Answer:
1,400,000,000
Step-by-step explanation:
Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.
Hope that helps!
The result is that approximately 1.4 billion people are using social networks.
If 1 out of 5 people in the world are logging onto a social network, and the world population is 7 billion, we can calculate the number of people logging in by dividing the total population by 5.
So, the number of people logging in is:
[tex]\frac{\text{7 billion}}{5} = 1.4\text{ billion}[/tex]
So, approximately 1.4 billion people are logging into social networks, according to the headline.
The graph of the equation y = x2 - 3 is shown. Which equation will shift the graph up 6 units?
Answer:
Here’s the graph
Step-by-step explanation:
The end points of the diameter of a circle are at (-4,-5) and (6,-3). what are the coordinates of the center of the circle?
Answer:
(1,-4)
Step-by-step explanation:
Remember, the diameter of a circle crosses through the center from one side of the circle to the other. It is 2 times the radius. This means the center of the circle is the midpoint of the diameter. We find it using the midpoint formula:
[tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
[tex](\frac{-4+6}{2} , \frac{-5+-3}{2})=(\frac{2}{2} , \frac{-8}{2})=(1,-4)[/tex]
What are the actual dimensions of a television that has a 15:9 aspect ratio and a screen that is 42 inches?
Answer:
Let x be the number.
It is given that a 15 : 9 aspect ratio and a screen that is 42 inches.
Aspect ratio states that the ratio of the display image’s width to its height.
Then;
Width of the television of(w) = 15x
and
height of the television(h) = 9x.
Since, television is in the form of Rectangle.
and it is also, given that the screen is 42 inches .
⇒Diagonal of the television(D) = 42 inches
Using formula of diagonal of the rectangle :
[tex]D^2 =w^2+h^2[/tex]
Substitute the given values to solve for x;
[tex]42^2 = (15x)^2+(9x)^2[/tex]
[tex]1764 = 225x^2 + 81x^2 = 306x^2[/tex]
or
[tex]x^2 = \frac{1764}{306} = 5.76[/tex]
[tex]x = \sqrt{5.76} = 2.4[/tex]
Then:
width of the television (15x) = 15(2.4) = 36 inches and
Height of the television (9x) = 9(2.4) = 21.6 inches.
Therefore, the actual dimensions of the television are;
width = 36 inches and height = 21.6 inches.
Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest rate of 9% for x years
[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=5000(1+0.09)^x\implies A=5000(1.09)^x[/tex]
Perry won 122 lollipops playing horseshoes at the county fair. At school he gave four to every student in his math class. He only has 6 remaining. How many students are in his class
Answer:
29 students
Step-by-step explanation:
First you subtract 6 from 122 so you aren’t counting the remaining 6. You get 116
Then you divide 116 by 4 to find how many students are in his class which is 29
EASY TO ANSWER HELPP PLEASE
Answer:
(17.8 , 1.6)
which equation is represented by the table? a) y=|x-4| b) y=|x|-4 c) y=|x|+4 d) y=|x+4|
Answer:
option (a) y=|x-4| is correct.
Step-by-step explanation:
Solve the question by elimination method i.e. put values of x in the given equations and check if equality holds.
(b) if x=2, then y= |2| - 4 = -2 , which is wrong
(c) if x=2, then y = |2| + 4 = 6, which is wrong
(d) if x= 2, then y = |2 + 4| = 6, which is wrong
The equality holds for (a).
HELPPP PLZZ I REALLY NEED HELP
Answer: A.
The reason is because if you're adding a negative to a number, it's subtraction, which is in the expression.
Answer:
The answer is A.
Step-by-step explanation:
Adding a negative is the same as subtracting
2.25 ÷ 2.5 (Long division Work)
Answer:
Its 0.9
Step-by-step explanation:
this is a good enpugh answer
What is the value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2)
Final answer:
The value of the expression is -12, obtained by first converting mixed numbers to improper fractions, dividing and then multiplying the resulting fractions, and finally simplifying them.
