Answer:
The null hypothesis will not be rejected at 5% significance level.
Step-by-step explanation:
Consider a Chi-square test for goodness of fit.
The hypothesis can be defined as:
H₀: The observed frequencies are same as the expected frequencies.
Hₐ: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
The information provided is:
Observed values:
Half Pint: 36
XXX: 35
Dark Night: 9
TOTAL: 80
The expected proportions are:
Half Pint: 40%
XXX: 40%
Dark Night: 20%
Compute the expected values as follows:
E (Half Pint)
[tex]=\frac{40}{100}\times80=32[/tex]
E (XXX)
[tex]=\frac{40}{100}\times80=32[/tex]
E (Dark night)
[tex]=\frac{20}{100}\times80=16[/tex]
Compute the test statistic as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
[tex]=\frac{(36-32)^{2}}{32}+\frac{(35-32)^{2}}{32}+\frac{(9-16)^{2}}{16}\\\\=3.844[/tex]
The test statistic value is, 5.382.
The degrees of freedom of the test is:
n - 1 = 3 - 1 = 2
The significance level is, α = 0.05.
Compute the p-value of the test as follows:
p-value = 0.1463
*Use a Chi-square table.
p-value = 0.1463 > α = 0.05.
So, the null hypothesis will not be rejected at 5% significance level.
Question 1 of 15
Which of the following is a trinomial with a constant term?
A. x + 64
B. x + 4y
C. y5+ 13x +12
D. A + 3y2 + 2y
E. x
F. x(10-2) + 7
SUBMIT
Answer: C, y^5 + 13x + 12
Step-by-step explanation:
A trinomial is a polynomial that consists of three terms. y^5 is one term, 13x is the second, and 12 is the third term. Each term is separated by an operator (ie +,-,*, etc). Constant terms are terms that do not change. In this case, your constant term is 12.
Answer:
C
Step-by-step explanation: A trinomial has 3 terms and a constant term is just a number.
6. Out of 300 students in a class. 60% students study Physics, 35% students study
Chemistry and 20% students do not study both of the subjects.
1. How many students study both subjects?
ii. How many students study Physics only?
iii. How many students study Chemistry only?
iv. What is the number of students who study only one subject? Find it.
Answer:
HOPE THIS WILL BE HELPFUL FOR YOU
Which of the following is an irrational number?
Answer:
A.
Step-by-step explanation:
Big Ben is the largest clock tower in England and overlooks the Houses of Parliament and the Thames River. The minute hand of the clock measures 36 feet in length. How far does the tip of the minute hand move in 20 minutes
Answer:
75.408 ft
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = 75.408 ft
The tip of the minute hand moves 0.21 ft in 20 minutes.
Length of an arc
The minute hand sweeps an arc of length L given by
L = Ф/360° × 2πR where
Ф = angle moved by minute hand in 20 minutes = 20' × 1°/60' = 1/3° and R = length of minute hand = 36 ftDistance moved by tip of minute handSo, substituting the values of the variables into the equation, we have
L = Ф/360° × 2πR
L = 1/3°/360° × 2π × 36 ft
L = 1/(3 × 360) × 2π × 36 ft
L = 1/(3 × 10) × 2π ft
L = 1/30 × 2π ft
L = 1/15 × π ft
L = 3.1416/15 ft
L = 0.2094 ft
L ≅ 0.21 ft
So, the tip of the minute hand moves 0.21 ft in 20 minutes.
Learn more about length of an arc here:
https://brainly.com/question/8402454
Draw 3 points that are noncoplanar.
Answer:
Coplanar is when all 3 points are on the same plane
Noncoplanar is when they are not
For ex:
Coplanar->
.x, .z, and .s are all on the plane R
Noncoplanar->
.x, and .z are on plane R
.s is on plane Y
f() = 37. What are the domain and range of f-12)?
А.
D: (-) R (-0,0)
B
D: (-) R: (0,-)
CD: (-00) R (-00)
D.
D: (0.) R (-)
Answer:
c
Step-by-step explanation:
Which expressions have a value of -1/64?
Answer:
Step-by-step explanation:
Please, share any answer choices that were given to you.
