Answer:
Points at (0,0) and (4,-1)
Step-by-step explanation:
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
Which expression shows a way to find 25% of 1000?
Answer:250
Step-by-step explanation:
25% of 1000
25/100 x1000
(25 x 1000)/100
25000/100=250
Which of these quadrilaterals are rectangles?
Answer:Parallelogram, rhombus ,square
Step-by-step explanation:
Suppose a 3x6 coefficient matrix for a system has three pivot columns. Is the system consistent? Why or why not? Choose the correct answer below. A. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, could have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ], so the system could be inconsistent. B. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have seven columns, must have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ], so the system is inconsistent. C. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [Start 1 By 7 Matrix 1st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 6st Column 0 7st Column 1 EndMatrix ], so the system is consiste
Answer:
Check the explanation
Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.
A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle
Answer:
it is one square
Step-by-step explanation:
in the middle is room for one but anywhere else isn't
If
f(x) = -4x + 8 and
g(x) = √ x – 1, which statement is true?
Answer:
-3 is not in the domain of f°g
Step-by-step explanation:
f°g=f(g(x))
f(x) = -4(√x-1)+8
*Remember that √x-1 has to be larger than 0
since √-3-1 = √-4, -3 is not in the domain of f°g
What is more 7 9/10 or 7 4/5?
Answer:
7 9/10
Step-by-step explanation:
The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1) What number should go in place of n to find the area of the triangle?
Answer:
Step-by-step explanation:
4.5
Answer:
4.5
Step-by-step explanation:
i did the test
how do i factor the "common factor out of each expression?" ex:
12n^6 + 27n^2 - 18
whoever answers correct/ first ill give brainliest
Answer:
Step-by-step explanation:
A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.
Here we start with the expression 12n^6 + 27n^2 - 18. 'n' does not show up in every term and thus could not be a "common factor" of this expression. On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.
12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)
1) Identify the common factor (here it's 3)
2) Factor that out of the given expression: 3(4n^6 + 9n^2 - 6)
Solve equations using structure
You might need:
Calculator
Let m = x2 + 3.
Which equation is equivalent to (x2 + 3)2 + 7x2 + 21 =
10 in terms of m?
Answer: [tex]9m=10[/tex] or [tex]m=\frac{10}{9}[/tex]
I don't know your options... but you can check my work below and see if any of the other options fit yours.
Step-by-step explanation:
[tex](x^2 + 3)2 + 7x^2 + 21 =10[/tex]
If [tex]x^2+3=m[/tex], we can rewrite this as;
[tex](m)2+7x^2+21=10\\2m+7x^2+21=10[/tex]
By grouping, we can factor another m.
[tex]2m+(7x^2+21)=10[/tex]
Factor a 7.
[tex]2m+7(x^2+3)=10[/tex]
Rewrite it in terms of m.
[tex]2m+7m=10[/tex]
Combine like terms;
[tex]9m=10[/tex]
Divide by 9
[tex]m=\frac{10}{9}[/tex]
On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea
Identify the population
Identify the parameter
Identify the sample
Identify the statistic
Answer:
i) The bottles of iced tea filled in a plant is the Population
ii) The Average of Population μ = 20 is called Parameter
iii) The sample size 'n' = 50
iv) The mean of the sample 'x⁻ = 19.6 ounces
Step-by-step explanation:-
Population:-
The total number of observations which we are concerned , whether this number be finite or infinite is called Population.
In Given data
The bottles of iced tea filled in a plant is the Population
Parameter:-
The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.
The Average of Population μ = 20 is called Parameter
Sample:-
A sample is a subset of population
given data sample size n=50 bottles at random from the days of production
Statistics
The sample mean x⁻ and variance S² is called statistics
Given data
These bottles contained an average of 19.6 ounces of iced tea
x⁻ = 19.6 ounces
At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365 tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.
if Logan(3)=5, what is the value of a^5?
Answer:
[tex]a^5=3[/tex]
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
[tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]
Here, it means ...
[tex]\boxed{a^5=3}[/tex]
Answer:
[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]
Step-by-step explanation:
[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]
1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6
Answer:
1/6
Step-by-step explanation:
3/6 for even 3/6*2/6-----1/2*1/3
-6•f (-3) - 5•g (-7) =
please help.
Answer:
-12
Step-by-step explanation:
The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.
The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.
Putting these numbers into your expression gives ...
-6(-3) -5(6) = 18 -30 = -12
Find the area of the regular polygon.
Round your answer to the
nearest tenth if necessary.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the dimension of the polygon is not given.
However, I'll give a general explanation of how to calculate the area of a regular polygon.
If you follow these simple steps, you'll arrive at your answer.
The area of a polygon is calculated as thus;
A = ½(nbh)
Where A represent the area
n represents the number of sides
b represents the length of the base
h represent the height of the polygon
Take for instance, the polygon is a regular pentagon.
This means n = 5.
Also assume that the base and the height are 5cm and 7cm respectively.
This means that
Area = ½ * (5 * 5 * 7)
Area = ½ * 175
Area = 87.5cm²
Hence, the area of the polygon is 87.5cm²
14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000
Answer:
11,040 is the answer
Step-by-step explanation:
you just need to subtract
There are 36,960 people were supporting the home team.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At the college football game there were 48,000 people.
If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.
x/ 48000 = 77/ 100
here plugging in all our numbers gives us .
x = (77/ 100)48000
x = 36,960
Therefore, There are 36,960 people were supporting the home team.
Learn more about percentages;
https://brainly.com/question/13450942
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Brainliest to whoever gets this CORRECT.
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
Add 43 to each side
-13+43 > x-43+43
30 > x
877+100=__+258help me
Answer:
719 = x
Step-by-step explanation:
877+100=_x_+258
Combine like terms
977 = x+258
Subtract 258
977 -258 = x+258-258
719 = x
fourteen less then the product of five and nine in numerical expression
pls help
Answer:
( 5 x 9 ) - 14
Which equals 31
Answer:
31
Step-by-step explanation:
5 x 9- 14 is 31
The sum of two consecutive even integers is 186. What are the two numbers?
Answer: 92 and 94
Step-by-step explanation:
x = first number
x + 2 = second number
x + x + 2 = 186
simplify
2x + 2 = 186
subtract 2 from both sides
2x = 184
divide both sides by 2
x = 92
92 + 2 = 94
The numbers are 92 and 94.
Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even integers here.
Any 2 consecutive even integers can be represented as x + x + 2.
So we can represent our integers as follows.
X ⇒ first integer
X + 2 ⇒ second integer
Since their sum is 168, our equation reads x + x + 2 = 186.
Simplifying on the left side gives us 2x + 2 = 186.
Now subtract 2 from both sides to get 2x = 184.
Now divide both sides by 2 and we find that x = 92.
If x = 92, then x + 2 will be 92 + 2 or 94.
So our two consecutive integers are 92 and 94.
568,924,126 each digit stands for what
Answer:
500,000,00060,000,0008,000,000900,00020,0004,000100206Step-by-step explanation:
To find what a digit stands for, make all the other digits zero.
This is substantially what we do when we write the number in "expanded form."
568,924,126
= 500,000,000 +60,000,000 +8,000,000 +900,000 +20,000 +4,000 ...
... +100 +20 +6
The list of numbers in the sum is the list of numbers the digits stand for.
Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represents the situation if j represents the number of hits Jason had?
46 minus 20 less-than 2 j
2 j minus 20 less-than-or-equal-to 46
46 minus 20 less-than-or-equal-to 2 j
2 j minus 20 greater-than-or-equal-to 46
Answer:
2j -20 ≤ 46
Step-by-step explanation:
"20 less than double the number Jason [hit]" can be represented by 2j-20.
We are told that 46 is no fewer than this value, so it is greater than or equal to this value:
46 ≥ 2j -20
2j -20 ≤ 46 . . . . . swapping sides to match answer choices
Answer:
2j -20 ≤ 46
Step-by-step explanation:
Mrs. McAlister wrote the equation 10t-4t+3t=8 on the board and asked students to write equivalent equations.
As we solve we generate a succession of equivalent equations.
10t - 4t + 3t = 8
9t = 8
t = 8/9
Answer:
10t-4t+3t=8
t (10-4+3)=8
t (9)=8
9t=8
t=8/9
Step-by-step explanation:
In the question stated above, the common factor amongst the numbers with the variables is t, therefore we factorise the t out of the numbers, hence leaving t outside the bracket. After we solve the equation of the simple numbers of which the product is 9. After this we already know the 9 is to be multiplied by the t to make it 9t=8. We divide both side by the 9 and get a result of t=8/9
Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume
can someone please answer this fast, ty
Answer:
13p
Step-by-step explanation:
12p+p
Factor out the p
p(12+1)
p (13)
13p
help help help help
Answer:
It isn't 100
(0.5 is 1/2)
2/0.5=4
50x4=200
Hope this helps
Step-by-step explanation:
For the arithmetic sequence beginning with the terms {9, 14, 19, 24, 29, 34 ...}, what is the sum of the first 23 terms?
Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
You roll a number cube numbered from 1 to 6. What is the probability that the number is 3?
Answer:
1/6
Step-by-step explanation:
because there is only one number 3 there is a 1/6 chance of you getting a 3
