Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The population mean is [tex]\mu = 4[/tex]
The sample mean is [tex]\= x = 3.79[/tex]
The standard deviation is [tex]\sigma = 1.2[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : \mu = 4[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]
=> [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]
=> [tex]z = -1.237[/tex]
From the z table the area under the normal curve to the left corresponding to -1.237 is
[tex]P(Z < -1.237) = 0.10804[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]
=> [tex]p-value = 0.21608[/tex]
Generally from the values obtained we see that
[tex]p-value > \alpha[/tex]
Hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the average is a different number for college students
Write the first three terms in the sequence given by the formula an = 8n + 4
Answer:
[tex]a_{1}[/tex] = 12
[tex]a_{2}[/tex] = 20
[tex]a_{3}[/tex] = 28
Step-by-step explanation:
In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.
[tex]a_{1}[/tex] = 8 x 1 + 4
[tex]a_{1}[/tex] = 8 + 4
[tex]a_{1}[/tex] = 12
Then.......
[tex]a_{2}[/tex] = 8 x 2 + 4
[tex]a_{2}[/tex] = 16 + 4
[tex]a_{3}[/tex] = 20
And finally .......
[tex]a_{3}[/tex] = 8 x 3 + 4
[tex]a_{3}[/tex] = 24 + 4
[tex]a_{3}[/tex] = 28
Solve for d.
5 + d > 5 – d
Answer:
d > 0
Step-by-step explanation;
There is 1 empty seat and 49 occupied seats on an airplane.What is the ratio of the number of empty seats to the number of occupied seats?
Step-by-step explanation:
This is a classic puzzle!
The answer is that the probability that the last person ends in up in his proper seat is exactly
1
2
The reasoning goes as follows:
First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:
1
2
.
Sorry, no clue about a physical system
write the slope intercept form of the equation of each line just need help with 1 to undersand the subject. i will do the rest :)
EXPLAIN YOUR ANSWER OR I WILL NOT MARK BRAINLIEST AND I WILL REPORT
3x-2y=-16
slope intercept form is y=mx+b
move 3x to the other side
sign changes from +3x to -3x
3x-3x-2y=-3x-16
-2y=-3x-16
divide both sides by -2 to get y by itself
-2y/-2=-3x/-2-16/-2
y=3x/2+8
answer:
y=3x/2+8
Rock-paper-scissors is a hand game played by two or more people where players choose to sign either rock, paper, or scissors with their hands. We would like to test if players choose between these three options randomly, or if certain options are favored above others. What hypothesis test should we conduct to answer this research question?
a. Chi square test of independence
b. Chi square test of goodness of fit
c. Compare two means
d. Compare two proportions
Answer:
The hypothesis test should we conduct to answer this research question is:
a. Chi square test of independence
Step-by-step explanation:
The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others." It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related. The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value. After repeating this process for all the elements involved, the sum is obtained.
Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
3/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
3/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
Answer:
4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8
Step-by-step explanation:
What is the square root of 49?
Answer:
7
Step-by-step explanation:
7×7=49
.............
Answer:
The answer is 7.
7² is equals to 49.
Which numbers are factors of 16? Check all that apply.
o 2
o 3
o 4
o 8
o 16
o 32
Answer:
2,4,8,16
Step-by-step explanation:
2*8=16
4*4=16
8*2=16
16*1=16
those are the numbers you have that can give u 16 but with 3 and 32 no
Hope this helped!
Answer:
2,4,8,16
Step-by-step explanation:
That’s your answer
Which point is on both lines?
С
B
D
point C
point A
point D
point B
Answer:
point d that is it because I knwo
Answer:
Point D
Step-by-step explanation:
Point D is on both lines because that is where the lines intersect.
Ppls help i give brainlist
Hello I need urgent help with this question!!
Answer:
B
Step-by-step explanation:
First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4
That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!
click the heart button to give thanks :) merry xmas
plzplzplz helllllllllllppppppppppppppppppppppppppppp mmmmmmmmmmmeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee please
Answer:
what do you need help with
3 1/2 miles in 1/2 hour
Answer:
? 7 miles an hour i guess
Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?
Answer:
The unit rate per week is $4.
Step-by-step explanation:
Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?
