12321-3x3x37x37
(3)^2×(37)^2
square root = 3×37=111
Hope it helps you..!!
The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015
Answer:
The projected world population in 2015 was 8,705,121,030 people.
Step-by-step explanation:
Given that the population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year, assuming that the world population follows an exponential growth model, to find the projected world population in 2015 the following calculation must be performed :
5,000,000,000 x 1.02 ^ (2015-1987) = X
5,000,000,000 x 1.02 ^ 28 = X
5,000,000,000 x 1.741024 = X
8,705,121,030 = X
Therefore, the projected world population in 2015 was 8,705,121,030 people.
For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4272 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the power, then identify the value of β and interpret that value.
Answer:
#[tex]\beta=0.5492[/tex]
#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
Step-by-step explanation:
From the question we are told that:
Amount of sleep for adults [tex]X=P(< 6)[/tex]
Hypothesis test has power [tex]p=0.4272[/tex]
Mean [tex]\=x =4hours[/tex]
Generally the equation for [tex]\beta[/tex] is mathematically given by
[tex]\beta=1-P[/tex]
[tex]\beta=1-0.4508[/tex]
[tex]\beta=0.5492[/tex]
Therefore
This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
below
Step-by-step explanation:
domain. = ( -5 , 4)
range = ( -2 , 3)
use wxy to find the measure of
Answer:
a circle
Step-by-step explanation:
Which statement is true concerning the set {1,1,0,15, 2,3, 4,0,1,3} ?
a. The standard deviation is 4.42 and the z-score is 2.17, a mild outlier.
b. The standard deviation is 19.5556 and the z-score is 2.17, a mild outlier.
c. The standard deviation is 4.42 and the z-score is 2.71, a mild outlier.
d. The standard deviation is 4.24 and the z-score is 2.71, a mild outlier.
Answer:
I hope C option is write I hope you help
Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.
Answer:
900
Step-by-step explanation:
34/100 = 306/x
Cross multiplying, you get:
34x=30600
x=900
Total trip is 900 miles long.
19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]
Answer:
= 3 11/20
Sorry I am not doing the step by step.
A survey of 200 school children classified students by gender and the number of times Sharky's Soda was purchased each month at school. Examine the chart below, where each respondent is classified according to the two criteria.
- What percentage of boys bought 1 Sharky's? What percentage of girls bought 2 or more Sharky's?
-What percentage of people bought no Sharky's?
-How would you characterize the relationship between boys that purchased Sharky's and the total of people buying 2 or more Sharky's Soda?
Answer:
15%
65%
7.5%
Step-by-step explanation:
1.) Percentage of boys who bought 1 Sharkys
Number of boys that bought 1 sharkys = 15
Total number of boys = 100
= 15 / 100 * 100% = 15%
2.)
Percentage of girls who bought 2 or more sharkys :
Number of girls who bought 2 or more sharkys
= 65
Total number of girls = 100
= 65 / 100 * 100% = 65%
3.)
Percentage of people who bought no sharkys
Number of people who bought no sharkys = 15
Total number of people = 200
15 / 200 * 100% = 7.5%
What is the value of this expression when h= -2 and g = 5?
242 +9
Answer:
B
Step-by-step explanation:
the g is not in the root, solve everything in the root separately and then add g to it
Q4 Compute the shearing stress at the very top of the vertical web just below the flange. for a beam with the T shaped cross section shown in Figure. The shearing force V on the section of interest is 6000 N. Le
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HERE IS UR ANSWER
_____________________
formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.
τ=6000N
If a coin is tossed 55 times, and then a standard six-sided die is rolled 22 times, and finally a group of five cards are drawn from a standard deck of 5252 cards without replacement, how many different outcomes are possible
Answer:
2,994,001,920 different outcomes are possible.
Step-by-step explanation:
The coin, the die and the cards are independent events, so the fundamental counting principle is used.
Also, the order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Coin:
Tossed 5 times, each toss 2 possible outcomes, so:
[tex]2^5 = 32[/tex]
32 possible outcomes.
Die:
Tossed 2 times, each toss with 6 possible outcomes, so:
[tex]6^2 = 36[/tex]
36 possible outcomes.
Cards:
Chosen without replacement, so the combinations formula is used, 5 from a set of 52. So
[tex]C_{52,5} = \frac{52!}{5!47!} = 2598960 [/tex]
How many different outcomes are possible?
Using the fundamental counting principle:
[tex]T = 32*36*2598960 = 2994001920[/tex]
2,994,001,920 different outcomes are possible.
What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.
Answer:
slope=undefined
Step-by-step explanation:
(-5-4)/(9-9)
-9/0
[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
[tex]\frac{(-5-4)}{(9-9)}[/tex]
[tex]\frac{-9}{0}[/tex]
Because the denominator is 0, the slope is undefined.
Rise over run. The run is 0.
A rectangle with a length of 5 cm and a width of 2 cm is enlarged by a scale factor of 5. What would be the area of the new rectangle?
Area of old rectangle is multiplied by 25
Area of old rectangle is multiplied by 5
Area of old rectangle is multiplied by 20
Area of old rectangle is multiplied by 10
Area is in square units.
Square the factor: 5^2 = 25
The new area would be the area of the old rectangle multiplied by 25
Answer: Area of old rectangle is multiplied by 25
Step-by-step explanation:
Original rectangle
Length = 5 cmWidth = 2 cmArea = 2 · 5 = 10 cm²
New rectangle
Length = 5 · 5 = 25 cmWidth = 2 · 5 = 10 cmArea = 25 · 10 = 250 cm²
The area of the new rectangle = area of old rectangle × 25
Look at the images above. How are the fish food box and the shipping box similar? How are they different?
Answer:
Read below c:
Step-by-step explanation:
Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.
hope it helps c:
+
Put the following decimals in order, starting with the smallest at the top.
Smallest
5.07
5.76
50.67
55.706
50.765
Answer:
5.07, 5.76, 50.67, 50.765, 55.706
Step-by-step explanation:
When Poll Pasked students to identify their favorite kind
of TV show, 12 students, 30% of the group, said their
favorite was Sports. Poll Q asked 3 times as many
students as Poll P.
G
How many students took Poll Q?
Answer:A) The number of students who took Poll P
Step-by-step explanation:
i did it on the assignment
Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out
Answer:
the answer is b. you are basically multiplying them
what it the value of m when (2m+8)° and the other angle 24°
Answer:
m = 74
Step-by-step explanation:
2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.
Last question pls help me
Answer:
Step-by-step explanation:
684 dollars
HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)
Answer:
The x-intercept of the graph is (-2,0)
OAmalOHopeO
Type the correct answer in each box.
Consider the expressions shown below.
A B C
Complete each of the following statements with the letter that represents the expression.
is equivalent to expression
.
is equivalent to expression
.
is equivalent to expression
.
Answer:
BAC
Step-by-step explanation:
The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial shown in the picture.
A = -7x² - 2x + 5
B = 7x² - 2x + 7
C = 7x² + 2x - 5
The expression is:
= (3x² - 6x + 11) - (10x² - 4x + 6)
= -7x² - 2x + 5
= A
= (-3x² - 5x - 3) - (-10x² - 7x + 2)
= 7x² + 2x - 5
= C
= (12x² + 6x - 5) - (5x² + 8x - 12)
= 7x² - 2x + 7
= B
Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12) is equivalent to the expression B.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
Solve the following equation algebraically
3x 4 – 1 = 1874
I need help with this
Answer:
A. More students prefer Model A1 calculators than the Model C3 calculators.
The scores from the first test for students in my statistics class have an average of 70 and a standard deviation of 3. The scores from the second test has the same average and standard deviation as scores from the first test. The variance of the score from the second test given that the score in the first test is 65, is 2. Assume the scores of the students in the first test and second test are positively correlated and have a bivariate normal distribution. Calculate the average scores of the students in the second test given that the scores in the first test are 65.
Answer:
[tex]P(Y| X = 65)=66[/tex]
Step-by-step explanation:
From the question we are told that:
Mean[tex]\=x=70[/tex]
Standard Deviation [tex]\sigma=3[/tex]
Variance [tex]\sigma^2=2[/tex]
Generally the equation for Variance of Prediction is mathematically given by
[tex]\sigma_{p}^2=\sigma_{p}'^2*(1-r^2)[/tex]
Where
[tex]\sigma_{p}'^2=variance\ of\ predictor[/tex]
Therefore
[tex]2=3^2*(1-r^2)\\\\r=0.88[/tex]
Therefore
The Average score of student in 2nd test
[tex]P(Y| X = x) = \mu +\frac{p\sigma}{\sigma(x −\mu_X)}[/tex]
[tex]P(Y| X = 65) = 70 +0.88\frac{3}{3)}*(65-70)[/tex]
[tex]P(Y| X = 65)=66[/tex]
Round 86,261,785 to the nearest hundred?
Answer:
86,261,800 is your answer
Answer:
86,261,800
Step-by-step explanation:
Locating the hundreds place...
86,261,785
Look at the digit to the right of it.
86,261,785
Since the digit '8' is greater than or equal to 5, we would round up.
86,261,785 ≈ 86,261,800
Hope this helps.
PLS HELP
Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f · g and state its domain.
A) -30x2 - 9x + 12; all real numbers
B) -30x2 - 9x + 12; all real numbers except x = 4
C) -18x2 - 39x + 20; all real numbers
D) -18x2 - 39x + 20; all real numbers except x = 1
Answer:
-30x^2-9x+12 all real numbers
Step-by-step explanation:
f(x) = -6x + 3 and g(x) = 5x + 4
f(x) * g(x) = (-6x + 3) * ( 5x + 4)
FOIL
= -30x^2 -24x+15x +12
Combine like terms
=-30x^2-9x+12
The domain is what numbers x can take
There are no restrictions so all real numbers
simplify (q and (-q or p)) or (p and -(q and p))
Step-by-step explanation:
(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p
(p and not (q and p)) = (p and (not q or not p)) =
= (p and not q) or (p and not p) = (p and not q) or false =
= p and not q
so, we have in total
(q and p) or (p and not q) = (p and q) or (p and not q).
this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.
i need help plz help.i need the answer asap
Answer:
Step-by-step explanation:
If you need to use all the letters, the only other word I can see is STRUT.
Answer:
120
Step-by-step explanation:
5!
if they are looking for words that actually exist then 11
also rsm right?
If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x
Answer:
the answer could be B i think cause that makes total sense
order of operations
(20-6+4)*2+2
