Answer:
Step-by-step explanation:
mean = sum of data / no of data
=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8
=36/8
4.5
to calculate the given data must be arranged in ascending to descending order . So , the data are
2 , 3 , 3 , 3 , 5 , 6 , 7 , 10
Median = N + 1/2 (N means no of data)
=8 + 1/2
=9/2
=4.5
=(4 + 5) th term / 2
=3 + 5/2
=8/2
=4
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.
Carpeted Un-Carpeted
15.9 8.1 15 7.2 10.4 6.1
11.2 16 11.2 6.8 11.3 6.8
8.6 10 12.1 6.3
Requried:
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
Answer:
The null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
Step-by-step explanation:
In the question, the given assertion is that carpeted rooms have more bacteria than uncarpeted rooms, i.e. μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
The assertion made in the question can either be the null hypothesis (H[tex]_{0}[/tex]) or the alternate hypothesis (H[tex]_{1}[/tex]). An equality must be present in the null hypothesis. The alternative hypothesis expresses the exact opposite of the null hypothesis if the claim is the null hypothesis.
Therefore, the null (H[tex]_{0}[/tex]) and alternative (H[tex]_{1}[/tex]) hypotheses can be stated as follows:
H[tex]_{0}[/tex]: μ[tex]_{1}[/tex] = μ[tex]_{2}[/tex].
H[tex]_{1}[/tex]: μ[tex]_{1}[/tex] > μ[tex]_{2}[/tex].
Is 11/15 repeating? If not, how many places does it take to terminate?
Answer:
repeating due to the denominator
Step-by-step explanation:
11/15 = (11/5)×(1/3)
11/5 terminates after 1 place.
but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.
john had a bag of 10 marbles (2 Green, 4 Blue, 1 Yellow, 2 Red) What is the probability that john selects a green marble, replaced it, and then selects a green marble?
Answer:
2/9
Step-by-step explanation:
the question didnt say replaced it with another colour
please help me please help me please help me please help me please help me please help me please
Answer:
2025 is not a perfect cube
Solve the following system of equations graphically on the set of axes below.
y= x+2
y= -1/2x+8
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4,6)
»»————- ★ ————-««
Here’s why:
I have graphed the two equations in a program. The point of intersection would be the solution to the system.When graphed, the lines intersect at point (4, 6). (4,6) is the solution.⸻⸻⸻⸻
See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
-3x2 + 5x- 7 = 0 is not in general form.
True
False
The answer is true because it is not a general form
which figure shows the radius of circle O?
Answer:
D
Step-by-step explanation:
The radius of a circle refers to a segment connecting the center of the circle to the circumference of the circle. This can be seen in selection D), as a segment connects the center of the circle (O) to the circumference or outer edge of the circle.
The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?
Answer:
if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3
now for the other set of chairs we can divide 570 by 22 which is
25.9090909091 or 25.9
and for the rest it doesn't make any sense to me sorry
A scientist is conducting an experiment on two types of bacteria to determine which type will grow faster in a pool. After collecting data for two weeks, she finds that she can model the growth rates as follows:
Bacteria 1: y = 4x
Bacteria 2: y = 4x2
In these models, y represents the number of bacteria colonies and x represents the number of hours.
Based on these models, which type of bacteria is growing faster?
Answer:
bacteria 1
Step-by-step explanation:
i got it right
Which values are NOT in the domain of the function?
f(x)
x +4
x2 – 25
O
A) x = -4,4
B) 2 = -5,4
C) x = -4,5
OD) X = -5,5
Given:
The function is:
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
To find:
The values that are NOT in the domain of the given function.
Solution:
We have,
[tex]f(x)=\dfrac{x+4}{x^2-25}[/tex]
This function is a rational function and it is defined for all real values of x except the values for which the denominator is equal to 0.
Equate the denominator and 0.
[tex]x^2-25=0[/tex]
[tex]x^2=25[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{25}[/tex]
[tex]x=\pm 5[/tex]
So, the values [tex]x=-5,5[/tex] are not in the domain of the given function.
Therefore, the correct option is D.
Daryl invested $2,200 for 3 years. He received interest of $264. What was the interest rate?
Answer:
4%
Step-by-step explanation:
264 interest/3 years=88 interest/year
principal x interest rate =interest/year
2200 x interest rate =88
interest rate =88/2200
interest rate =.04 or 4%
What is the answer to number question
Answer:
1.5
Step-by-step explanation:
5*.3
Which function is shown in the graph below?
