Step-by-step explanation:
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Answer:
a) x = 7/2
b) x = 4/3
c) x = 1/2
d) x = 13/7
Step-by-step explanation:
(this is the same process for every one of them. I did C for you)
Let's solve your equation step-by-step.
6x=3
Step 1: Divide both sides by 6.
6x/6 = 3/6
x=1/2
hey circular plot of land has a diameter of 14 yards what is the area of the land use 3.14 for pie
Answer:
153.86 yards²
Step-by-step explanation:
A(Circle) = πr² where r = radius.
r = d/2 where r = radius and d = diameter.
r = 14/2 = 7 yards.
(3.14)(7)² = (3.14)(49) = 153.86 yards²
On average, the shoppers across McMaster Univerisity have 2 customers per hour and assuming that for the next hour the number of customers denoted by X, follows a Poisson Distribution. Find the probability that at least two customers are there for the next hour.
Answer:
0.5940 = 59.40% probability that at least two customers are there for the next hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
On average, the shoppers across McMaster Univerisity have 2 customers per hour
This means that [tex]\mu = 2[/tex]
Find the probability that at least two customers are there for the next hour.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]
[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1353 + 0.2707 = 0.4060[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4060 = 0.5940[/tex]
0.5940 = 59.40% probability that at least two customers are there for the next hour.
slope of 3,-4 and 5,8
Answer:
Slope = 6
Step-by-step explanation:
Use the slope formula:
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\m=\frac{-4-8}{3-5}\\m=\frac{-12}{-2}\\m=6[/tex]
Answer:
6
Step-by-step explanation:
(3,-4) and (5,8)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-4)) / (5 - 3)
Simplify the parentheses.
= (8 + 4) / (5 - 3)
= (12) / (2)
Simplify the fraction.
12/2
= 6
This is your slope.
Hope this helps!
Emile has calculated a one-tailed z-statistic of -1.97 and wants to see if it is significant at the 5% significance level.
What is the critical value for the 5% significance level? Answer choices are rounded to the hundredths place.
Answer:
Z = -1.65
Step-by-step explanation:
Z-score:
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.
What is the critical value for the 5% significance level?
One-tailed statistic, so Z with a p-value of 0.05.
Looking at the z-table, this is Z = -1.65, so this is the critical value for the 5% significance leve.
(a) A color printer prints 23 pages in 7 minutes. How many minutes does it take per page? minutes per page
7 min = 23 pages
To find out the amount of time the color printers to print one page we need to do 7/23 min.
Answer: 7/23
Find the area of the parallelogram
A) 37.12 square units
B) 14.5 square units
C) 29 square units
D) 32 square units
Answer:
C 29 square units
Step-by-step explanation:
a = bh
a = 5.8 * 5
a = 29 square units
Answer:
C 29 square units
Step-by-step explanation:
a = bh
multiply
5.8 * 5
29 square units
hope this helps :)
Each edge of a cube is 9 centimeters long. Find the total length of all the edges of the cube.
Answer:
108 centimeters
Step-by-step explanation:
There are 12 edges total.
9 x 12 = 108
Determine the period of this Function.
Answer:
4p
Step-by-step explanation:
The period is basically the difference in x from one "peak" to the other "peak".
The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:
[tex]|peak_1-peak_2|=period[/tex]
We know the first peak is at about x=0[tex]\pi[/tex]
We know the second peak is at about x=4[tex]\pi[/tex]
So plugging this in:
[tex]|0-4\pi |=4\pi[/tex]
So the period is [tex]4\pi[/tex]
I am assuming "p" stands for [tex]\pi[/tex], so the answer should be 4p.
There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.
Here is an example:
5sin(5x+2)+3
If we want to find period, we need to find what we call "b"
b is the number in front of x, which we can identify as bx, which in this case is 5x above.
Now what do we do with this "b"?
This is the value we need to find our period.
If you know b, you can use this formula to find the period:
[tex]\frac{2\pi }{b}=p[/tex]
And when we plug in b:
[tex]\frac{2\pi }{5}[/tex]
=
1.257, which would be your period.
THis can also be reworked so that you can find b:
If the formula for period is [tex]\frac{2\pi }{b}=p[/tex], then the opposite formula would be [tex]\frac{2\pi }{ p}=b[/tex]
And when you plug the period you have in:
[tex]\frac{2\pi }{1.257}[/tex]
=
5
Anyway, your answer is 4p.
Hope this helps!
Xavier shoots a basketball in which the height, in feet, is modeled by the equation,h(t) = -4t2 + 10 + 18, where t is time, in
seconds. What is the maximum height of the basketball?
Answer:
The maximum height of the basketball is of 24.25 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Height of the basketball:
Given by the following function:
[tex]h(t) = -4t^2 + 10t + 18[/tex]
Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]
What is the maximum height of the basketball?
y(in this case h) of the vertex. So
[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]
[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]
The maximum height of the basketball is of 24.25 feet.
9.
slove this question
Answer:
[tex]\sqrt{x^2 + y^2}[/tex]
Step-by-step explanation:
to find diatance between AB
A(0 , 0) = (x1 , y1)
B(x , y) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(x - 0)^2 + (y - 0)^2}[/tex]
=[tex]\sqrt{x^2 + y^2}[/tex]
The table shows ordered pairs of the function y=8-2 x . What is the value of y when x=8 ?
The table shows ordered pairs of the function y=8-2 x . What is the value of y when x=8 ?
Solution:-The given value of x is 8.
we have to find the value of 'y' , so,
▶️ y = 8-2 x
▶️ y = 8-2 × 8
▶️ y = 8-16
▶️ y = -8
Answer:-The value of y is -8.
[tex] \\ \\ [/tex]
PLEASE HELP LAST THING I NEED ON MATH
WILL GIVE BRAINLIEST, THANKS AND 5* VOTE
TROLL = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
Answers:
side a = 12.3 unitsangle B = 100 degreesside b = 15.8 units===========================================================
Explanation:
Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.
Let's use the given angles to find the missing angle B
A+B+C = 180
50+B+30 = 180
B+80 = 180
B = 180-80
B = 100
Now we can apply the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(100) = 8/sin(30)
b = sin(100)*8/sin(30)
b = 15.7569240481953
b = 15.8
Make sure your calculator is in degree mode.
----------------------------
We'll do the same thing to find side 'a'
a/sin(A) = c/sin(C)
a/sin(50) = 8/sin(30)
a = sin(50)*8/sin(30)
a = 12.2567110899037
a = 12.3
Both values for 'a' and b are approximate (even before rounding).
-----------------------------
Extra info (optional)
As you can probably tell or guess, the phrasing "solve the triangle" means "find all sides and angles".Notice how if we erase the question marked sides and angles of the original drawing, we're left with something in the AAS case. Meaning that exactly one triangle is possible here. We don't have to worry about any ambiguous case.If you wanted, you could apply the law of cosines rule after you determine two sides and an included angle between them. This will yield the length of the side opposite the angle.Answer:
B=100
b=15.7
a=12.25
Step-by-step explanation:
first find the missing angle:
B=180-50-30
B=100
then use the law of sines:
[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]
then
[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]
use the same way to find the other side
[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s. At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
Answer:
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
Step-by-step explanation:
Volume of a right circular cone:
The volume of a right circular cone, with radius r and height h, is given by the following formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Implicit derivation:
To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So
[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]
Radius is 107 in. and the height is 151 in.
This means that [tex]r = 107, h = 151[/tex]
The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.
This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]
At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.
This is [tex]\frac{dV}{dt}[/tex]. So
[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]
[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]
[tex]\frac{dV}{dt} = 1926[/tex]
Positive, so increasing.
The volume of the cone is increasing at a rate of 1926 cubic inches per second.
A 45°-45°-90° triangle has a hypotenuse that is 16‾√ 2 cm long. Each leg of the triangle is ___ cm long
Answer:
16 cm.
Step-by-step explanation:
in order to calculate the required leg of the given triangle it is possible to use the formula: leg=hypotenuse / √2.
according to the formula above the required leg is: 16 cm.
A journalist releases a monthly sports column. Patrons can get either an electronic subscription or a paper subscription. The expression 325(1.03)x represents the number of electronic subscriptions after x months. The expression 345(0.97)x represents the number of paper subscriptions after x months. Which expression reveals the approximate rate of change for the ratio of the number of electronic subscriptions to the number of paper subscriptions?
(1.06)x
(1.66)x
(0.86)x
(0.94)x
Answer:(1.06^x)
Step-by-step explanation:
What is the Area of the shaded portion in the square.
Step-by-step explanation:
Area of the squre is pi -360/2
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now.
________ residents (round to nearest whole number)
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that [tex]A(0) = 2463, n = 12[/tex]. So
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
Approximate the population of the town 5 years from now.
This is A(5). So
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]
Rounding to the nearest whole number, 3893 residents.
How do I do this?? Help plse!
The values for three sets of data are shown below.
Data
Data Set
Values
1
42, 48, 50, 88, 49
2
63, 29, 35, 28, 30
3
2, 5, 3, 8
Without calculating any statistics, Anna knows that data set 3 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 1 and 2 contain outliers.
Set 3 has the least mean.
Set 3 contains an outlier.
Sets 1 and 2 have an odd number of values.
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Answer:
it seems like you already have this answered?
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Please help I will give you Brainlyest
Answer:
below
Step-by-step explanation:
Clare's mistake was the writing of 4000 in standard form
he wrote 4 ×10²
instead of 4 ×10³
Answer:
Step 1
Step-by-step explanation:
I believe Claire's mistake is when she tries to simplify 4000
She says that 4000 = 4 × 10²
4000 is actually equal to 4 ×10³
PLSSSS HELP ASAP !!! PLSSS WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
See below.
Step-by-step explanation:
Angle 7 and Angle 4Angle 1 and Angle 5Answer:4000000
Step-by-step explanation:783
Classify the quadrilateral.
Answer:
Step-by-step explanation:
An answer should never depend on a diagram. The figure has 4 equal sides which means that it could be a square or a rhombus because both have 4 equal sides.
The question does depend on a diagram. Because the figure is leaning a little to the left, you should answer that it is likely a rhombus. You should object to the question.
Two cubical dice each have removable numbers 1 through 6. The twelve numbers on the two dice are removed, put into a bag, then drawn one at a time and randomly reattached to the faces of the cubes, one number to each face. The dice are then rolled and the numbers on the two top faces are added. What is the probability that the sum is 7?
a. 3/8 b. 2/11c. 2/3d. 1/3e. 2/9
Answer:
it might be 3 but I'm not sure
Solve a,b,c,d and e.
Answer:
Step-by-step explanation:
a)
428721
Place of 2's 10s and 10,000s
Therefore its value is 20 and 20,000
Product of the place value = 20 x 20,000 = 4,00,000
b)
37,20,861
Place of 7 is 1,00,000
Therefore the place value is 7,00,000
c)
Greatest 7 digit number is 99,99,999
Adding 1 to it = 99,99,999 + 1 = 1,00,00,000
d)
85642 = 80000 + 5000 + 600 + 40 +2
e)
round off 85642 to nearest thousand = 86,000
How can you find the y-coordinates of the midpoint of a vertical line segment with endpoints at (0,0) and (0,-12)? Check all that apply.
A. add the endpoints
B. divide 12 by 2
C. divide -12 by 2
D. multiply -12 by 2
Given that X = {April, August}, then ξ = {months that begin with the letter A}. True or False?
Answer:
False
Step-by-step explanation:
hi I need help on this
Help please I asp !!!
Answer:
Step-by-step explanation:
1
On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.
Answer:
d
Step-by-step explanation:
Write the equation of a line that meets all the following requirements:
Has an x-intercept at (5,0)
Has a negative slope
Write the equation in Standard Form
Write the equation is Slope-Intercept Form
Explain
How you know your line has an x-intercept of (5,0)
How you know your line has a negative slope
How you converted from one form to the other
9514 1404 393
Answer:
x + y = 5y = -x + 5Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
__
Explanation
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.