Answer: Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Step-by-step explanation:
Given that;
U = 75
X = 78
standard deviation α = 10
sample size n = 20
population is normally distributed
PROBLEM is to test
H₀ : U = 75
H₁ : U ≠ 75
TEST STATISTIC
since we know the standard deviation
Z = (X - U) / ( α /√n)
Z = ( 78 - 75 ) / ( 10 / √20)
Z = 1.3416 ≈ 1.342
Now suppose we need to test at ∝ = 0.05 level of significance,
Then Rejection region for the two tailed test is Zc = 1.96
∴ Reject H₀ if Z > Zc
and we know that Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
At the null hypothesis, we test if the mean is of 75, that is:
[tex]H_0: \mu = 75[/tex]
At the alternative hypothesis, we test if the mean is different of 75, that is:
[tex]H_1: \mu \neq 75[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation.n is the size of the sample.For this problem, we have that:
[tex]X = 78, \mu = 75, \sigma = 10, n = 20[/tex]
The value of the test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}[/tex]
[tex]z = 1.34[/tex]
Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
2(0.0901) = 0.1802
The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
A similar problem is given at https://brainly.com/question/15535901
(4x + 7)ºX[5(x – 4)]°
What is the Value of X?
Answer:
x = 27°Step-by-step explanation:
From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite
Since vertically opposite angles are equal we can equate them to find x
That's
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20
Group like terms
5x - 4x = 20 + 7
x = 27°Hope this helps you
2. Find the value of [tex]5\sqrt[3]{1728} + 100 \sqrt[4]{81} - (6\sqrt{10} )x^{2}[/tex]
(a) 1 (b) 0 (c) 8 (d) 10
Answer:
(b) 0
Step-by-step explanation:
Assuming a typo in the last term:
5 (1728)^(1/3) + 100(81)^(1/4) - ( 6(10)^(1/2) )^2
=5(12) + 100(3) -36(10)
=60+300-360
=0
Answer:
[tex]\boxed{\sf (b) \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 5\sqrt[3]{1728} +100\sqrt[4]{81} -(6\sqrt{10} )^2[/tex]
[tex]\sf Evaluate.[/tex]
[tex]\sf 5(12)+100(3) -((6)^2 (\sqrt{10})^2)[/tex]
[tex]\sf 60+300 -(36(10))[/tex]
[tex]\sf 360-360[/tex]
[tex]\sf 0[/tex]
What the answer now and answer fast correct answer
Answer:
Using the given information in the problem, the value of f is 9
Step-by-step explanation:
In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.
Let's set up our equation for tangent.
[tex]Tan(58)=\frac{15}{f}[/tex]
Since we are looking for f , then we will rearrange the equation.
[tex]f=\frac{15}{tan(58)}[/tex]
Now, we will solve for x. You can use a calculator to do these calculations.
[tex]f=9[/tex]
So, the value of f in the triangle is 9.
Answer: f=9
Because quick mafs says so
A large rectangle has side lengths of 8 meters and 6 meters. A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. What is the area of the remaining part of the large rectangle?
Answer: 16m²
Step-by-step explanation:
A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:
= 8m × 6m
= 48m²
A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:
= 4m × 2m
= 8m²
Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.
Area of the remaining part of the large rectangle will be:
= 4m × 4m
= 16m²
It takes Mark 3 minutes to make 1 1/2 inches of a bracelet. If he works at the same speed, how many minutes will it take him to make a 12-inch bracelet
Answer:
24 minutes
Step-by-step explanation:
Working at the same speed, the ratio of time to length is the same:
time/length = t/12 = 3/(1.5)
t = 12(3/1.5) = 12(2) = 24
It will take Mark 24 minutes to make a 12-inch bracelet.
What are transformation possible to change f(x) to g(x) on graph linear equation
Answer:
Vertical stretch or compression and vertical shift.Step-by-step explanation:
When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.
Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.
Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.
The image attached shows examples of this.
A penny is dropped from a height of 144 feet. Calculate the time between when the rock was dropped and when it landed. If we choose
"down" as positive and ignore air friction, the function is h(t) 16t2 - 144.
Answer:
3 seconds
Step-by-step explanation:
Given the function :
h(t) = 16t2 - 144.
h = height = 144 and t = time after t seconds the ball penny was dropped.
