Answer:
In step by step explanation
Step-by-step explanation:
a) Normal distribution N( 0, 1 )
If the sample size is equal n = 16 we have to use t-student distribution since n < 30.
In the case n = 36 we should use normal distribution (z tables)
b) We can´t use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 in the first case n < 30 .
We can calculate that probability in the case of the second sample
Solve for x: x + 4 = 10 *
Your answer
Answer:
6
Step-by-step explanation:
A way to answer these questions like I usually do is to subtract the result by the number you already know, like this; 10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!
Hope this helps!
Answer:
x = 6
Step-by-step explanation:
x + 4 = 10
=> x = 10 - 4
=> x = 6
Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18
Answer:
x-intercept = -6 y-intercept = 9
Step-by-step explanation:
A line passes through the point (-9,8) and has a slope of
-4/3
Write an equation in slope-intercept form for this line.
Answer:
y = -4/3x - 4
Step-by-step explanation:
Given
(x1,y1) = (-9,8)
slope, m = -4/3
Required
Determine the line equation
The equation is of the form
y - y1 = m(x - x1)
Substitute values for y1, x1 and m
y - 8 = -4/3(x - (-9))
y - 8 = -4/3(x + 9)
y - 8 = -4/3x - 12
y = -4/3x - 12 + 8
y = -4/3x - 4
3^2 *3^x =81. Find the value of x.
Answer:
The answer is 16
Mark me as brainliest if it was helpful
Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom square tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches.
a. What is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? Use paper to show your work. Enter your answer in the box.
The side length of the largest square tile Hector can use to tile his shed floor is
inches.
b. How many floor tiles will Hector need to cover his shed floor?
Answer:
60 inches and he will need 4 tiles
A projectile is launched straight up from the ground with an initial velocity of 120 ft/s. If acceleration due to gravity is –16 ft/s2, after about how many seconds will the object reach a height of 200 ft?
Answer:
The projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Step-by-step explanation:
This projectile is experimenting a free fall, that is, an uniform accelerated motion of the projectile due to gravity and in which effects of air friction and Earth's rotation are neglected. Given that initial and final heights, initial velocity and gravitational acceleration are known, we need to calculate time by solving the appropriate equation of motion described below:
[tex]y = y_{o} +v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (Eq. 1)
Where:
[tex]y_{o}[/tex] - Initial height of projectile, measured in feet.
[tex]y[/tex] - Final height of projectile, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of projectile, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
As we must remember, quadratic functions have two roots and if we get that [tex]y_{o} = 0\,ft[/tex], [tex]y = 200\,ft[/tex], [tex]v_{o} = 120\,\frac{ft}{s}[/tex] and [tex]g = -16\,\frac{ft}{s^{2}}[/tex], then, the quadratic function is:
[tex]-8\cdot t^{2}+120\cdot t -200 = 0[/tex]
Roots are found by the Quadratic Formula:
[tex]t_{1,2} = \frac{-120\pm \sqrt{120^{2}-4\cdot (-8)\cdot (-200)}}{2\cdot (-8)}[/tex]
Whose solutions are:
[tex]t_{1} \approx 13.090\,s[/tex] and [tex]t_{2} \approx 1.910\,s[/tex].
Both roots are physically reasonable, first root represents the instant when the projectile reaches 200 feet when it is moving downwards, whereas second root represents the projectile moving upwards. Therefore, the projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Answer:
It will take 2.5 s to reach a height of 200ft.
Step-by-step explanation:
Find mangleQ
An image of two horizontal lines intersecting two diagonal lines is shown.· Both of the horizontal lines have a right arrow labeled on them.
· One of the diagonal lines extends from the upper left corner to the lower right corner.
· The other diagonal line extends from the upper right corner to the lower left corner.
· Both diagonal lines intersect with the top horizontal line in the upper left corner of the image.
· Six angles are formed at the intersection of these three lines.
· Angle upper Q is the angle at the top formed by the two diagonal lines.
· Moving clockwise around the intersection, angle upper R is formed by the horizontal line and the diagonal line extending from the upper right corner to the lower left corner.