Explanation:
The value of the expression (-8/9) divided by (-2/3) multiplied by (-4 1/2) is computed as follows:
Convert the mixed number (-4 1/2) to an improper fraction. (-4 1/2) = -4 - 1/2 = (-8/2) - (1/2) = (-9/2).Divide the fractions (-8/9) by (-2/3) by multiplying by the reciprocal of the divisor. (-8/9) ÷ (-2/3) = (-8/9) × (-3/2) = 8/3.Multiply the result by the improper fraction (-9/2). (8/3) × (-9/2) = -72/6.Simplify the resulting fraction, which gives -12 as the final answer.The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. Jake received a "magic" coin from his uncle. He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time. Based on the Law of Large Numbers, what do you think the theoretical probability of the magic coin coming up heads is? Explain how you could test your hypothesis.
The law of large number states that , if number of trials increases in an experiment , in a fair trial where each outcome has same chance of occurring or having equal probabilities,when total number of trials goes higher and higher the probabilities of each single outcome becomes approximately equal.→→In case of Experimental Probability
The Coin Possessed by Jake is a Magic coin.
Now Outcomes received by jake when he tosses the coin certain number of times.He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time.
Based on the information provided , it appears that coin is not fair . It is Unbiased.So , if we apply law of large numbers here after number of trials will go higher and higher , the chances of coming head will be more than tail i.e theoretical probability of the magic coin coming up heads is> 50%.
To test my hypothesis i have used the information provided by Jake, which shows that coin is not fair. The probability of head has more than tail i.e by 14%, 7%,8% and 12%.
Mrs. Bea’s Bakery offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the special?
Answer:
27.2
Step-by-step explanation:
32*.85=27.2
Answer:
$27.20
Step-by-step explanation:
15 percent of 32 is 4.8
32-4.8= 27.20 so $27.20
which of the following is the equation of a line that passes through the point (1,2) and is parallel to the x-axis?
A. x=2
B. y=2
C. y=1
D. x=1
Answer:
The equation of line would be y = 2
Step-by-step explanation:
Since the x-axis is horizontal, we would look for another horizontal line to be parallel. All horizontal lines can be written as y = (a number). We can find that number as the y-coordinate in the ordered pair (2)
y = 2
Two coins are tossed at the same time. What is the probability that they will both land tails up ?
- 75%
- 60%
- 25%
- 50%
Answer:
Step-by-step explanation:
If there are 4 coins and two faces on those coins then that means there are 4 faces flipping them both at the same time means it will have a 25% chance of them landing on the same side
Answer:
25%
Step-by-step explanation:
Okay so let's just say that you are tossing one coin and you want to know the chance of it landing as tails well its a 50 out of 100 chance of it being tails that is because there are two sides. But you have two so all together there are 4 sides. So let's say that each coin is 50 so now we need to find a even number for all sides, So let's just do 50 -25 = 25 so that lets us know that we can make each side 25%... So now you have a 25% chance of landing both coins as a tail.
I'm so sorry if this does not make seance I have a very hard time explaining things...
How do I graph this?
It is suggested that an adult drink 64 fluid ounces of water every day. Josey, has already consumed 700 milliliters of water. How many more liters should he drink today?
Answer:
1.3 L more.
Step-by-step explanation:
Givens
8 fluid ounces = 1 cup.
240 mL = 1 cup
Solution
4 cups = 1 L
64 fluid ounces = x cups
8/64 = 1 / x Cross multiply
8x = 64 Divide by 8
8x/8 = 64/8
x = 8 cups
So we should be drinking 8 cups a day
1 L = 4 cups
x = 8 cups Cross multiply
4x = 8 cups Divide by 4
x = 8/4
x = 2 Liters.
1 L = 1000 mL
x L = 700 mL
700 * 1 = 1000 * x
Divide by 1000
x = 700 / 1000
x = 0.7 L
He needs to drink 2 L - 0.7L
1.3 more liters.
Answer: 1.3 L
Step-by-step explanation:
There are 12 boys and 15 girls in your class.Four new students, 3 boys and 1 girl , join your class. Compare the ratio of boys and girls before and after the new students enrolled.
Answer:
4:5 ,15:16
Step-by-step explanation:
divide 12 and 15 by 3 to get 4 and 5
Michelle Smith bought 30 shares of James Company stock at $34 per share. The company paid annual dividends of $0.42 per share. What is the total annual dividend? Show work
A) 9.78
B) 12.60
C) 1.69
D) 11.97
Answer:
The right option is B) 12.60
Step-by-step explanation:
We have given,
Number of shares = 30
Cost of each share = $34
Total cost of shares = 30 × 34 = $1020
Since the company paid annual dividends of $0.42 per share.
i.e Total annual dividend company paid = 0.42 × 30
Total annual dividend company paid = $ 12.60
Hence the right option is B) 12.60
There are 9 computers and 72 students. What is the unit rate of students to computers? pleaase help meee
Answer:
1:8
Step-by-step explanation:
We know that every 9 computers there are 72 students, so if we divide 72 by 9 it will be 8. Therefore for 1 computer it has 8 students.
In a diagram shown,
PQRS is a rectangle
XY is parallel to PS
RY= 9cm
Area of PQRS = 84cm^2
Area of PXYS = 21cm^2
Work out the values of a and b
You must show all your working.
Answer:
a = 7cm
b = 3cm
Step-by-step explanation:
84 - 21 = 63cm²
XYRQ = 63cm²
63 / 9 = 7cm
a = 7cm
21 / 7 = 3cm
b = 3cm
Answer this please, thanks
Answer:
B
Step-by-step explanation:
under a dilatation about the origin of scale factor 3
since dilatation is about the origin multiply the coordinates of A, B and C by 3
A(8, 15) → A' (24, 45)
B(12, 13) → B'(36, 39)
C(8, 10) → C'(24, 30)
using the distance formula
with (x₁, y₁ ) = C'(24, 30) and (x₂, y₂ ) = B'(36, 39)
BC = [tex]\sqrt{(36-24)^2+(39-30)^2}[/tex]
= [tex]\sqrt{144+81}[/tex] = [tex]\sqrt{225}[/tex] = 15 → B
On an airplane, there are two window seats, 2 aisle seats, and 1 middle seats per row (each row sits 3 people on one side of the aisle and 2 people on the opposite side). 2 friends have requested to be seated in the same row. What is the probability that both friends will be assigned to aisle seats?
Can anyone tell me, how many total seat is it talking about in this problem?
The total number of seats in a row = 5
Lets suppose you are standing in front of the row, so you have 3 seats on one side of you then the passage of the plane and 2 seats on the other side. Out of 3 seats, 1 is window, 1 is middle and 1 is aisle. Similarly, out of the 2 seats on the other side, 1 is the window and 1 is aisle seat, Hence, a total of 5 seats.
As 2 friends have requested to be seated in the same row. So probability of them getting aisle seats becomes 2/5 for 1st friend (as there are 2 aisle seats out of 5 seats) and 1/4 (1 seat is already allocated to the friend so only 1 aisle seat is left out of 4 seats) for the second one.
So, joint probability becomes = [tex]\frac{2}{5}*\frac{1}{4}= \frac{1}{10}[/tex]
or probability becomes 0.1
Write a few sentences explaining how to determine whether a relation shown in a table or a graph is a function.
Answer:
y=f(x)
y=5x
y=3x
are examples of function
Step-by-step explanation:
definition of a function
if there is one to one relation between a relation
then it is defined as a function
for example
y=5x is a function
because when we put some value of x it gives back only one value of y as output.
y=±5x is not a function because one value of x gives two values(positive and negative) values of y hence not a function.
Which of these tables represents a function
Table D if you graph them and do the line test ( where you take a vertical line and see if it touches two points on a graph) you will see that everything else EXCPET D will be touched by the vertical line.
Gregg has a coin collection album with 275 pages. Each coin is displayed on 1/6 of a page. How many coins will fit in the page?
Answer:
1650
Step-by-step explanation:
If there are 275 pages and each page can fits 6 coins then you multiply 6 by 275.
Answer:
6 on each page; 1,650 in total coins for all the pages
Step-by-step explanation:
1. The first step is to multiply 1/6*6 to find out how many coins can fit on one page.
2.The second step is to multiply 6 *275. That equals 1,650
The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet
Answer:
A. -50 feet
Step-by-step explanation:
To find the number closest to sea level, take the absolute value of each number and see which is closest to zero.
A. -50 feet abs (-50) = 50
B. -68 feet abs (-68) = 68
C. -77 feet abs (-77) = 77
D. -86 feet abs ( -86) = 86
E. -97 feet abs (-97) = 97
The smallest number is 50. -50 ft is closest to sea level
Answer:
Step-by-step explanation:
A. 50
Multiply the polynomial
(4d-3)(-2d+1)
Answer:
-8d^2+10d-3
Hope i helped if i am wrong tell me please :)
Step-by-step explanation:
combine like terms
The area of a trapezoid is 60 square inches. The sum of the bases is 20 inches. Find the height of the trapezoid.
Answer:
The area of a polygon is the number of square units inside that polygon. Area is 2-dimensional like a carpet or an area rug.
trapezoidA trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
Example 1: Find the area of a trapezoid with bases of 10 inches and 14 inches, and a height of 5 inches.
trapezoidSolution:
area_trapezoid2.gif
a_0.gif = one_half.gif · (10 in + 14 in) · 5 in
a_0.gif = one_half.gif · (24 in) · (5 in)
a_0.gif = one_half.gif · 120 in2
a_0.gif = 60 in2
Example 2: Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.
Solution:
trapezoidarea_trapezoid2.gif
a_0.gif = one_half.gif · (9 cm + 7 cm) · 3 cm
a_0.gif = one_half.gif · (16 cm) · (3 cm)
a_0.gif = one_half.gif · 48 cm2
a_0.gif = 24 cm2
Example 3: The area of a trapezoid is 52 square inches and the bases are 11 inches and 15 inches. Find the height.
trapezoidSolution:
area_trapezoid2.gif
52 in2 = one_half.gif· (11 in + 15 in) · h.gif
52 in2 = one_half.gif· (26 in) · h.gif
52 in2 = (13 in) · h.gif
52 in2 ÷ (13 in) = h.gif
h.gif = 4 in
trapezoidSummary: To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula for the area of a trapezoid is:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height.
Step-by-step explanation:
3.25+0.5x+1 (1)/(3) + (5)/(6) x=5 (11)/(12)
solve for x
Answer,
X = 3/4
Explanation,
Step 1: Simplify both sides of the equation.
3.25 + 0.5x + (1)(1)/3 + 5/6x = (5)(11)/12
3.25 + 0.5x + 1/3 + 5/6x = 55/12
(0.5x + 5/6x) + (3.25 + 1/3) = 55/12 (Combine Like Terms)
4/3x + 3.583333 = 55/12
4/3x + 3.583333 = 55/12
Step 2: Subtract 3.583333 from both sides.
4/3x + 3.583333 − 3.583333 = 55/12 − 3.583333
4/3x = 1
Step 3: Multiply both sides by 3/4.
(3/4) * (4/3x) = (3/4) * (1)
x = 3/4
y=4x-17 into standard form
Y-4X=-17 or -4x + y =-17
to convert it into standard from you first need to get X on the left, you can do that by subtracting x from both sides,
Answer:
-4x + y = -17
Step-by-step explanation:
The standard form of a linear equation is
ax + by = c
Your equation is
y = 4x – 17 Subtract 4x from each side
-4x + y = -17