The answer is 4
4/n = 4/5
Please provide best answer:
A: n = 5
B: n = 5/16
C: n = 3 1/5
D: n = 50
Answer:
[tex]\huge\boxed{\sf n = 5}[/tex]
Step-by-step explanation:
[tex]\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
n = 5
Step-by-step explanation:
[tex] \frac{4}{n} = \frac{4}{5} [/tex]
Dividing 4 on both the sides gives ,
[tex] = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4[/tex]
[tex] = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} [/tex]
Cancelling 4 from numerator and denominator from both the sides ,
[tex] = > \frac{1}{n} = \frac{1}{5} [/tex]
Cross-multiplying the denominators of both sides,
[tex] = > n = 5[/tex]
The Davidson family belongs to a food co-op with 8 other families.44 pounds of potatoes were purchased, and each family will receive 1 8 eight of potatoes. The Davidson family will receive Of the potatoes.
Answer:
see below
Step-by-step explanation:
Portion:
1/8 = 0.125
Each of the family will get:
44 pounds * 0.125 = 5.5 pounds of potatoes
**Five and a half pounds of potatoes.
???? Help me and I’ll mark as brainliest
Answer:
15
Step-by-step explanation:
Answer:
I believe the answer is 6.
Step-by-step explanation:
#1
If Four cups of flour makes seven dozen holiday cookies, how many cups of flour are needed to make 126
cookies?
Answer:
6 cups to make 126 cookies
Step-by-step explanation:
dozen = 12 cookies
7 x 12= 84
126 - 84 = 42
so you will have to make 42 cookies more and that will be 2 more cups of flour
it total is 6 cups to make 126
For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?
Answer:
[tex]F = 27N[/tex]
Step-by-step explanation:
Given
Force directly proportional to acceleration
Force = 21N when Acceleraion = 7m/s^2
Required
Determine the force when acceleration = 9m/s^2
The variation between force (F) and acceleration (A) implies that:
[tex]F\ \alpha\ \ A[/tex]
Convert to an equation
[tex]F = mA[/tex]
Where m is constant.
When F = 21 and A = 7, we have:
[tex]21 = m * 7[/tex]
Solve for m
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
When A = 9
Substitute 9 for A and 3 for m in [tex]F = mA[/tex]
[tex]F = 3 * 9[/tex]
[tex]F = 27N[/tex]
evaluate (12÷x)+3^2 when x =4
Answer:
12
Step-by-step explanation:
12/4=3
3^2=9
3+9=12
1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?
Answer:
A) 22.63
Step-by-step explanation:
Well as we all know to find the area of a parallelogram u have to multiply Base by Height = Area ; Base×Height=Area
As so: 7.3×3.1=22.63
Final answer 22.63
Please help I keep on watching the vids but I’m not understanding
Answer:
3053.63 yd^3
Step-by-step explanation:
There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.
What’s the answers. Please and thanks
Answer:
a) 500
b) 9.6 years
Step-by-step explanation:
Population of Ilamas
a) P = 500 e ^0.035t
Find P when t = 0
Solving for P
P = 500 e ^0.035 × 0
P = 500 × e ⁰
P = 500 × 1
P = 500
The population of the Ilamas when t = 0 is 500
b ) Find t when P = 700
P = 500 e ^0.035t
700 = 500 e ^0.035t
Divide both sides by 500
700/500 = 500 e ^0.035t/500
7/5 = e ^0.035t
1.4 = e ^0.035t
Take In of both sides
In 1.4 = In (e ^0.035t)
In 1.4 = 0.035t
t = In 1.4/0.035
t = 0.3364722366/0.035
t = 9.6134924749 years
t = Approximately to the nearest tenth of a year = 9.6 years
Will give brainleist PLEASE HELP ASAP
Sorry if it’s a bit blurry
Answer:
too blurry, I cant see the numbers
Answer:
X=5
Step-by-step explanation: I have attached my full work, but essentially, it is important to understand that all angles in a triangle equal 180 degrees. Also, we know that angles that form a line equal 180 degrees, so we can solve for the unknown by setting all of the angles in the triangle to 180 degrees to get an algebraic equation.
Which statement about 3 multiplied by 2/3 must be true?
What is the value of x in the equation 25-0 25x=-3? 0 -22 0 -11 o 11 o 22
Answer:
x=11
Step-by-stepx+11 explanation:
this was an accident ignore this
the relationship between altitude and the boiling point of a water and liquid is in the new year at an altitude of 8000 feet the liquid boils at 204.4 degrees Fahrenheit
at now altitude of 4300 feet ,the liquid boils at 208.84 degrees Fahrenheit. write an equation given the boiling point B of the liquid in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of a liquid at 2500 ft?
Answer:
Boiling B would probaly Have
a huge impact on the answer
Step-by-step explanation:
Please help this is for a grade I don’t know the answer will give brainlest
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²