Answer:
5040
Step-by-step explanation:
8!/(2!x2!x2!)
8 letters in the word / 2r's 2e's 2t's
The number of ways in which the letters can be arrange is 5,040 ways.
The given letters include;
BARRETTE
The numbers of the individual letters repeated include;
letter R = 2letter E = 2letter T = 2Total number of all the letters = 8
The number of ways in which the letters can be arrange will be determined using factorial method as shown below;
[tex]number \ of \ ways = \frac{8!}{2! \times 2! \times 2!} = \frac{40320}{8} = 5,040 \ ways[/tex]
Thus, the number of ways in which the letters can be arrange is 5,040 ways.
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A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used. A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0. A level of significance of 0.05 will be used to determine if the doors are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the doors are either too long or too short?
Answer:
No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.
Step-by-step explanation:
We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.
A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.
Let [tex]\mu[/tex] = population mean length of doors.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2058.0 millimeters {means that the mean length of doors is 2058.0 millimeters}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 2058.0 millimeters {means that the doors are either too long or too short}
The test statistics that will be used here is One-sample t-test statistics because we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = 2043.0 millimeters
s = sample standard deviation = 25.0 millimeters
n = sample of doors = 11
So, the test statistics = [tex]\frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }[/tex]
= -1.989
The value of t-test statistics is -1.989.
Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean length of doors is 2058.0 millimeters.
if you help FAST I will give BRAINLIST
Given a || b , and c is not parallel to a or b, which statements
must be true?
Select each correct answer
mZ5=mZ12
mZ1=mZ5
mZ4=mZ5
m27 = mZ11
Answer:
A,B,D are true C is false
3. Here is a list of exam scores for Mr. Kraft's calculus class:
60 61 61 65 72 75 75 78 81 81 85 89 91 98
What is the percentile of the person whose score was 85?
A) 15%
B) 21%
C) 29%
(D) 71%
E) 85%
Answer
15%
Step-by-step explanation:
I think the answer is 15% because when we talk about percentile, we are actually subtracting from 100% in simpler terms. If we say a 85th percentile, it actually means 15%.
The 10th grade is having a picnic this Friday. There will be 182 students and 274 adults. Each table seats 12 people. How many tables are needed?
Answer:
38 Tables
Step-by-step explanation:
182 + 274 = 456
456 / 12 = 38
four numbers 43 and 44, write an equation for the parabola in standard form
Answer: 43) y = -x² - 2x + 3
44) y = (1/2)x² + 2x + 3
Step-by-step explanation:
43) Since the x-intercepts and another point are given, use the Intercept form:
y = a(x - p)(x - q) where
p and q are the x-intercepts"a" is the vertical stretch(x, y) is another point on the curveGiven: p = -3, q = 1 (x, y) = (-1, 4)
y = a(x - p)(x - q)
y = a(x + 3)(x - 1)
4 = a(-1 + 3)(-1 - 1)
4 = a(2)(-2)
4 = -4a
-1 = a
Equation: y = -1(x + 3)(x - 1)
Expand: y = -(x² - x + 3x - 3)
= -(x² + 2x - 3)
= -x² - 2x + 3
***********************************************************************************
Since the vertex and another point are given, use the Vertex form:
y = a(x - h)² + k where
(h, k) is the vertex"a" is the vertical stretch(x, y) is another point on the curveGiven: (h, k) = (-2, 1) and (x, y) = (0, 3)
y = a(x - h)² + k
y = a(x + 2)² + 1
3 = a(0 + 2)² + 1
3 = 4a + 1
2 = 4a
1/2 = a
Equation: y = (1/2)(x + 2)² + 1
Expand: y = (1/2)(x² + 4x + 4) + 1
= (1/2)x² + 2x + 2 + 1
= (1/2)x² + 2x + 3
Help me year 6 rounding. Question 2 thx
(Better to screen shot)
Answer:
1. 3,002,508
2. 8,473,211
rounded to nearest hundred thousand: 8,500,000
Step-by-step explanation:
hope this helps.
Please solve
Solve -13n - 53 = -2 (2n - 14). n
FIRST RIGHT GETS BRAINLIEST
Answer:
203 is the median value.
Step-by-step explanation:
The range is 62, minimum is 174, and the maximum is 236. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
I NEED YOUR HELP PLSS
If the vertical length is 10, what is the horizontal length?
Answer:
yes this person did because I have the same question
Step-by-step explanation:
Cookies come in packages of 12. Drinks come in packages of 3,4,5,6,8,10 and 12. Make a table to show how many packages of each size to buy so that you have the same number of cookies and drinks.
Answer:
Step-by-step explanation:
SkDdhdhndjd
The quotient of n and -4 is 8. What is the value of n?
Answer:
n = -32
Step-by-step explanation:
quotient means divide
n/-4 = 8
Multiply each side by -4
n/-4 *-4 = 8*-4
n = -32
a class of 40 students visits a farm . they tour the farm in groups of 5 . how many groups of 5 can they make?
Which of the following is equivalent to the expression (3x² + 2x-8)-(2x² - 4x + 7)?
Answer: x^2+6x-15
Step-by-step explanation:
I’m not sure about this one folks plz help:D
35 is the answer
Explanation, the sum of interrior angme is 180degree
x+(3x+40)= 180
or, 4x= 180-40
or, x= 140÷ 4
or x = 35
Answer:
B
Step-by-step explanation:
For the 2 lines to be parallel, then the 2 angles are same- side interior angles and are supplementary, thus
x + 3x + 40 = 180 , that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35 → B
Solve for y
6x + 2y = 4
Answer:
y= 2-3x
Step-by-step explanation:
2/3 divided by 4 to fine the quotient
Answer: 1/6
Step-by-step explanation: 2/3 / 4 is 1/6 or 0.1666666....
please helpppppp fastttt
Answer:
I am pretty sure it is A. 85°
Will give brainliest answer
Ivy - Your definition is incorrect......
Ethan - Excellent!.......
Ebuka - Angle Measures help us describe the rotations...............
Hope that helped
Ivy's definition is incorrect and lacks clarity, Ethan's definition is praised for its accuracy and intellect, Ebuka's definition is acknowledged for its understanding of angle measures but does not align with the geometric object of an angle.
Based on the information provided, we can match the teacher's comments to the definitions as follows:
a. Ivy's definition: The teacher's comment is "Your definition is incorrect, and its precise meaning is unclear." This comment matches Ivy's definition as it implies that Ivy's definition is incorrect and lacks clarity.
b. Ethan's definition: The teacher's comment is "Excellent! You have a razor-sharp intellect!" This comment matches Ethan's definition as it praises the accuracy and intelligence reflected in his definition.
c. Ebuka's definition: The teacher's comment is "Angle measures help us describe rotations, but your definition doesn't work for the geometric object we call an angle." This comment matches Ebuka's definition as it acknowledges the relevance of angle measures in describing rotations but points out that his definition does not align with the specific geometric object called an angle.
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1. Add 8, 3.5, and 15.
2. Add 15,7,.5
3. Add 7, .8,.6
4. Add 35.15,14.18,7.16
5. Add .8,5,.7
[tex]1.)\;8+3.5+15=26.5\\2.)\;15+7+5=27\\3.)7+8+6=21\\4.)35.15+14.18+17.16=66.49\\5.)\;8+5+7=20[/tex]
Step-by-step explanation:
Hey there!
Let's add them.
1). 8,3.5, 15
[tex] = 26.5[/tex]
2). 15 + 7 + .5
[tex] = 22.5[/tex]
3). 7, .8, .6
[tex] = 8.4[/tex]
4). 35.15, 14.18, 7.16
[tex] = 49.33 + 7.16[/tex]
[tex] = 56.49[/tex]
5). .8, 5, .7
[tex] = 6.5[/tex]
Hope it helps...
Dorothy runs for 3.35 kilometres every day .
After 7 days how many meters has Dorothy ran
Answer:
23.45 meters
Step-by-step explanation:
To solve, you do 3.35*7, which gives you 23.45
Can you see it? Help please
[tex]f(x) = 7x[/tex] [tex]g(x) = \sqrt{x}[/tex] [tex]h(x) = x^2 + 7[/tex]
11)
[tex]g(f(4)) = \sqrt{7 \cdot 4} = \sqrt{28} = 2\sqrt{7}[/tex]
12)
[tex]h(g(49)) = 49 + 7 = 56[/tex]
13)
[tex]g(f(x)) = \sqrt{7x}[/tex]
14)
[tex]h(g(x)) = (\sqrt{x})^2 + 7 = x + 7[/tex]
15)
[tex](g \circ h)(x) = g(h(x)) = \sqrt{x^2 +7}[/tex]
16)
Let [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]
[tex]4y - 3 = x\\4y = x + 3\\y = \frac{x + 3}{4}\\\\f^{-1}(x) = \frac{x + 3}{4}[/tex]
17)
Let [tex]y = g^{-1}(x)[/tex] and [tex]g(y) = x[/tex]
[tex]\frac{2y + 7}{3} = x\\ 2y + 7 = 3x\\2y = 3x - 7\\y = \frac{3x - 7}{2} \\\\g^{-1}(x) = \frac{3x - 7}{2}[/tex]
To paint bedroom, jade estimates she will need to buy 3 1/4 gallons of paint. How many 1/2 gallon cans of paint should the buy ? explain.
Answer: 7 half- gallons of paint
Step-by-step explanation:
3 divided by .5 is 6, so 6 half-gallons will cover the 3 gallons. Another half-gallon is needed to cover the remaining 1/4 gallon needed, and Jade will have 1/4 gallon of paint left.
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total?
-$866.84
$878.28
$895.03
$903.10
Answer:
B
Step-by-step explanation:
[tex]5.72+872.56=878.28[/tex]
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Find the value of x
Helllllppp
Answer:
A
Step-by-step explanation:
Both angles are the same so subtract 1 from 64.
64-1=63
So now you have to find out what times 3 is 63. 21 x3= 63 sooo 63+1 is 64. so x is 21
what is 100×507 and show how you got the answer
Answer:
just add the zeros in 507
so, you will get 50700
What is the square root of ab2?
Answer:
Step-by-step explanation:
Evaluating the expression: 2(3x-5y) when x=-1 and y=3
Answer:
-36
Step-by-step explanation:
2 [3(-1) - 5(3) ]
2 [-3-15]
2[-18]
-36
Answer:
-36
Step-by-step explanation:
since you say x=-1and y=3, you will put 1 in where x is and 3 where y is ,that is 2(3×-1]-5×3)
2(-3-15) then you subtract the bracket, that is 3-15 and it will give you -18. Then you use the 2 outside the bracket to multiply -18 ,that is 2×-18then it will give -36
the quotient of a number and 2 is equal to 50
What is the distance between A(0, 5) and B(5, -7) ?
Answer:
The distance between the two points is 13 units.
Step-by-step explanation:
take the test
What is the length of segment LM?
units
Answer: 23 units just took the test
Answer:
The answer is 23 units.
Step-by-step explanation:
