Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given values:
[tex]The \ population\ mean(\bar{x})=50\\\\The \ sample \ mean, \mu =49\\\\standard \ deviation, \sigma =2.3\\\\ (n)=25\\\\null, H_o :\ \mu=50\\\\alternate, H_1 :\ \mu<50\\\\ testing \ the \ statistic (t) = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt(n)}}\\\\to = \frac{49-50}{\frac{2.3}{\sqrt{25}}}\\\\to =-2.1739\\\\| to | =2.1739\\\\p-value\ :left \ tail - H_a : (p < -2.1739 )=0.0199\\\\null, H_o: \ \mu=50\\\\alternate, H_1: \ \mu<50\\\\test \ statistic: \ -2.1739\\\\p-value: 0.0199 \sim 0.02\\\\[/tex]
Therefore, the 0.02 p-value is sufficient proof to reject the claim form of the manufacturer.
At an airport, 79% of recent flights have arrived on time. A sample of 7flights is studied. a.Compute the mean of this probability distribution. Round to two decimal places, if needed.b.Compute the standard deviation of this probability distribution. Round to two decimal places, if needed.c.Find the probability that exactly4of the flights were on time. Round to three decimal places.d.Find the probability that lessthan 4of the flights were on time. Round to three decimal places.e.Find the probability that more than 5of the flights were on time. Round to three decimal places. f.Find the probability that at least5of the flights were on time. Round to three decimal places.g.Find the probability that no more than 5of the flights were on time. Round to three decimal places
Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
help pleasee
look in the photo
Answer: c
Step-by-step explanation:
Because group B has Pharrell lines
Please help me on this question! And explain how you got your answer please!
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
Which expression will determine the perimeter, in inches, of the rectangle? O 10 x 7 10 + 7 O (2 x 7) + (2 x 10) O 10 x 7 x 7 x 10
Answer:
[tex](2 * 7) + (2 * 10)[/tex]
Step-by-step explanation:
The missing details in the question are:
[tex]Length = 10[/tex]
[tex]Width = 7[/tex]
Required
The perimeter
This is calculated as:
[tex]Perimeter = 2 * (Length + Width)[/tex]
So, we have:
[tex]Perimeter = 2 * (10 + 7)[/tex]
Open bracket
[tex]Perimeter = 2 * 10 + 2 * 7[/tex]
Rewrite as:
[tex]Perimeter = (2 * 7) + (2 * 10)[/tex]
Answer:
c
Step-by-step explanation:
three of the exterior angles of an n sided polygon are 15°, 25° , 70° and the remaning exterior angles are 50°each. find the value of n
Answer:
8
Step-by-step explanation:
15+25+70+50x = 360 ( total exterior angles = 360° )
50x = 360-15-25-70
= 250
x= 5
n = 5 + 3
= 8
Tom went to a car show over the weekend. he saw 5 blue cars, 2 white trucks, and 10 black cars. what is the ratio of black cars to all motor vehicles.
please help please please please please please.
Answer:41
Step-by-step explanation:the week end is three days and he saw 5 blue car and 2 white car and 10 black car multiple 5 times 3 and = 15 now multiple 2 times 3 = 6 then add 15 and 6 and 10
Answer:
I think it is 10:17 the ratio
Geometry help!! I don’t know how to do this
9514 1404 393
Answer:
659.52 cm^2
Step-by-step explanation:
In order to find the surface area of this figure, we need to know the dimensions of the base. If we assume the base is square, then the distance from its center to the center of one edge is half the dimension of one side of the base.
That center-to-edge distance (x) can be found from the given dimensions using the Pythagorean theorem.
x^2 + (15.4 cm)^2 = (17 cm)^2
x^2 = (289 -237.16) cm^2 = 51.84 cm^2
x = √51.84 cm = 7.2 cm
This means the edge length of the prism base is 2×7.2 cm = 14.4 cm.
__
The total surface area of the square prism is ...
A = b^2 +2bs . . . where b is the edge length of the base, s is the slant height
A = (14.4 cm)^2 + 2(14.4 cm)(17 cm) = 659.52 cm^2
The total surface area of this square pyramid is 659.52 cm^2.
What is the sum of 7 of the interior angles of a regular decagon?
Answer:
The answer is 1008 degrees
Step-by-step explanation:
The sum of 7 of the interior angles of a regular decagon is 1008°.
What is interior angle of polygon?It is an angle inside a shape. All the interior angles in a regular polygon are equal.Formula to find the sum of interior angles of a polygon:S = (n - 2) × 180°, where n is the number of sides of the regular polygon.
What is decagon?"It is a polygon having ten sides, ten interior angles and ten vertices."
For given example,
We need to find the sum of 7 of the interior angles of a regular decagon.
Number of sides of decagon (n) = 10
Using the formula of sum of interior angles,
⇒ S = (n - 2) × 180°
⇒ S = (10 - 2) × 180°
⇒ S = 1440°
This means the sum of all interior angles of a regular decagon is 1440°.
We know, there are 10 interior angles of regular decagon.
Let 'x' represents the measure of each interior angle of a regular decagon.
⇒ 10x = 1440°
⇒ x = 1440/10
⇒ x = 144°
This means, the interior angle of a regular decagon measures 144°
So, the sum of 7 of the interior angles would be,
7 × 144° = 1008°
Therefore, the sum of 7 of the interior angles of a regular decagon is 1008°.
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Find the circumference of the circle and round to the nearest tenth
Step-by-step explanation:
Circumference of Circle =
[tex]2\pi \: r[/tex]
given d = 19.4mi
r = 1/2d
= 1/2 x 19.4
= 9.7mi
Circumference of Circle =
[tex]2\pi(9.7) \\ = 19.4\pi \\ = 60.9mi \: (nearest \: tenth)[/tex]
Question 5
This dot plot shows the number of cakes sold each day in Aunt
Alice's Cake Shop last month.
What is the median number of cakes sold each day?
Aunt Alice's Cake Shop
:
1
2
3
4
5
6
7
Cakes Sold (each day)
Answer:
2
Step-by-step explanation:
Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.
0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9
There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.
The median is 2
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What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Due today! Why did the "Martian" need a special suit to visit Earth?
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
NEED HELP FAST‼️ WILL MARK B‼️‼️‼️
Triangle ABC has the following coordinates. A(6,-6), B(3,-3) and C(6,-3). What are the
coordinates of triangle A'B'C' if it is dilated with a scale factor of 4 with the origin as the center of
dilation?
Answer:
4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×
6=24,4×-3=-12
For a $150.000 mortgage with an interest rate of 5.5% paid over 20 years, the monthly payment is $1,031.83. After one
month, what is the balance of the loan?
Round your answer to the nearest dollar
Do NOT round until you calculate the final answer.
Answer: 149656
Step-by-step explanation:
The balance of the loan is $148,968
Using this formula
Loan balance=Mortgage amount-Monthly payment
Where:
Mortgage amount=$150.000
Monthly payment=$1,031.83
Let plug in the formula
Loan balance=$150.000-$1,031.83
Loan balance=$148,968
Inconclusion The balance of the loan is $148,968
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Emilio represents the perimeter of the triangle with the equation
(5w - 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle.
Which equation is correctly solved for w?
Answer:
A
Step-by-step explanation:
1) multiply 2 for 5w and 15
5w -13 + 2w + 6 + 10w + 30 = P
2) sum the therms with w and the term without it
17w + 23= P
3) add -23 at the two terms
17w + 23 - 23= P - 23
17w = P - 23
4) divide the two terms by 17
w = (P-23)/17
213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
17% off a $35 dresser
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
13. Find the measure of angle ABC. B 8x 6x 6x A С
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
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The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he spent $7.00 on popcorn and drinks. When he went home, he had $71.00 left. How much did Jaime earn mowing the neighbor's lawn?
A. $13
B. $64
C. $78
D. $104
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
Which system of equations has infinitely many solutions?
Answer:
Step-by-step explanation:
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You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left
Answer:
15 - 2x = 3
Step-by-step explanation:
Let x be the amount of days that have passed.
15 - 2x gives the amount at any day number x.
15 - 2x = 3 represents the day when you had 3 bottles left.
You have been commissioned to design a monument to Mr. Mullen. The monument consists of a pool 100 ft long where observers stand on one side of the pool and a giant statue of Mr. Mullen holding a cat stands on the other. If you want the angle of elevation from the ground to be 42 degrees, how tall must you make the statue?
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
9514 1404 393
Answer:
b. 90 ft
Step-by-step explanation:
The opposite and adjacent sides of the relevant triangle are given.
Tan = Opposite/Adjacent
tan(42°) = h/(100 ft)
h = (100 ft)tan(42°) ≈ 90.04 ft
The statue must be about 90 ft tall.
Answer:
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
its b.90 ft.
Determine the lateral and surface area of each triangular prism
Answer:
Step-by-step explanation:
lateral surface area=(sum of sides)×height
Total surface area =2×base area +lateral area
What is 1/4 divided by 2?
Step-by-step explanation:
1/4 ÷ 2 = 1/8 in fraction form.
Answer:
Mixture Temperature (°C)
Mixture 1
3
Mixture 2
-4
Mixture 3
-1
Mixture 4
2.
In science class, Emma is measuring the temperature of different chemical mixtures. The temperatures of four
mixtures are shown in the table. Which mixture's temperature is closest to zero?
Answer:
c
Step-by-step explanation:
sheeesh 3 easy
Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this constant speed.how far will they have travelled in 1 hour 48 minutes
Answer:
180km
Step-by-step explanation:
1hour48mins =108mins
108÷18=6
6×30=180km
A laundry basket contains 9 socks, of which 3 are blue.
What is the probability that a randomly selected sock will be blue?
Write your answer as a fraction or whole number.
P(Blue) = ?
Answer:
3
Step-by-step explanation:
Gordon is trying to save up $2000 for a new saxophone he makes 12.50 per hour at his job at the coffee shop but he needs to set aside half of his hourly wage to pay his regular bills How many 40-hour weeks will he need to work before he can afford the saxophone?
A. 320 Weeks
B. 40 Weeks
C. 8 Weeks
D. 6.25 Weeks
Answer:
he will need to work 8 40-hour weeks.
Explanation:
since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.
we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.
now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.
he will need to work 8 40-hour weeks before he can afford the saxophone.
i hope this helps! :D