Answer:
B) 1,000,907
Step-by-step explanation:
1,000,907 is the next number after 1,000,906.
I neeeeeeeeeeeeeed help
9514 1404 393
Answer:
14 +2i
Step-by-step explanation:
For this sort of problem, you can treat i as though it were a variable. Combine like terms.
(8 -7i) +(6 +9i) = (8 +6) +(-7 +9)i
= 14 +2i
y = (x) = (1/16)^x
Find f(x) when x = (1/4)
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
Evaluate: 2^-4=
A1/8
B-16
C1/16
D-8
Answer:
C) 1/16
Step-by-step explanation:
2*2*2*2=16
Therefore, 2^(-4)=1/16.
Answer:
C) [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
2⁻⁴
2⁴ = 2 × 2 × 2 × 2 = 16
[tex]\frac{1}{16}[/tex]
Write an explicit formula for an, the nth term of sequence 2,4,8
Answer:
2^n will be your explicit formula for this sequence.
Step-by-step explanation:
By analyzing the sequence;
2=2^1
4=2^2
8=2^3
and so on
We find that the numbers of this sequence progresses with 2 to the power of the nth term such as for 3rd term we have 2^3 which is 8.
Work out the following calculations and give your answers to the nearest 1000
a) 251 x 638
Answer:
160,000
Step-by-step explanation:
251
× 638
_______________
2008
753
+ 1506
__________________
160138
Product to the nearest thousand = 160,000
Can y’all help me on question 31?!
Answer:
D
Step-by-step explanation:
Area of 1 surface=1×16=16 square units
hence, 16×6=96 square units
Which angle is NOT coterminal with 110 degrees
-250degrees
480degrees
-110 degrees
830 degrees
a triangular prism where the area of each base is about 20 square inches, the length of each side of the base is 6 inches, and the height of the prism is 2 inches
Answer:
94 square inches I don't have an explanation
3. Suppose college faculty members with the rank of professor at two-year institutions earn an average of $52,500 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year institutions in the United States. A. What are the mean and standard deviation of the sampling distribution for n
Answer:
The right answer is "516.3978".
Step-by-step explanation:
Given:
Sample mean,
[tex]\mu=52500[/tex]
Standard deviation,
[tex]\sigma=4000[/tex]
Random sample,
[tex]n = 60[/tex]
We can say that, the sample mean will be equivalent to the population mean.
So,
⇒ [tex]\mu_\bar x=\mu[/tex]
[tex]=52500[/tex]
hence,
The standard deviation will be:
⇒ [tex]\sigma_\bar x[/tex] = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
[tex]=\frac{4000}{\sqrt{60} }[/tex]
[tex]=516.3978[/tex]
Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.
Answer:
[tex]y = -2x - 13[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
Parallel lines:
If two lines are parallel, they have the same slope.
y = −2x − 5.
This line has slope [tex]m = -2[/tex], which is the same as the line we want to find, as they are parallel. So
[tex]y = -2x + b[/tex]
(−4, −5)
This means that when [tex]x = -4, y = -5[/tex]. We use this to find b. So
[tex]y = -2x + b[/tex]
[tex]-5 = -2(-4) + b[/tex]
[tex]b = -5 - 8 = -13[/tex]
So
[tex]y = -2x - 13[/tex]
The measure of angle NOP is:140 What is the value of x?
Answer:
value of X
x+23 =140
x. =140-23
x. =117
Answer:
Hello! answer: x = 117
Step-by-step explanation:
140 - 23 = 117
therefore x = 117 Hope that helps!
From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____. a. 2 b. greater than 2 c. 3 d. less than 2
Answer:
a. 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation is known to be 14.
This means that [tex]\sigma = 14[/tex]
Sample of 49
This means that [tex]n = 49[/tex]
The standard error of the mean is
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]
So the correct answer is given by option a.
Which represents the value of s in s + 12 = 100?
