you work for an application specific integrated circuit foundry. you're checking the wafer thickness. ideal wafer thickness is 246um, with a standard deviation of 3.60. a sample of 44 wafers shows a sample average of 245.05 um. how many standard deviations from the mean that the mean is the sample average for a hypothesis test to determine if the wafer thickness is within specification. express your answer accurate to two decimal places.

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28

Answer:

$14

Step-by-step explanation:

115-7x=17

98=7x

x=14

Answer:

[0.45(many 0's)1] through [0.459] repeating 9

Step-by-step explanation:

All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.

The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 0.45 and 0.46.

In order to write the numbers between them, write the given decimals up to 3 places as follows,

The numbers are 0.450 and 0.460.

The four decimals between them are as follows,

0.451, 0.452, 0.453, and 0.454.

Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.

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Answer:

13 hours

Step-by-step explanation:

65/5= 13

Answer:

13

65/10=x/2

ANSWER...

The Mean Value Theorem states that for a function f(x) that is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), there exists a value "c" in the open interval (a,b) such that:f'(c) = (f(b) - f(a))/(b-a).

So, if we have the function or equation, we can find the values of "c" using the above formula. However, since that information is not provided, we cannot answer that part of the question. Additionally, "pean" is not a known mathematical term.
To determine whether the Mean Value Theorem (MVT) can be applied to a function on the closed interval [a, b], we need to check two conditions:

1. The function is continuous on the closed interval [a, b].
2. The function is differentiable on the open interval (a, b).

Since the given function is f(x) = 11, it is a constant function. Constant functions are always continuous and differentiable on their domain, which means both conditions are satisfied.

Therefore, the Mean Value Theorem can be applied to f(x) = 11 on the closed interval [a, b].

According to the MVT, there exists at least one value 'c' in the open interval (a, b) such that:

f'(c) = (f(b) - f(a)) / (b - a)

So, the Mean Value Theorem can be applied, and there are infinitely many values of 'c' in the open interval (a, b) that satisfy the theorem, since f'(c) = 0 for all 'c'.

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Answer: F = 1575

Step-by-step explanation: 1221 + 354 = 1575. So 1575 - 354 = 1221

Answer:

F

Step-by-step explanation:

b = 3 5/8 × x < -- Times

x is a variable that uses for the representation of the number of pies

Example : 3 pies there

b = 3 5/8 × 3

therefore b = 5.625 pounds

Answer:

whats the question?

Step-by-step explanation:

The wholesale cost of bike is $96.15 and the price andre can buy after discount is $100

What is discount ?

An item's regular price is decreased when given a discount. A discount is frequently offered on them. 20% off is given to all full-time employees. Synonyms: cut, concession, cutback, decrease more words for "discount" the transitive verb.

The difference in price between the item's purchase price and par value is the discount. The cost price of a product can be reduced or subtracted in the form of a discount.

The cost of the bikes after the markup is $125. The markup was 30%. Assuming the wholesale price is x, the expression would be:

x + (x × 30%) = 125

x + 0.3x = 125

1.3x = 125

x = 125/1.3

x = $96.15

If Andre want to buy the bike at a discounted price of 20%, the price would be:

= Selling price x (1 - Discount rate)

= 125 x (1 - 20%)

= 125 x 0.8

= $100

In conclusion, the wholesale price was $96.15 and the amount Andre pays is $100.

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The number of elements in a set is the cardinal number of the set

Here the number starts from 1 and continues till 94. So there are 94 numbers. Thus, the cardinal number of the set (1,2,3....94) is 94. The cardinal number of an empty set is 0.

Answer:

Step-by-step explanation: I think it could be 5,0000

Answer:

Step-by-step explanation:

It looks much harder than it really is

Let the first number = 25

Let the second number = x

25 * x = 133600            divide both sides by 25

25*x/25 = 133600/25

x = 5344

Make sure the answer really is 133600 because the comma (one) should go before the 6.

