Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest
Help please!!
10. A garden has an area of 400 m².
The garden is divided into 16 congruent square plots.
What is the side length of each plot?
Answer:
Step-by-step explanation:
if the garden is a square, then it each side of the garden would be 20. if there's 16 congruent square plots, it means 4 sides of a plot per side of the garden, meaning that the side length of the plot would be 5 meters
Solve the given system of equations utilizing either the substitution or addition method.
Answer:
x = − 6.3 , y = 2.6
Step-by-step explanation:
A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?
Answer:
The D cells are worth $2.20, and the C cells are worth $1.90.
Step-by-step explanation:
This can be written as:
4x + 2y = 12.60
6x + 4y =20.80
Our goal is to find one variable, then use that information to find the other.
If we multiply the top function by -1.5, we get:
-6x - 3y = -18.90
We can add this to the previous equation.
-6x - 3y = -18.90
+ 6x + 4y = 20.80
--------------------------
y = 1.90
The C cells are worth $1.90.
Plug this value into one of the other equations and solve for x.
4x + 2y = 12.60
4x + 2(1.90) = 12.60
4x + 3.80 = 12.60
4x = 8.80
x = 2.20
The D cells are worth $2.20.
Check these values in the other equation.
6x + 4y = 20.80
6(2.20) + 4(1.90) = 20.80
13.20 + 7.60 = 20.80
20.80 = 20.80
Answer:
C = $1.90 each
D = $2.20 each
Step-by-step explanation:
Given:
Power pack A: 4D + 2C = 12.60
Power pack B: 6D + 4C = 20.80
Isolate any one variable:
4D + 2C = 12.60
4D = 12.60 - 2C
D = 3.15 - 0.5C
Substitution to find cost of C cell battery:
6D + 4C = 20.80
6(3.15 - 0.5C) + 4C = 20.80
18.9 - 3C + 4C = 20.80
18.9 + C = 20.80
C = 1.90
Substitution to find cost of D cell battery:
4D + 2C = 12.60
4D + 2(1.90) = 12.60
4D + 3.8 = 12.60
4D = 8.8
D = 2.20
PLEASE HELP ME WITH GEOMETRY SO I DON"T HAVE TO TAKE THE FINAL!!!!
Kareem but a new collar and a toy mouse for his cat. The collar cost $3.50, the toy mouse cost $2.70, and the tax was 5% how much change did Kareem get from a $10 bill?
Answer:
Kareem will get $3.49 in change from a $10 bill.
Step-by-step explanation:
3.50 + 2.70= 6.20
6.2 x .05= .31
6.20 + .31= 6.51
10.00 - 6.51= 3.49
$3.49
What number makes this set not a function?
(-1,7) (1,7) (2,7) (-1,7)
-1
1
2
7
whats the factor of this expression?
10x + 40y?
Answer:
10(x + 4y)Step-by-step explanation:
factor of 10x + 40y
10(x + 4y)Answer:
10(x + 4y)
Step-by-step explanation:
(9+5)t pls help meee
Answer:
14t
Step-by-step explanation:
the answer is 14t hope this helps
range of 9, 27, 7,11, 13,21,5, and 14
89 − 5 =84
Answer:
84
Answer:
I got 18
Please correct me If I am wrong thxs.
Step-by-step explanation:
You subtact the high number to a low number
In this case 27 is the highest and lowest is 9
-6 + 2x = -10 what is x
Answer:
x = -2
Step-by-step explanation:
-6 + 2x = -10
+6 +6
2x = -4
Divide both sides by 2
x = -2
I hope this was helpful! <3
Could I get brainliest?
The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters.
Which equation correctly relates the given information and the width, www?
length=5 meters
area=10meters squared
area=length times width
10=L*W
10=5L
Length=2meters
Answer:
length=5 meters
area=10meters squared
area=length times width
10=L*W
10=5L
Length=2meters
Step-by-step explanation:
A pair jeans on sale for 20% off the sale price is $55 what is the original amount of the pair of jeans
Answer:
$66
Step-by-step explanation:
Answer:
the original price of the jeans
The price is 66+
Step-by-step explanation:
Find 20% of the jeans (11$) then add that 11$ to the price of the jeans. final answer: $66
PLS GIVE ME BRAINLIEST AND A GOOD RATING :) glad to help
Do you like dough nuts or not I am just doing a survey
Answer:
nes
Step-by-step explanation:
Answer:
OFCOURSE
Step-by-step explanation:
PLs give brainlist mean the world
have a good day
In the given figure, line m is parallel to line n, and line a is parallel to line b.
Answer:
vertical angles theorem
Corresponding angles are two or more angles that have similar properties. Thus they have equal measures.
The required prove is given in the explanation below:
Considering the given diagram, it can be observed that:
<1 ≅ <3 and <2 ≅ <4 (vertically opposite angle theorem)
Also,
<5 ≅ < 7 and <6 ≅ <8 (vertically opposite angle theorem)
m ⊥ n and a ⊥ b (given)
Thus,
<1 + <2 + <3 + <4 = [tex]360^{o}[/tex] (sum of angles at a point)
Also,
<5 + <6 + <7 + <8 = [tex]360^{o}[/tex] (sum of angles at a point)
Therefore,
<1 ≅ <7 (corresponding exterior angle property)
Therefore by corresponding exterior angle theorem, <1 ≅ <7.
