Answer:
The answer is 0
Step-by-step explanation:
m(x)=2x3- 3x+12
m(-2)=6-3(-2)+12
=6-6
=0
Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level.
This question is incomplete, the complete question is;
Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level.
The test is based on a sample of 55 people, the sample mean GPA was 2.23 with a standard deviation of 0.06
Answer:
P-value is less than the significance level.
We reject null hypothesis.
Therefore, there is enough evidence to conclude that the mean GPA of night students is larger than 2.2
Step-by-step explanation:
Given the data in the question;
Claim : The mean GPA of night student is larger than 2.2
μ = 2.2
sample size n = 55
sample mean x' = 2.23
standard deviation s = 0.06
Hypothesis
Null hypothesis H₀ : μ ≤ 2.2
Alternative hypothesis H₁ : μ > 2.2
Right-tailed Test.
Significance Level ∝ = 0.10
so critical value [tex]t_{(0.10, df=54)[/tex] = 1.297
Test Statistic
T[tex]_{cal[/tex] = (x'-μ) / (s/√n)
we substitute
T[tex]_{cal[/tex] = (2.23 - 2.2 ) / (0.06 / √55)
= 0.03 / 0.00809
T[tex]_{cal[/tex] = 3.71
T[tex]_{cal[/tex] is greater than critical value, so it falls in the rejection region;
p-value = P( t > 3.71 ) = 0.000245
P-value is less than the significance level.
We reject null hypothesis.
Therefore, there is enough evidence to conclude that the mean GPA of night students is larger than 2.2
A theater is selling movie tickets. The first night, 19 Senior tickets and 57 Adult tickets were sold. The second night, 20 Senior tickets and 62 Adult tickets were sold. On which night did the theater sell a higher ratio of Senior tickets to Adult tickets
Answer:
The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
Step-by-step explanation:
Rate of senior tickets to adult tickets:
Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.
The first night, 19 Senior tickets and 57 Adult tickets were sold.
19 out of 19 + 57 = 76. So
19*100%/76 = 25%
The second night, 20 Senior tickets and 62 Adult tickets were sold.
20 out of 20 + 62 = 82. So
20*100%/82 = 24.39%
25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample of 80 adults in the large city, which of the following properly describes the sampling distribution of the sample proportion of adults who support the stadium?
A) Mean: 36.8, Sigma P-hat: 4.46, the distribution is approximately normal.
B) Mean: 36.8, Sigma P-hat: 4.46, shape of the distribution is unknown.
C) Mean: 0.46, Sigma P-hat: 0.056, the distribution is approximately normal.
D) Mean: 0.46, Sigma P-hat: 0.056, shape of the distribution is unknown.
E) Mean: 43.2, Sigma P-hat: 4.46, the distribution is binomial.
Find the slope of a line that passes through points (–1, –5) and (6, 9). Question 2 options: A) 1∕2 B) –2 C) 4∕5 D) 2
Answer:
[tex]D) 2[/tex]
Step-by-step explanation:
The slope of a line is used to describe the average rate of change. Often referred to as the ([tex]\frac{rise}{run}[/tex]), the general formula to find the slope of a line is the following,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are both points on the line. One is given that the following points are on the line,
[tex](-1, -5)\\\\(6, 9)[/tex]
Substitutes these values into the formula and solve for the slope,
[tex]\frac{9-(-5)}{6-(-1)}[/tex]
Simplify, remember negative times negative equals positive,
[tex]\frac{9+5}{6+1}[/tex]
Combine like terms,
[tex]\frac{14}{7}[/tex]
Simplify further, remember a fraction is another way of representing division,
[tex]2[/tex]
Simply the following 5 1/3 -7 5/6 + 6 1/4
Answer:
[tex]3 \frac{3}{4}\\[/tex] / 3.75
Step-by-step explanation:
Step 1: Make all the mixed numbers, improper fractions:
[tex]5 \frac{1}{3} = \frac{16}{3}[/tex]
[tex]7\frac{5}{6} = \frac{47}{6}[/tex]
[tex]6\frac{1}{4} =\frac{25}{4}[/tex]
In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.
[tex]\frac{16}{3} = \frac{64}{12}[/tex]
[tex]\frac{47}{6} = \frac{94}{12}[/tex]
[tex]\frac{25}{4} = \frac{75}{12}[/tex]
Time to solve:
[tex]\frac{64}{12} -\frac{94}{12} + \frac{75}{12} =[/tex]
[tex]\frac{-30}{12} + \frac{75}{12} =[/tex]
[tex]\frac{45}{12}[/tex]
Simplify:
[tex]\frac{45}{12} = \frac{15}{4}[/tex]
Convert to a mixed number:
[tex]3 \frac{3}{4}[/tex]
Hope this helps!
Answer to the question
Answer:
x = 4Step-by-step explanation:
102 + 102 + 24x + 24x - 18 - 18 = 360
204 + 48x - 36 = 360
204 + 48x = 360 + 36
204 + 48x = 396
48x = 396 - 204
48x = 192
x = 192/48
x = 4
Answer:
x = 4. . . .. . . . ... . . . .
. .. . . .. . .
You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis
Answer:
Number of degrees of freedom = 2
Step-by-step explanation:
The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.
Here the total phenotype number is three i.e yellow, purple, or red
Hence, the number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = 3-1
Number of degrees of freedom = 2
Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer.
Answer:
The probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Step-by-step explanation:
Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:
7 - 4 = 3
4/7 x 3/7 x 3/7 x 4/7 = X
0.571 x 0.428 x 0.428 x 0.571 = X
0.0599 = X
Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.
what is the area of Ghana?
Answer:
its 238,535km²
Step-by-step explanation:
i hope it helps alot
What is the area of Ghana?
ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
f(x)=2x^2+3x^2-7x+2 g(x)=2x-5
Find (f+g)(x)
Answer:
[tex](f+g)(x) = 5x^2 -5x - 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 3x^2 -7x + 2 = 5x^2 -7x + 2\\\\g(x) = 2x - 5\\\\(f + g)(x) = f(x) + g(x) \\[/tex]
[tex]= (5x^2 - 7x + 2 ) + ( 2x - 5)\\\\= 5x^2 - 7x + 2x + 2 - 5\\\\= 5x^2 -5x - 3[/tex]
Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda. If cranberry juice costs $3.60 per bottle and lemon-lime soda costs $1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, at most how many bottles of cranberry juice can he buy if he only has $38.40
Answer:
Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
Step-by-step explanation:
Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:
20 x 1.40 + 10 x 3.60 = 64
10 x 1.40 + 5 x 3.60 = 32
12 x 1.40 + 6 x 3.60 = 38.40
Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
4^x=39
Need help as soon as possible
Answer:
X =9.75
correct me y'all if am wrong ❤️
Answer:
x= 2,6427...
used computer
) So if you buy 3 combo meals that each come with 2 tacos and one drink, how much do you have altogether?
Answer:
7
Step-by-step explanation:
3 combos
2 tacos
1 drink
3 combos × 2 taco = 6
6 is for the combos and tacos.
6 + 1 drink = 7
they have 7 altogether
PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
Additional comment
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22
Jane, Shen, and Chris sent a total of 152 text messages during the weekend. Shen sent 4 times as many messages as Chris. Jane sent 8 more messages than
Chris. How many messages did they each send?
Answer:
Chris=24
Jane=32
Shen=96
Step-by-step explanation:
Chris= x
Jane = x + 8
Shen = 4x
6x+8= 152
152-8=144
6x=144
144/6=24
x=24
help me with this please
Answer:
the numbers that right of the origin on the x axis are positive numbers
Answer:
positive
Step-by-step explanation:
positive runs on the right of x -axis
negative runs on the left of the x-axis
prime and odd will never be running on either side of x-axis
hope it helps!!!!!!
HELP ASAP!!! Question: Lisa wants to know how high a kite is flying. Her brother tells her that the string is 500 feet long which is nailed to the ground. Using a protractor she finds that the angle made by the string and the ground is 65 degrees. Explain in detail with step by step instructions of how Lisa can find the height, perpendicular to ground, that the kite is flying. Find the height.
Answer:
sin = opp/hyp
height = opp side
hyp = length of string
sin65 = height / 500
multiply both sides by 500
500 * sin 65 = height
use calculator
453.153893518324982 = height
~ 453 feet
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ouncesTherefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
Thus, Margin of error = [tex]Z_{critical}[/tex] × σ / √n ([tex]Z_{critical}[/tex] at α=.010 is 1.645)Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
Use the formula for the sum of the first n integers either to evaluate the sum or to express it in closed form.
a. 9 + 10 + 11 + 12 + .........+ 400
b. 9 + 10 + 11 + 12 +......... + k
Answer:
A) 80,164
B) S_n = (n/2)(17 + n)
Step-by-step explanation:
A) Formula for the nth term of an arithmetic progression series is;
a_n = a + (n - 1)d
a is first term of the series and in this case it is 9.
Difference is d which is 1 since they are consecutive integers.
Thus, For the last term which is 400, we have;
400 = 9 + (n - 1)1
400 - 9 = n - 1
391 = n - 1
n = 391 + 1
n = 392
Thus,there 392 terms in this sequence.
