Answer:
79,816,000 people
Step-by-step explanation:
Given:
People Age 25 above = 79,816,000 people
Required
Determine the population of people over 25
The first statement of the question reads:
"In the U.S., [tex]79,816,000[/tex] people age 25 and over......"
This statement answers your question;
Hence;
Required Population = 79,816,000 people
What is the correct reason for statement 3?
what is the surface area means
Answer:
that is the outsider part.of something
the sum of the areas of all the faces of a three dimension figure or in 3-D shapes
help will give brainliest
Answer:
-10+4=-6
Step-by-step explanation:
Point P is on line segment OQ. Given OP = 14 and OQ = 16, determine the
length PQ
Answer:
PQ = 2
Step-by-step explanation:
We know that OQ = OP + PQ. Since OQ = 16 and OP = 14, we know that 16 = 14 + PQ, therefore, PQ = 2.
The sum of two numbers is 48. The larger number is 7 less than four times the smaller number. Find the numbers.
Answer:
Larger number = 37
Smaller Number = 11
Step-by-step explanation:
Lets take x as the bigger number and y as the smaller number
x + y = 48
What do we know?
The larger number is 7 less than four times the smaller number
so 4y - 7 = x
Lets replace the equation obove with x
4y - 7 + y = 48
5y - 7 = 48
5y = 48 + 7
y = 55/5
y = 11
Then multiply 11 by 4 11 times 4 = 44 and subtract by 7 44 - 7 = 37
To recheck add 37 to 11 and u should get 48
If you want to go bed a 800 o'clock
at night and set the alarm to get up at
9 in the morning how many hours
sleep would this permt you?
Answer:
13 hours
Step-by-step explanation:
8:00 plus 4 is twelve ( 12 o'clock )
then you have 9hrs left.
( 4+9=13 )
Determine ux and sigma x from the given parameters of e population and sample size.
mu = 86, sigma = 16, n = 64
Suppose a simple random sample of size n = 36 is obtained from a population with mu = 71 and sigma = 6.
A) Describe the sampling distribution of xbar.
B) What is P (xbar > 73)?
C) What is P (xbar 69)?
D) What is P (69.8 < xbar < 72.5)?
1) Choose the correct description of the shape of the sampling distribution of xbar.
A) The distribution is skewed left.
B) The distribution is approximately normal.
C) The distribution is uniform.
D) The distribution is skewed right.
E) The shape of the distribution is unknown.
Find the mean and standard deviation of the sampling distribution of x-.
2) P(x->73) =.
3) P (x- 69) =.
4) P (69.8 < xbar < 72.5) =.
Answer:
The mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is 86
The standard deviation of the sampling distribution [tex]\sigma_x[/tex] is 2
The mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is 71
The standard deviation of the sampling distribution [tex]\sigma_x[/tex] is 1
B) The distribution is approximately normal.
[tex]\mathbf{P(\overline x >73) = 0.0228}[/tex]
Therefore, the probability that the sample mean is greater than 73 = 0.0228
[tex]\mathbf{P(\overline x \leq 69) = 0.0228}[/tex]
The probability that the sample mean is less than or equal to 69 is 0.0228
[tex]\mathbf{P( 69.8 \leq \overline x \leq 72.5) = 0.8181}[/tex]
Thus, the probability that the sample mean is between 69.8 and 72 is 0.8181.
Step-by-step explanation:
We are to determine the [tex]\mu_{\overline x}[/tex] and [tex]\sigma_x[/tex] from the given parameters of a population and sample size.
Given that :
population mean [tex]\mu[/tex] = 86
population standard deviation [tex]\sigma[/tex] = 16
sample size n = 64
From the central limit theorem's knowledge, we know that as the sample distribution approximates a normal distribution, the sample size gets larger. Thus, the mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is equal to the population mean [tex]\mu[/tex]
∴
[tex]\mu_{\overline x}[/tex] = [tex]\mu[/tex] = 86
The standard deviation of the sampling distribution can be computed by using the formula:
[tex]\sigma_{\overline x } = \dfrac{\sigma }{\sqrt{n}}[/tex]
[tex]\sigma_{\overline x } = \dfrac{16 }{\sqrt{64}}[/tex]
[tex]\sigma_{\overline x }= \dfrac{16 }{8}[/tex]
[tex]\mathbf{\sigma_{\overline x } = 2}[/tex]
∴
The mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is 86
The standard deviation of the sampling distribution [tex]\sigma_x[/tex] is 2
Suppose a simple random sample of size n = 36 is obtained from a population with mu = 71 and sigma = 6.
i.e
sample size n = 36
population mean [tex]\mu[/tex] = 71
standard deviation [tex]\sigma[/tex] = 6
From the central limit theorem's knowledge, we know that as the sample distribution approximates a normal distribution, the sample size gets larger. Thus, the mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is equal to the population mean [tex]\mu[/tex]
∴
[tex]\mu_{\overline x}[/tex] = [tex]\mu[/tex] = 71
The standard deviation of this sampling distribution [tex]\sigma_{\overline x}[/tex] can be estimated as :
[tex]\sigma_{\overline x }= \dfrac{\sigma }{\sqrt{n}}[/tex]
[tex]\sigma_{\overline x }= \dfrac{6 }{\sqrt{36}}[/tex]
[tex]\sigma_{\overline x } = \dfrac{6 }{6}[/tex]
[tex]\mathbf{\sigma_{\overline x } = 1}[/tex]
∴
The mean of the sampling distribution [tex]\mu_{\overline x}[/tex] is 71
The standard deviation of the sampling distribution [tex]\sigma_x[/tex] is 1
A)
The correct option from the given question is:
B) The distribution is approximately normal.
B) What is P (xbar > 73)?
i.e
[tex]P(\overline x >73) = P \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} > \dfrac{73 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]
[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{73 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]
[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{2 }{\dfrac{6}{6}} \end {pmatrix}[/tex]
[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{2 \times 6 }{6} \end {pmatrix}[/tex]
[tex]P(\overline x >73) = P \begin {pmatrix} Z > \dfrac{12 }{6} \end {pmatrix}[/tex]
[tex]P(\overline x >73) = P \begin {pmatrix} Z > 2 \end {pmatrix}[/tex]
[tex]P(\overline x >73) = 1- P \begin {pmatrix} Z < 2 \end {pmatrix}[/tex]
Using the Excel Function ( =NORMDIST(2) )
[tex]P(\overline x >73) = 1- 0.9772[/tex]
[tex]\mathbf{P(\overline x >73) = 0.0228}[/tex]
Therefore, the probability that the sample mean is greater than 73 = 0.0228
C) What is P (xbar ≤ 69)?
i.e
[tex]P(\overline x \leq 69) = P \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{69 -71 }{\dfrac{6}{\sqrt{36}}} \end {pmatrix}[/tex]
[tex]P(\overline x \leq 69) = P \begin {pmatrix}Z \leq \dfrac{-2 }{\dfrac{6}{6}} \end {pmatrix}[/tex]
[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq \dfrac{-2 \times 6 }{6} \end {pmatrix}[/tex]
[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq \dfrac{-12 }{6} \end {pmatrix}[/tex]
[tex]P(\overline x \leq 69) = P \begin {pmatrix} Z \leq -2 \end {pmatrix}[/tex]
Using the EXCEL FUNCTION ( = NORMSDIST (-2) )
[tex]\mathbf{P(\overline x \leq 69) = 0.0228}[/tex]
The probability that the sample mean is less than or equal to 69 is 0.0228
NOTE: This text editor can't contain more than 5000 characters so the last part of the question is attached in the image below.
Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 3 P4(x) =
Answer:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Step-by-step explanation:
Given:
f(x) = ln(x)
n = 4
c = 3
To find:
nth Taylor polynomial for the function, centered at c
Solution:
The Taylor series for f(x) = ln x centered at 3 is:
[tex]P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]
Since c = 3 So,
[tex]P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}[/tex]
Now
f(3) = ln 3
f'(x) = 1/x ⇒ f'(3) = 1/3
f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9
f'''(x) = 2/x³ ⇒ f'''(3) = 2/3³ = 2/27
f[tex]^{(4)}[/tex] (x) = -6/x⁴ ⇒ f[tex]^{(4)}[/tex] (3) = -6/3⁴ = -6/81 = - 2/27
So Taylor polynomial for n=4 is:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Express (-3 - i) - (5 + 3i) in the form of a + ib.
Answer:
Step-by-step explanation:
=-3-i-5-3i
=-8-4i
3x^2+11x+6 in factor form
Answer: (3x+2)(x+3)
Step-by-step explanation: Factor by grouping.