Visit: https://brainly.com/question/17883766
2 +2
6+6
794×890 ×572 ×89
e
Answer:
2+2=4
6+6= 12
794*890*572*89=33145180640
Step-by-step explanation:
A company paid $ 391 for 15 bushes and 8 bonsai trees . They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 . What is the cost of each bush and bonsai tree ? the boxes below .
Answer:
Cost of one bush = x = $9
Cost of one bonsai tree = y = $32
Step-by-step explanation:
Let Cost of one bush = x
Cost of one bonsai tree = y
From the expression: A company paid $ 391 for 15 bushes and 8 bonsai trees
We made equation: [tex]15x+8y=391[/tex]
and From the expression: They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 , we made equation: [tex]9x+5y=241[/tex]
Solving both equations simultaneously we can find value of x and y
Let:
[tex]15x+8y=391--eq(1)\\9x+5y=241--eq(2)[/tex]
We will use elimination method to solve these equations.
Multiply eq(1) by 5 and eq(2) by 8 and subtract
[tex]75x+49y=1955\\72x+40y=1928\\- \ \ \ - \ \ \ \ \ \ \ -\\--------\\3x=27\\x=\frac{27}{3}\\x=9[/tex]
So, value of x=9
Now finding value of y by putting value of x in equation 1
[tex]15x+8y=391\\Put \ x=9\\15(9)+8y=391\\135+8y=391\\8y=391-135\\8y=256\\y=\frac{256}{8}\\y=32[/tex]
So, value of y=32
Cost of one bush = x = $9
Cost of one bonsai tree = y = $32
Solve for N
2/9n= −6
Answer:
n=-27
Step-by-step explanation:
Step-By-Step on how to solve it is in the image shown below.
Hope this helps! :)
Solve for x in the equation x^2-10x+25= 35
The answer is in the SS below with the steps
Answer:
option B
Step-by-step explanation:
the person above me is correct. i got 100% on the quiz
what is the realashionship between ceels and tissues
PLEASE HELP ME FIRST ANSWER GETS BRAINLIST AND ANSWER MY OTHERS PLEASE
Answer:
2. ad is the angle bisector of angle a
3. ad is perpendicular to bc
4. both are right angles as given
5. common
6. ASA congruence
If each square in the grid has a side length of 8mm, what is the length and width of the rectangle?
PS: I NEED IT RIGHT NOW
Answer:the explanation hopes this helps!!!
Step-by-step explanation:
The question required attachment; however, follow the following steps to answer your question.
See Attachment
Considering the horizontal plane of the gird.
Count the number of the squares in that plane;
This gives 4
Multiply 4 by length of each side of a square;
PLEASE DON'T STEAL POINTS! the question gets marked as answered and ppl that actually can answer can't see it.
A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?
Answer:
The bird flies 35 degrees north for about 3 to 4 miles
Answer:
Step-by-step explanation:
tan35 = x/2
tan35(2) = .9476 miles, due northeast.
you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.
The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars
Answer:
y=-500x+22,000
Step-by-step explanation:
It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.
Answer:
Y = mx + c
C = 22,000
But slope is unknown
Y= mx + 22000
Check this for me guys and lmk!! ASAP thanksss
Answer:
Step-by-step explanation:
for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply
for the second one it would be 5/2 or 2 1/2
For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly
Answer:
2 1/2 for oatmeal
3 for salad
Step-by-step explanation:
Which number line best represents the solutions to 7 < -2x + 3?
Answer:
we need a number line for this question...
Step-by-step explanation:
Answer:
x< -2
Step-by-step explanation:
Citing drastic differences between her school and the white school across the
street, Clark fought for for teachers. *
24x - 64x2 - 21x + 56
(3x2-4)(8x-14)
(8x2-7)(3x-8)
Osimilar scheduling
O pay equalization
(6x-8)(4x-7)
Answer:
the pay one
Step-by-step explanation:
i thinks sorry if i get it wrong
Answer: 3x-184
Step-by-step explanation:
first you subtract 24x-21x then you multply 64*2 then add 56 to the answer 0f 64*2
Triangle similarity problem
Answer:
ST = 16
Step-by-step explanation:
The similar triangles are given as triangle PQR similar to triangle STU.
That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.
[tex] \dfrac{ST}{PQ} = \dfrac{SU}{PR} [/tex]
[tex] \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} [/tex]
Multiply both sides by 9.
[tex] \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} [/tex]
Cross multiply.
[tex] 7(5x + 1) = 4(11x - 5) [/tex]
Distribute on both sides.
35x + 7 = 44x - 20
Subtract 44x from both sides.
-9x + 7 = -20
Subtract 7 from both sides.
-9x = -27
Divide both sides by -9.
x = 3
ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16
Answer: ST = 16
which of these is an example of typing at an average of 42 words per minute
A unit rate is a rate in which A one of the quantities is 1. B the quantities add up to 1. C both of the quantities are 1. D neither of the quantities is 1.
Answer: A. because it is the only one that makes sense, the unit rate is where the second quantity is one unit: etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.