Answer:
0.74751
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ, where
x is the raw score = $460
μ is the population mean = $490
σ is the population standard deviation = $45
z = 460 - 490/45
z = -0.66667
Probability value from Z-Table:
P(x < 460) = 0.25249
P(x > 460) = 1 - P(x<460)
P(x > 460) = 1 - 0.25249
P(x > 460) = 0.74751
The probability that a randomly selected teacher earns more than $460 a week is 0.74751
(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ
Answer:
See below
Step-by-step explanation:
[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]
Thus proved
Solve this 2 step equation 3x-7=20
Answer:
x=9 if thats what your asking
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3x-7=20
3x=20+7
3x=27
X=27/3
X=9
So the value of X is 9
Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?
A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.
Is this a valid conclusion?
Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.
Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.
No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.
Answer:
C
Step-by-step explanation:
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.
Given that,
A statement is given we have to justify which among the option is the correct reason.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.
Thus, Option C is correct.
Learn more about Statistics here:
https://brainly.com/question/23091366
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Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
The equation is y =______.
Answer:
The equation is y =6x-84.
Step-by-step explanation:
We need to find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
Slope of required line
The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.
Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6
So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope = 6
Finding y-intercept of required line
Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula
[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]
Equation of required line:
The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:
[tex]y=mx+b\\y=6x-84[/tex]
The equation is y =6x-84.
Solve for www. -4(w+1) = -24
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-4w-4=-24
-4w=-24+4
-4w=-20 to find w divide both side by -4
-4w/-4 =-20/-4
w=5
Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.
Answer:
0.02
Step-by-step explanation:
Given a normal distribution :
Mean income (m) = 25000
Standard deviation of income (s) = 6000
X ≥ 12000
Using the relation to fund the standardized score :
Zscore =(x - m) / s
Zscore = ( 12000 - 25000) / 6000
Zscore = -13000 / 6000
Zscore = - 2.167
Using a z probability calculator :
P(Z ≤ - 2.167) = 0.015117
= 0.02
Calculate the volume
Please show the steps...
Answer:
(a) 2.6 m^2
(b) 3.9 m^3
Step-by-step explanation:
(a)
ABCD is a trapezoid.
A = (B + b)h/2
A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2
(b)
The skip is shaped like a prism with trapezoidal bases.
V = area of base * height
V = 2.6 m^2 * 1.5 m = 3.9 m^3
find the measure of 0. (to the nearest tenth).
A) 36.9
B) 38.7
C) 51.3
D) 53.1
Answer:
B) 38.7
Step-by-step explanation:
Answer:
A) 36.9
Step-by-step explanation:
took the test :)
Find the equation of the line. Use exact numbers.
Anybody know the answer to this ?
Answer:
13.08 United States Dollars
PLEASE HELP FAST AND CORRECT! 50 POINTS
Answer:
So glass 2/3 full than full 2/3 glass so full 3 than so
Step-by-step explanation:
SOURCE TRUST ME BRO
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answer:
I think the answer is 720!
Step-by-step explanation:
Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost
Answer:
Alex and his two friends had to pay $ 7.25 for a ticket.
Step-by-step explanation:
simply divide $21.75 by 3
Answer:
i believe its $7.25
Step-by-step explanation:
$21.75 divided by 3 = $7.23
Four hot air balloons each descend 295 feet per minute for 7 minutes. Find the total change in altitude for all 4 balloons.
The total change in altitude for all 4 balloons is
(blank) feet.
Answer:
There is descending of 8260 feet in altitude for all 4 balloons.
Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided A B C D
Answer:
D. Julie’s assets decreased by more than her liabilities.
Hope it helps❣️
What is the value of 3-(-2)?
Answer:
6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-(-2) is equal to +2, so the equation is 3+2 which is 5
Which angles are alternate interior angles explain
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
8x-2 (6x + 4) simplify by using the distributive property
Answer:
48x^2+ 20x-8
Step-by-step explanation:
Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)
Answer:
x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...
x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More
Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
A coat discount 40% off it's regular price. Which value is equivalent to 40%
Which linear regression equation best fits the given points?
(1,18), (4,15), (5,11), (8,9), (10,7), (13,4), (15,0)
yˆ=65x+19.2
yˆ=56x−19.2
yˆ=−65x+18.9
yˆ=−56x−18.9
Answer:
Here you go! Hope I am not to late..
Step-by-step explanation:
I took the test.
Match each equation with its graph
Answer:
The first graph would be y=5x+2
The second graph would be y=3x+3
The third graph would be y=2x+3
Step-by-step explanation:
First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.
Second Graph: x = -1.
y=3
The line in the graph goes through both.
Third Graph: x = -1.5
y = 3
The line also goes through both.
The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False
Answer:
True
Step-by-step explanation:
Hope this helped :)
Answer:ITS FALSE!!
Step-by-step explanation:
Find the next term of the following sequence. 25,10,4
Answer:
8/5
Step-by-step explanation:
25/10=2.5, 10/4=2.5, 4/2.5=1.6
What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
If {x) = 3x + 2, what is (5)?
You mean f(x) = 3x+2 and what is f(5)?
f(5) = 3(5)+2
f(5) = 15+2
f(5) = 17
So f(5) = 17
someone helppp please!!
Answer:
because ΔMLN ≅ ΔYZX
=> MN = YX = 4
Step-by-step explanation:
Answer:
I think its four
Step-by-step explanation: