/10 = 15/10 = 3/2 = 1 1/2
(c) 41/9 - 7/2 = 82/18 - 63/18 = 19/18 = 1 1/18
(d) 47/6 - 9/4 = 94/12 - 27/12 = 67/12 = 5 7/12
Hope it helped :)
What angle is vertical to angle 2?
Answer:
Answer: a = 140°, b = 40° and c = 140°
Step-by-step explanation:
Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.
What is the distance between the points M(–21, –7) and N(–5, –7)?
28 units
14 units
26 units
16 units
The amount y of your friend's allowance if the amount she receives is $5 more than the amount x you receive.
answer:
y=x+5
**i don't know what it is that you need but i hope this helps**
good luck :)
have a nice day!
What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)
Answer:
[tex]y = -\frac{21}{2}x+5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
Required
The equation in slope intercept
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
So:
[tex]m = \frac{-16 - 47}{2 - -4}[/tex]
[tex]m = \frac{-63}{6}[/tex]
Simplify
[tex]m = -\frac{21}{2}[/tex]
So, the equation is calculated as:
[tex]y = m(x - x_1) + y_2[/tex]
This gives:
[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]
[tex]y = -\frac{21}{2}(x+4) + 47[/tex]
Open bracket
[tex]y = -\frac{21}{2}x-42 + 47[/tex]
[tex]y = -\frac{21}{2}x+5[/tex]
ii need help real quick !!
Answer:
I'm confused what the question is. I think you might have attached the wrong picture
Danielle has a $30 gift card to T-Shirt-paradise . She wants to use it to buy a rock band T-shirt and a glitter T-shirt. The rock band T-shirt costs $11.95. Let x represent how much Danielle can spend on a glitter T-shirt using her gift card.
x+11.95≤30
Then x≤30−11.95x≤30−11.95
x≤18.05x≤18.05Answer:
Step-by-step explanation:
I really need to go to the store. I bought an 80 ounce container of orange juice. Right now, there's only 4 ounces left. What percent of the orange juice is left? If you're ever at my house, help yourself to the stull in my fridge.
Answer:
There is 5% of the juice left.
Step-by-step explanation:
We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.
Then we can write a relation:
80 oz = 100%
Now there are 4 ounces left, in the same way than before, we can write this as:
4 oz = X%
We want to find X%
First, let's write our equtions:
4 oz = X%
80 oz = 100%
We can take the quotient between these two equations to get:
(4oz/80oz) = (X%/100%)
We need to solve this for X%, then we get:
(4oz/80oz)*100% = X% = 5%
This means that 4 oz is 5% of the initial volume of the juice container.
Then we can conclude that there is 5% of the juice left.
The ratio of children to adults is 4 to 3. How many children are there if there are 2700 adults?
Answer:
2025 children
Step-by-step explanation:
4 2700
-- = --------
3 x
cross multiply
4x = 8100
x = 2025
PLEASE GIVE ME AN ANSWER!!!!ILL MARK BRAINLIEST ANSWER
Answer:
3 3/4
Step-by-step explanation:
3.75 square ft per hr.
5/8 x 6 = 3.75
7n - 4 (8n+4) = 159
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
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Answer:
14130 yd³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3}[/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(30 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {15}^{3} [/tex]
[tex] = \frac{42390}{3} [/tex]
= 14130 yd³
Help me find this perimeter please
Answer:
52 in
Step-by-step explanation:
I added all the sides I already know which is 10+5+5+16= 36
then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in
A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents this situation?
If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water
I don't know if I solved it the way you needed me to, but I hope it helps
I don't know what the answer choices are so yeah.
In sixteen years Paul will be 48 years old.
How old is he now?
Answer:
32 years old
Step-by-step explanation:
48-16=32
Answer:
Paul is 32 years old
Step-by-step explanation:
48 - 16 = 32
Help with the question plz people
You are cheating. I see this is a test.
A student runs laps around a track. Each lap is 1/4 mile. The student runs 2 1/2 miles each day and has a goal to run a total of 45 miles. The student wrote this equation to find x, the number of days needed to complete the goal.
Answer:
x=18 days
Step-by-step explanation:
since the student runs 2 1/2 miles everyday divide that into 45 miles and you get 18 therefore x=18
Kristin charges $30 to train a small dog, and $50 to train a big dog. If Kristin trains 15 small dogs and 6 big dogs, how much money will she make?
Answer:
$750
Step-by-step explanation:
We can set up the equation 30x + 50y = z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.
After plugging in the x and y values to solve for z, we are left with the following equation:
30(15) + 50(6) = 750
Find the point on a circle that has a radius of 8 with an angle of rotation of 130 degrees centered at (-3,5)?
look at pic 10 pts will mark brainilest
Answer:
1,400
Step-by-step explanation:
Evaluate for x=2
100(2^3+2^2+2)
=1400
PLZ give me brainliest
This is not a question it’s just for those who need an answer for questions for 3-1 lesson quiz in savvas for 6th grade math. Feel free to use the answer in the following photos below
Answer:
thank you very much, this will be of much help