Answer:
Step-by-step explanation:
The total number of bin is 21
the mean of 21 bins is
[tex]=\frac{21}{2} \\\\=10.5\\\\\approx11[/tex]
The standard deviation is 3 bins.
We calculate , by using z formula
[tex]P(x<7)=P(z<\frac{x-\mu}{\sigma} \\\\=P(z<\frac{7-11}{3} )\\\\=P(z<-1.33)\\\\=0.0918 (z \ \ table)\\\\\therefore P(x<7)=0.0918[/tex]
Since after 1000 balls is drop, we will mutiply with 1000
0.0918 x 1000
= 91.8
≅ 92
Therefore, we have 92 balls
Suppose you have a dataset with m = 50m=50 examples and n = 200000n=200000 features for each example. You want to use multivariate linear regression to fit the parameters \thetaθ to our data. Should you prefer gradient descent or the normal equation?
Answer:
Step-by-step explanation:
Consider X to be the matrix whose columns are the values for our 50 examples. The normal equation gives us the values of [tex]\theta[/tex] in the following way
[tex] \theta = (X^{T}X)^{-1}X^{T}y[/tex]
The matrix [tex]X^{T}X[/tex] however, might not be invertible when [tex]m\leq n[/tex]. So we must use the pseudo inverse to solve the problem. For a big number of features, calculating the pseudoinverse might be computational expensive. So, gradient descent should be prefered.
Help solve attached question.
Answer:
[tex]\mathrm{12\sqrt{5} \: \: inches}[/tex]
Step-by-step explanation:
Use Pythagorean theorem, where:
[tex]a^2+b^2=c^2[/tex]
Substitute in the values.
[tex]24^2+12^2=c^2[/tex]
[tex]c^2=576+144[/tex]
[tex]c^2=720[/tex]
[tex]c=\sqrt{720}[/tex]
[tex]c=12\sqrt{5}[/tex]
[tex]c=26.83281[/tex]
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. Using the data, construct the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level.
Answer:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then
[tex]n = 1537, \pi = \frac{353}{1537} = 0.2297[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507[/tex]
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' located after dilation, and how are lines fand f related?
(A) The locations of A' and B' are A' (0,4) and B' (4,0); lines f and f are parallel.
(B) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f are the same line.
(c) The locations of A' and B' are A' (0, 2) and B' (4, ); lines f and f intersect at point A.
(D) The locations of A' and B' are A' (0,4) and B' (2, 0); lines f and f intersect at point B.
Answer:
Option A
Step-by-step explanation:
We are given that
Scale factor=2
Center of dilation=(0,0)
Point A(0,2) and point B (2,0).
Slope of line f=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values
Slope of line f=[tex]\frac{0-2}{2-0}=-1[/tex]
Distance between A and Origin (0,0) is given by
[tex]OA=\sqrt{(0-0)^2+(0-2)^2}=2 units[/tex]
Using distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
OB=[tex]\sqrt{(0-2)^2+(0-0)^2}=2 units[/tex]
Length of OA'=2OA=2(2)=4 units
Length of OB'=2(OB)=2(2)=4 units
x-intercept of line f' at x=4
y-intercept of line f' at y=4
Therefore, the points A' and B' are given by
(0,4) and (4,0)
Slope of line f'=[tex]\frac{0-4}{4-0}=-1[/tex]
Slope of line f and f' are equal.Therefore, lines f and f' are parallel.
Option A is true.
State the domain of f(a,b) = e^ab
Answer:
a2+b2=c2
Step-by-step explanation:
find the saqure roof of two
Answer:
(∞,∞), (a /a∉R)
Step-by-step explanation:
2)
Which of these objects are two-dimensional? Check all that apply.
A.Point
B.Segment
C.Square
D. Line
E. Solid
F. Plane
Answer:
Option C and F
Step-by-step explanation:
=> Square and Plane a two-dimensional objects.
Rest of the objects are either 1 - dimensional or 3- dimensional.
According to a milk carton, 2% milk contains 70 % less fat than whole milk. The nutrition label on the other side of the carton states that one serving of this milk contains 2.5 grams of fat. How many grams of fat are in an
equivalent serving of whole milk?