Formula for sum of an AP is;
S_n = (n/2)(2a + (n - 1)d)
S_392 = (392/2)((2 × 9) + (392 - 1)1)
S_392 = 80,164
B) The last term here is k, so we can't know exactly how many terms are in this sequence. Thus, let the number of terms be n.
Now, as above,
a = 9
d = 1
Sum of this AP sequence is;
S_n = (n/2)((2 × 9) + (n - 1)1)
S_n = (n/2)(18 + n - 1)
S_n = (n/2)(17 + n)
Which equation represents the slope-intercept form of the line below?
.
y-intercept = (0, 2)
slope = -
O A. y=-x-2
O B. y=-3x+2
C. y=2x-3
Answer:
B
Step-by-step explanation:
Let me know if you need a detailed explanation.
Hope this helps!
. If 2n - 5m + 10 = 0, find
i) m, when n=2 ii) n, when m=5
Answer:
when n = 2; m = 2 [tex]\frac{4}{5}[/tex]
when m=5; n = [tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
2n - 5m + 10 = 0
-10 -10
2n - 5m = -10
2(2) - 5m = -10
4 - 5m = -10
-4 -4
-5m = -14
-5 -5
m = 2 [tex]\frac{4}{5}[/tex]
2n - 5(5) = -10
2n - 25 = -10
+25 +25
2n = 15
2 2
n = [tex]7\frac{1}{2}[/tex]
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x)=36x−2x^2
Answer:
[tex]x =9[/tex] --- the critical point
Step-by-step explanation:
Given
[tex]f(x) =36x -2x^2[/tex]
Required
Determine the critical numbers
First, we differentiate f(x)
[tex]f'(x) = 36 - 4x[/tex]
Set to 0 and solve for x
[tex]36 -4x = 0[/tex]
Make 4x the subject
[tex]4x = 36[/tex]
Solve for x
[tex]x =36/4[/tex]
[tex]x =9[/tex]
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
Solve for x.
MULTIPLE CHOICE!
THANK YOU!
Answer: 3 I think
Step-by-step explanation:
If you deposited 15,000 at an interest rate of 1.5% how much would you have after 10 years
Answer:
Step-by-step explanation:
A= P(1+r/100)^n
= 15000(1+1.5)^10
= 17408.11 [Ans]
Answer:
Step-by-step explanation:
principal (P)=15000
rate (T)=1.5%
time (R)=10 years
first lets find interest
Interest=PTR/100
=15000*1.5*10/100
=225000/100
=2250
Now total amount he gets after 10 years at the reate of 1.5% is
Amount = Principal + Interest
=15000 + 2250
=17250
Therefore he gets 17,250.
cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n }.
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u k = + (2,3, 1) 2 là một tổ hợp tuyến tính của W , và suy ra [ ] u W
Which of the following is equal to the ratio 5cm:5m:0.02km?
A. 10: 400 C. 1: 100: 400
B. 300:2000 D. 10: 500
Answer:
Its C. When you are getting ratios, we need to convert the units too...
The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
We have to given that;
The ratio is,
⇒ 5cm:5m:0.02km
Now, We can simplify the ratio as;
⇒ 5 cm : 5 m : 0.02 km
⇒ 5 cm : 5 x 100 cm : 0.02 x 100000
⇒ 5 cm : 500 cm : 2000 cm
⇒ 1 : 100 : 400
Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
Learn more about the ratio visit:
https://brainly.com/question/12024093
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How would you classify the number 121?
A. Perfect square
B. Perfect cube
C. Both a perfect square and a perfect cube
D. Neither a perfect square nor a perfect cube
A . Perfect square
Step-by-step explanation:
This is your answer
Hope this helps you :)
Answer: B- Perfect cube
Step-by-step explanation: I am smort
How on earth do you do this. Proofs are hard how are people even good at these.
Answer:
Angle DCE is congruent to angle 5 because they are vertical angles. If angle 4 is congruent to angle 5, that means it is also congruent to angle DCE by the transitive property.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Hi there!
We're given the triangle ABC with lines AC and BC extended to get the lines AD and BE.
<DEC is formed by lines AD and BE, with C as the vertex.
We're also given that <4≅<5.
You may notice that <DCE and <5 are vertical angles, which means that they share the same vertex (vertex C), and are opposite to each other.
There is a theorem that states vertical angles are congruent.
therefore, <DCE≅<5 by vertical angle's theorem.
But we need to prove that <DCE≅<4
There is a property known as transitivity, where if a=b and b=c, then a=c.
Since both <DCE and <4 are congruent to <5, they also must be congruent to each other via transitivity
Hope this helps! :)