When the penny lands, h = 0
Therefore, our function becomes ;
16t2 - 144 = 0
The we can solve for t
16t^2 - 144 = 0
16t^2 = 144
Divide both sides by 16
(16t^2 / 16) = 144 / 16
t^2 = 9
Take the square root of both sides
t = 3
Therefore, the time between when the rock was dropped and when it landed is 3seconds
Answer:
t = 3 seconds
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
(4,0)
Step-by-step explanation:
The zeros of the quadratic functions are where it crosses the x axis
It crosses at x=-2 and x=4
( -2,0) and (4,0)
Answer:
[tex]\boxed{(4,0)}[/tex]
Step-by-step explanation:
A zero of a quadratic function is where the parabola touches a point on the x-axis.
The parabola touches two points on the x-axis:
(4, 0) and (-2, 0)
A zero of the quadratic function is (4, 0).
The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line
Answer:
Option C. 3
Step-by-step explanation:
Let M1 be the slope of the red line
Let M2 be the slope of the green line
From the question:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
The slopes of perpendicular lines are related as follow:
M1 = –1 / M2
With the above formula, the slope of the green line (M2) can be obtained as illustrated below:
Slope of red line (M1) = – 1/3
Slope of green line (M2) =.?
M1 = –1 / M2
– 1/3 = –1 / M2
Cross multiply
– 1 × M2 = – 1 × 3
– 1 × M2 = – 3
Divide both side by –1
M2 = – 3/ –1
M2= 3
Therefore, the slope of the green line is 3.
pls i want help on this one
Answer:
1808 people
Step-by-step explanation:
Find 1% by dividing by 100.
1600/100=16
Multiply 16 by 13.
208
Add it to 1600.
1808
There are now 1808 people.
How does the graph of g(x) = (x + 4)^3-6 compare to the parent function f(x)=x^3 Choices:
Explanation:
f(x) = x^3
f(x+4) = (x+4)^3 .... shifts graph 4 units to the left
f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down
The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.
The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.
How to do this question
Answer:
1/17
Step-by-step explanation:
You're on the right track so far!
(2³ + 3²) ⁻¹
= (8 + 9) ⁻¹
= (17) ⁻¹
= 1/17 (Remember, (a)⁻ⁿ = 1 / aⁿ)
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
A = 2 B = 3
(a^b + b^a)^-1
(2^3 + 3^2)^-1
1/7 or 0.058824
Hope this helped!! ٩(◕‿◕｡)۶
λ represents the average rate, and the expected number of events in a given time frame for the ____________ distribution.
A. Poisson
B. normal
C. binomial
D. geometric
Answer:
The correct answer is:
Poisson (A.)
Step-by-step explanation:
A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.
Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.
If AD is the altitude to BC, what is the slope of AD?
A. 2/5
B. -5/2
C. 5/2
D. -2/5
Answer:
Option (C)
Step-by-step explanation:
If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
where [tex]m_1[/tex] is the slope of the line AD and [tex]m_2[/tex] is the slope of BC.
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{8+2}{3-7}[/tex]
[tex]=-\frac{5}{2}[/tex]
Now from the given property,
[tex]m_1\times (-\frac{2}{5})=-1[/tex]
[tex]m_1=\frac{5}{2}[/tex]
Therefore, slope of altitude BC = [tex]\frac{5}{2}[/tex]
Option (C) will be the answer.
Solve this problem n-6/-4=6
Answer:
N= 9/2
Step-by-step explanation:
Answer:
n = - 18Step-by-step explanation:
[tex] \frac{n - 6}{ - 4} = 6[/tex]
Cross multiply
We have
n - 6 = - 4 × 6
n - 6 = - 24
n = - 24 + 6
n = - 18Hope this helps you
In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between groups in this study
Answer:
20
Step-by-step explanation:
Given that:
The study group n = 4
number of participants = 10
the sum of squares for the between-groups source of variation is 60
The objective is to determine the mean square between groups in this study
The mean square between groups in this study compares the means of the group with the sum of squares for the between-groups source (i.e the grand mean)
For this analysis;
the degree of freedom = n-1
the degree of freedom = 4 - 1
the degree of freedom = 3
Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]
the mean square between groups = 20
Is the following relation a function?
Answer:
No, Given relation is not a function.Explanation:
We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.
From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.
Hence, Given relation is not a function.
Hope this helps...
Good luck on your assignment...
Experimental probability
Answer:
85%
Step-by-step explanation:
Let’s identify all the outcomes less than 10, that would be 2-9
The number of times the die was rolled is obtainable by adding all the frequencies ;
That would be ;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Now let’s add the frequencies of results which are less than 10;
That would be the frequencies of the numbers 2-9;
Thus, we have;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85
The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%
Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.
Answer:
First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Step-by-step explanation: Sample Response on Edge
The estimation of the solution to the tenths place is given below.
What is rounding off?
Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
A graph of a system that has exactly one solution.
Now,
Let a solution of the graph of a system = (2.37, 1)
So, We can estimate the solution of the system to tenth place as;
⇒ 2.37 = 2.4 (round to tenth place)
Thus, The solution of the system to the tenths place will be;
⇒ (2.3 , 1)
Learn more about the rounding number visit:
https://brainly.com/question/1620496
#SPJ2
PLSSS HELP What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ... an = -2n + 3 an = -2n + 7 an = 5n + 3 an = 5n - 7
Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
an = -2n +3
-2(1) +3 = 1 . . . . not -2
an = -2n +7
-2(1) +7 = 5 . . . . not -2
an = 5n +3
5(1) +3 = 8 . . . . not -2
an = 5n -7
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
Express 429 as a product of its prime factors
Answer:
The answer is 429 = 3×11×13.
Step-by-step explanation:
You have to divide by prime number :
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Answer:
3×11×13
Step-by-step explanation:
Start dividing by prime numbers. Since the number is even two won't work so next is three. If you divide 429 by 3 you get 143. You continue doing this with primes going up (5, 7, 11, 13, etc.) until you get to the final prime. 5 and 7 don't work if you try dividing them by 143 individually so next up is 11. If you divide 11 by 143 you get 13 which is also a prime number. Therefore, 3×11×13 is a product of prime factors.HELLLLLLPPPPPP MEEEE PLEASEEEEE!!!!!! Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the interval . Solve algebraically, and show your work and final answer in the response box. Hint: Use the amplitude to determine what y(t) must be when the weight is halfway to its maximum negative position. Graph the equation and explain how it confirms your solution(s).
Answer:
0.20, 0.36 seconds
Step-by-step explanation:
We have already seen that the equation for y(t) can be written as ...
y(t) = √29·sin(4πt +arctan(5/2))
The sine function will have a value of -1/2 for the angles 7π/6 and 11π/6. Then the weight will be halfway from its equilibrium position to the maximum negative position when ...
4πt +arctan(5/2) = 7π/6 or 11π/6
t = (7π/6 -arctan(5/2))/(4π) ≈ 0.196946 . . . seconds
and
t = (11π/6 -arctan(5/2))/(4π) ≈ 0.363613 . . . seconds
The weight will be halfway from equilibrium to the maximum negative position at approximately 0.20 seconds and 0.36 seconds and every half-second thereafter.
can anyone help me with this ?
Answer: x=35
Step-by-step explanation:
There are 720 degrees total in a hexagon. So, all of the angles should add up to that. Write out the equation
720= (4x-5)+(117)+(3x-3)+(3x+6)+(118)+(4x-3)
720=14x+230
490=14x
x=35
hope this helped you:)
I need help please answer ASAP Have a good explination.
Will give brainliest
Answer and Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Now let's solve by using this statement..
1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.
3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
Hope this helped... If yes plz mark as BRAINLIEST and follow me.
Tysmm!!!
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = 17671.46
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = 343
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
Hope this helps :)
Answer:
130 cubes ( if the cylindrical height is 25 in )
51 cubes ( if the cylindrical height is 25 cm)
Step-by-step explanation:
cube edges = 7 cm long
volume of the soup = pi * r² * h
where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm
cylindrical pot diameter d = 30 cm
Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 44,885.5 / 343 = 130 cubes
therefore, Sharon can make 130 whole cubes
-----------------------------------------------------
if the cylindrical height is 25cm then
Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 17,671.5 / 343 = 51 cubes
PLEASE HELP!! ASAP PLEASE!!
Answer:
option c is the right answer
Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
[tex]-16t^2<-64[/tex] then divide both sides by -16:
[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Answer:
A on edg
Step-by-step explanation:
how to do this question plz answer
Answer:
4 cm
Step-by-step explanation:
The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.
When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...
(4/5)(5 cm) = 4 cm
Answer:
Depth = 4cm
Step-by-step explanation:
Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.
Thus,
the new depth is 4cm.
Hope this helps :)
Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.
Answer:
(-7/9, -4/9)
Step-by-step explanation:
i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL
Hope do will on what you are doing :)
If you want you can give me brainliest, it helps me a lot
have a good day :)
Answer:
I got (1,-4) on my Khan
Step-by-step explanation:
40 = 90^2/16 sinx cosx find x
Answer:
x = 4.545Step-by-step explanation:
Given the expression
[tex]40=\frac{90^2}{16} sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 = 90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\[/tex]
[tex]Hence, \ \frac{640}{8100} = \frac{sin2x}{2} \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545[/tex]