· Moving clockwise around the intersection, the next two angles are unlabeled.
· The next angle is labeled 76 degree sign, and the last angle is unlabeled.
· Four angles are formed at the intersection of the lower horizontal line and the diagonal line that extends from the upper left corner to the lower left corner.
· The angle in the lower right position at this intersection is labeled 38 degree sign.
A. 76
B. 104
C. 66
D. 114
Answer:
66
Step-by-step explanation:
i just did this assignment and it said this was the right answer
Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults
4. Tell whether the equation is a linear equation.
4x-3y = 2
Answer:
What Is X and Y
Step-by-step explanation:
Answer:
It is a linear equation.
Step-by-step explanation:
It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.
a spanish class has a total of 46 students. the number of males is 4 more than the number of females. how many males and how many females are in the class?
Answer:
There are 25 males and 21 females in the class
Step-by-step explanation:
Let us use the equation to solve the question
∵ A Spanish class has a total of 46 students
∵ The number of males is 4 more than the number of females
→ Assume that the number of females is x
∵ The number of females = x
∴ The number of males = x + 4
→ Add the numbers of males and females and equate the sum by 46
∴ x + x + 4 = 46
→ Add the like terms in the left side
∴ 2x + 4 = 46
→ Subtract 4 from both sides
∴ 2x + 4 - 4 = 46 - 4
∴ 2x = 42
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{42}{2}[/tex]
∴ x = 21
∵ x represents the number of females
∴ There are 21 females
∵ x + 4 represents the number of males
∴ The number of males = 21 + 4 = 25
∴ There are 25 males
The distance covered
by a car in
3x hours is
27x3_9x²+3x. Find the rate of the car
Answer:
9x²-3x+1Step-by-step explanation:
The rate of the change of the car is is its speed.
Speed = distance/time
Given
Distance = 27x³-9x²+3x
Time = 3x hours
Speed = 27x³-9x²+3x/3x
factor out 3x from the numerator:
Speed = 3x(9x²-3x+1)/3x
Speed = 9x²-3x+1
Hence the rate of the car is 9x²-3x+1
Question 4 (1 point)
SPIRAL REVIEW QUESTION: In the equation y = 6x + 3, the SLOPE is:
a
6
be
6x
3
d
у
Answer:
6
Step-by-step explanation:
slope is m in the y=mx+b
Match the scenario with the law of logic it illustrates.
Question 1 options:
__Law of Syllogism
__Not a valid conclusion has been made.
__Law of Contrapositive
__Law of Detachment
1.
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2.
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet.
3.
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4.
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
I just took this and got an A, so here are the answers :)
Make sure to take notes or put this with your notes! :))
Answer:
Law of Syllogism: 3
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
Not a valid conclusion has been made: 4
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
Law of contrapositive : 2
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet
Law of Detachment: 1
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
explanation:
Syllogism:
p → q and q → r then p → r is also true.
Contrapositive:
If not q, then not p.
Detachment:
If p , then q
Consider versus A random sample of 16 observations taken from this population produced a sample mean of 75.8. The population is normally distributed with a. Calculate the p-value. Round your answer to four decimal places.
Answer:
The p-value is 0.0012.
Step-by-step explanation:
The hypothesis is:
H₀: µ = 72 vs. Hₐ: µ > 72
The information provided is:
[tex]n =16\\\bar x=75.8\\\sigma=5[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}[/tex]
[tex]=\frac{75.8-72}{5/\sqrt{16}}\\\\=3.04[/tex]
Compute the p-value as follows:
[tex]p-value=P(Z>3.04)\\\\=1-P(Z<3.04)\\\\=1-0.99882\\\\=0.00118\\\\\approx 0.0012[/tex]
*Use a z-table.
Thus, the p-value is 0.0012.
PLEASEE HELLPPPPP im dumb
Answer:
Im dumbmbbn slalsodl soak w uelwoelcome
Step-by-step explanation:
Answer:
1. A
2. it might be impetigo??
