Answer:
40 is your correct answer
2. The set {0,1,-1} is closed under the operation of?
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.
Complete question is;
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?
Answer:
P(X > 42) = 0.1271
Step-by-step explanation:
We are given;
mean; μ = 50
Standard deviation; σ = 7
Formula for the z-score is;
z = (x - μ)/σ
Thus;
z = (42 - 50)/7
z = -1.14
Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.
We have;
P(X > 42) = 0.1271
Can you help me please
Answer:
no solution
Step-by-step explanation:
[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]
The LCD is 4, so multiply both sides of the inequality by 4.
[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]
[tex]2x - 6 > 2 \times (x - 3)[/tex]
[tex]2x - 6 > 2x - 6[/tex]
Subtract 2x from both sides.
[tex]-6 > -6[/tex]
Since -6 = -6, the above statement is false, so there are no solutions.
Answer: no solution
Please help quickly I really don’t understand this question and i’m freaking out.
Answer:
[tex] \frac{4 \sqrt{3x} }{9} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...Find Use proportion
24 =18/15
21
b
18
20
16
Answer:
Step-by-step explanation:
How many 3/4 inch strips for caulk to cover 10 1/2 inches
Answer:
14
Step-by-step explanation:
So let's think smart. If you look at the image I made a diagram. The 3 squares I colored in represent 3/4. It takes 14 3/4 strips to cover 10 1/2 inches.
The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14
The total inches of caulk to be covered = 10 1/2 inches
The fraction of inch strip to be used = 3/4 inches
To obtain the number of 3/4 inch strop required ;
We divide the total inches of caulk by 3/4
Hence,
10 1/2 ÷ 3/4
21/2 ÷ 3/4
Change the sign to × and take the reciprocal of 3/4 ;
21/2 × 4/3
(21 × 4) / (2 × 3) = 84 / 6
84 / 6 = 14
Hence, the number of 3/4 inch strip required is 14
Learn more : https://brainly.com/question/2610134
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
Given:
The equation of a line is:
[tex]2y+3x=10[/tex]
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
[tex]2y+3x=10[/tex]
For [tex]x=0[/tex],
[tex]2y+3(0)=10[/tex]
[tex]2y+0=10[/tex]
[tex]y=\dfrac{10}{2}[/tex]
[tex]y=5[/tex]
For [tex]x=2[/tex],
[tex]2y+3(2)=10[/tex]
[tex]2y+6=10[/tex]
[tex]2y=10-6[/tex]
[tex]2y=4[/tex]
Divide both sides by 2.
[tex]y=\dfrac{4}{2}[/tex]
[tex]y=2[/tex]
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
[tex](x,y)\to (3x,3y)[/tex]
Using this rule, we get
[tex]A(0,5)\to A'(3(0),3(5))[/tex]
[tex]A(0,5)\to A'(0,15)[/tex]
Similarly,
[tex]B(2,2)\to B'(3(2),3(2))[/tex]
[tex]B(2,2)\to B'(6,6)[/tex]
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-15=\dfrac{6-15}{6-0}(x-0)[/tex]
[tex]y-15=\dfrac{-9}{6}(x)[/tex]
[tex]y-15=\dfrac{-3}{2}x[/tex]
Multiply both sides by 2.
[tex]2(y-15)=-3x[/tex]
[tex]2y-30=-3x[/tex]
[tex]2y+3x=30[/tex]
Therefore, the equation of the line after the dilation is [tex]2y+3x=30[/tex].
Giving out brainliestttt answer !!! help me out?!!!
Answer:
F= 60.256
D = 29.744
Step-by-step explanation:
This is a completely different from the way usually I do it
B = arcsin(b·sin(A)a)
= 1.05166 rad = 60.256°
180-60.256-90 = 29.744°
Need help practice problem please
Answer:
I think there is no solution.
Step-by-step explanation:
Substitute:
Z = -3y-5x+25
X = 3y-2z-13
Put into the last formula:
14(3y-2z-13)-2y+3(-3y-5x+25) = 48
Then:
14(3y-2(-3y-5x+25)-13)-2y+3(-3y-5(3y-2z-13)) = 48
So:
14(3y-2(-3y-5(3y-2z-13)+25)-13)-2y+3(-3y-5(3y-2(-3y-5x+25)-13)) = 48
And so on.
I need help with this question I wanna say the answers B
Answer:
hi, yes the option B is the correct answer
2) What is the probability you roll an odd number on a six-
sided die ?
Answer:
1/2 or 0.5
Step-by-step explanation:
All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.
Hakim is making birdhouses. Each birdhouse uses 78 yard of wood.
What is the total length of wood Hakim will need to build 5 birdhouses?
A. 438 yards
B. 578 yards
C. 148 yards
D. 928 yards
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Answer:
390 yds
Step-by-step explanation:
Take the amount of wood per birdhouse and multiply by the number of birdhouses being made
78 * 5 =390 yds
Hope this helps!!!
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
Helpppppppppppppp:))))
Given:
Principal value = $1500
Rate of interest = 7% per annum compounded daily
Time = 2 years.
To find:
The amount after 2 years.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of time interest compounded in an year and t is the number of years.
We know that 1 year is equal to 365 days and the interest compounded daily. So, n=365.
