The shape of a histogram of the distribution of scores on a midterm exam in a graduate statistics course is likely to be bell-shaped, symmetrical, and normally distributed. The bell curve, or the normal distribution, is a common pattern that emerges in many natural and social phenomena, including test scores.
The mean, median, and mode coincide in a normal distribution, making the data symmetrical on both sides of the central peak.In a graduate statistics course, it is reasonable to assume that students have a good understanding of the subject matter, and as a result, their scores will be evenly distributed around the average, with a few outliers at both ends of the spectrum.The histogram of the distribution of scores will have an approximately normal curve that is bell-shaped, with most of the scores falling in the middle of the range and fewer scores falling at the extremes.
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4/5 n = 1 - 1/5 n
solve for n:
please help
Answer:
3/2 = 1/ 1/2
Step-by-step explanation:
1 1/5 divided by 4/5 is 1 1/2
Answer:
1
Step-by-step explanation:
4/5n=1-1/5n
so we collect the like terms
4/5n+1/5n=1
n=1
Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market
Answer: it's c
Step-by-step explanation:
Six hundred thirty-one and fifthy eight thousandths in standard form
The number in standard form is 632.058
How to represent the number in standard form?The number is given as:
Six hundred thirty-one and fifty-eight thousandths
This means:
Six hundred thirty-one + fifty-eight thousandths
Express Six hundred thirty-one as 631
632 + fifty-eight thousandths
Express fifty-eight thousandths as 58/1000
632 + 58/1000
Express as decimal
632 + 0.058
Evaluate the sum
632.058
Hence, the number in standard form is 632.058
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the area of square ABCD is 10cm2 show that x^2+6x=a where a is a constant to be found
The value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The question is:
The area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant to be found.
The missing figure is attached; please refer to the picture.
As we can see in the figure we have given a rectangle.
Area of rectangle = (3 + x)(3 + x)
10 = (3 + x)(3 + x)
or
10 = (3 + x)²
10 = 9 + 6x + x²
After rearranging:
x² + 6x = 1
We have equation:
x² + 6x = a
After comparing:
a = 1
Thus, the value of a is 1 if the area of square ABCD is 10 cm² showing that x²+6x=a where a is a constant.
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Match the missing parts of the triangle with their correct length or measure.
HINT: The ONLY right triangles we are given in this problem are ADB and BDC. Triangle ABC is NOT necessarily a right triangle.
Given:
DB=24
AD=32
AC=42
DC=10
BC=26
AB=40
Measure
Measure of
Find:
Measure
Measure
Measure
Measure
Measure
The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.
What is a right angle triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that, in △BCD
BD = 24 m
DC = 10 m
BC = 26 m
△BCD is a right angle triangle.
The trigonometry ratio of sine is ratio of height to hypothenuse.
With respect to C, the height of △BCD is 24m and hypothenuse is 26m.
sin C = height/hypothenuse
sin C = 24/26
C = 67.38°
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find x=, if x+4=7 now!
HEEEELP me! image here
Answer:
21 divided by six is 3.5
so for one it is 3 pounds and 50 pence
Step-by-step explanation:
(0,4) (2,-6) find the slope
Answer:
Slope = -5
Step-by-step explanation:
Slope Formula:
y2-y1/x2-x1
So
-6-4/2-0=
-10/2
Therefore -5 is the Answer
Hope this helps
.Show that {Y(t), t ≥ 0} is a Martingale when
Y(t) = B2(t) – t
What is E[Y(t)]?
Hint: First compute E[Y(t)|B(u), 0 ≤ u ≤ s].
To show that {Y(t), t ≥ 0} is a Martingale, we need to prove that E[Y(t)|F(s)] = Y(s) for all s ≤ t, where F(s) is the sigma-algebra generated by B(u), 0 ≤ u ≤ s.
Using the hint, we can compute E[Y(t)|F(s)] as follows:
E[Y(t)|F(s)] = E[B2(t) - t |F(s)]
= E[B2(t)|F(s)] - t (by linearity of conditional expectation)
= B2(s) - t (since B2(t) - t is a Martingale)
Therefore, we have shown that E[Y(t)|F(s)] = Y(s) for all s ≤ t, and thus {Y(t), t ≥ 0} is a Martingale.
To compute E[Y(t)], we can use the definition of a Martingale: E[Y(t)] = E[Y(0)] = E[B2(0)] - 0 = 0.
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We will show that {Y(t), t≥0} is a Martingale by computing its conditional expectation. The expected value of Y(t) is zero.
To show that {Y(t), t≥0} is a Martingale, we need to compute its conditional expectation given the information available up to time s, E[Y(t)|B(u), 0≤u≤s]. By the Martingale property, this conditional expectation should be equal to Y(s).
Using the fact that B2(t) - t is a Gaussian process with mean 0 and variance t3/3, we can compute the conditional expectation as follows:
E[Y(t)|B(u), 0≤u≤s] = E[B2(t) - t | B(u), 0≤u≤s]
= E[B2(s) + (B2(t) - B2(s)) - t | B(u), 0≤u≤s]
= B2(s) + E[B2(t) - B2(s) | B(u), 0≤u≤s] - t
= B2(s) + E[(B2(t) - B2(s))2 | B(u), 0≤u≤s] / (B2(t) - B2(s)) - t
= B2(s) + (t - s) - t
= B2(s) - s
Therefore, we have shown that E[Y(t)|B(u), 0≤u≤s] = Y(s), which implies that {Y(t), t≥0} is a Martingale.
Finally, we can compute the expected value of Y(t) as E[Y(t)] = E[B2(t) - t] = E[B2(t)] - t = t - t = 0, where we have used the fact that B2(t) is a Gaussian process with mean 0 and variance t2/2.
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Use >, < OR = symbols in the blank space in each of the following a) (-3) - (-5) --- (-4) + (-9) b) 71 -2 - 31 --- 71 - 2 +31 c) 39 + (-35) – (58) --- 37 + (-11) - (+26) d) 23 + (-8) – 7--- 9 - 13 + 12
Answer:
a)(-3)-(-5)<(-4)+(-9)
Step-by-step explanation:
b)71-2-31<71-2+31
c)39+(-35)-(58)<37+(-11)-(+26)
d)23+(-8)-7=9-13+12
-9y + 4x - 20 = 0
-7y + 16 - 80
Answer:
Step-by-step explanation:
If y equals 14, what does x equal in the following equation?
(No links please. Yes I’m talking to you robot people that have no life and put useless links in ever person question.)
у = 3х - 7
1) x = 4
2) x = 5
3) x = 6
4) x = 1
PLEASE HELPP
I NEED THIS ASAP
Answer:
30+y
Step-by-step explanation:
Answer:
He didn't include a parenthesis around 5+y
Step-by-step explanation:
The scale of a map is 1.5 centimeters =
120 kilometers. If two cities are
4.75 centimeters apart on the map,
what is their actual distance?
A. 420 km
B. 390 km
C.
380 km
D. 360 km
I need help on how to find a surface area! I will send the full photo!
we are asked to determine the surface area of the figure. To do that we need to find the areas of each face and add them together. The front face is a trapezoid, and its area is:
\(A_{tz}=\frac{b+B}{2}h\)Where "b" is the upper base, "B" is the lower base and "h" is the height. Replacing the values:
\(A_{tz}=\frac{9ft+4ft}{2}\times4.3ft\)Solving the operations:
\(A_{tz}=28ft^2\)the upper face is a rectangle, its area is the product of its side:
\(A_{uf}=(10ft)(9ft)=90ft^2\)The area of the lower face is also a rectangle, therefore its area is:
\(A_{lf}=(4ft)(10ft)=40ft^2\)The side face is also a rectangle, and its area is:
\(A_{sf}=(5ft)(10ft)=50ft^2\)Now we add the areas having into account that the front and side faces repeat themselves. the total surface area is:
\(A=2A_{tz}+A_{uf}+A_{lf}+2A_{sf}\)replacing the values:
\(A=2(28ft^2)+(90ft^2)+(40ft^2)+2(50ft^2)\)Solving the operations:
\(A=286ft^2\)Therefore, the surface area is 286 square feet.
in what place is the 8 in the number 275.38
since it's 38 the last number is in the ones place which equals just 8
Answer:
Hundredths place
what are the coordinates of the circumcwnter of this triangle
Answer:
A: (-1,5) B: (-2,-1) C: (8,-1)
If you don’t know the answer pls don’t reply thank you
Answer:
Is B
Step-by-step explanation:
It's B because you use cups with the tablespoons to find the answer. 2 is cups, and it's on the numerator, and 1.5 is cups. It would have to be a numerator since you would only use denominators to plug in the value of tablespoons in the equation. v would be the denominator with 1.5 as the numerator since we are trying to find v with 1.5, so 1.5 has to be in the same fraction.
Hope this helps!
Please help worth 25 points
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answer:
y=2x-5
Step-by-step explanation:
Bernie deposited $90 in a savings account earning 10% interest, compounded annually.
Answer:
$119.79
Step-by-step explanation:
im like 95% sure this is right
Answer:
In three years Bernie total saving account would be $119.79
Step-by-step explanation:
The answer varies each year. In one year 10% of $90 is $9. Bernie total saving account would be $99 in the first year. In two years it would be $108.90( 10% of $99 = $9.9, $9.9 + $99 = $108.90). In three years Bernie total saving account would be $119.79( 10% of 108.90 = 10.89, $10.89 + $108.9 = $119.79) and so on.
Help this is due in a few minutes!!
Answer:
5:400
Step-by-step explanation:
Answer:
The leading coefficient is 9
Show that circle D with center open parentheses 8 comma negative 2 close parentheses and radius 8 is similar to circle E with center (5, 1) and radius 2.
The ratio of their radii is 8/2 = 4.
What is ratio?Ratio is a comparison of two or more quantities expressed in terms of their relative sizes. It is a way to express one number as a fraction of another number. For example, if a person has three apples and two oranges, the ratio of apples to oranges can be expressed as 3:2. Ratios can also be expressed as fractions or percentages.
To show that Circle D and Circle E are similar, we need to determine if the ratio of their radii is equal to the ratio of their distances from the origin. The ratio of their radii is 8/2 = 4. The distance from the origin for Circle D is sqrt((8)²+ (-2)²) = sqrt(64 + 4) = sqrt(68) = 8.24. For Circle E, the distance from the origin is sqrt((5)² + (1)²) = sqrt(26) = 5.1. The ratio of their distances from the origin is 8.24/5.1 = 1.61. Since the ratio of their radii (4) is equal to the ratio of their distances from the origin (1.61), we can conclude that Circle D and Circle E are similar.
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a blue sphere and a red sphere with the same diameter are released from rest at the top of a ramp. the red sphere takes a longer time to reach the bottom of the ramp. the spheres are then rolled off a horizontal table at the same time with the same speed and fall freely to the floor. which sphere reaches the floor first?
Answer:
neither; they'll reach the floor at the same time
Step-by-step explanation:
When the spheres are then rolled off a horizontal table at the same time with the same speed and both will fall simultaneously to the floor.
What is free-falling bodies?A free-falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall.
Since the gravitational accereration acting on any body is constant and does not depend upon the mass of the body.
So a blue sphere and a red sphere with the same diameter will fall simultaneously on the floor under the influence of the gravity.
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Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet. Suppose wood flooring costs $8 for each square foot. How much will the wood flooring cost for the floor?
Answer:
$ 10,000
Step-by-step explanation:
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet.
The gym floor is shaped like a rectangle
Area of a rectangle = Length × Width
= 50 feet × 25 feet
= 1250 ft²
Suppose wood flooring costs $8 for each square foot.
The wood flooring cost for the floor is calculated as
1 ft² = $8
1250ft² = x
Cross Multiply
1250 ft² × $8
$ 10,000
The wood flooring cost for the floor is $10,000
Rabbits can exhibit a number of colors in their coats: black, white, tan, brown, red, and grey. A disease randomly kills off most of the population and leaves only black and grey rabbits. Future generations are only black or grey. What is the term used to describe this phenomenon
Answer:
Genetic drift
Step-by-step explanation:
I took da test
The term used to describe this phenomenon of future generation fluctuations would be Genetic drift.
What is Genetic drift?Genetic drift refers to the random fluctuations in the number of offspring in a population.
Rabbits can exhibit several colors in their coats: black, white, tan, brown, red, and grey.
A disease randomly kills off most of the population and leaves only black and grey rabbits.
Future generations are only black or grey. We can see that the future rabbits have some common colors that are given by their parents.
So, this must be Genetic drift.
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On April 1, Mr.Olson’s meter read 8,284 kw-hr. At $.08 per kw-hr, what was his electric bill for the month of April?
if $.08 per kW-hr, we can find the electric bill for the month using the rule of three.
$.08 per kW-hr =
$0.08 ------------ 1 kW-hr
x --------------------- 8,284 kW-hr
Where x = (8,284 kW-hr*$0.08)/1 kW- hr
Then:
x= $662.72
Hence, the electric bill for the month of April was $662.72.
certain standardized math exams have a mean of 100 and a standarad deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score above 110
Using the Normal Z-distribution and the values from the Z-table, We can calculate that 12.5% can be expected to score between 70 and 90 according to the value of the mean and standard deviation provided.
A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it.
mean =100
standard deviation =60
70≤ x ≤ 90
70 - 100 ≤ x - 100 ≤ 90 -100
-0.5 ≤ Z ≤ -0.167
P = 0.125(From Z-Table)
Required percentage = 12.5%
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The correct question is:
certain standardized math exams have a mean of 100 and a standard deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score between 70 and 90?
Help Pleaseeee. Find the hypotenuse.
I don't because I can't see
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother?
Has a brother Does not have a brother
Has a sister 4 2
Does not have a sister 12 10
The probability that a student chosen randomly from the class has a brother is approximately 0.143 or 14.3%.
What is the probability that a student chosen randomly from the class has a brother?To find the probability that a student chosen randomly from the class has a brother, we need to look at the number of students who have a brother and divide it by the total number of students in the class.
From the given data table, we see that there are a total of 4+2+12+10=28 students in the class. Out of these, 4 students have a brother. Therefore, the probability that a student chosen randomly from the class has a brother is:
P(having a brother) = Number of students having a brother / Total number of students
= 4 / 28
= 1/7
≈ 0.143
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