Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.
What are the hypothesis tested?At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: \mu_A - \mu_B = 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is:
[tex]H_1: \mu_A - \mu_B = 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, we have that:
[tex]\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2[/tex]
[tex]\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_A - \mu_B = 73 - 74 = -1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{-1 - 0}{0.447}[/tex]
[tex]t = -2.24[/tex]
What is the p-value and the decision?Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.
Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.
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Simplify 4^1 and explain which rule you used.
Answer:
[tex] {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number[/tex]
The value of the expression 4¹ will be equal to 4.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"
It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that the exponential number is 4¹. The value of the exponent will be calculated as,
E = 4¹
E = 4
From the law of exponents, the value of 4¹ will be 4.
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what is a polygon with 3 sides called?
Answer:
A triangle.
Step-by-step explanation:
A polygon with three sides is called a triangle.
If all the lengths and angles of the polygon are equal, it is said to be regular polygon.
A regular polygon having three equal sides is an equilateral triangle.
Tim has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?
if Tim has read 10% of the book, that means he still hasn't read 90% of it yet, and we know that that 90% is 45 pages, so say the book has a total amount of pages of "x", which is 100%.
[tex]\begin{array}{ccll} pages&\%\\ \cline{1-2} 45&90\\ x&100 \end{array}\implies \cfrac{45}{x}=\cfrac{90}{100}\implies \cfrac{45}{x}=\cfrac{9}{10} \\\\\\ 450=9x\implies \cfrac{450}{9}=x\implies 50=x[/tex]
4 Find the total surface area of the prism.
5 in.
11 in.
-
-
-
-
-
6 in.
1
1
1
-
Answer:
121
Step-by-step explanation:
=5+6=11
=11(11)
=121
What about this one?
Answer:
Answer:
= 1.044
Step-by-step explanation:
-------------------------------
Answer:
0.36 x 2.9 = 1.044
Step-by-step explanation:
Find the volume of the following cylinder. Use π=3.14
V=
Step-by-step explanation:
Height of cylinder = 15cm
Radius of cylinder = 8cm
Volume = πr²h
= 3.14×8×8×15
=3.14×960
=3014.4 cm²
HELP!!!! *30 PONITS*
Translate this to a formula.
five more than the product of a number and 9 equals 4
Answer:
-1/ 9 i think?
sooo my original answer was this, but i thought of the "five more" wrong
its actually different
check the person below please ignore my answer!
Step-by-step explanation:
5 + 9x = 4 i think
then to solve you subtract 5 on both sides
9x = -1
x = -1/9
Answer:
5 > x+9= 4
OR
5(x + 9) = 4
Step-by-step explanation:
I did the first one for if you are doing inequalities
The second one is if it is a normal equation, in which would be that answer.
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A pyramid and a prism share the same base. The prism has 99 edges. How many faces does the pyramid have
A pyramid is a three-dimensional object have one common point at the top. The pyramid will have 34 faces.
A pyramid's base form determines how many faces it has. Since the bases of the prism and the pyramid in this problem are identical, we may utilise the knowledge of the prism to ascertain the number of faces on the pyramid.
Three faces of a prism meet at each vertex. Since there are 99 edges on the prism in this instance, we can divide that number by 3 to get how many vertices there are.
99 ÷ 3 = 33
The pyramid has the same number of edges as the prism since its base is identical to that of the latter. The pyramid does, however, have a second face, which is the base itself.
Therefore, the pyramid has 33 + 1 = 34 faces.
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Help plssssssssss? What’s the answerrrr
Answer:
621200 mg
1.36664 Lb
Step-by-step explanation:
Given;
Cullinan diamond weighed 3106 carats.
1 Carat - 0.2 grams
Question to Answer;
How much does the diamond weigh in milligrams/pounds?
Solve;
Since 1 carat = 0.2 grams
1g = 1000 mg
1g = 0.0022 lb
Thus,
3106 ct = 0.2 * 3106g = 6212g
621.2g = 621.2 * 1000 mg = 621200 mg
621.2g = 621.2 * 0.0022 lb = 1.36664 lb
[RevyBreeze]
please help me!!!!!!!!!!!!!!
