Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Which of these shows the complete factorization of 6x^2y^2-9xy-42
Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The given expression is
[tex]6x^2y^2-9xy-42[/tex]
= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]
The factorized form will be
= [tex]3 (2x^2y^2 - 3xy - 14)[/tex]
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Determine a series of transformations that would map Figure L onto Figure M.
TO
Figure L
Figure M
Answer:
rotation of 90° counterclockwise, then translation 3 down
The given figure has a rotation of 90° counterclockwise, then translation 3 down.
What is translation?A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.
The two figures given in the image are plotted on the coordinate plane having axis x and y.
From the figure it is observed that the given figure has a rotation of 90° counterclockwise, then translation 3 down.
Therefore, the given figure has a rotation of 90° counterclockwise, then translation 3 down.
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Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?
Answer:
b=76/4
Step-by-step explanation:
Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers
Answer:
The answer is 19 boxes
Step-by-step explanation:
Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)
Can someone help me plz
Answer: ITS 100% D.)12
Step-by-step explanation:
2x * 12 = 24 = 36
3x * 13 = 36
therefore, x= 12
hope this was helpful :D
brainliest plz?
Which expressions are equivalent to the one below? Check all that apply. 5^3 • 5^x
A. 5^3 + x
B. 125•5^3
C. (5 • x)^3
D. 25^3x
E. 53^3x
F. 53^3-x
Hi there, I'll help you out :)
The expression that is equivalent to 5^3 • 5^x is A. If you solve the expression given in the question, you get 5^3 + x, which is exactly the same as the first choice.
- B gives you 15625
- C gives you 125x^3
- D gives you 15625^x
- E gives you 148,877^x
- F can't really be solved
Because none of the other answer choices match up, that leaves A as your only answer.
Hope this helps!
The expressions which are equivalent to the one given below are 5³⁺ˣ and 125 (5ˣ).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5³ . 5ˣ
We have the product rule of exponents that,
xᵃ . xᵇ = xᵃ⁺ᵇ
Using the same here,
5³ . 5ˣ = 5³⁺ˣ ------(1)
Now the value of 5³ = 5 × 5 × 5 = 125
So, 5³ . 5ˣ = 125 (5ˣ) --------(2)
Hence the equivalent expressions are 5³⁺ˣ and 125 (5ˣ).
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What is the missing length?
A. 15
B. 30
C. 8
D. 7
Answer:
red and blue are not a Selection!!!!!
A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
from the base of the tree?
Answer: 6 meters
Step-by-step explanation:
I had this question and got the answer right.
The distance from the base of the tree will be 6 meters.
What is a Pythagorean theorem?The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.
From the Pythagorean theorem, the base will be calculated as:-
H² = P² + B²
B = √ ( H² - P² )
B = √ ( 10² - 8² )
B = √36
B = 6 meters
Hence, the 6 meters will separate you from the tree's base.
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Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge? O
A. 10,760 feet O B. 21, 552 feet O C. 8,980 feet O D. 8,167 feet
Actual length of the Bridge = 8983.33 feet.
The scale is 1 unit = 19,600.
Height of the postcard is 3.5 inches.
So, original height of the bridge = 3.5 × 19,600 = 68,600 inches
= 5716.67 feet
Width of the postcard is 5.5 inches.
So, original width of the bridge = 5.5 × 19,600 = 107,800 inches
= 8983.33 feet
hope it helps
The correct option is (c) 8980 feet.
What is length ?The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For example - A rectangle, for instance, has length and breadth as its dimensions. Two hours is an example of length for a movie. 12 inches is an illustration of length.Given,length of the Bridge = 8983.33 feet.
The scale is 1 unit = 19,600.
Height of the postcard is = 3.5 inches.
So,
Original height of the bridge = 3.5 × 19,600 = 68,600 inches
= 5716.67 feet
Width of the postcard is 5.5 inches.
So, original width of the bridge = 5.5 × 19,600 = 107,800 inches
= 8983.33 feet
Therefore, the original width of the bridge is 8983.33 feet .
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Use the box plots for 3 and 4. What are the two medians. Pls help me
Answer:
C
Step-by-step explanation:
Answer:
C. 40 and 50
Step-by-step explanation:
The median marks the mid-point of the data and is shown by the line that divides the box into two parts (sometimes known as the second quartile). Half the scores are greater than or equal to this value and half are less.
Please help!!!!!!!!!
Answer:
-1 is the remainder
hope it helps
Which of the following inequalities is correct
Amiyah has two coupons from Macy's Department Store, one for $20 off
and another for 20% off. She wants to purchase a shirt for $64. Her
friend Emma told her to use the 20% off coupon because it is the best
deal and her other friend Jermaine told her to use the $20 off coupon
because it is the best deal. Which friend is correct and why?
