The positive value of z indicates option e) the value z is to the right of the mean.
A standard normal random variable has a mean of 0 and a standard deviation of 1. Positive values of z represent values above the mean, while negative values of z represent values below the mean.
The probability associated with a value of z is always positive since it represents the likelihood of observing a certain value. The area between zero and z is also always positive since it represents the probability of observing a value between 0 and z.
Therefore, option e) is the correct answer as it reflects the relationship between positive values of z and their location relative to the mean.
Learn more about "z value":
https://brainly.com/question/30172182
#SPJ11
If m A is congruent to m B , m B and m C are complementary, and m C= 47
, then find m A .
A. 47
B. 43
C. 90
D. 133
Answer:
B
Step-by-step explanation:
if b and c are complementary that means b + c = 90
b + 47 = 90
b = 43
since a and b are congruent they are equal
if b = 43 then a = 43
Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O p q
O p^q
Op q
O q→p
Answer:
answer is A
Step-by-step explanation:
p: shape is a triangle
q: a shape has four sides
The statement that has to be true is p v q.
What is logic?Logic is a means of expression which involves the use of symbols to represent statements.
Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.
Learn more about logic statement:https://brainly.com/question/1807373
#SPJ1
d²v dt² v=2t² +7t+11 Find
The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4
The second derivative of v with respect to t, we will differentiate v twice.
v = 2t² + 7t + 11
First, let's find the first derivative of v with respect to t (dv/dt):
dv/dt = d/dt (2t² + 7t + 11)
Using the power rule of differentiation, we differentiate each term separately:
dv/dt = 2(2t) + 7(1) + 0
dv/dt = 4t + 7
Now, let's find the second derivative of v with respect to t (d²v/dt²):
d²v/dt² = d/dt (4t + 7)
Again, using the power rule of differentiation, we differentiate each term separately:
d²v/dt² = 4(1) + 0
d²v/dt² = 4
Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.
To know more about second derivative click here :
https://brainly.com/question/29090070
#SPJ4
Paulo has a certain amount of money. If he spends
$6.00, then he has of the original amount left.
.
Which sequence of transformations creates a similar but not congruent triangle?
A. Dilation and reflection
B. Reflection and rotation
C. Reflection and translation
D. Translation and rotation
Answer:
A. Dilation and reflectionStep-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
3 miles x 1760= ---------- yards
Answer: 5280 miles
Step-by-step explanation:
If the surface area of a cube is 390 in.² and which best describes the length of the side cube
Answer:
sqrt65, or 8.06225775
Step-by-step explanation:
390/6=65
sqrt65=8.06225775
Demand for park visits is Q =10,000 −100P. How many visitors will attend if the park charges a $20.00 admission fee?
A. 2,000
B. 4,000
C. 6,000
D. 8,000
2. Suppose the demand for vanilla ice cream was described by the equation Q = 20 – p, and the supply was described by Q = 10 + p. What are the equilibrium price (P*) and quantity(Q*)?
A. P* = -40, Q* = 20
B. P* = 5, Q* = 15
C. P* = 10, Q* = 50
D. P* = 25, Q* = -25
1. The number of visitors attending the park when the admission fee is $20.00 is 8,000.
2. The equilibrium price (P*) is $5 and the equilibrium quantity (Q*) is 15.
1. To find the number of visitors attending the park when the admission fee is $20.00, we substitute P = $20.00 into the demand equation Q = 10,000 - 100P:
Q = 10,000 - 100(20)
Q = 10,000 - 2,000
Q = 8,000
Therefore, the number of visitors attending the park when the admission fee is $20.00 is 8,000. The correct answer is option D.
2. To find the equilibrium price (P*) and quantity (Q*) for vanilla ice cream, we set the demand equation equal to the supply equation and solve for P:
20 - p = 10 + p
Combine like terms:
2p = 10
Divide both sides by 2:
p = 5
To find the equilibrium quantity, substitute the value of p into either the demand or supply equation:
Q = 20 - p
Q = 20 - 5
Q = 15
Therefore, the equilibrium price (P*) is $5 and the equilibrium quantity (Q*) is 15. The correct answer is option B.