Answer:
S = 88
Step-by-step explanation:
s + 12 = 100
-12 -12
s = 88
The value of s in s + 12 = 100 is 88
How to determine the value of s?The equation is given as:
s + 12 = 100
Add -12 to both sides of the equation
s = 100 -12
Evaluate
s = 88
Hence, the value of s in s + 12 = 100 is 88
Read more about equations at:
https://brainly.com/question/2972832
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PLEASE HELP
h(3) = 5x2^-x , Evaluate the function h (3)
The table shows a soccer team’s number of wins, losses, and ties. A 2-column table with 3 rows titled Soccer Statistics. Column 1 has entries wins, losses, ties. Column 2 has entries 15, 5, 2. What do the ratios 15:5 and 15:22 represent? 15:5 compares losses to wins and 15:22 compares games to wins. 15:5 compares wins to losses and 15:22 compares wins to games. 15:5 compares wins to losses and 15:22 compares wins to ties. 15:5 compares wins to ties and 15:22 compares wins to games.
Answer:
The answer is C
Answer:
Step-by-step explanation:
the answer is 15:5 compares wins to losses and 15:22 compares wins to ties. HOPE THIS HELPS
Please give the rigbt answer ill give brainliest
Which expression is equivalent to (3b +2r) + (4b + r )
Answer:
Step-by-step explanation:
The one that looks most closely to this.
(3b + 2r) + (4b + r) Remove the brackets.
3b + 2r + 4b + r Rewrite so the terms are close to each other.
3b + 4b + 2r + r Combine
7b + 3r or
3r + 7b
One of the two of these can be given as an answer. Please give choices if you want me to give an exact answer.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 7b + 3r}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \: (3b + 2r) + (4b + r)[/tex]
➼[tex] \: 3b + 2r + 4b + r[/tex]
Combining like terms, we have
➼[tex] \: 3b + 4b + 2r + r[/tex]
➼[tex] \: 7b + 3r[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Which inequality represents all values for X for which the product below is defined?
Answer:
x ≥0
Step-by-step explanation:
Given the product:
√(5x)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(5x)*√(x+3)≥0
Find the product
√(5x)(x+3)≥0
Square both sides
(5x)(x+3)≥0
5x≥0 and x+3≥0
x≥0/5 and x ≥0 - 3
x ≥0 and x ≥-3
Hence the required inequality is x ≥0
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3903 grams and a standard deviation of 446 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4884 grams. Round your answer to four decimal places.
Answer:
0.9861 = 98.61% probability that the weight will be less than 4884 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3903 grams and a standard deviation of 446 grams.
This means that [tex]\mu = 3903, \sigma = 446[/tex]
If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4884 grams.
P-value of z when X = 4884. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4884 - 3903}{446}[/tex]
[tex]Z = 2.2[/tex]
[tex]Z = 2.2[/tex] has a p-value of 0.9861
0.9861 = 98.61% probability that the weight will be less than 4884 grams.
how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern doesn't that just make every thing worthless cause what's the point if every thing repeats and no this is not about history
Math makes everything easier without math people would be sitting there all day wondering about simple things like money and how many eggs are in a carton
Avi, Caleb, Rosa, Sonya, and Zamir compared recent quiz scores and learned that some of their quizzes differed in the number of questions. Zamir answered .75 of the 40 questions on his test correctly. Caleb answered 12 fewer questions correctly then Zamir, but he had only 25 questions on his test. Caleb and Rosa had the same number of quiz questions, but Rosa solved 1 more question correctly than Caleb. What was the percentage score for each of the students?
Answer:
Zamir 75%
Caleb 72%
Rosa 76%
Work
Zamir
.75=75%
75*40=3000
3000/ 100= 30
Zamir got 30 out of 40 questions right
Caleb
30-12=18
Caleb got 18 out of 25 questions right now find percent
18*100=1800
1800/ 25= 72
Caleb got 72%
Rosa
18+1=19
Rosa got 19 out of 25 questions correct now find percent
19*100=1900
1900/ 25=76
Rosa got 76%
THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
Eight More than the product of 24 and a number use the variable n to represent the unknown number
Answer:
24n + 8 = 0
Step-by-step explanation:
Let the unknown number be n.
From the question, we can deduce the following points;
- product of 24 and a number = 24 * n
- eight more than the above calculation = 24n + 8
Therefore, translating the word problem into an algebraic expression, we have;
(24 * n) + 8 = 0
24n + 8 = 0
Simplifying further, we have;
24n = -8
n = -8/24
n = -1/3
I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?
Answer:
[tex]y=2\sin(x)-1[/tex]
Step-by-step explanation:
Let's break it down:
In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:
[tex]a[/tex] represents Amplitude [tex]b[/tex] represents a constant related to the Period[tex]c[/tex] represents Phase Shift [tex]d[/tex] represents Vertical ShiftTo find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore
[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].
To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.
Thus, we've found:
[tex]a=2[/tex] [tex]b=1[/tex] [tex]c=0[/tex] [tex]d=-1[/tex]Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:
[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]
The perimeter of a is 99 ft, and the lenght is twice the width. What are its dimensions?
Answer:
no
Step-by-step explanation:
no no no no no no no no no no no no no no no no no no no
Question 12
Find the volume.
Answer:
16 ft³
Step-by-step explanation:
Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height
Volume
[tex] = \frac{1}{3} \times (4 \times 3) \times 4[/tex]
[tex] = \frac{1}{3} \times 12 \times 4[/tex]
= 16 ft³
The Environmental Protection Agency records data on the fuel economy of many different makes of cars. Data on the mileage of 20 randomly selected cars are listed below. The values are ordered for convenience.
12 13 15 16 16 17 18 18 19 19
20 20 22 23 24 26 26 27 27 29
What is the interquartile range for the mileage data?
A) 8.5 miles per gallon
B) 16.5 miles per gallon
C) 17 miles per gallon
D) 25 miles per gallon
Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given
[tex]x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}[/tex]
[tex]n = 20[/tex]
Required
The IQR
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
Calculate [tex]Q_1[/tex]
[tex]Q_1 = \frac{1}{4}(n + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(20 + 1)th[/tex]
[tex]Q_1 = \frac{1}{4}(21)th[/tex]
Remove bracket
[tex]Q_1 = 5.25th[/tex]
This means that:
[tex]Q_1[/tex] is the mean of 5th and 6th item
From the given data:
[tex]5th \to 16[/tex]
[tex]6th \to 17[/tex]
So, we have:
[tex]Q_1 = \frac{1}{2}(16 + 17)[/tex]
[tex]Q_1 = \frac{1}{2}(33)[/tex]
[tex]Q_1 = 16.5[/tex]
[tex]Q_1 = 16.25[/tex]
Calculate [tex]Q_3[/tex]
[tex]Q_3 = \frac{3}{4}(n + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(20 + 1)th[/tex]
[tex]Q_3 = \frac{3}{4}(21)th[/tex]
Remove bracket
[tex]Q_3 = 15.75th[/tex]
This means that:
[tex]Q_3[/tex] is the mean of 15th and 16th item
From the data:
[tex]15th \to 24[/tex]
[tex]16th \to 26[/tex]
So:
[tex]Q_3 = \frac{1}{2}(24 + 26)[/tex]
[tex]Q_3 = \frac{1}{2}(50)[/tex]
[tex]Q_3 = 25[/tex]
Recall that:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 25 -16.5[/tex]
[tex]IQR = 8.5[/tex]
The surface area of this cylinder is
The width of rectangle is 6 fr less than the lengthThe area of the rectangle is 247f Find the lengthand with of the rectangle
Answer:
i don't know 241 I think sorry
answer???
please help
Answer:
150°
Step-by-step explanation:
M = 58° + 92° (ext angles of a triangle)
M= 150°
Answer:
92+58=1
1=150
measure of angle1 is 150