The test statistic for this test is -0.213.

To test the hypothesis that two populations have the same mean, we can use a two-sample t-test. The test statistic for this test is calculated by taking the difference between the sample means and dividing it by the standard error of the difference.

In this case, the sample averages are 6 and 7, and the standard deviations for the two samples are 16 and 15, respectively. Both samples have 32 observations.

To calculate the test statistic, we first need to calculate the standard error of the difference. This is given by:

SE = sqrt[(s1^2/n1) + (s2^2/n2)]

where s1 and s2 are the standard deviations for the two samples, and n1 and n2 are the sample sizes. Plugging in the values we have, we get:

SE = sqrt[(16^2/32) + (15^2/32)]
  = 4.698

Next, we calculate the t-statistic:

t = (x1 - x2) / SE

where x1 and x2 are the sample means. Plugging in the values we have, we get:

t = (6 - 7) / 4.698
 = -0.213

The test statistic for this test is -0.213.

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Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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Answer:C

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

Bc i took the flvs test and got it right

The triangle ΔXAC formed by the angle bisectors is an isosceles triangle

The measure of m∠CXA is the option;

136°

Reason:

The given parameters are;

ΔABC = An isosceles triangle

BF, AD, and CE = Angle bisectors, intersect at X

m∠BCA = 44°

m∠XCF = m∠XCD Angles formed by angle bisector CE

We have;

m∠BCA = 44° = m∠XCF + m∠XCD; by angle addition Postulate

∴ 44° = m∠XCF + m∠XCF; by substitution property of equality

44° = 2 × m∠XCF

m∠EAF = m∠XAF + m∠XAE

m∠XAF = m∠XAE;  Angles formed by angle bisector AD

∴ m∠EAF = m∠XAF + m∠XAF

m∠EAF = 2 × m∠XAF

m∠EAF  = 44°; by base angles of isosceles triangle

m∠CXA + m∠XCF + m∠XAF = 180° Angle sum property of a triangle

m∠CXA = 180° - (m∠XCF + m∠XAF )

Which gives;

m∠CXA = 180° - (22° + 22°) = 136°

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After using translation the image of the given points will be at Q( 6 , 6 ) and  M( -2 , -11 ).

What is translation ?

The linear movement of a point relative to its initial position is known as translation. The horizontal position is labeled first and the vertical position is labeled second when describing a point's coordinates with respect to the origin of an x-y coordinate plane.

The translation is given to be (x,y) → (x + 1, y - 3)

The tow points are Q(5,9), M(-3,-8)

using translation  we get,

Q( 5 , 9 ) → (5 + 1, 9 - 3) = Q( 6 , 6 )

M( -3 , -8 ) → (-3+ 1, -8- 3) = M( -2 , -11 )

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Answer:

32.5

Step-by-step explanation:

Answer:

32 and a half

Step-by-step explanation:

If you divide 423 by 13, you get 32.538, meaning in order to get enough, shed half to fill the 13 cup half way up

Answer:

area = 15 units ^2

Step-by-step explanation:

you look at width times height (just count the blocks vertical and horizontal)

width = 3 units

height = 5 units

area = 15 units ^2

50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

Answer:

2 1/4

Step-by-step explanation:

-5 1/4- (-7 1/2)

to minus cancel each other out so it becomes a plus

-5 1/4 + 7 1/2

common dinomanater

-5 1/4 + 7 2/4

2 1/4

Answer:

The answer is C. $2.20 per lb

it is C 2.20 per pound

Step-by-step explanation:

because 2.20 x 5 = 11 hope

hope this helps

Answer:

7

Step-by-step explanation:

42/6=7

det(A)We have: det(A) = 1 * (-1)^{1 + 1} *

det(-1 17 -1 1 -1 1 1) - (-1)^{1 + 2} * 0 *

det(0 -1 1 1 1 0 1 1 -1) + 1 * (-1)^{1 + 3} *

det(-1 2 -1 1 1 0 1 1 0) = 1 *

(-34 - 0 - 0) = -34,

so the determinant of

A is -34.B) rank(A)We notice that R2 - R1 and R3 - R1 are in the span of R1, R4, R5, R6.So, rank(A) = 4.

