Answer:
76
Step-by-step explanation:
4+4+4+4+4+4+8+8+18+18 = 76
How do you find the sector area of a circle?
Answer:
where's question.....
Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.
Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:
[tex]H_0: \mu = 1.5[/tex].
At the alternative hypothesis, it is tested if it is different, hence:
[tex]H_1: \mu \neq 1.5[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, their values are:
[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]
[tex]t = -1.672[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
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A person invests 6000 dollars in a bank. The bank pays 5.75% interest compounded daily. To the , how long must the person leave the money in the bank until it reaches 11600 dollars?
Answer:
x=11.5
Step-by-step explanation:
The school cafeteria sells several types of pies at lunch. Last week it sold 12 apple pies, 19 pumpkin pies, and 30 blueberry pies.Which of the following would increase the range of the total number of pies sold?
a) Sell 2 fewer apple pies b) Sell 2 more pumpkin pies
c) Sell 2 fewer blueberry pies d) Sell 2 more apple pies
Answer:
d)sell 2 more apple pies
Step-by-step explanation:
increasing 12 apple pies sold to 14 sold would increase the range.
A bag contains 6 yellow cubes, 14 red cubes, and 2 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.
i would be as likely to happen because there are more red cubes then any other cubes.
find the HCF of 447 577 669
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
What polynomial has quotient x2 + 6x – 4 when divided by x + 3?
Answer:
[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].
Step-by-step explanation:
Let [tex]p(x)[/tex] denote the polynomial in question.
The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:
[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].
Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:
[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].
Expand this expression to obtain:
[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].
А jeremiah is starting a running plan to train for a race. in the first week of his running plan, jeremiah will run 6 miles. the plan calls for jeremiah to increase his weekly milage by 2 miles every week. if jeremiah sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
At the 8th week Jeremiah will be running 24 miles to train for a race.
Word ProblemGiven Data
Starting distance = 6 milesWeekly increment = 2 milesThe rule for finding the mile for the 8th week is
Mile (n) = 6+2(n)
hence for n = 8
Mile (8) = 6+2(8)
Mile (8) = 6+16
Mile (8) = 24 miles
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Jessica has $40 to spend at the book fair. She buys 2 notebooks for $3 8. each and wants to spend the rest of her money on books. How many books can Jessica buy if each book costs $8? How much money does Jessica have left over?
Answer:
She can buy 4 books
Step-by-step explanation:
If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!
When a sphere has a volume of 7235.56, what is the radius of the sphere? Round to the nearest tenth. Use 3.14 for π.
Answer:
V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3
Step-by-step explanation:
jacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?
Answer:
the area of triangle formula is A = B*H / 2
so it means 16 square = (x+4) x /2
so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6
so x = -2 -6 = -8 or x= -2 +6 = 4
x must be positive so x = 4
Step-by-step explanation:
10) 192
11) 58
12 120
Which I’m guessing they want the angle that has those ??
Answer:
10: Reflex
11. Acute
12. Obtuse
Step-by-step explanation:
Reflex: Greater than 180 but less than 360
Acute: Less than 90
Obtuse: Greater than 90 and less than 180
Answer:
I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.
Step-by-step explanation:
Where is the first error made in the proof?
Answer: Step 4
Step-by-step explanation:
There is no equation to substitute into, the reason should be 'Pythagorean theorem'.
please help me and thank you :))))
Answer:
96
Step-by-step explanation:
Answer:
the answer of this question
is 96
A movie star's agent earns 11% of the star's monthly income. If the star's monthly income is $81,400 , how much will the agent earn?
The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.
How much will the agent earn?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
Agent's earnings = 11% x $81,400 =$8,954
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HELP PLEASE!!!
What is the slope of the line that is perpendicular to the line -12x = 35 - 5y?
Answer:
y = 12/5 = x + 7
hope this helped
lol
2x + 3y = 13
4x - y = -2
Answer:
Step-by-step explanation:
Solve the following system:
{3 y + 2 x = -2 | (equation 1)
{-y + 52 x = -2 | (equation 2)
Swap equation 1 with equation 2:
{52 x - y = -2 | (equation 1)
{2 x + 3 y = -2 | (equation 2)
Subtract 1/26 × (equation 1) from equation 2:
{52 x - y = -2 | (equation 1)
{0 x + (79 y)/26 = -25/13 | (equation 2)
Multiply equation 2 by 26:
{52 x - y = -2 | (equation 1)
{0 x + 79 y = -50 | (equation 2)
Divide equation 2 by 79:
{52 x - y = -2 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Add equation 2 to equation 1:
{52 x + 0 y = -208/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Divide equation 1 by 52:
{x + 0 y = -4/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Collect results:
Answer: {x = -4/79, y=-50/79
How many different plates can be made with 2 vowels and a digit?
============================================================
Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
Mark chose two cards randomly from a deck. What is the probabity of getting an Ace or King?
Answer:
50/50
Step-by-step explanation:
Answer:
depends on how many there are in a deck. But going from the usual, it would be 2/52
Step-by-step explanation:
(52 is how many cards there are, if theres a different amount then change it to that)
help please! it’s Geometry
What are the following factors of x² - 6x +8
1) 1, 8
2) 4,2
3) -4, -2
4) -1, -8
This question will help me get ready for high school.
Answer:
2) 4,2
Step-by-step explanation:
Factor by grouping:
[tex]x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)[/tex]
Setting the expression equal to 0 and using the Zero Product Property, [tex]x=2[/tex] and [tex]x=4[/tex], which are the factors of the original polynomial.
Answer:
The factors are x-2 and x-4.
Step-by-step explanation:
x^2 - 6x + 8
= (x - 2)(x - 4)
A rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
Need help ASAP! WILL GIVE BRAINLIEST!
Answer:
see explanation
Step-by-step explanation:
45,612 × [tex]\frac{1}{2}[/tex] = 22,806
Thus Beth sold half the number of books that Rodney sold
(4)
[tex]\frac{1}{2}[/tex] × 2,175 = 1,087.5 < 2,175
need answer please (distributive law) grade 9 mathematics
Answer:
SEE ABOVE ATTACHMENT. MARK AS BRAINLIASTAnswer:
[tex]7 {x}^{2} + 19x - 8 \\[/tex]
Step-by-step explanation:
[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]
A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?
Answer:
280 Cubes
Explanation:
This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.
5,5/2,5/4 find the ninth term
Answer:
T9 = 5/256
Step-by-step explanation:
This is a geometric progressionYou can tell it by looking at the pattern of the progression whether each term +- or ×÷.
From the question,
First term, a = 5
Common ratio, r = (5/2)/5 = ½
n = 9
Using the formula for nth term of a geometric progression,
[tex] t_{n} = a {r}^{n - 1} [/tex]
T9 = 5(½)^(9-1)
= 5/256
Which two expressions are equivalent?
29
А
x + x + x and x3
B
14x + 10 - 2x and 16x + 10
C
12x + 16x and 4(3x + 4x)
D
12x2 + 5x + 10 and 17x2 + 10
Answer:
[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]
Step-by-step explanation:
[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent this situation
The exponential function that represents the future value of the investment is $300(1.04)^t.
What is the exponential function?
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$300(1.04)^t.
Where t represents number of years
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someone help me please
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
x² - 6x = 8
Add 9 on both sides, then we have
x² - 6x + 9 = 8 + 9
(x - 3)² = 17
The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.
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I need help giving crown
Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
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