-1 -1 -1
-1/64 is equivalent to -------- and ---------- and ---------
4^3 2^6 8^2
The Florida Turnpike is a 312-mile stretch of highway running from Central Florida to South Florida. Drivers who use a SunPass pay discounted toll rates. For 2-axle passenger vehicles with a SunPass, the toll at the Orlando (I-4) Mile Post is͵, and the toll at the Okeechobee Plaza exit in West Palm Beach is a. A 2-axle passenger vehicle with a SunPass drives through the Orlando (I-4) Mile Post five times. Determine the total amount of money that will be deducted from this vehicle’s SunPass account. b. Create an algebraic expression to describe the total amount of money that will be deducted from this vehicle’s SunPass account for any given number of drives through the Orlando (I-4) Mile Post. c. The same 2-axle passenger vehicle drives through the Okeechobee Plaza exit in West Palm Beach seven times. Determine the total amount of money that will be deducted from its SunPass account. d. Create an algebraic expression to describe the total amount of money that will be deducted from this vehicle’s SunPass account for any given number of drives through the Okeechobee Plaza exit. e. Write an algebraic expression to describe the combined total amount of money that will be deducted from this vehicle’s SunPass account after it passes through the Orlando (I-4) Mile Post and the Okeechobee Plaza exit any given number of times. f. What is the total amount of money that will be deducted from this vehicle’s SunPass account after it passes through the Orlando (I-4) Mile Post eight times and Okeechobee Plaza exit four times?
Answer:
2.65
Step-by-step explanation:
20 - 10y - 7y + 9
please need help
ASAP
.................,...........................................,...,................
Suppose you want to equate an expression to zero:
[tex]\[\begin{array}{l}20 - 10y - 7y + 9 = 0\\29 - 17y = 0\\17y = 29\\y = \frac{{29}}{{17}}\end{array}\][/tex]
The following random sample from a population whose values were normally distributed was collected.10 8 11 11The 95% confidence interval for μ is:a. 8.00 to 10.00b. 7.75 to 12.25c. 9.75 to 10.75d. 8.52 to 10.98
Answer:
Answer:
B
Step-by-step explanation:
First to find the sample mean
Xbar= summation x/n= 40/4= 10
The sample standard deviation is:
S= √summation(x-xbar)²/ n-1
=√6/3= 1.4142
The degrees of freedom
df= N-1= 4-1= 3
For 95% confidence level, critical value of t
t= 3.182
The 95% confidence interval is:
=Xbar plus or minus t' *8/√n
= 10 plus or minus 3.182(1.4142/√4)
= 10plus or minus 2.25
So 7.75 or 12.25
F(x) = x + 1, find f(x+3)
Answer:
Step-by-step explanation:
f(x) = x + 1, find f(x+3)
f(x+3) = x + 3 + 1 = x + 4
Answer: f(x+3)=x+4
Step-by-step explanation:
f(x)=x+1
f(x+3)=(x+3)+1 ⇔ substitute x
f(x+3)=x+3+1 ⇔ take of parentheses
f(x+3)=x+4 ⇔ simplify
Hope this helps!! :)
Please let me know if you have any question
Which of the following is an example of probability-based inference?
A. representing data with a table
B. making observations
C. deciding that a claim is true
D. calculating a range
Answer:
deciding that the claim is true
which of the following must describe an irrational number
Answer:
An Irrational number is a number that cannot be expressed as the ratio of two integers.
Example: [tex]\pi[/tex]
its numbers are infinite
Given a right triangle with legs 5cm and 12cm, find the length of the hypotenus. Show work please
Answer:
13 cm
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the hypotenuse. The Pythagorean Theorem is used to find a missing side to a right triangle.
The theorem states that [tex]a^2 + b^2 = c^2[/tex], where a and b are the legs, and c is the hypotenuse.
The legs of this triangle are already states - 5 and 12, so we can plug it's values into the formula.
[tex]5^2 + 12^2 = c^2\\\\25 + 144 = c^2\\\\169 = c^2\\\\c = \sqrt{169}\\\\c=13[/tex]
So the hypotenuse of this triangle is 13 cm.
Hope this helped!
3. Define a variable, write an equation, and solve the problem. Carla began a
running program to prepare for track team try-outs. On her first day she ran
3 miles, and on her second day she ran 5 miles. Since then, Carla has run 7 miles
each day. If her log book shows that Carla has run a total of 99 miles, for how
many days has Carla been running 7 miles?
Answer:
Carla has been running 7 miles each day for 13 days.
Step-by-step explanation:
Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.
Let the number of days she ran 7 miles each day = x
Total distance run by Carla = 3 + 5 + 7(x)
= 8 + 7x
If her log book shows that she has run total distance = 99 miles
Equation representing her total run will be,
8 + 7x = 99
7x = 99 - 8
7x = 91
x = [tex]\frac{91}{7}[/tex]
x = 13 days
Therefore, Carla has been running 7 miles each day for 13 days.
Find three consecutive numbers whose sum is 675.
Answer:
three consecutive integers that add up to 675 are 224, 225, and 226.
Step-by-step explanation:
find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g
Answer:
S infinity= -51/4
Step-by-step explanation:
First term
ar= -9
Fifth term
ar⁴= 1/3
Solving for the value of the r and a
ar= -9
ar⁴= 1/3
Dividing each other
r³=1/3 * -1/9
r³=-1/27
r= 3√-1/27
r= -1/3
Solving for a
ar= -9
a(-1/3)= 9
a= 9*-3
a= -27
Sum of a go to infinity is given by the formula
S infinity= a/(1-r)
S infinity= -27/(1-(-1/3))
S infinity= -27/(1+1/3)
S infinity= -27 * 3/4
S infinity= -51/4
Eight subtracted from seven times a number is -43. What is the number?
Answer:
8-7x=-43.
-7x= -43-8.
-7x= -51.
x= 7.285714286~7.3
Answer: The number is -5 or its value is equivalent to -5.
Step-by-step explanation:
So we are given the equation:
eight subtracted from seven times a number is -43
So we have to find what that unknown number is. We can do this by adding 8 to -43 which gives us -35. Now divide -35 by 7, and your answer is -5.
So the number is -5 or its value is equivalent to -5.
In a poll of 555 randomly selected students, 40% stated that they enjoyed statisticsa. Identify the number of students who say that they enjoy statistics? Round to the nearest whole student if necessary.b. Construct a 95% confidence interval estimate of the percentage of all students who say that they enjoy statistics.c. Can we safely conclude that majority of students enjoy statistics? Explain.
Answer:
a
[tex]N = 222[/tex]
b
[tex]0.36< p <0.44[/tex]
c
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 555[/tex]
The percentage that enjoyed statistics is [tex]\r p = 40% = 0.40[/tex]
Generally the number of student who say they enjoyed statistics is mathematically represented as
[tex]N = 0.40 * 55[/tex]
=> [tex]N = 222[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = ( 100-95)\%[/tex]
=> [tex]\alpha = 0.05[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{0.40 (1- 0.40 )}{ 555} }[/tex]
=>. [tex]E = 0.04[/tex]
The 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.40 - 0.04 < p <0.40 + 0.04[/tex]
=> [tex]0.36< p <0.44[/tex]
No we can not safely conclude that majority of students enjoy statistics because the upper limit of the confidence level is less than 50%
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for
the equation
y=-4x+ 3
O (-1,1)
O (0, 3)
O (1,-1)
O (2, 11)
HELP ASAP
Answer:
(0,3) and (1,-1)
Answer:
C on edge 2020
Step-by-step explanation:
For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.
y = -4x + 3
A-(-1, 1)
B-(0, -3)
C-(1, -1)
D-(2, 11)
PLEASE HELP IMMEDIATELY!!! (Emergency)
Isaac owes $474.43 on his credit card. He returns two items, one for $48.90 and the other for $45.38. Then he makes purchases of $38.39 and $31.03. What is the new balance on the card?
Answer:
The new balance on his card is $-449.57
Step-by-step explanation:
He starts by owing $474.43 which is -474.43
First, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43
, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15
, he returns $48.90 and $45.38 which means that we are going to add 48.9 and 45.38 to -474.43-474.43 + 48.9 + 45.38 = -380.15Now he owes the bank $380.15
Next, he purchased 2 more items for $38.39 and $31.03 which indicates -380.15 - 38.39 - 31.03.
-380.15 - 38.39 - 31.03 = -449.57
Therefore he owes the bank $449.57 now
Hope this helped ~
Your local smart crackhead
What numbers belongs with what
Answer:
1.) 10 is R, Q, Z, W, N
2.) 5/6 is R,Q,
3.) sqrt 24 is I
4.) 0 is R, Q, Z, W
5.) none, neagative sqrt are imaginary.
Will mark brainliest
Answer:
12. 5x
13. 5/x-z
Step-by-step explanation:
12. product means multiplication so multiply 5 by x= 5x
13. quotient means division and difference means subtraction. so you divide 5 by x-z= 5/x-z
Answers:
[tex]\huge \boxed{{12. \ 5x}}[/tex]
[tex]\huge \boxed{{13. \ \frac{5}{x-z} }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The product is the result after multiplying values together.
The product of 5 and x is:
[tex]5 * x[/tex]
[tex]5x[/tex]
The quotient is the result after dividing values together.
The difference is the result after subtracting values together.