To learn more about equilibrium price
https://brainly.com/question/22569960
#SPJ11
Combine the like terms to get an equivalent expression: 8r+7−6r−5
Answer:
the correct answer would be 2r+2
Step-by-step explanation:
8r-6r=2r
7-5=2
Answer:
2r + 2
Step-by-step explanation:
8r+7−6r−5
Terms with r are like terms and can be combined together.
Terms with no variable are like terms and can be combined together.
Terms with r and terms with no r are not like terms and cannot be combined together.
8r + 7 - 6r - 5 =
= 8r - 6r + 7 - 5
= 2r + 2
Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
Learn more about multiple regression model here:
brainly.com/question/32816836
#SPJ11
Imagine 74.052 on a place value chart. Then, write it in expanded form using fractions and
decimals to express the decimal place value units. An example is shown for you.
Answer:
c) 74.052 in Expanded form with decimal form =
7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001
b) 74.052 in Expanded form with fractions =
7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000
Step-by-step explanation:
We are given the number 74.052
The place value of each of the numbers is given as follows:
7 = Tens
4 = units
0 = Tenth
5 = Hundredth
2 = Thousandth
We are asked to write 74.052 in Expanded form of Decimals and fractions.
74.052 in Expanded form with decimal form =
7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001
74.052 in Expanded form with fractions =
7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000
Here, we are required to write the number 74.052 in expanded form using fractions and decimals to express the decimal place value units.
The answer in fractions is;
(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)
The answer in decimal form is;
(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).
From the number:
7 = tens4 = units. = decimal point0 = tenth5 = hundredth2 = thousandth(a) Therefore, to write the number in expanded form using fractions;
(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)
(b) Therefore, to write the number in expanded form using decimals;
(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).
Read more:
https://brainly.com/question/23159201
a) Solve the system of equations. Write your answer in vector notation. x₁₂ + 5x₂ + 4x₂ + 3x₄ +6x₅= 2 x₁ +6x₂ +6x₂ +6x +7x₂ = 6
x₁ +7x₂ +8x₂ +10x₄+8x₅= 12 x₁ +6x₂ +6x₂ +7x₂ +7x₂ = 8
The solution to the given system of equations in vector notation is x = [1, -1, 2, 1, 0].
To solve the system of equations, we can represent the equations in matrix form, as A * x = b, where A is the coefficient matrix, x is the vector of variables, and b is the vector on the right-hand side.
The coefficient matrix A can be constructed by taking the coefficients of the variables from the left-hand side of the equations. The vector b contains the constant terms.
In this case, the coefficient matrix A and the vector b are:
A = [[1, 5, 4, 3, 6],
[1, 6, 6, 6, 7],
[6, 7, 8, 10, 8],
[1, 6, 6, 7, 7]]
b = [2, 6, 12, 8]
To find the solution, we can use matrix algebra to solve the equation A * x = b. We can multiply both sides by the inverse of A to isolate x:
x = A^(-1) b
Calculating the inverse of A and multiplying it by b, we find that the solution is x = [1, -1, 2, 1, 0].
Therefore, the solution to the given system of equations in vector notation is x = [1, -1, 2, 1, 0].
learn more about coefficient matrix here:
https://brainly.com/question/3086766
#SPJ11
What is the correct way to read 8.72?
8 and 72 decimals
8 and 72 hundredths
8 and 72 tenths
Answer:
8 and 72 hundreths
Step-by-step explanation:
it's not the first one for sure
i think 8 and 72 hundreths?? i could be wrong
Mr. Berger assigned the following system of equations to be solved for homework. 2 x minus 3 y = negative 12. 4 x + y = negative 10. Which is the x-coordinate of the correct solution? x = negative 3 x = negative one-fifth x = StartFraction 9 Over 7 EndFraction x = 2
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
The Answer is:
X= -3
Write 8 over 24 in simplest form. plz
8/24=4/12=2/6=1/3
notice the pattern
---
hope it helps
sorry if it doesn't
A chip factory produces 150 high-performance chips per day. This is a new production line, so for every 150 chips produced, 10 are defective. The company selects a random sample of 3 chips to send to an external evaluator. What is the chance that exactly 2 of the chips are defective?
the probability that exactly 2 chips out of the random sample of 3 chips are defective is 42/3375.
To calculate the probability that exactly 2 chips out of a random sample of 3 chips are defective, we can use the binomial probability formula.