Answer:
D, 4x^2+x+2
Step-by-step explanation:
Substitute for f(x) and g(x)
2(x^2+3)+1/3*(6x^2+3x-12)
2x^2+6+2x^2+x-4
Therefore, 4x^2+x+2
Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00. How many ornaments does she have to sell to earn a $40 profit?
Answer:
20 Ornaments
Step-by-step explanation:
20 + 40 = 70
6.00 - 2.50 = 3.50
70 ÷ 3.50= 20
Evaluate this!!
(Step by step-Explanation needed)
Answer:
this is the step thank you
Simplify the expression. -2x + -5 + 8x + -4
Answer:
6x - 9Step-by-step explanation:
Simplify by combining the like terms in steps
-2x + -5 + 8x + -4 =(8x - 2x) - (5 + 4) = 6x - 9Let's see
-2x+(-5)+8x+(-4)-2x-5+8x-4-2x+8x-5-46x-9help with mh geometry please
show more details
Step-by-step explanation:
I have a d in her class pleaz help
Answer:
x = 180-(30+50)
=100°
Y = 30+50
=80°
...............................................
Look at the picture below. On the left is a rectangular prism. It is unfolded on the right. What is the term to describe a 3D object that has been “unfolded”?
A. A net
B. A drawing
C. A shell
D. A picture
Answer:
A. a net
Step-by-step explanation:
I did the test
slope intercept form: y= -10/7x - 8/7
what is the standard form?
Answer:
10x+7y = -8
Step-by-step explanation:
Standard form is Ax + By + C = 0 or Ax + By = C.
The first step is everything is multipled by 7, witch gives you 7y=-10x-8.
To solve that, 10x to both sides must be added, to get 10x+7y-8
Explanation:
First we multiply everything by 7 to clear out the denominators.
We get to 7y = -10x - 8
Then add 10x to both sides to arrive at 10x+7y = -8
Standard form is Ax+By = C where A,B,C are integers
In this case we have: A = 10, B = 7, C = -8
Some math textbooks insist that A > 0.
Can you help me solve for y ?? Please show your work !! Thank you.
Answer:
y = -3x - 4
Step-by-step explanation:
x - y - 2 = 4x + 2
x - y - 2 + y = 4x + 2 + y
x - 2 = 4x + 2 + y
x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2
-3x - 4 = y
so y = -3x - 4
Answer:
y = -3x -4
Step-by-step explanation:
Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.
__
It can help to simplify the equation first:
x -(y +2) = 2(2x +1)
x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property
To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.
-y = (4x +2) -(x -2)
-y = 3x +4
To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.
(-y)(-1) = (-1)(3x +4)
y = -3x -4
__
Additional comment
Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.
Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.
Answer:
c ≈ 26.39 yd
Step-by-step explanation:
The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.
-> Since they give us the radius, I will use the more-known equation of 2πr
[Given]
c = 2πr
[Plug-in the value of r]
c = 2π(4.2 yd)
[Simplify]
c = 8.4yd * π
[Multiply]
c ≈ 26.39 yd
A large bag contains
14 pounds of pretzels. A small bag contains 30% of the pretzels that
the large bag contains.
How many pounds of pretzels does the small bag contain? Write your answer as a fraction.
Large bag contains 14
30% of 14 is 3 / 10 times 14 which is 42 / 10 = 21 / 5 pounds of pretzels, in improper form, 4 and 1 / 5th of a pound or 4.2 pounds
A tub contains red, green and blue counters. There are 20 more red counters than blue counters and one-third of the counters are green. If there are 60 green counters what is the probability of picking a red counter?
Answer:
7/18
Step-by-step explanation:
If 1/3 of the counters are green that means that 60 counters are 1/3 of the total number of counters. We can multiply 60 by 3 to find the total number (3/3) of counters: 60 × 3 = 180
Next, we can find out how many counters are blue and green by subtracting 60 from 180: 180 - 60 = 120
If there are 20 more red counters than blue counters, we can write this algebraically as x + (x + 20) = 120. x + 20 is the number of red counters and x is the number of blue counters
To find x, simplify the equation:
2x + 20 = 120
2x = 100
x = 50
There are fifty blue counters, therefore there are 70 red counters. The probability of picking a red counter is 70/180 or 7/18.
Hope this helps!
What is the slope of the line that passes through the points (-7, -8) and (-5, -6) ? Write your answer in the simplest form.
