The null and hypothesis test; test statistic and the conclusion of the hypothesis are :
[tex] H_{0} : \mu\geq 3 ; H_{1} : \mu < 3[/tex] Test statistic = -1.7678Pvalue < 0.05Yes, since we reject H0The hypothesis :
[tex] H_{0} : \mu \geq 3 [/tex] [tex] H_{1} : \mu < 3 [/tex]The test statistic :
[tex]\frac{\bar{x} - \mu}{\frac{σ}{\sqrt{n}}}[/tex]
Substituting the values into the equation :
[tex]\frac{2.5 - 3.0}{\frac{2}{\sqrt{50}}} = -1.7678[/tex]
The Pvalue, using a Pvalue calculator ; 1 - tailed ; 10% level of significance (0.10) = 0.038
Hence, Pvalue < 0.05
3.) At 10% level of significance ;
We compare the Pvalue and the α
α = 10% = 0.10
Since, Pvalue < α (0.038 < 0.10) ; then the result is significant.
Therefore, the result is significant at α = 0.10
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the perimeter of a rectangular field is 326. yards is the length of the filed is 89 yards, what is its width?
Answer:
width= 74 yards
Step-by-step explanation:
see attached pdf for step-by-step explanation!
The following list gives the number of public libraries in each of 8 cities.
8, 8, 11, 7, 10, 7, 9, 9
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answer:
There are 3 modes: 8, 7, 9
Step-by-step explanation:
Mode is the number that appears the most often
A rectangular photograph that is 5 inches wide and 7 inches long is enlarged to produce a photgraph that is 12 inches wide, if the enlarged photograph is in proportion to the original, what is the length in inches of the large photograph?
9514 1404 393
Answer:
16.8 inches
Step-by-step explanation:
The length is 7/5 = 1.4 times the width. The length of the enlargement will be ...
(12 in)×1.4 = 16.8 in
The large photo will be 16.8 inches long.
PLEASE HELP ITS MATH THANK YOUUUU HURRY
The answer is 8 centimeters
4cm=1 km
8cm=2 km
the answer is 8 centimeters
f(x)=-x^2-9x-7
f(x)=−x
2
−9x−7
f = 3
Answer:
Assuming the question posed is to find the values of x thtat satisfy the equation f(x) = x^2 - 9x - 7, this is a quadratic equation of the form Ax^2 + Bx + C which has the closed-form solution x = (-b +/- Sqrt[b^2 - 4 ac])/(2a) - widely known as the "quadratic equation."
Step-by-step explanation:
By applying the quadratic equation, we find that the solutions to this equation are
x = 1/2 * (9-Sqrt[109])
x = 1/2 * (9+Sqrt[109])
22. Write the following as fractions:
i) Seven hundredths
ii) Six ninths
The figure below has a point marked with a large dot.
First, rotate the figure 270° clockwise about the origin.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
( 5 , - 3 ) -------> ( 3 , 5 )
Step-by-step explanation:
After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.Given is a figure rotated 270° clockwise about the origin.
The algebraic rule for a figure that is rotated 270° clockwise about the origin is -
(x, y) → (y, -x)
Initial point marked on the figure : (5, 3)
After the rotation, the points will be : (3, - 5)
Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).
To solve more questions on rotation and dilation, visit the link below -
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Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.
How old is Maggie?
Maggie is
years old.
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
someone please answer!!
Answer:
40°
Step-by-step explanation:
180-(57+43)=100°
which mean the angle at the top =100°
180-100=80°
x=80/2
x=40
Someone help me with this it’s due!!!!
Hi the answer is 10.
The left side went from 18 to 6. So it got scaled down by a factor of 1/3.
If the bottom side is originally 30. It will get scaled down to 10 because 30*1/3 = 10.
the first term of an arithmetic sequence is 3000 and the tenth term is 1200. the sum of the first 20 terms of the sequence
Step-by-step explanation:
B
1100
To find the sum of the first n terms of an arithmetic series use the formula,
S
n
=
2
n(a
1
+a
n
)
S
20
=
2
20(10+100)
S
20
=
2
2200
S
20
=1100
Write the value of 7 in the number762,039.34
Answer:
700,000.00
Step-by-step explanation:
Answer:
the place value is in the hundredth thousands
A student is ordering dried chili peppers and corn husks for a cooking class.
Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.
Here are the inequality and graph that represents this situation.
16.95p+6.49h<50
p represents the number of pounds of dried chili peppers
h represents the number of pounds of corn husks
Which combinations of pounds of dried chili peppers (p) and corn husks (h) can the student purchase? Select all that apply.
A 1 pound of dried chilis and 5 pounds of corn husks1 pound of dried chilis and 5 pounds of corn husks
B 2 pounds of dried chilis and 1 pound of corn husks2 pounds of dried chilis and 1 pound of corn husks
C 0 pounds of dried chilis and 7 pounds of corn husks0 pounds of dried chilis and 7 pounds of corn husks
D 4 pounds of dried chilis and 0 pounds of corn husks4 pounds of dried chilis and 0 pounds of corn husks
E 1 pound of dried chilis and 3 pounds of corn husks1 pound of dried chilis and 3 pounds of corn husks
F 3 pounds of dried chilis and 3 pounds of corn husks
Answer:
e, b
Step-by-step explanation:
you gotta multiply and see if it matches the inequality
Please someone help.. ASAP
Answer:
A straight
B obtuse
C acute
Answer:
1) Straight a
2)Obtuse c
3)Acute d
4)Reflex b
Step-by-step explanation:
please mark me as brainlest
It took a manticore the same amount of time to fly 10 miles with the wind as 5 miles against the wind. What is the speed of the speed of the wind if the manticore flies 30 mph in still air?
Step-by-step explanation:
The time it takes for the manticore to travel 10 miles with the wind is given by
[tex]T_1 = \dfrac{10\:\text{mi}}{v_m + v_w}[/tex]
where [tex]v_m[/tex] is the speed of the manticore and [tex]v_w[/tex] is the speed of the wind.
Likewise, the time it takes for the manticore to travel 5 miles against the wind is
[tex]T_2 = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]
Since [tex]T_1 = T_2,[/tex] we can write
[tex]\dfrac{10\:\text{mi}}{v_m + v_w} = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]
After cross-multiplying,
[tex]10(v_m - v_w) = 5(v_m + v_w)[/tex]
[tex]\Rightarrow 10v_m - 10v_w = 5v_m + 5v_w[/tex]
Collecting similar terms, we get
[tex]15v_w = 5v_m[/tex]
Solving for [tex]v_w,[/tex] we get
[tex]v_w = \dfrac{5}{15}v_m = \dfrac{1}{3}v_m[/tex]
[tex]\:\:\:\:\:\:\:=\dfrac{1}{3}(30\:\text{mi/hr}) = 10\:\text{mi/hr}[/tex]
Speed of the wind as the mantle flies 30 mph is;
10 mph
We know that formula for time is;t = distance/speed
Let v_m be speed of manticore
Let v_w be wind speed
Time for it to fly 10 miles with the wind is;t = 10/(v_m + v_w)
Time for it to fly 5 miles against the wind is;t = 5/(v_m - v_w)
I used negative sign between v_m and v_w because the motion is against the wind.
Since we are told the mantle flies 30 mph in air and the times in both cases are equal, then we have;10/(30 + v_w) = 5/(30 - v_w)
Rearranging gives us;
(10/5)(30 - v_w) = 30 + v_w
2(30 - v_w) = 30 + v_w
60 - 2v_w = 30 + v_w
30 = 3v_w
v_w = 30/3
v_w = 10 mph
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claim less than 50%of students like chocolate. Data: In a sample of 12 students 2 of them like chocolate. Calculate the p value to at least 4 digits of accuracy.
PLEASE HELP ITS MATH THANK YOUUUU
can someone explain this
Answer:
Step-by-step explanation:
To find measures of angles m and n
The triangle to the left has three sides of equal length.
This means that it will also have three angles of equal measure.
The internal angles of a triangle sum to 180°
So the internal angles of the left triangle are 180/3 = 60°
The top right angle is made up of one of the 60° angles and angle n
60 + n = 90
n = 30°
Again the internal angles of a triangle sum to 180°, so the right triangle
m + n + 90 = 180
m = 180 - 90 - 30
m = 60°
or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.
Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore
m = 60°
Here is a list of numbers:
24
,
87
,
79
,
82
,
12
,
2
,
79
,
32
,
46
,
90
Answer:
Light Red
Step-by-step explanation:
The pH of apple juice is found to be in the range of 2.9 - 3.5. So, the Colour of the universal indicator (pH paper) will be light red.
what is the scientific notation for 3 cm
Answer:So sorry come back later
So sorry come back later
Step-by-step explanation:So sorry come back later
Heyyy can you help yes no maybe do.?.?.?.?.?
The answer is 5.10.
Wanna know why? Well
63.50 divided by 5 Minus .90. Your welcome
I know I'm awsome.
Brainliest pls
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length 3/8, width, and height of centimeter, 1/8 centimeter, and centimeter, 5/3 respectively.
The volume of the block is cubic centimeter. The number of cubic wooden blocks with a side length of centimeter that can be cut from the rectangular block is .
Reset Next
Given : A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.
To Find :The volume of the block
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block .
Solution:
Volume of rectangular prism = length * width * height
= (3/8) ( 1/8) ( 5/8)
= 15/8³
= 15/512
= 0.029296875 cm³
Volume of block = 15/512 cm³ or 0.029296875 cm³
Volume of cube = ( edge length )³
=> cubic wooden blocks volume = (1/8)³ = 1/512 cm³
The number of cubic wooden blocks that can be cut = (15/512) / (1 /512)
= 15
Volume of block = 15/512 cm³ or 0.029296875 cm³
The number of cubic wooden blocks that can be cut = 15
The volume of the wooden block is 5/64 cubic centimeters
How to determine the volume of the wooden block?The given parameters are:
Length = 3/8
Width = 1/8
Height = 5/3
The volume of a rectangular prism is:
Volume = Length * Width * Height
So, we have:
Volume = 3/8 * 1/8 * 5/3
Evaluate the product
Volume = 5/64
Hence, the volume of the wooden block is 5/64 cubic centimeters
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Please help, I'm confused
30 x ( 3 x 10 negative 4) Be sure the answer is in scientific notation. A) 90 x 10 negative 4. B) 9 x 10 negative 3. C) 90 x 10 negative 3. D) 9 x 10 negative 5
Answer:
are these all the same question?
what is Evaluate |5 - 15|
-20 or 10
Answer:
10
Step-by-step explanation:
[tex]|5-15|[/tex] [tex]|-10|[/tex] [tex]10[/tex]Use the diagram to find the measures of each angle. Explain your reasoning.
Answer:
EBD:130°
ABE:50°
Step-by-step explanation:
EBD=ABC=130°
ABE=CBD=50°
2/5 × 6/7= simplify form
Answer:
2 x 6 = 12
5 x 7 = 35
12/35
Step-by-step explanation:
Answer:
12/35
Step-by-step explanation:
12/35
[tex]\frac{2}{5} *\frac{6}{7}[/tex]
You can't simplify 12/35
S=4LW+2WH; S =138, L = 9, W = 3
Step-by-step explanation:
Given,
S = 4LW + 2WH
S = 138
L = 9
W = 3
so value of H,
→ 138 = 2(9)(3) + 2(3)H
→ 138 = 54 +6H
→ 6H = 138 - 54 = 84
→ H = 84/6 = 14
therefore, value of H is 14.
hope this answer helps you dear and may u have a great day, take care
factorise [tex]x^{2}[/tex]=x
Answer:
x^2=x, factorizing then x^2-x=0, the x is present in the monomials and can be factorized , so x(x-1)=0
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 11%. After 14 years, the interest earned on the account was $3,080. How much money did Mike's grandmother deposit in the account?
Answer:
Step-by-step explanation:
Bà của Mike đã mở một tài khoản tiết kiệm đứng tên Mike và gửi một số tiền vào tài khoản. Tài khoản trả lãi suất đơn giản hàng năm là 11%. Sau 14 năm, tiền lãi thu được trên tài khoản là $ 3,080