Answer:
8.33 grams of fat
Step-by-step explanation:
One serving of the milk contains 2.5 grams of fat.
2% milk has 70% less fat than whole milk.
This means 2% milk has 30% of the fat that whole milk has.
Let W = amount of fat in whole milk
30% of the fat that whole milk has
=30% × w
=30/100×w
=0.30×w
=0.30w
How many grams of fat are in an equivalent gram of whole milk
2.5g=0.30w
w=2.5g/0.30
=8.33 grams of fat
Laura will have seven test scores at the end of the semester. Each of the scores is a positive integer less than or equal to $100$. Her first five scores are $80, 83, 87, 94$ and $96$. How many different values are possible for the median of her seven scores?
Answer:
2 different scores
Step-by-step explanation:
The first thing we must do is define what the average is, which would be the value of half. This means that the average of 7 scores would be adding 2 more scores than the 5 we already have.
It does not matter if they are greater or less than those that already exist, they should only be equal to or less than 100 (also integers) and therefore the mean would be the 4th value of those 7 scores after organizing them from highest to lowest.
4(4x - 2) = x + 4
asnwerplsssssssss
Answer:
4(4x - 2) = x + 4
16x - 8 = x + 4
15x = 12
x = 12/15 = 4/5
Answer:
x = 0.8
Step-by-step explanation:
4(4x - 2) = x + 4
16x - 8 = x + 4
16x - x = 4 + 8
15x = 12
x = 0.8
Question 2: The average price for a BMW 3 Series Coupe 335i is $39,368. Suppose these prices are also normally distributed with a standard deviation of $2,367. What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe? Round your answer to 3 decimal places.
Answer:
0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 39368, \sigma = 2367[/tex]
What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?
This is 1 subtracted by the pvalue of Z when X = 44520. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44520 - 39368}{2367}[/tex]
[tex]Z = 2.18[/tex]
[tex]Z = 2.18[/tex] has a pvalue of 0.985
1 - 0.985 = 0.015
0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe
If
f(x) = 13x + 1, then
f-1(x) =
Answer:
(x-1)/13
Step-by-step explanation:
y = 13x+1
To find the inverse, exchange x and y
x = 13y+1
Solve for y
Subtract 1 from each side
x-1 =13y+1-1
x-1 = 13y
Divide each side by 13
(x-1)/13 = y
The inverse is (x-1)/13
Answer:
f(x) = 13x + 1
To find the inverse let f(x) = y
y = 13x + 1
x = 13y + 1
13y = x - 1
y = (x-1)/13
The inverse is x-1/13.
Stealers, study components: In a study of the relationship between socio-economic class and unethical behavior, 129 University of California undergraduates at Berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others (Piff, 2012). Identify the following about this study.
a) What are the cases?_____
b) What are the variables and their types?_____
c) What is the main research question?_____
Answer:
a) 129 University of California undergraduates at Berkeley.
b) (i) social-class (ordinal), (ii) money (continuous), (iii) education (ordinal) , (iv) respected job (ordinal), (v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
Step-by-step explanation:
a) 129 University of California undergraduates at Berkeley.
b)
i) social-class (ordinal)
ii) money (continuous)
iii) education (ordinal)
iv) respected job (ordinal)
v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
A jar contains 5 red marbles and 8 white marbles . Event A = drawing a white marble on the first draw Event B = drav drawing a red marble on the second draw If two marbles are drawn from the jar , one after the other without replacement , what is P(AandB) expressed in simplest form?
a: 3/13
b: 10/39
c: 5/12
d: 8/13
Answer:
(B) [tex]\dfrac{10}{39}[/tex]
Step-by-step explanation:
Number of red marbles = 5
Number of white marbles = 8
Total =8+5=13
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
P(A)=8/13
P(B)=5/12
Therefore:
P(A and B)
[tex]=\dfrac{8}{13} \times \dfrac{5}{12}\\\\=\dfrac{10}{39}[/tex]
Answer:
Your answer is B
Step-by-step explanation:
The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power. The probabilities that these two sources will be successfully developed and commercially viable in the next 10 years are 0.70 and 0.85, respectively. The successful development of these two energy sources are statistically independent. Determine the following: a. The probability that there will be energy supplied by these two alternative sources in the next 10 years. b. The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years.
Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) = [tex]P(\bar F S)[/tex] ∪ [tex]P( \bar S F)[/tex] ---(3)
Rewrite the equation (3)
P(only one source of energy available) =
[tex]=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)[/tex]
[tex]=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36[/tex]
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36
−10x+3y=5 x=y−4 Need X and Y pleaseee men :(
Answer:
x= 1
y = 5
Step-by-step explanation:
-10x+3y=5
x = y−4
-10(y-4)+3y=5
-10y+40+3y=5
-7y=5-45
-7y=-35
y=5
x = 5−4
x = 1
Answer:
[tex] x = 1 \\ y = 5 \\ [/tex]
[tex] - 10x + 3y = 5nd10x - 10( - 1)y = - 10( - 4) \\ - 10x + 3y = 5nd10x + 10y = 40 \\ - 10x10x + 3y - 10 = 5 - 40 \\ 3y - 10y = 5 - 40 \\ - 7y = 5 - 40 \\ - 7y = 35 \\ y = 5 \\ x - 5 = - 4 \\ x = 1[/tex]
When 1760 is divided into 14 equal parts, the remainder is 10. What is a correct way to write the quotient?
Answer:
125 r. 10
Step-by-step explanation:
find the multiplicative inverse of 2/3 * - 5/7
Answer:
[tex]-\frac{21}{10}[/tex] is the required multiplicative inverse.
Step-by-step explanation:
First of all simplify the given expression.
[tex]\frac{2}{3}\cdot \frac{-5}{7}=-\frac{2\cdot \:5}{3\cdot \:7}=-\frac{10}{21}[/tex]
Multiplicative inverse of any number when multiplied gives 1.
The multiplicative inverse of [tex]-\frac{10}{21}[/tex] is [tex]-\frac{21}{10}[/tex] because:
[tex]-\frac{10}{21}\times -\frac{21}{10}=1[/tex]
Best Regards!
Find the volume of a right circular cone that has a height of 4.2m and a base with a radius of 3.4m
Answer:
about 50.8 cubic meters
Step-by-step explanation:
The formula for the volume of a cone is ...
V = (1/3)πr²h
Put the given values into the formula and do the arithmetic.
V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³
__
For π to calculator precision, this is ...
V ≈ 50.84 m³
For π = 3.14, this is ...
V ≈ 50.82 m³
HEEEEEEEEEEELPPPP I WILL MARK BRAINLIEST!!!!!!!
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
[tex]( \frac{3}{4} )^3[/tex]
Distribute the exponent to the numerator and denominator.
[tex]\frac{3^3}{4^3}[/tex]
Evaluate the value.
[tex]\frac{27}{64}[/tex]
Which theoretical probabilities are equal to 1/3? Check all that apply.
Answer:
2/6, 4/12, 8/24, 16/48, 32/96 ect....
Step-by-step explanation:
I hope this helps I really didnt know if this is what you were asking about
What transformations to the linear parent function, f(x) = x, give the function
g(x) = 4x - 2? Select all that apply.
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
O c. Horizontally stretch by a factor of 4.
O D. Shift left 2 units.
Answer:
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
Step-by-step explanation:
Given the function
f(x)=x
If we stretch y vertically by a factor of m, we have: y=m·f (x)
Therefore:
Vertically stretching f(x) by a factor of 4, we have: 4x.
Next, if we take down f(x) by k units we have: y= f(x)-k
Therefore: Taking down 4x by 2 units, we obtain:
g(x)=4x-2
Therefore, Options A and B applies.
The area of a triangle is 80cm² and its base is 8cm. If its height is (6+k) cm, find the value if k.
(3marks)
Answer:
K=14
Step-by-step explanation:
A=1/2*b*h
80=1/2*8*(6+k) multiply by 2 on both sides
160=8*(6+k) distribute by 8
160=48+8k subtract 48 from both sides
112=8k divide by 8
14=K
The measures of two angles of a triangle are 105 and 31 degrees. Find the measure of the third angle.
Answer: 44°
Step-by-step explanation:
Measures of the angles of a triangle
= 180°
Therefore, 180 - 105 + 31 = 44°
The measure of the third angle is 44 degrees.
We have,
To find the measure of the third angle in a triangle, we can use the fact that the sum of the measures of all three angles in a triangle is always 180 degrees.