A is invertible because its determinant is nonzero. E) A basis for row(A)A basis for the row space of

A is { (1, 0, -1, 17, -1, 1, -1, 1, 0, 1), (0, -1, 1, 1, 1, 0, 1, 1, -1, 0), (0, 0, 0, 0, 0, 0, 0, 0, 0, 0), (0, 0, 0, 0, 0, 0, 0, 0, 0, 0) }

(we see that the first 4 entries of A are linearly independent, and the last 6 entries are all 0).

F) A basis for col(A)A basis for the column space of

A is { (1, -1, -1, -1), (0, 1, 2, 1), (-1, 1, 0, 1),

(17, 1, 1, 0), (-1, 1, 1, 0), (1, 0, 0, 0),

(-1, 1, 1, 0), (1, 1, 0, 0),

(0, -1, 0, 1),

(1, 0, 0, 0) }

(we see that the first 7 columns of A are linearly independent, and the last 3 columns are all 0).G) A basis for null(A)A basis for the null space of A is { (-1, -1, 1, 1, 0, 0, 0, 0, 0, 0),

(2, -3, 0, 0, 1, 0, 0, 0, 0, 0),

(1, -1, 0, -1, 0, 1, 0, 0, 0, 0),

(-1, -1, 0, -1, 0, 0, 1, 0, 0, 0),

(-1, -1, 0, -1, 0, 0, 0, 1, 0, 0),

(1, 0, 0, 0, 0, 0, 0, 0, 1, 0),

(-1, -1, 0, -1, 0, 0, 0, 0, 0, 1) }

(we get this by solving the system Ax = 0). So we have,Det(A) = -34Rank(A) = 4

Trace(A) = 5A

is invertible because

det(A) != 0A basis for

row(A) = { (1, 0, -1, 17, -1, 1, -1, 1, 0, 1), (0, -1, 1, 1, 1, 0, 1, 1, -1, 0), (0, 0, 0, 0, 0, 0, 0, 0, 0, 0), (0, 0, 0, 0, 0, 0, 0, 0, 0, 0) }

A basis for

col(A) = { (1, -1, -1, -1),

(0, 1, 2, 1),

(-1, 1, 0, 1),

(17, 1, 1, 0),

(-1, 1, 1, 0), (

1, 0, 0, 0), (-1, 1, 1, 0), (1, 1, 0, 0),

(0, -1, 0, 1), (1, 0, 0, 0) }

A basis for null(A) = { (-1, -1, 1, 1, 0, 0, 0, 0, 0, 0),

(2, -3, 0, 0, 1, 0, 0, 0, 0, 0),

(1, -1, 0, -1, 0, 1, 0, 0, 0, 0),

(-1, -1, 0, -1, 0, 0, 1, 0, 0, 0),

(-1, -1, 0, -1, 0, 0, 0, 1, 0, 0),

(1, 0, 0, 0, 0, 0, 0, 0, 1, 0),

(-1, -1, 0, -1, 0, 0, 0, 0, 0, 1) }.

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Answer:

9.30

Step-by-step explanation:

Using SOHCAHTOA

tan=opposite/adjacent

tan25°=x/20

tan 25°=0.4663

0.4663=x/20

cross multiply

x=0.4663*20

x=9.326

to the nearest tenth=9.30

thsgs the best i can help but I think the line would be dashed not sure

Step-by-step explanation:

\(\tt 33-5(x-4)=3\)

\(\tt 33-5x+20=3\)

\(\tt 53-5x=3\)

\(\tt -5x=3-53\)

\(\tt 5x=50\)

\(\tt x=10\)

I hope it's helpful