Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
We need to obtain the sample mean and sample standard deviation :
Sample mean, xbar = Σx/n
Where n = sample size (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s
Using the formula :
s = √Σ((x - xbar)² / n-1)
s = 1.40
Hypothesis :
H0 : μ = 2.4
H1 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11 ; two tailed
Pvalue(1.071, 11)
= 0.3069
= 0.307
1. A student enlarged this rectangle to fill as
much as possible of an 8.5 cm x 11 cm
piece of paper. What scale was used?
6.3 cm
4.7 cm
A 1.75
B 1 : 2.34
C 1 4.43
D 1 : 5.94
Graph the equation y=-4/3x + 2
Answer:
plz if you knew if you new it plz tell me
6 boba drinks for $8.40 or 9 boba drinks for $9.95
Which one is a better deal?
Answer:
9 for $9.95
Step-by-step explanation:
A high speed train travels at a speed of 300km/h. if the train sets off from a station A at 13 44 and reaches station B at 15 12. Find the distance between two stations, giving your answer in km
Answer:
See below.
Step-by-step explanation:
The train leaves station A at 13:44 and arrives at station B at 15:12.
Which means the train took 1 hour and 28 minutes to arrive at station B.
The train travels at 300 km/h. It took at least one hour, so the answer > 300 km.
Now, the remaining 28 minutes. We divide them by 60, as there’s 60 minutes in one hour and multiply by 300, as that’s how fast the train travels per hour.
28/60*300 = 140.
300 + 140 = 440.
The distance between the stations is 440 km.
The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
School A School B School C School D
Greater than 1.5 but less than 2.0 22 15 82 19
Greater than 2.0 but less than 2.5 39 43 46 57
Greater than 2.5 but less than 3.0 67 98 26
81
Greater than 3.0 but less than 3.5 41 45 59 50
Greater than 3.5 but less than 4.0 27 12 78 17
A. School B
O
B. School C
C. School D
Ο Ο
D. School A
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
school c so B would be correct
which of these is incorrect
Answer:
b
Step-by-step explanation:
< less than
> greater than
= equal to
1,372 is less than 3,496 true
1,372 is greater than 3,496 false
2,583 is less than 4,194 true
3,496 is greater than 1,372 true
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
tan
Step-by-step explanation:
take 19 degree as reference angle
using tan rule
tan 19=opposite/adjacent
0.34=14/x
x=14/0.34
x=41.17
x=41.2
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
In survey of 300 randomly selected adults at Target, 62% stated that Tide was their favorite laundry detergent. Based on this survey, predict the number of bottles of Tide the store will sell if they have 800 bottles on the shelf for sale.
Answer:
they would sell 496 bottles
Step-by-step explanation:
if %1 of 800 is 8, then pultiply that by 62, since 62% said they liked tide
Given the vector \mathbf{u}u equal to 3\left<\cos 255^{\circ},\,\sin 255^{\circ}\right>3⟨cos255
∘
,sin255
∘
⟩ and vector \mathbf{v}v equal to 2\left<\cos 215^{\circ},\,\sin 215^{\circ}\right>,2⟨cos215
∘
,sin215
∘
⟩, find the sum \mathbf{u}+\mathbf{v}u+v and write your answer in magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree, 0^{\circ}\le \theta < 360^{\circ}.0
∘
≤θ<360
Answer:
Is this the full question?
The sum of vector is (-2.4148, -4.0499), magnitude is 4.7 and [tex]\theta[/tex] = 239 degree.
What is Vector?A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
Given:
Vector u = 3( cos 255, sin 255)
v = 2 (sin 215, cos 215)
So, u+ v
= (3 cos 255 + 2 cos 215, 3 sin 255 + 2 sin 215)
= (-2.4148, -4.0499)
and, Magnitude
| u +v | = √(-2.4148)² + (-4.0499)²
= 4.7
Then, tan [tex]\theta[/tex] = 4.0499/ 2.4148
So, [tex]\theta[/tex] = 239 degree
Learn more about Vector here:
https://brainly.com/question/29740341
#SPJ1
Please help, just want to make sure my answers are right
Answer:
21 times each person can be chossen for each postion once
Step-by-step explanation:
f : x → ½x - 3, what is the value of 'x' when f(x) = 11?
Answer:
x=28
Step-by-step explanation:
1/2x - 3 = 11
Add 3 on both sides
1/2x = 14
Multiply 2 on both sides x=28
Answer:
For example, if f (x) and g (x) are inverses of each other, then we can ... Consider another case where a function f is given by f = {(7, 3), (8, –5), (–2, 11), (–6, 4)}. This function is one-to-one because none of its y - values appear more than once.
Step-by-step explanation:
What is the solution to this inequality?
Answer:
x>-4
:)
Step-by-step explanation:
Answer:
C. x > -4
Step-by-step explanation:
2x - 8 < 5x + 4
=> -3x < 12
=> x > -4 (have to change the inequality sign because it's divided by a negative number, -3)
[tex]8 {}^{x + 2} = 4 {}^{2x + 3} [/tex]
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
9514 1404 393
Answer:
3. C(−1, −5), D(2, −5)
Step-by-step explanation:
The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...
D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)
C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)
The two points required to make a rectangle with an area of 18 square units are ...
C(-1, -5), D(2, -5)
_____
The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.
BEEN STUCK FOR A WHILE PLEASE HELP!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
what is the volume of a cone with a diameter of 12 m and a height of 8 ,
Answer:
Half of 12 is 6(new radius)
6^2 = 36
36 x 3.14 = 113.04
113.04 x 8 = 904.32
904.32 divided by 3 ( x 1/3) = 301.44 m is your answer.
Show the work please.
9514 1404 393
Answer:
3x = ln(y+4)
Step-by-step explanation:
Taking the natural log of both sides, you have ...
3x = ln(y +4)
__
The applicable rule of logarithms is ...
ln(e^a) = a
The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
NEED HELP DUE IN 6 MINUTES!!!!
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula
[tex]a=\frac{bh}{2}[/tex]
where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]
The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120
find the requivalent ratios of the following 7:12
Answer:
Step-by-step explanation:
So in the example you gave, a ratio of 7:12 means that for every 7 of the first item, there are 12 of the second. The order becomes very important, as changing the ratio to 12:7 would mean that for every 12 of the first item, there are 7 of the second, which is not the same thing at all
7:12
14:24
21:36
28:48
keep smiling always
Let me show you an exam
Michael works and gets paid $8.50 per hour. Show
equation is proportional and write an equation that describes this relationship
Answer:
[tex]y = 8,50x[/tex]
Step-by-step explanation:
Given
Let
[tex]y\to[/tex]earnings
[tex]x \to[/tex] hours
Solving (a): The proportion
x and y can be expressed as:
[tex]y\ \alpha\ x[/tex] --- direct variation
Write as an equation
[tex]y = kx[/tex]
Where
[tex]k = 8.50[/tex] --- the hourly rate
So, we have:
[tex]y = 8,50x[/tex]
pls help math brainers
Answer:
m
Step-by-step explanation:
b
What is the inverse operation of add 3? A. subtract 3 B. add 3 C. divide by 3 D. multiply by 3
Answer:
Subtrac 3
Step-by-step explanation:
Given
Add 3
Required
The inverse operation
In algebra, the inverse of add is subtract;
Hence, the inverse of add 3 is subtract 3
The length of a rectangle is 5 centimeters less than 3 times its width. The perimeter of the rectangle is 6 times the rectangle's width. What is the width of the rectangle in centimeters?
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
Which of the following sets of ordered pairs is a function?
a) {(2,3) (3,4) (3,5) (5,6) }
b) {(1,5) (2,6) (3,7) (4,8) }
c) {(3,4) (5,7) (5,8) (7,9) }
Answer:
(1,5) (2,6) (3,7) (4,8)
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51. Assume monthly gasoline bill amounts are normally distributed. The probability that his bill will be less than $50 a month or more than $150 for a single month is:
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]
Less than 50:
p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 125.32}{49.51}[/tex]
[tex]Z = -1.52[/tex]
[tex]Z = -1.52[/tex] has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 125.32}{49.51}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
The base of the pyramid is an equilateral triangle. Find the volume of the pyramid. Round your answer to the nearest tenth.
10 in.
4 in.
Can someone help me pls ASAP!!❤️
Answer:
66 2/3 cubic inches
Step-by-step explanation:
V=1/3Bh where 'B' is the area of the base and 'h' is height
V = 1/3(20)(10)
V = 200/3 or 66 2/3 cubic inches
Factor the following expression.
10.25 + 513 – 14.12 – 7
A. (5.33-7)(2x2 + 1)
B. (5.04 + 7)(2.5 - 1)
C. (5.3 + 7)(2x2 - 1)
D. (5x4 - 7)(2x + 1)
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
What is the magnitude of -3 +4i?
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation: