Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
what is 5(2x - 7) = step by step equation need please and thank you
someone please help.
Find the measure of angle C.
B (110°
30°
A
Explanation is in the file
tinyurl.com/wpazsebu
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling (in other words, if they lead to a conclusion that the mean weight is different from 32 ounces), the production line will be shut down and adjusted to obtain proper filling. What conclusion is appropriate when H0 cannot be rejected
Answer:
There is no significant evidence to conclude that the mean weight of laundry detergent is being underfilled or overfilled.
Step-by-step explanation:
The null hypothesis ; H0 : μ = 32
The alternative hypothesis : H1 : μ ≠ 32
The null hypothesis is the initial truth statement, therefore, when the Null hypothesis cannot be rejected, the conclusion goes thus :
There is no significant evidence to conclude that there is difference in the mean weight of laundry detergent. Hence, detergent is neither being underfilled or overfilled.
Carlos is making hats for his friends. He has 2 balls of yarn. He uses 1/3 of a ball for each hat. How many hats can Carlos make
Answer:
he can make 6 hats
Step-by-step explanation:
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
If the given figure was folded into a
square pyramid, determine its lateral surface area.
A. 150cm2
B. 1,470cm2
C. 840cm2
D. 616cm2
E. 420cm2
Answer:
the answer is c.840
Step-by-step explanation:
you multiply 15 4 times and multiply it with 14 that would give us 840
Consider the equation: x^2 = - 8x - 7
Answer: The expression is not factorable with rational numbers.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Sophie is buying 3 outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10.00 each, and the total cost is $64.50.
How much did each pair of shorts cost?
Enter your answer as a decimal, like this: 42.53
Answer:
$11.5
Step-by-step explanation:
Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5
Write the answer in simplest form 1 1/3 ÷ 2/3 =
Find the value of x and y. Give your answer in simplest radical form.
Answer:
Step-by-step explanation:
19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2
y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6
21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3
x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21
Step-by-step explanation:
i say you tomorrow ok my friend
There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?
Answer:
8 girlies
Step-by-step explanation:
12/3=4
4x2=8
Answer:
8
Step-by-step explanation:
since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so
x/12=2/3
multiply both sides by 12
(x/12)12=(2/3)12
x=8
Hope that helps :)
Please answer I’ll make brainliest
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?
Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
help help help help help help help help help help help help help
5E. Given ▲ABC with vertices A(2, -1), B(5, 6), and C(-1, 4) as shown. Find the number of square units in the area of ▲ABC in the simplest form.
Answer:
Area = 18 square units
Step-by-step explanation:
Given
[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]B =(5,6)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]
[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]
[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]
[tex]Area = \frac{1}{2} * |36|[/tex]
[tex]Area = \frac{1}{2} * 36[/tex]
Area = 18 square units
Find the missing side length for x.
Answer:
x = 6
Step-by-step explanation:
4/12 = x/18
72 = 12x
x = 6
a triangle has two sides of length 2 & 6, what’s the smallest possible whole number length for the 3rd side
Answer:
2
Step-by-step explanation:
2 is the smallest you can get fir it to be a proper triangle
Please answer the following brainiest for whoever gets it and show work! :D
Step-by-step explanation:
Since I haven't gotten a reply, I'll just do area and circumference.
Area = pi(r^2)
Circumference: 2(pi)r
7) r = 4/3 yd
pi = 22/7
Area = (22/7)(4/3)^2 = 5 37/63
Circumference = 2(22/7)(4/3)
8) d = 8.4, r (radius) is 1/2 of d, so r = 4.2
pi = 3.14
Area = (3.14)(4.2)^2 = 55.3896
Circumference = 2(3.14)(4.2) = 26.376
Hope this helps! I hope that this is what you're looking for or the time will be wasted haha :)
Robert owns a doggy hotel. This is like a kennel but much fancier. Last friday the 14th he had 35 dogs that ate 3/8 of a pound of food. On friday the 7th he had 27 dogs that ate 1/2 of a pound each. which friday did he need more food and how many more pounds
Answer:
the 7th
0.007805 or 59 / 756
Step-by-step explanation:
To determine the Friday that he needed more pounds, determine the number of pounds he needed per dog for each Friday.
to do this, divide the total pounds by the number of dogs
on the 14th
3/8 ÷ 35 =
3/8 x 1/35 = 3/280
on the 7th
1/2 ÷ 27 =
1/2 x 1/27 = 1/54
to determine which fraction is larger multiply each by 100 to determine its percent
3/280 x 100 = 1.071
1/54 x 100 = 1.852
1/54 is larger. Thus, more pounds was needed on Friday the 7th
the difference between these fractions should be determined
[tex]\frac{1}{54}[/tex] - [tex]\frac{3}{280}[/tex]
[tex]\frac{280 - 162}{1512}[/tex] = [tex]\frac{118}{1512}[/tex] = 59 / 756
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
x + 3y = -13
4x + 4y = -12
The solution is
Given:
The system of equations is:
[tex]x+3y=-13[/tex]
[tex]4x+4y=-12[/tex]
To find:
The solution for the given system of equations.
Solution:
We have,
[tex]x+3y=-13[/tex] ..(i)
[tex]4x+4y=-12[/tex] ...(ii)
Multiply equation (i) by 4, to make common coefficient of x.
[tex]4x+12y=-52[/tex] ..(iii)
Subtract (ii) from (iii).
[tex]4x+12y-4x-4y=-52-(-12)[/tex]
[tex]8y=-40[/tex]
[tex]y=\dfrac{-40}{8}[/tex]
[tex]y=-5[/tex]
Putting [tex]y=-5[/tex] in (i), we get
[tex]x+3(-5)=-13[/tex]
[tex]x-15=-13[/tex]
[tex]x=-13+15[/tex]
[tex]x=2[/tex]
Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].
.
Find the y-intercept of y - x = 7.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)
x+62=19 what is it help me now
Answer:
= − 4 3
Step-by-step explanation:
Answer:
x+62=19
x=19-62
x=-43
I hope this help
What is the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6
Answer: 2/3
Step-by-step explanation:
In the number cube, the possible numbers that can be gotten when it is rolled are 1, 2, 3, 4, 5 and 6.
We should note that when 2 or 4 is not rolled, there'll be 4 other numbers which can be rolled and they're 1, 3, 5 and 6.
Therefore, the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6 will be 4/6. This can be further reduced to 2/3
63 ⋅ 73 = 423 is this correct
Answer:
4599
Step-by-step explanation:
Answer:
i dont think so
i dont know what the dot means so i will give you answers for everything
Step-by-step explanation:
63 plus 73 is 136
63 minus 73 is 10
63 times 73 is 4599
63 divided by 73 is 1.158730158730159
so if the dot meant plus minus times or divide that that is wrong
please mark brainlyest it really helps
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
Tell which method you used plz 4x^2-15=66
Answer:
x = ±4.5
Step-by-step explanation:
4x² - 15 = 66
Add 15 to both sides.
4x² = 81
Divide both sides by 4.
x² = 20.25
Take the square root of both sides.
x = ±4.5
Hope this helps!
what is the Coefficient in
3x + 7
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is always the number next to the unknown or in this case, x