The quotient of 5 and the difference of x and z is:
[tex]\displaystyle \frac{5}{x-z}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Divide (6.3 × 103) by (1.8 × 105) giving your answer in Scientific Notation.
Answer:
(6.3*10³) ÷ (1.8*10⁵)
6.3*10³ = 0.063*10⁵
then:
(6,3*10³) ÷ (1.8*10⁵) = (0.063*10⁵) ÷ (1.8*10⁵)
= 0.063/1.8
= 0.035
0.035 = 3.5 *10⁻² = 35*10⁻³
Solve x(x+9)+12=0 by using the Quadratic Formula.
Answer:
Answer: approximately -1.63 and -7.37
Step-by-step explanation:
First of all, let's expand the parenthesis by multiplying x into both of its terms.
[tex]x(x+9)+12 = 0\\x^2+9x+12=0[/tex]
We get the equation:
[tex]x^2+9x+12=0[/tex]
The quadratic formula looks like this
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
where the equation is of the form
[tex]ax^{2}+bx+c=0[/tex]
Comparing this to our equation above,
[tex]x^2+9x+12=0[/tex]
we can see that
[tex]a = 1\\b= 9\\c= 12[/tex]
Let's put these values into the quadratic formula.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-9\pm\sqrt{9^2-4*1*12}}{2*1}\\x=\frac{-9\pm\sqrt{9^2-48}}{2}\\x=\frac{-9\pm\sqrt{81-48}}{2}\\x=\frac{-9\pm\sqrt{33}}{2}\\x=\frac{-9\pm\ 5.744...}{2}\\x=\frac{-9\pm\ 5.744...}{2}\\x_{1}=\frac{-9+5.744...}{2}=\frac{-3.255...}{2}=-1.62771867\\x_{2}=\frac{-9-5.744...}{2}=\frac{-14.744...}{2}=-7.3722813\\[/tex]
Answer: approximately -1.63 and -7.37
You can also choose not to approximate the square root of 33, and you'd receive the answers:
[tex]x_{1}=\frac{-9+\sqrt{33}}{2}\\x_{2}=\frac{-9-\sqrt{33}}{2}[/tex]
The manager suggests that Darryl should purchase the deli’s bread from Store D because they sell the most loaves of bread for the best price. Is this true? Why or why not? Explain your reasoning. please i need help
Answer:
yes
Step-by-step explanation:
because it sells the best price
Answer:
No
Step-by-step explanation:
Stores D dose not have the best deal when you compare the unit prices. The best deal isn't from having more loaves. The best deal from store B because the unit price is the lowest.
Which graph represents the solution to the compound inequality? 4x + 8 < –16 or 4x + 8 ≥ 4 A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at negative 1. A number line with a point at negative 6 with a bold line pointing to the right ending at the open circle at negative 1. A number line with an open circle at negative 6 with a bold line pointing to the left. A point at negative 1 with a bold line pointing to the right. A number line with a point at negative 6 with a bold line pointing to the left. An open circle at negative 1 with a bold line pointing to the right.
Answer:
a line starting at -6 going to the left of this number, and with an open circle around the -6.
Step-by-step explanation:
To solve for this inequality, we need to isolate "x" on one side of the inequality symbol (<):
4 x + 8 < -16
subtract 8 from both sides:
4 x < -16 - 8
4 x < - 24
now divide both sides by 4 to get rid of the 4 that appears multiplying "x":
x < - 24/4
x < - 6
To graph this inequality one needs to highlight all the real numbers of the number line to the left of the value -6, making sure that one draws an open circle around the -6 because we don't want this number to be included (notice that x < -6 implies x-values strictly smaller than -6)
Then one would draw a line starting at -6 going to the left of this number, and with an open circle around the -6.
In edg:
A & B
A: StartFraction x over 2 EndFraction less than 1 or StartFraction 4 x minus 2 over 2 EndFraction greater than or equal to 13.< 1 or ≥ 13
B: 3x – 3 < 3 or 2x + 8 ≥ 22
Which one is greater? -14 or 11
Answer:
Hey there!
11 is greater than 14.
Positive numbers are greater than negative numbers.
Hope this helps :)
what is the sum -6-13
Answer:
-19
Step-by-step explanation:
Let's assume we are owing two people 6 dollars and the other person 13 dollars u have no gain
Use front-end estimation to estimate the difference.
92.1 - 18.56
80
70
60
50
Answer:
70
Step-by-step explanation:
Here, you're expected to round the numbers to the nearest 10, then do the subtraction:
92.1 -18.56 ≈ 90 -20 ≈ 70 . . . estimated answer