The binomial probability formula is given by:
P(X = x) = C(n, x) * pˣ * q⁽ⁿ⁻ˣ⁾
Where:
P(X = k) is the probability of exactly k successes (in this case, defective chips)
n is the sample size (in this case, 3 chips)
k is the number of successes (defective chips)
p is the probability of success (probability of a chip being defective)
q is the probability of failure (probability of a chip not being defective)
C(n, k) is the number of combinations of n items taken k at a time
Given:
n = 3 (sample size)
k = 2 (exactly 2 defective chips)
p = 10/150 = 1/15 (probability of a chip being defective)
q = 1 - p = 14/15 (probability of a chip not being defective)
Now, let's calculate the probability:
P(X = 2) = C(3, 2) * (1/15)² * (14/15)⁽³⁻²⁾
C(3, 2) = 3! / (2!(3-2)!) = 3
P(X = 2) = 3 * (1/15)² * (14/15)
P(X = 2) = 3 * (1/225) * (14/15)
P(X = 2) = 42/3375
So, the probability that exactly 2 chips out of the random sample of 3 chips are defective is 42/3375.
Learn more about probability here
https://brainly.com/question/32004014
#SPJ4
Maria is training for a triathlon. Yesterday, she rode her bike for eight and two-thirds miles in two-thirds of an hour. If Maria continues to rides at the same rate, how far will she ride in one hour?
HELP
Answer:
She will ride 13 miles in one hour
Step-by-step explanation:
(8 2/3) / (2/3) = x / 1....8 2/3 miles to 2/3 hr = x miles to 1 hr
cross multiply
(2/3)(x) = (8 2/3)(1)
2/3x = 26/3
x = 26/3 * 3/2
x = 26/2...which equals 13....she will ride 13 miles in 1 hr
Thomas asked 15 students whether summer break should be longer. He used his calculator to divide the number of students who said yes by the total number of students. His calculator showed the results as 0.9333 Write this number as a fraction
Name the angle that corresponds to angle 2.
Answer:
c) angle 4
Step-by-step explanation:
correspond is same spot but diagonally.
what’s 2. as a reduced fraction—
5
Answer:
2/1
Step-by-step explanation:
you just have to put the number over 1
What is the missing product?
4 times 6 equals an empty box, shown horizontally.
Responses
10
12
24
46
Answer:
The answer is 24
Step-by-step explanation:
6×4 =24
We can also further simplify it by everything down.
we could use
(3×4) + (3×4)
12 + 12
=24
and we can do the same for
(6×2) + (6×2)
12 + 12
= 24
Hope this helps!
Answer:
4 · 6 = 24
➲ I hope this helps.
The quality department at ElectroTech is examining which of two microscope brands (Brand A or Brand B) to purchase. They have hired someone to inspect six circuit boards using both microscopes. Below are the results in terms of the number of defects (e.g., solder voids, misaligned components) found using each microscope. Use Table 2. Let the difference be defined as the number of defects with Brand A - Brand B. Specify the null and alternative hypotheses to test for differences in the defects found between the microscope brands. H_0: mu_D = 0; H_a: mu_D notequalto 0 H_0: mu_D greaterthanorequalto 0; H_A: mu_D < 0 H_0: mu_D lessthanorequalto 0; H_A: mu_D > 0 At the 5% significance level, find the critical value(s) of the test. What is the decision rule? (Negative values should be indicated by a minus sign. Round your answer to 3 decimal places.) Assuming that the difference in defects is normally distributed, calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Based on the above results, is there a difference between the microscope brands? conclude the mean difference between Brand A number of defects and the Brand B number of defects is different from zero.
Based on the above results, there is no difference between the microscope brands.
We are given that;
\(H_0: mu_D = 0; H_a: mu_D notequalto 0 H_0: mu_D greaterthanorequalto 0; H_A: mu_D < 0 H_0: mu_D lessthanorequalto 0; H_A: mu_D > 0\)
Now,
The null hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is equal to zero. The alternative hypothesis is that the mean difference between Brand A number of defects and the Brand B number of defects is not equal to zero.
The decision rule for a two-tailed test at the 5% significance level is to reject the null hypothesis if the absolute value of the test statistic is greater than or equal to 2.571.
The value of the test statistic is -2.236. Since the absolute value of the test statistic is less than 2.571, we fail to reject the null hypothesis.
So, based on the above results, there is not enough evidence to conclude that there is a difference between the microscope brands.
Therefore, by Statistics the answer will be there is no difference between Brand A number of defects and the Brand B.
To learn more on Statistics click:
brainly.com/question/29342780
#SPJ4
please help asap
Point L is on line segment KM. Given LM = 9 and KL= 10, determine the length of KM
Answer:
19
Step-by-step explanation:
Answer:
The answer is 19. love your henata pfp btw-
The mass of Earth is about 5.97 x 1024 kg. The mass of Jupiter is 318 times the mass of Earth. What is the approximate mass of Jupiter?
Answer:
1.89813 × 1027 kilograms
Step-by-step explanation:
If so please sorry
Two lines that form a right angle at their point of intersection.A. PointB. Perpendicular Lines.C. Line.D. Collinear points.
Option B "Perpendicular Lines" is correct.
"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.
Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.
Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.
Learn more about Perpendicular lines brainly.com/question/1202004
#SPJ4
Find the volume of z=xy bounded by cylinder x^2+y^2=9, x>=0 and y>=0
The volume of the given equation is 20.25 cubic units.
The given equation is z = xy bounded by a cylinder x² + y² = 9 and x ≥ 0 and y ≥ 0.
We are going to find the volume of the given equation. Let's follow these steps:
Step 1: Solve for x and y.
The given equation is x² + y² = 9. We can solve it for x and y as:
y = √(9 - x²)and
x = √(9 - y²)
Step 2: Find the bounds for x and y. To get the bounds for x and y, we need to use the given condition that x ≥ 0 and y ≥ 0. Therefore, the bounds for x and y are:[0, 3] and [0, 3], respectively.
Step 3: Find the integral of the equation. The volume of the equation is given by
V = ∫∫z dA
where dA = dxdy
Since z = xy,
we have
V = ∫∫xy dxdy
The bounds of the integral are: [0, 3] for x[0, 3] for y
Therefore, V = ∫∫xy dxdy= ∫₀³ ∫₀³ xy dxdy= ∫₀³ [(y/2)x²]₀³ dy= ∫₀³ (9/2)y dy= [9/4 y²]₀³= (9/4)(3²)= 20.25 cubic units
Therefore, the volume of the given equation is 20.25 cubic units.
Learn more about volume visit:
brainly.com/question/28058531
#SPJ11
What is the area of 6 and 12 obtuse triangle
Answer:
A
Step-by-step explanation:
if it's not I'm sorry but that is the most logical answer:)
a researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84 . determine the observed value of student's t statistic rounded to the nearest hundredth. (rounding counts!)
The observed value of student's t statistic rounded to the nearest hundredth is 1.72.
Explain the term significance level?The likelihood that an event (like a statistical test) may have happened by chance is the significance level of the occurrence. When the level, or the possibility of the occurrence occurring by chance, is quite low, the event is considered noteworthy.The stated data is-
Sample size n = 22Significance level = 5%Thus,
Degree of freedom = n -1
Df = 22-1
Df = 21
As, the significance level is 5% then test is right tailed.
So,
Alpha value = 0.05
Now,
For alpha value = 0.05 and degree of freedom = 21.
t- critical value = 1.721 (from the t-statiscts table).
Thus, the observed value of student's t statistic rounded to the nearest hundredth is 1.72.
To know more about the significance level, here
https://brainly.com/question/15414435
#SPJ4
Someone explain please
Answer:
SA = 94 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 4
w = 5
h = 3
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 5(4) + 3(4) + 3(5) )
SA = 2 ( 20 + 12 + 15 )
SA = 2 ( 47 )
SA = 94 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
20y−25x=140 and y+5/4x=-5
The solution of the given equations are; x = -10.5 and y = 8.25
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given that the system of equation are;
20y−25x=140
y+5/4x=-5
Therefore, solving the equations;
y = -5/4x -5
Substitute;
20y−25x=140
20(-5/4x -5)−25x = 140
-25 - 100 - 25x = 140
-125 - 25x = 140
-25x = 140 + 125
x = -10.5
Then y = -5/4x -5
y = 8.25
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1