Let's denote the measure of the third angle as "x".
We are given that the measures of the other two angles are 105 degrees and 31 degrees.
Using the sum of angles in a triangle, we can set up the equation:
105 + 31 + x = 180
Simplifying the equation:
136 + x = 180
To isolate "x", we subtract 136 from both sides of the equation:
x = 180 - 136
x = 44
Therefore,
The measure of the third angle is 44 degrees.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
paulina plays both volleyball and soccer .the probability of her getting injured playing soccer is 0.10 and the probability of her getting injured playing soccer is 0.20 .which of the event is more likely
Step-by-step explanation:
While playing volleyball, probability of getting hurt is
P(A) = 0.1 = 1/10
and in the case of soccer, it is
P(B) = 0.2 = 2/10 = 1/5
Here we see, P(A) < P(B)
Answer: We can conclude that the probability of getting injured while playing soccer is more likely.
For the following situations, state which type of sampling plan was used. In order to find out how its employees felt about higher student fees imposed by the legislature, a university divided employees in three categories: staff, faculty, and student employees. A random sample was selected from each group and they were telephoned and asked for their opinions. A. Cluster sampling B. Systematic sampling C. Stratified sampling D. Convenience sampling
Answer:
I think sample B is better.
Step-by-step explanation:
Its more careful and better
A polynomial is factorable, but it is not a perfect square trinomial or a
difference of two squares. Can you factor the polynomial without finding the GCF?
Answer:
So in this problem, we're told that a polynomial is fact herbal and it's not a perfect square. Try no meal or a difference of two squares. Can you factor the pie? Nomi bite or polynomial without finding the G C F. So no Jacey after is allowed. So if it's not a perfect squared, try no meal. So not a perfect square. We know it's not this, and we also know it's not a difference of two squirt if it's not any of these or if it's not either of these, but we can't find the G. C F. There are three different ways we could find the factored form. You could do it by grouping where you separating the polynomial into two parts and factor them individually before combining. You could also use the sum or a difference of cubes. This is for a cubic or a um, polynomial of third degree, and you could also use fractional or negative exponents. So even if you can't find the G c f or use these methods, there are still three ways you can factor the
Step-by-step explanation:
Glad i could help!
Please answer this correctly
Answer:
I believe that the answer would be 1/5.
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope intercept form.
Answer:
y = x-2
Step-by-step explanation:
Pick two points on the line
(0,-2) and (2,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0--2)/(2-0)
= (0+2)/(2-0)
2/2
=
We know the y intercept is -2 ( where it crosses the y axis)
y = mx +b is the slope intercept form of the equation where m is the slope and b is the y intercept
y = 1x -2
y = x-2
Answer: [tex]y=x-2[/tex]
Step-by-step explanation:
I explained the other problem you asked, why couldnt you apply that info to this one? Either way, Ill explain it again.
We can see the slope intercept is -2, so b = -2
To get the slope, just from visualization. Look at the y value and x value direction for which you gotta take to get to the next coords. From the y-intercept, you go up 1 and then right 1. 1/1 = 1
How is the vertex related to the maximum or minimum of a parabola?
Answer:
Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.
Step-by-step explanation:
The y coordinate of the vertex tells you the highest or lowest point, depending on whether the parabola opens downward or upward.
For something like y = -2(x-5)^2 + 10, it opens downward and has the vertex at (5,10). The highest point is (5,10) so the largest y value or output is y = 10. This is the maximum of the function. Note the value of 'a' is a = -2 which is negative. Also note the vertex form y = a(x-h)^2 + k with vertex (h,k).
For an example like y = 7(x+2)^2 - 8 we have a = 7 so the parabola opens upward meaning we'll have a minimum this time. The lowest point is the vertex (h,k) = (-2,-8). The minimum of the function is y = -8.
X^2+_x+36
What is the Perfect Square Trinomials?
Answer:
Step-by-step explanation:
hello,
[tex]36=6*6=6^2[/tex]
and
[tex](x+6)^2=x^2+12x+36[/tex]
so the missing term is 12 to get a perfect square trinomial
hope this helps
Answer: The answer is "12".
Step-by-step explanation: Correct on edgen. (2022)