Answer:
[tex]m=1[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-7, -8) = (x1, y1)
Point B = (-5, -6) = (x2, y2)
To find the answer we are going to have to use the formula for slope or rise over run.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--8}{-5--7} =\frac{2}{2}[/tex]
[tex]\frac{2}{2} =1[/tex]
[tex]m=1[/tex]
Which means the slope of the line that passes through the points (-7, -8), (-5, -6) is "1."
Hope this helps.
3. A function is defined by the set of ordered pairs {(2,4),(6,2).(3,1)(7,5)}. Which of the
following values is not in the domain of the function?
(1) 7
(3) 3
(2) 6
(4) 4
A student took a test with 32 prob- lems. If he got of the problems cor- rect, how many problems did he get correct?
Answer:
He got all 32 correct
Step-by-step explanation:
I got this because it doesn't say about how many he got wrong so it would be 32
Answer:
Likely 32.
He most likely got 32 right if the number is not specified.
Please let me know if you need anything else!
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
Answer:
Each student ticket costs $8.33
Each adult ticket costs $15.34
Step-by-step explanation:
At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?
s = cost of each student ticket
a = cost of adult ticket
Our system of equations:
4s + 2a = 64
3s + 3a = 71
-3(4s + 2a = 64) ==> -12s - 6a = -192
2(3s + 3a = 71) ==> 6s + 6a = 142
-12s - 6a = -192
6s + 6a = 142
-6s = -50
/-6 /-6
s = $8.33 (the cost of each student ticket)
Now, let's find the cost of each adult ticket:
4s + 2a = 64
4(8.33) + 2a = 64
33.32 + 2a = 64
-33.32 -33.32
2a = 30.68
/2 /2
a = 15.34 (the cost of each adult ticket)
(x, y) ==> (8.33, 15.34)
Check your answer:
4s + 2a = 64
4(8.33) + 2(15.34) = 64
33.32 + 30.68 = 64
64 = 64
This statement is true
Hope this helps!
exprees in standard form:0.0000042.
Anotha one, irrelevant answers will be deleted! Thank you so much!!
Answer:
k = 2; y = 2·x·zx = 10; k = 2y = 192; y = 4·x·zz = 2; k = 3x = 48/9; k = 3/4Step-by-step explanation:
When we say "y varies jointly as x and z", we mean that y is proportional to x with some constant of proportionality, and also y is proportional to z with some constant of proportionality. The joint variation means that each "constant" of proportionality will depend on the other variable:
y = k·x·z
This can be solved for the different variables:
k = y/(x·z)
x = y/(k·z)
z = y/(k·x)
__
a)k = y/(x·z) = 30/(3·5) = 2; the equation is y = 2·x·z
b)k = 2 (read from the equation); x = y/(k·z) = 80/(2·4) = 10
c)y = k·x·z = 4·6·8 = 192; the equation is y = 4·x·z
d)k = 3 (read from the equation); z = y/(k·x) = 60/(3·10) = 2
e)k = 3/4 (read from the equation); x = y/(k·z) = 48/(3/4·12) = 48/9
Which number equals (34)−2?
9169 over 16, , ,
−916 negative 9 over 16, , ,
16916 ninths, , ,
−169
Answer:
916 negative 9 over 16, , ,
This figure represents a design being added to a quilt square. Malcolm wants to add this design in a striped fabric to 12 quilt squares.
What is the area of the quilt that will be striped fabric?
35 cm²
45 cm²
420 cm²
540 cm²
Step-by-step explanation:
here is the answer. I just took th test
The area of the quilt that will be striped fabric is,
⇒ 420 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
This figure represents a design being added to a quilt square.
And, Malcolm wants to add this design in a striped fabric to 12 quilt squares.
Now, The figure contain a triangle and a square shape.
Hence, We get;
Area of triangle = 1/2 (Base x Height)
= 1/2 (5 x 4)
And, Area of square = side²
= 5²
Hence, Total area of figure is,
⇒ 5 × 5 + 1/2 (5 × 4)
⇒ 25 + 10
⇒ 35 square units
Hence, The area of the quilt that will be striped fabric is,
⇒ 35 × 12
⇒ 420 cm²
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Complete question is shown in figure.
What is 18x + 6 equivalent expression
Answer:
A
Step-by-step explanation:
-3×6x=-18x -3×-2=6 -18x+6