I hope this helps you out.
Answer:
[tex](3x+2)(x+3)[/tex]
Step-by-step explanation:
[tex]3x^{2} +11x+6[/tex]
Let's factor.
[tex]3x^{2}+11x+6[/tex]
This equals
[tex](3x+2)(x+3)[/tex]
Now you got your answer!
Hope this helps!
Evaluate the expression (7+6i)−(−9−8i) and write the result in the form a+bi.
Remove the parentheses and combine the like terms:
7 - -9 = 7+ 9 = 16
6i - -8i = 6i +8i = 14i
The answer is 16 + 14i
Parallel lines /////////////
Answer:
38°
Step-by-step explanation:
∠4=∠2
∠2=∠6
∠6=38°
So ∠4=38°
Answer:
The answer is 38°
Step-by-step explanation:
When both lines are parallel, their vertical opposite angles will be the same. So ∠4 = 38°.
Find the distance between X (5, 7) and Y (-6, 6).
Round answer to the nearest tenth.
Answer: 11.0 or 11
Step-by-step explanation:
To find the distance first find the difference between the coordinates. find the change in the x and y coordinates and square them to add them to get a number and find the square root of that same number to find the distance.
x coordinates: 5-(-6)= 11
y coordinate: 7-6 = -1
Now square them
11^2 + 1^2 = l^2 where l is the distance
121 + 1 = l^2
122 =l^2
l = [tex]\sqrt{122}[/tex]
l = 11.045 Rounded to the nearest tenth is 11.0
Which operation would be completed second in the following expression?
33 + 11-10-2x4
simplify the exponent
add
divide
multiply
Answer:
I THINK IT WILL BE HELPFUL
whats 5 less than 1 third
Answer:
-0.66666666666
Step-by-step explanation:
1/3-5/5
Question 1 (1 point)
Find the volume of a cube whose side length is 2.5 feet.
Volume
3
S
side 3
Answer:
Answer:
v=15.625ft³ or 15.63ft³
Step-by-step explanation:
v=s³
v=2.5³
v=15.625
round off to the nearest hundredth
v=15.63ft³
4) half of 14
thank u
Answer:
7
Step-by-step explanation:
:)
it's so easy :))))))))
Answer:
Half of 14 is 7
Step-by-step explanation:
Total hours worked for Hans Zupp is ___ .
a ) 40 hours 15 minutes
b ) 42 hours 35 minutes
c ) 44 hours 15 minutes
d ) 46 hours 15 minutes
Answer:
Option (D)
Step-by-step explanation:
Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours
Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours
Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours
Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00
= 46:15 hours
≈ 46 hours 15 minutes
Option (D) will be the answer.
Express the quotient 36/12
Answer:
Step-by-step explanation:
36/12 = 3
12 x 3 = 36
how much time with it take for 450 to yield 81 as interest at 4.5 per annum of simple interesst
Answer:
4 years
Step-by-step explanation:
The formula for simple interest is useful here.
I = Prt
where P is the principal invested at rate r for t years.
Fill in the given values and solve for t:
81 = 450×0.045×t
81/20.25 = t = 4
It will take 4 years for 450 to yield 81.
Expresa el siguiente número 14322000000000000 en notación científica *
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
Sarah received a score of 36 points on an exam. The exam consisted of multiple choice questions that were worth 3 points for a correct answer and free response questions that were worth 5 points for a correct answer. If she answered a total of 10 questions correctly, how many of each type of question did she get correct?
Answer:
Sarah answered 7 multiple choice questions and 3 free response questions correctly.
Step-by-step explanation:
Given that: she has 36 points.
3 points each for the multiple choice question (MCQ)
5 points each for the free response question (FRQ)
To determine how many of each question was answered correctly. Let the number of MCQ she answered be represented by x and FRQ by y.
3x + 5y = 36 ............ 1
Since she answered a total of 10 question, then;
x + y = 10
x = 10 - y ................ 2
Substitute equation 2 into 1,
3(10 - y) + 5y = 36
30 - 3y + 5y = 36
2y = 6
y = 3
Substitute the value of y in equation 2,
x = 10 - y
= 10 - 3
= 7
x = 7, y = 3
Therefore, Sarah answered 7 multiple choice questions and 3 free response questions.
One serving of a certain brand of yogurt contains 7g of fat. The low-fat version contains 38.25% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
7g-100%
x-38,25
38,25*7:100=2,6775g
7g-2,6775g=4,4325g
Step-by-step explanation:
which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
8^15÷8^−3 im lost i dont get this whole simply thing at all
8^15 ÷ 1/8^3 = 8^15 x 8^3=8^18
1.8014399e+16
Step-by-step explanation:
So before you can divide the numbers you have to simplify the exponents. You probably learned P(parentheses) E(exponents) M(multiply) D(divide) A(add) S(subtract.
PEMDAS is important because it shows you what order to so something in. Exponents is before divide so you simplify the exponents and you get 8^15= 3.5184372e+13 and 8^-3 = 0.001953125. So after you simplify the exponents you can now divide themNow (3.5184372e+13) ÷ (0.001953125) = 1.8014399e+16how many kilometres are there in 1 metre
Answer:
0.001km
1km is 1000m
So, 1m is 1m divided by 1000km
Which gives 0.001km
There are 0.001 kilometres in 1 metre.
1000 metre =1 kilometre
1 metre=1/1000 kilometre
Write the equation of a line with a slope of 3 and passing through the point (-5, -7).
Show steps please
Answer:
y = 3x +8
Step-by-step explanation:
[tex](-5 ,-7)=(x_1,y_1) \\m = 3\\[/tex]
Plug in values into point-slope form
[tex]y -y_1 =m(x-x_1)\\y - (-7) = 3(x - (-5))\\y +7 =3(x+5)\\y+7 =3x+15\\y = 3x +15-7\\y = 3x +8[/tex]
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (5. - 12), endpoint (4-7)
The other endpoint is
(Type an ordered pair)
Answer:
(6, -17)
Step-by-step explanation:
Given the coordinate of a midpoint, (5, -12), and one endpoint, (4, -7), the other endpoint can be determined as follows:
The midpoint formula is given as [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex].
Since we are given ordered pairs of the midpoint and one endpoint, we would find the other ordered pair of the endpoint as shown below.
Let the other endpoint be [tex] (x_1, y_1) [/tex]
Midpoint = M(5, -12)
Let the given endpoint = [tex] (4, -7) = (x_2, y_2) [/tex]
Thus:
[tex] M(5, -12) = (\frac{x_1 + 4}{2}, \frac{y_1 +(-7)}{2}) [/tex]
Rewrite the equation to find the coordinates of the other endpoints
[tex] 5 = \frac{x_1 + 4}{2} [/tex] and [tex] -12 = \frac{y_1 - 7}{2} [/tex]
Solve for each:
[tex] 5 = \frac{x_1 + 4}{2} [/tex]
[tex] 5*2 = \frac{x_1 + 4}{2}*2 [/tex]
[tex] 10 = x_1 + 4 [/tex]
[tex] 10 - 4 = x_1 + 4 - 4 [/tex]
[tex] 6 = x_1 [/tex]
[tex] x_1 = 6 [/tex]
[tex] -12 = \frac{y_1 - 7}{2} [/tex]
[tex] -12*2 = \frac{y_1 - 7}{2}*2 [/tex]
[tex] -24 = y_1 - 7 [/tex]
[tex] -24 + 7 = y_1 - 7 + 7 [/tex]
[tex] -17 = y_1 [/tex]
[tex] y_1 = -17 [/tex]
Ordered pair of the other endpoint is (6, -17)
write 7*7*7 in standard form
Answer:
Step-by-step explanation:
343
Answer:
7^3
Step-by-step explanation:
7 to the power of 3. Because there are 3, 7's so you are multiplying 7 3 times
Find the area of the isosceles triangle.
Answer:
60in^2
Step-by-step explanation:
Area of a triangle = Height x Base X 1/2
Base = 10
Other 2 sides = 13
Now, let's split the Base into 2 parts.
=> 1 part = 5 and 2 part = 5
We can find the height using Pythagorean theorem
=> Isosceles triangle
=> (1 part of the base)^2 + Height^2 = The Hypotenuse^2 = the longer side of a triangle = 13^2
=> 5^2 + Height ^2 = 13^2
=> 25 + Height^2 = 169
=> 25 - 25 + Height ^2 = 169 - 25
=> Height^2 = 144
=> Height = Square root of 144
=> Height = 12
Area = 12 x 10 x 1/2
=> 12 x 5
=> 60 in^2
So, the Area is 60 in ^2