Answer:y=log1x
Step-by-step explanation:
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
Answer:
85⁰ and 95⁰
Step-by-step explanation:
Supplementary angle add up to 180⁰
8x-3+7x+18=180
8x+7x-3+18=180
15x+15=180
15x=180-15
15x=165
15x/15=165/15
x=165/15
x=11⁰
measure of first angle=8(11⁰)-3
=88⁰-3
=85⁰
measure of second angle=7(11⁰)+18
=77⁰+18
=95⁰
I need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
Arithmetic or geometric 18,13,8
Answer:
That is Arithmetic
Step-by-step explanation:
Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.
Hope this helps
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?
Answer:
Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours
Step-by-step explanation:
We are given;
Sample mean for male employees; x1¯ = 63
Sample mean for female employees; x2¯ = 66
Sample size = 50
Standard deviation; σ = 10
First,let's define the hypotheses of the question;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 ≠ μ2
Now, let's find the test statistic from the formula;
z = (x1¯ - x2¯)/(σ√(2/n))
Thus;
z = (63 - 66)/(10√(2/50))
z = -3/2 = - 1.5
Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.
Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;
p-value = 0.13364
The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation
2
Question 10 Multiple Choice Worth 5 points)
(06 02 MC)
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
1
5x + 2y = 2
3x - 3y = 18
The slopes are the same, and the y.Intercepts are the same
The slopes are the same, and the y-intercepts are different
The slopes are different, and the y-intercepts are the same
Previous Question
Question 1 (Answered)
ON
Type here to search
O
BE
C
84'F Rain coming
AG
Answer:
the slopes are different, and the y-intercepts are also different
Step-by-step explanation:
We can rewrite the equations given in slope-intercept to easily determine the slope (m) and the y-intercept (b). Slope-intercept equation is y = mx + b
Let's rewrite each equation:
✔️5x + 2y = 2
Subtract 5x from each side
2y = -5x + 2
Divide both sides by 2
y = -5x/2 + 2/2
y = -⁵/2(x) + 1
The slope (m) = -⁵/2
y-intercept (b) = 1
✔️3x - 3y = 18
Subtract 3x from each side
-3y = -3x + 18
Divide both sides by -3
y = -3x/-3 + 18/-3
y = x - 6
Slope (m) = 1
y-intercept (b) = -6
✅Therefore, the slopes are different and the y-intercepts are also different
please help me look at the photo!
Help with number 16 please
Answer:
the answer is c. 300
Step-by-step explanation:
18+32×12÷2
base 1 + base 2 × height ÷ 2
Find the area of the following circle.
plz I need this fast!
------11m------
379.94 m 2
34.54 m 2
94.985 m 2
17.27 m 2
Answer:
[tex]A=379.94\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of a circl is 11 m
We need to find the area of the circle. The forcemula for the area of a crcle is given by :
[tex]A=\pi r^2[/tex]
Put all the values,
[tex]A=3.14\cdot11^{2}\\A= 379.94\ m^2[/tex]
So, the area of the circle is equal to [tex]379.94\ m^2[/tex].
Answer:94.985 m 2
Step-by-step explanation:
what is a bank statement
Answer:
A statement that shows current balance of an account and all transactions that occurred on that account since the last statement.
Transactions such as deposits, withdrawals, checks written, debt card uses...
There are other examples of bank statements for things like home loans, business loans, and investments.
find the area of irregular figures
Answer:
I believe it is 90
Step-by-step explanation:
I'm not so sure but when finding the area of a shape you times all those lengths together.
Answer: There is NO answer because there is some missing information!
Step-by-step explanation:
A student's course grade is based on one midterm that counts as 20% of his final grade, one class project that counts as 10% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 20% of his final grade. His midterm score is 63, his project score is 89, his homework score is 92, and his final exam score is 77. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on
Answer:
85 i guess
Step-by-step explanation:
12 Kendrick wants to build a slide for his son in the backyard. He buys a
slide that is 8 feet long. The height of the stairs is 5 feet. Find the
distance from the bottom of the stairs to the base of the slide.
sum of 15,-2 and 7 is
Answer:
20
Step-by-step explanation:
15+(-2)+7=13+7=20
[tex]\longrightarrow{\blue{20}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]\:15 + ( - 2) + 7[/tex]
➺ [tex] \: 15 - 2 + 7[/tex]
➺ [tex] \: 22 - 2[/tex]
➺ [tex] \: 20[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
This is my last one I’m happy
Answer:
105
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=210
t=3, d=315
Lets plug these in and solve:
210=r*2
Divide both sides by 2 to get r alone:
105=r
Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:
D=r*t
315=105*3
=
315=315
So 105 is our answer.
Hope this helps!
What is the measure of E, in degrees?
5
48°
F
Answer:
A) 84°
Step-by-step explanation:
Since ED=EF=5
then F=D=48°
Then E=180°-48°-48°=84°