Substituting [tex]P=1500,\ r=0.07,\ n=365,\ t=2[/tex] in the above formula, we get
[tex]A=1500\left(1+\dfrac{0.07}{365}\right)^{365(2)}[/tex]
[tex]A=1500\left(\dfrac{365+0.07}{365}\right)^{730}[/tex]
[tex]A=1500\left(\dfrac{365.07}{365}\right)^{730}[/tex]
Using calculator, we get
[tex]A\approx 1725.39[/tex]
The amount after two years is $1,725.39. Therefore, the correct option is (c).
elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the following systems could have led to this equation?
9514 1404 393
Answer:
C
Step-by-step explanation:
The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.
For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...
(4x +2y) -2(x +y) = (14) -2(3)
4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses
2x = 8 . . . . . . . . . . . . . . collect terms
A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?
Ordena de mayor a menor el siguiente grupo de fracciones y decimales
-2,14; 7/50; -2,41; -11/8; -2,1
Answer:
-2.41: -2.14: -2.1: -11/8: 7/50
What is an opposite number?
Answer:
The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.
Find the equation of a line perpendicular to x+5y=−2 that contains the point (3,0).
Perpendicular Definition:
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.
From the equation below:
[tex] \large{x + 5y = - 2}[/tex]
Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:
[tex] \large \boxed{m = - \frac{A}{B} }[/tex]
From the equation above, use the slope formula to find the slope.
[tex] \large{m = - \frac{1}{5} }[/tex]
Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.
Next we will be using the point-slope form below:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.
[tex] \large{y - 0 = 5(x - 3)}[/tex]
Simplify in the slope-intercept form as we get:
[tex] \large{y = 5x - 15}[/tex]
Answer
y = 5x-15 is perpendicular to x+5y = -2Hope this helps and let me know if you have any doubts!
What the mass of Earth's water?
Answer:
The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).
Step-by-step explanation:
A balloon is 4 ft above the ground. It is released and floats up 3 ft
every second. Write an equation to model the height of the balloon
as a function of time in seconds. Write your answers in the blanks.
Answer:
4+(3 times x)= height of balloon. x = seconds
Step-by-step explanation:
I hope this helps you! :D
What's 3 times 4/5 as a improper fraction
Shine has some money in his account.Every Month, he used the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:
Option 4) -$45 per month; the amount of money withdrawn per month
Answer:
Option 4) -$45 per month; the amount of money withdrawn per month.
Step-by-step explanation:
The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.
Which system of equations represents the matrix shown below?
Answer:
c
Step-by-step explanation:
mike is looking at the roof of a new house from the front. he notices that the roof is triangular in shape with a base 11.2m. the left side is 6.7m long and makes an angle of 72 degree with the base of the roof. if this is the only known information, determine the angle the right side of the roof makes with the base of the roof to the nearest degree. be sure to first make a sketch
Answer:
35°
Step-by-step explanation:
From the sketch made, to obtain B we use the cosine angle formula :
We have 2 so des and an included angle
Cos B = (a² + c² - b²) / 2ac
First we obtain the side c
c² = a² + b² - 2ab CosC
c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72
c = 11.13
Using the value of c
Cos B = (a² + c² - b²) / 2ac
CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)
Cos B = 204.4269 / 249.312
B = Cos^-1(204.4269 / 249.312)
B = 34.9°
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time Number of Inventors
6 A.M.-12 noon
12 noon-6 P.M.
6 P.M.-12 midnight
12 midnight-6 A.M. 295
138
311
222
Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)
6AM-12PM 12PM-6PM 6PM-12AM 12AM-6AM
Answer:
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}[/tex]
Required
The probability of each time interval
To do this, we simply divide the number of inventors in the interval by the total inventors (966)
So, we have:
[tex]P(6am-12\ noon) = \frac{6am-12\ noon}{Total}[/tex]
[tex]P(6am-12\ noon) = \frac{295}{966}[/tex]
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}[/tex]
[tex]P(12\ noon - 6pm) = \frac{138}{966}[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}[/tex]
[tex]P(6pm-12\ midnight) = \frac{311}{966}[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}[/tex]
[tex]P(12\ midnight - 6am) =\frac{222}{966}[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
Find the missing probability
P(A) = 0.8
P(B) = 0.05
P(A or B) = 0.6
P(A and B) =
Answer:
2
Step-by-step explanation:
A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is: _________.
i. q/E0
ii. q/E4Ï€E0
iii. q/4E0
iv. q/6E0
v. q/16E0
Answer:
iv. q/6E0
Step-by-step explanation:
Electric flux formula:
The electic flux formula, of a charge q is given by, through an entire cube, is given by:
[tex]E = \frac{q}{E_o}[/tex]
In which [tex]E_o[/tex] is a constant related to the material.
The electric flux through any one face of the cube is:
Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus
[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]
And the correct answer is given by option iv.
In ATUV, the measure of _V=90°, VU = 84, TV = 13, and UT = 85. What ratio
represents the cotangent of _T?
U
85
84
T
13
my last question 30 pts plzzzzzzzzz help
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
A) 48m + 12 and 3(2m + 4 + 14m)
B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.
C) m = 2
6(m + 2 + 7m)
6[2 + 2 + 7(2)]
6(4 + 14)
6(18) 1
108
3(2m + 4 + 14m)
3[2(2) + 4 + 14(2)]
3(4 + 4 + 28)
3(8 + 28) 3
(36) 108
108 = 108