Step-by-step explanation:
Not sure but I believe this is correct.
which expression is equivalent to the expression shown f(5^4)^2
Problem 7.43 A chemical plant superintendent orders a process readjustment (namely shutdown and setting change) whenever the pH of the final product falls below 6.92 or above 7.08. The sample pH is normally distributed with unknown mu and standard deviation 0.08. Determine the probability: (a) of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is operating as intended and mu
Complete Question
Problem 7.43
A chemical plant superintendent orders a process readjustment (namely shutdown and setting change) whenever the pH of the final product falls below 6.92 or above 7.08. The sample pH is normally distributed with unknown mu and standard deviation 0.08. Determine the probability:
(a)
of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is operating as intended and [tex]\mu[/tex] = 7.0 probability
(b)
of readjusting (that is, the probability that the measurement is not in the acceptable region) when the process is slightly off target, namely the mean pH is [tex]\mu[/tex] = 7.02
Answer:
a
The value is [tex]P(X < 6.92 or X > 7.08 ) = 0.26431 [/tex]
b
The value is [tex]P(X < 6.92 or X > 7.08 ) = 0.29344 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 7.0[/tex]
The standard deviation is [tex]\sigma = 0.08[/tex]
Considering question a
Generally the probability of readjusting when the process is operating as intended and mu 7.0 is mathematically represented as
[tex]P(X < 6.92 or X > 7.08 ) = P(X < 6.92 ) + P(X > 7.08)[/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = P(\frac{X - \mu }{\sigma} < \frac{6.9 - 7}{0.08} ) + P(\frac{X - \mu}{\sigma} > \frac{7.08 - 7}{0.08} )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma} = Z(The \ standardized \ value \ of \ X)[/tex]
So
=> [tex]P(X < 6.92 or X > 7.08 ) = P(Z < \frac{6.9 - 7}{0.08} ) + P(Z > \frac{7.08 - 7}{0.08} )[/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = P(Z < -1.25) + P(Z > 1 )[/tex]
From the z table the probability of (Z < -1.25) and (Z > 1 ) is
[tex]P(Z < -1.25) = 0.10565[/tex]
and
[tex]P(Z > 1 ) = 0.15866[/tex]
So
=> [tex]P(X < 6.92 or X > 7.08 ) = 0.10565 + 0.15866 [/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = 0.26431 [/tex]
Considering question b
Generally the probability of readjusting when the process is operating as intended and mu 7.02 is mathematically represented as
[tex]P(X < 6.92 or X > 7.08 ) = P(X < 6.92 ) + P(X > 7.08)[/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = P(\frac{X - \mu }{\sigma} < \frac{6.9 - 7.02}{0.08} ) + P(\frac{X - \mu}{\sigma} > \frac{7.08 - 7.02}{0.08} )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma} = Z(The \ standardized \ value \ of \ X)[/tex]
So
=> [tex]P(X < 6.92 or X > 7.08 ) = P(Z < \frac{6.9 - 7.02}{0.08} ) + P(Z > \frac{7.08 - 7.02}{0.08} )[/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = P(Z < -1.5) + P(Z > 0.75 )[/tex]
From the z table the probability of (Z < -1.5) and (Z > 0.75 ) is
[tex]P(Z < -1.5) = 0.066807[/tex]
and
[tex]P(Z > 0.75 ) = 0.22663[/tex]
So
=> [tex]P(X < 6.92 or X > 7.08 ) = 0.066807 + 0.22663 [/tex]
=> [tex]P(X < 6.92 or X > 7.08 ) = 0.29344 [/tex]
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
Learn more about the inverse operations visit:
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A sample of size 100 is selected from a population with p = .40.
a. What is the expected value of p(bar)?
b. What is the standard error of p(bar)?
c. Show the sampling distribution of p(bar)?
d. What does the sampling distribution of p show?
Answer:
(a) 0.40
(b) 0.049
(c) [tex]\bar p\sim N(0.40,0.049^{2})[/tex]
(d) Explained below
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]E(\bar p)=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}[/tex]
Given:
n = 100
p = 0.40
As n = 100 > 30 the Central limit theorem is applicable.
(a)
Compute the expected value of [tex]\bar p[/tex] as follows:
[tex]E(\bar p)=p=0.40[/tex]
The expected value of [tex]\bar p[/tex] is 0.40.
(b)
Compute the standard error of [tex]\bar p[/tex] as follows:
[tex]SE(\bar p)=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{100}}=0.049[/tex]
The standard error of [tex]\bar p[/tex] is 0.049.
(c)
The sampling distribution of [tex]\bar p[/tex] is:
[tex]\bar p\sim N(0.40,0.049^{2})[/tex]
(d)
The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.
please help Im in class
Answer:
sorry cant help
Step-by-step explanation:
Answer:
8/10=2nd 3rd =2 4th=3/5
a baseball field is being constructed. the builders noticed that the batters would have the sun in their eyes when batting from point a. the builders decided to rotate the model 90 counterclockwise about the origin where is the new location of the batter?
A) E
B)F
C)G
D)H
Answer:
b
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Whats the inequality
12< -2y
Answer:
y< -6
Step-by-step explanation:
thas the answer
This is simple just divide -2 on both sides.
BUT, NEVER forget that if you divide a negitive then you need to swap the sign to the oppisite side.
12/-2 < y -> -6 > y or y < -6
your job requires that you work at least 40 hours a week you have already worked 15 and there are 4 more days left in the week how many hours do you have to work each day to get at least 40 hours: inequality and solution
Answer:
6.25 hours
Step-by-step explanation:
this is rather simple really,
first, you have to work 40 hours a week
you have already worked 15 so now you can subtract that
40-15= 25hrs
if you have 4 more days of the week you divide the remaining hours by the days left
25/4= 6.25hrs
that would be the bare minimum of hours for you to work a 40 hour week.
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
What is the answer for number 7
2
Divide: 4:- =
5
HELP FAST!!!!!!!!!
10/4 if its right also have a good my dude
light travels 3 x 10^5 kilometers in one second. how far does it travel in 7.6 seconds?
Answer:
1800000 kilometers
Step-by-step explanation:
i think im not 100% sure
The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.
Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?
Answer:
The value is [tex]X = 0.1719 [/tex]
Step-by-step explanation:
From the question we are told that
The entry fee is [tex]a = \$ 11[/tex]
The outcome for first place is [tex]b = \$ 58[/tex]
The outcome for second place is [tex]c = \$ 48[/tex]
The outcome for losing is [tex] d = - \$ 11[/tex]
The chance of finishing in the top two is X
Given that there are equal chance of finishing first or second, then the chance of finishing first is [tex]\frac{X}{2}[/tex]
and the chance of finishing second is [tex]\frac{X}{2}[/tex]
Then the chance of losing(i.e not finishing in the first two) is [tex]1 - X[/tex]
given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament E(X) = 0
So
[tex]E(X) = b * \frac{X}{2} + c * \frac{X}{2} * d * ( 1 - X)[/tex]
=> [tex]0 = 58 * \frac{X}{2} + 48 * \frac{X}{2} * -11 * ( 1 - X)[/tex]
=> [tex]0 = \frac{58X}{2} + \frac{48X}{2} * -11 + 11X)[/tex]
=> [tex]X = \frac{64}{11}[/tex]
=> [tex]X = 0.1719 [/tex]
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Right Angles, Alternate Interior Angles, Supplementary Angles, Equal Angles.
Step-by-step explanation:
Since S and R are both parallel lines, and line T is perpendicular to line S and R, we know that angles 16 and 17 form all right angles. Since all parts are right angles, we know that they are equal. Since two 90 degree angles form a supplementary angle, we know that angle 16 plus angle 17 is supplementary. We also know that these angles are alternate interior angles, as they are in the interior of each separate perpendicular part.
what is the place value of 4 and 3 in 4532160
Answer:
The 4 is in the 1,000,000´s place and 3 is in the 10,000 place
Step-by-step explanation: