Answer:
[tex]d=\sqrt{26}\approx5.0990[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:
[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]
Simplify:
[tex]d=\sqrt{5^2+(-1)^2}[/tex]
Square:
[tex]d=\sqrt{25+1}[/tex]
Add:
[tex]d=\sqrt{26}\approx5.0990[/tex]
And that's our answer :)
x2+3y=4 solve for x. (someone help asap)
Answer:
Slope= 2.0003.000=1.500
x−intercept=−312=−4
y−intercept= 12/2=6
Hoped I helped
1. The standard deviation of the distribution of house age is about 16 years. Interpret this value.
a. The age for the houses in the sample was typically 16 years from the mean.
b. The age for all the houses in the sample is 16 years from the mean.
c. The gap between the youngest and oldest house is 16 years.
d. The age for all houses in the sample is within 16 years of the mean. The gap between the first quartile and the third quartile is 16 years.
Answer:
The correct option is b.
Step-by-step explanation:
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
It is provided that the standard deviation of the distribution of house age is about 16 years.
The standard deviation of 16 years imply that the age for all the houses in the sample is 16 years from the mean.
Thus, the correct option is b.
Construct a truth table
Answer:
see below
Step-by-step explanation:
The result of the expression is P∨Q, since the P∧¬R term is subsumed by the P term. That is, ..
(P∨Q) ∨ (P∧¬R) = Q ∨ (P ∨ P∧¬R) = Q∨P
Determine the minimum and maximum cycle times in seconds for a desired output of 500 units in a seven-hour day.
Complete question:
Please find the attached file for task table
Answer:
The minimum cycle time is 50 s
The maximum cycle time is 50.4 s
Step-by-step explanation:
Given;
production time, t = 7 hours
desired output = demand, D = 500 units
The minimum cycle Time is given by;
Minimum cycle time = maximum task time, from the table the maximum task time is 50 seconds.
Thus, Minimum cycle time = 50 s
The maximum cycle Time is given by;
[tex]CT = \frac{Production \ time}{D} \\\\CT = \frac{7*3600 s}{500 \ units} \\\\CT = 50.4 \ s[/tex]
Thus, Maximum cycle time = 50.4 s
A color printer can print 7 color photos in one minute. How many minutes will it take to print 500 photos? (round if you have to)
Helppppp meeeeeseseeeseeee
Step-by-step explanation:
Remember: Coplanar definition: In the same plane.
Here, we can see that points G, N, and M make up the intersection of plane K and plane L, so that means our answers are: G, N, and M because we were looking forth e points that are on planes K and L. The other points are not the answer because they are either on only one of the planes or not on any of them at all.
I hope this helps! :)
Answer:
I THINK it is M,N,G they are coplanar and they intersect, hope i helped
prove that n!<n^n for n≥2
Answer:
Step-by-step explanation:
Hello,
We will prove it by induction.
Step 1 - for n=2
2!=2*1=2
2^2=4
and 2 < 4 so this is true for n=2
Step2 - We assume that this is true for k and we have to prove it for k+1.
Induction hypothesis is [tex]k!<k^k[/tex]
[tex](k+1)!=(k+1)k![/tex]
We use the induction hypothesis and we we can write that
[tex](k+1)!=(k+1)k!<(k+1)k^k<=(k+1)(k+1)^k=(k+1)^{k+1}\\\\\text{As }k <= k+1[/tex]
so, we prove it for k+1
Step 3- conclusion
for n >= 2 we just proved that [tex]n!<n^n[/tex]
Rewrite this number in appropriate scientific notation of 4,770,000
Convert 60 miles pr hour to yards pr minute
Answer:1760
Step-by-step explanation:
What is the value of x ?
Answer:
X = 31°Step-by-step explanation:
Given: AC is angle bisector of <BAD.
=> So, <BAC = <CAD
30° = x-1 °
30 +1 = x
31 = x
Then, X = 31
Hope this helps.. Good luck :)
A patient A receives 3 times the amount of medicine as patient B. The two doses add to 200 milligrams. What amount of medicine does each patient receive?
Answer:
Patient A receives 150 milligrams and Patient B receives 50 milligrams
Step-by-step explanation:
Patient A = 3x
Patient B = x
200 milligrams = 3x + x
200 milligrams = 4x
x = 50
Patient A = 3(50) = 150
Patient B = 50
I hope this helps!
-TheBusinessMan
Let the medicine received by patient B be x.
According to the question patient A receives 3 times as much,
So patient A receives 3x.The total amount of medicine administered to the two patients equals to 200 milligrams.
We can write the relation as ,
[tex]:\implies \sf \ \ \ x + 3x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ 4x = 200 \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ x = \dfrac{200}{4} \\ \\ \\ [/tex]
[tex]:\implies \sf \ \ \ { \underline{ \boxed{ \bf{ \blue{x = 50}}}}} \ \bigstar \\ \\ [/tex]
Therefore,
Patient B receives 50 milligrams.Patient A receives 3 × 50 = 150 milligrams━━━━━━━━━━━━━━━━━What is the solution to 4|0.5x - 2.5| = 0?
Answer:
x = 5
Step-by-step explanation:
4|0.5x - 2.5| = 0
|0.5x - 2.5| = 0 / 4
0.5x - 2.5 = 0
0.5x = 2.5
x = 2.5 / 0.5
x = 5
The combined (verbal + quantitative reasoning) score on the GRE (Graduate Record Exam) is normally distributed with mean 1049 and standard deviation 189. Suppose n = 16 randomly selected students take the GRE on the same day.
a. What is the probability that one randomly selected student scores above 1100 on the GRE?
b. Describe the sampling distribution of the sample mean for the 16 students (description should include mean, standard deviation and shape).
c. What is the probability that a random sample of 16 students has a mean GRE score that is less than 1100?
d. What is the probability that a random sample of 16 students has a mean score that is more than 1100?
e. If the sample size in (d) above was increased to 64, what affect would it have on the probability (more, less, the same, can't tell) and why?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Normal distribution :
Mean (m) = 1049
Standard deviation (sd) = 189
Number of samples (n) = 16
A) What is the probability that one randomly selected student scores above 1100 on the GRE?
Obtain the z score
Zscore = (x - m) / sd
Zscore = (1100 - 1049) / 189
Zscore = 51 / 189 = 0.2698412 = 0.27
Using the z-table
P(X > 100) = 1 - P(X < 100) = 1 - 0.6064 = 0.3936
B) The sample mean = population mean
Hence sample mean = 1049
The sample standard deviation = standard error
Standard Error (SE) = sd / sqrt(n)
SE = 189/4 = 47.25
Hence shape = normal, standard deviation = 47.25, mean = 1049
C.) P(X < 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
Using the z-table :
P(X < 1100) = 0.8599
D.) P(X > 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
Using the z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.1401
E) if n = 64
SE = 189 / sqrt(64) = 189 / 8 = 23.625
P(X > 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 23.625
Zscore = 51 / 47.25 = 2.1587301 = 2.16
Using the z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.9846) = 0.0154
The probability decreases as the same distribution hinges towards a Boal distribution with increasing sample size.
Find two decimals that are equivalent to (4×10)+(7×1\100
(4×10)+(7×1\100) = 40+7/100 =4007/100
4007/100= 40,07
40,07 = 40,070
just add 0 to right side
(40,0700 also = 40,070)
Hope this helps ^-^
PLEAS HELP 2m · 2n would be the same as _____.
4 mn
2 m + n
2 mn
2 m - n
4mn. You are multiplying them all together.
Answer:
4mn
Step-by-step explanation:
you would multiply the 2s then the m and n cant multiply so they would stay beside eachother so it would be 4mn
If there are 140,900 teachers and 12,880,000 people in Illinois, how many teachers would we expect to find in Marshall, IL, a city of 3,860 people?
Answer:
42
Step-by-step explanation:
12880000/140900=94.41
Therefore there is 1 teacher in every 94.41 people so
3860/94.41=42.2
So we would find around 42 teachers in Marshall, IL
help will give brainliest
Answer:
20+2=22
Step-by-step explanation:
When you go down by 2, then use the Inverse Operation to add it up.
For the following exercises, write the equation of the tangent line in Cartesian coordinates for the given parameter t
x=et ,y=(t-1)2 ,at(1,1)
Answer:
y+2x = 3
Step-by-step explanation:
The formula for finding the equation of a tangent line is expressed using the point slope equation y-y0 = m(x-x0) where:
m is the slope of the line and (x0, y0) is a point on the line.
m = dy/dx = dy/dt ÷ dx/dt
dy/dt = 2(t-1)
dx/dt = e^t
m = 2(t-1)/e^t
If x = e^t, and x = 1
1 = e^t
Taking ln of both sides
ln1 = lne^t
t = ln1
t = 0
Substituting t = 0 into the slope formula:
m = 2(t-1)/e^t
m = 2(0-1)/e^0
m = 2(-1)/1
m = -2/1
m = -2
Substituting the slope m= -2 and the given point (1,1) into the formula for calculating the equation of tangent line we will have;
y-1 = -2(x-1)
y-1 = -2x+2
y+2x = 2+1
y+2x = 3
Hence the equation of the tangent line in Cartesian coordinates for the given parameter t is y+2x = 3
Find the value of the test statistic z using zequalsStartFraction ModifyingAbove p with caret minus p Over StartRoot StartFraction pq Over n EndFraction EndRoot EndFraction . Round to three decimal places. The claim is that the proportion of drowning deaths of children attributable to beaches is more than? 0.25, and the sample statistics include n equals 647 drowning deaths of children with? 30% of them attributable to beaches. A. 2.775 B. -2.937 C. 2.937 D. -2.775
Answer:
C. 2.937
Step-by-step explanation:
Given the following :
H0 : p = 0.25
H1 : p > 0.25
Number of observations (n) = 647
p' = 30% = 0.3
SD = sqrt[(p(1 - p) / n)]
1 - p = 1 - 0.25 = 0.75
SD = sqrt[(0.25 * 0.75) / 647]
SD = sqrt[0.0002897]
SD = 0.0170234
Z = (p' - p) / SD
Z = (0.3 - 0.25) / 0.0170234
Z = 0.05 / 0.0170234
Z = 2.9371187 = 2.937
0.4 is one tenth of what number
Answer:
.4 is in the 10th place in a number so .4 is one tenth of 1
The given decimal is equivalent to the one tenth of 4.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given number in decimal form is 0.4.
In order to convert it in fraction, it can be written in the form of p/q as follows,
0.4 = 0.4/1
Multiply the numerator and denominator by 10 to obtain,
(0.4 × 10)/(1 × 10) = 4/10
Hence, the given number is one tenth of 4.
To know more about decimal number click on,
brainly.com/question/4708407
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find the surface area of a box measuring 4 inches long 3 inches wide and 6 inches tall
4*3
12
12*6
72
hope it help
The surface area of the given box is 108 square inches.
What is the formula for the total surface area of a box?The surface area of a box is the sum of the areas of its six faces. We can find the surface area of the given box by using the formula:
Surface Area = 2lw + 2lh + 2wh
where "l" is the length, "w" is the width, and "h" is the height of the box.
As per the question, we have
l = 3 inches, w = 3 inches, and h = 6 inches
Substituting the given values, we get:
Surface Area = 2(4 x 3) + 2(4 x 6) + 2(3 x 6)
Surface Area = 24 + 48 + 36
Surface Area = 108 square inches
Therefore, the surface area of the given box is 108 square inches.
Learn more about the cuboids here:
brainly.com/question/23118276
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it takes 9 eggs to make 4 omelets how many omoletes can be made with 72 eggs
Answer:
For every 72 eggs, 32 omelets can be made.
Step-by-step explanation:
The ratio for eggs to omelets is 9:4. Or 9/4 in fraction form. (Note that the ratio can be written interchangeable such as 4:9).
The ratio says for every 9 eggs, it makes 4 omelets.
72 can be multiplied by 9. (9*8=72).
If we multiply the "top" and the "bottom" of the ratio by 8/8 (8/8=1. We must multiply this way so the ratio will remain the same when reduced.)
We will get 72:32.
For every 72 eggs, 32 omelets can be made.
Answer:
We use the rule of three !
9 eggs ------------> 4 omoletes
72 eggs -----------> x
So x= (72 eggs × 4 omoletes ) / 9 eggs
We simplify by 《eggs 》 because it is in the numerator and the denominator.
So x=(72×4 omoletes) / 9
x =288 omoletes /9
x = 32 omoletes
So we can made 32 omeletes with 72 eggs !!
What is the range of the following numbers: 12,8,17,12,15,18,30
Answer: 22
Step-by-step explanation: The range is the difference between the greatest number in the data set and the least numbe rin the data set.
In this case, thats 30 - 8 or 22.
Answer:
22
Step-by-step explanation:
30 - 8 = 22
highest number - lowest number
for the right triangle shown, which equation is correct?
Answer: A) sin 59° = cos 31°
Step-by-step explanation:
Based on the angle and the sides provided, we can establish that
tan 31° = 17/x
Since no hypotenuse is provided and we cannot solve for it, we can rule out options B, C, and D.
We know that the sum of the angles of a triangle is 180°. In a right triangle, we know that one of the angles is 90°, so the other two angles are complimentary --> sin Ф = cos (90 - Ф).
Therefore, option A is true.
Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
What is the image of (-7,-2) after a reflection over the y-axis?
6x+2=-8+3x+25 whats the answer to x?
Answer:
x = 5
Step-by-step explanation:
To find the value of x make sure to get it on one side
First subtract 3x from each side. This makes the equation now
3x + 2 = -8 + 25
Now see what 25 subtract by 8 is (17)
3x + 2 = 17
Next subtract 2 from both sides
3x = 15
Lastly, divide 15 by 3, making x equal 5
x = 5
ANYONEEEE ? I need to help
Answer:
please mark my answer brainliest
Step-by-step explanation:
A.....will be the answer....
Math homework help........
Find the product of -1 + 3i and its conjugate. The answer is a + bi where
The real number a equals
The real number b equals
Answer:
[tex]\huge\boxed{a = 10 \ , \ b = 0}[/tex]
Step-by-step explanation:
Conjugate of -1 + 3i = -1 - 3i
Their Product:
[tex]=(-1+3i)(-1-3i)\\Using \ Formula : (a+b)(a-b) = a^2-b^2\\=(-1)^2 - (3i)^2\\=1 - 9i^2\\We \ know \ that \ i^2 = -1\\=1 - 9(-1)\\=1 + 9\\=10[/tex]
Since the answer is 10, It seems like:
a + bi = 10
So, This means that:
a = 10
b = 0