Answer:Jermaine
Step-by-step explanation:
A child can choose one stuffed animal. She can choose from a dog or a bear. Each comes in brown, gray or white. You can also choose green eyes or blue eyes. How many possible stuffed animal choices does the child have?
Step-by-step explanation:
[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]
Without doing any calculations, compare Expression A to Expression B
A (34 + 25) ÷ 1/4
B 34 ÷ 25
1. Expression A is 2 times as great as expression B
2. Expression B is 4 times as great as Expression A
3. Expression A is 4 times as great as expression B
4. The two expressions are equal to each other.
Answer:
3
Step-by-step explanation
i searched it up :0
Answer: the answer is 3
Step-by-step explanation:
Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12
Answer:
two dollars
Step-by-step explanation:
12-8=4/2=2
tell weather the ordered pair is a solution of the equation y=7x;(2,21)
Answer:
3,21 is
2,21 is not a proper ordered pair.
Step-by-step explanation:
Remark
It's not a solution
You can either use the x value to find out the proper y value
or
You can use the y value to find out the proper x value
Proper y value
Let x = 2
y = 7*2
y = 14
So the proper y value given that x = 2 is 14.
Proper x value
Let y = 21
21 = 7x Divide both sides by 7
21/7 = 7x/7
3 = x
But (2,21) is not a solution. (3,21) is.
PLEASE HELP ME PLEASE!
Help please will mark brainliest!!!
Answer:
945
Step-by-step explanation:
Is anyone good at math on the top of their head pls comment below ASAP!!!
Answer:
please do you need help there are more expect around
Step-by-step explanation:
drop the question let help you
Answer:
yea me kinda the only thing i help on brainly is math
Step-by-step explanation:
Im im baby need help give crayons for answer 1+1=????
Answer:1+1=2
Step-by-step explanation:
Yeah Bio
David rode his bike a total of 214 miles from his house to the store. First he rode 34 mile from his house to his school. Then he rode 14 mile from his school to the library. Finally he rode from the library to the store. How many miles did David ride between the library and the store?
Answer:
166 miles
Step-by-step explanation:
Add the 34 miles he rode from home to school and the 14 miles he rode from school to the library.
34 + 14 = 48.
Subtract 48 from 214 to get 166
214 - 48 = 166
David rode 166 miles between the library and the store.
Hope this helps! Pls mark brainliest
Help fast plz !!!!!!!!!!!
small....you can use random samples to obtain a small representation of populations that are too large to survey
Long division259560÷25
Answer:
21
Step-by-step explanation:
1. What is m angle R ? A 45 degrees B 69 degrees C 79.5 degrees D 90 degrees
An experiment reported in Popular Science compared fuel economies for two types of similarly equipped diesel mini-trucks. Let us suppose that 12 Volkswagen and 10 Toyota trucks were tested in 90- kilometer-per-hour steady-paced trials. If the 12 Volkswagen trucks averaged 16 kilometers per liter with a standard deviation of 1.0 kilometer per liter and the 10 Toyota trucks averaged 11 kilometers per liter with a standard deviation of 0.8 kilometer per liter, construct a 90% confidence interval for the difference between the average kilometers per liter for these two mini-trucks. Assume that the distances per liter for the truck models are approximately normally distributed with equal variances.
Answer:
CI= [4.324 , 5.6758]
Step-by-step explanation:
The 90 % confidence interval for the normal distribution is given by
(x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2
where Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2
and n1= 12 n2=10
x1`= 16 km x`2 = 11km
s1= 1km s2= 0.8km
and degrees of freedom υ= n1+n2-2= 20
Here ∝/2 = 0.05
From the table we get the value of t∝/2 (υ) to be 1.725
Putting the values
Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2
Sp= √11(1) + 9(0.8)²/20
Sp= √0.838=0.915
CI = (x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2
CI = (16-11)± 1.725 * 0.915√1/12+ 1/10
CI = (5) ± 0.675819
CI=[ 4.324 , 5.6758]
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer: 13
Step-by-step explanation: Hope this help :D
FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?
Answer:
A
Step-by-step explanation:
The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.96.
Answer: The mean height of women in a country ages 20 29
The mean height of women in a country (ages 20-29) is 63.7 inches.
What if the value of <5
Answer:
any number from -infinity to 4 is the value less then 5
which graph correspond to the following-2x-3y
Answer:
Hi! The answer to your question is in the picture below
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka