A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 67. Let μ denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
(b) Let X denote the sample average compressive strength for n = 12 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). If X = 1340, find the P-value. (Round your answer to four decimal places.) P-value = 0.0193

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

Answer:

(3j) + (3m + 21)

Step-by-step explanation:

Since every time Jared goes running he runs 3 miles we should multiply j by 3. So we will have: 3j

Since every time Malia goes running she runs 3 miles we should multiply m by 3. So we will have 3m

But this month Jared ran an extra 21 miles so we will have to add that after we have multiplied both j and m by 3.

Since we want the total distance they ran that month, we need to add all of these distances.

This will give us 3j + 3m + 21.

In the answer options 3j is inside a parenthesis as well as 3m + 21. Since inside the parenthesis we only have addition and the order which we add doesn't really make a difference, the parenthesis were unnecessary but they won't affect the answer.

Answer:

its the first one

Step-by-step explanation:

Answer:

A. 15.8

Step-by-step explanation:

First the perimeter of a rectangle = 2 (L +W)

So; 46.4 = 2(L + 7.4)

46.4 = 2L + 14.8

2L = 46.4 - 14.8

2L = 31.6

L =15.8

Answer:

30 words per minute

Step-by-step explanation:

Take the number of words and divide by the number of minutes

150/5 = 30

300/10 =30

450/15 = 30

600/20 = 30

30 words per minute

Answer:

janae types 30 words each minutes.

Step-by-step explanation:

if 5minutes = 150 words

\(1 \: minute = \frac{150words}{5minutes} \)

\( = \: 30words\)

Answer:

f(-4) = -2

Step-by-step explanation:

To find f(-4) use the "piece" of the function rule defined for x < -3 (because -4 is less than -3).  That part of the rule says the output (range) value is x + 2, so f(-4) = -4 + 2 = -2.

Answer:

f(-4)=-2, f(4)=-4, f(0)=-4

Step-by-step explanation:

-4 is less than -3, so you would input it for that equation, your answer would be -2.

4 is greater than 1, so you would input it for that equation, your answer would be -4

0 is between -3 and 1, so you would input it for that equation, your answer would be -4

The equation y = -3x^2 + 12 has two real solutions. The equation y = 2x^2 - 6x + 5 has no real solutions. - The equation y = x^2 + 7x - 11 has two real solutions. The equation y = -x^2 - 8x - 16 has one real solution.

To determine the number of real solutions for each equation, we can analyze the discriminant of each quadratic equation. The discriminant is the expression under the square root in the quadratic formula (b^2 - 4ac), and it provides information about the nature and number of solutions.

1. Equation: y = -3x^2 + 12

  Discriminant: b^2 - 4ac = 0^2 - 4(-3)(12) = 0 - (-144) = 144

  Since the discriminant is positive (greater than 0), this equation has two distinct real solutions.

2. Equation: y = 2x^2 - 6x + 5

  Discriminant: b^2 - 4ac = (-6)^2 - 4(2)(5) = 36 - 40 = -4

  Since the discriminant is negative (less than 0), this equation has no real solutions.

3. Equation: y = x^2 + 7x - 11

  Discriminant: b^2 - 4ac = 7^2 - 4(1)(-11) = 49 + 44 = 93

  Since the discriminant is positive (greater than 0), this equation has two distinct real solutions.

4. Equation: y = -x^2 - 8x - 16

  Discriminant: b^2 - 4ac = (-8)^2 - 4(-1)(-16) = 64 - 64 = 0

  Since the discriminant is zero, this equation has one real solution (a repeated root).

To summarize:

- The equation y = -3x^2 + 12 has two real solutions.

- The equation y = 2x^2 - 6x + 5 has no real solutions.

- The equation y = x^2 + 7x - 11 has two real solutions.

- The equation y = -x^2 - 8x - 16 has one real solution.

Learn more about real solutions here

https://brainly.com/question/30188231

#SPJ11

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

\(75.0^{\circ}\)

Step-by-step explanation:

Let the angle of elevation be \(\theta\).

\(\tan \theta=\frac{320}{86} \\ \\ \theta=\tan^{-1} \left(\frac{320}{86} \right) \\ \\ \theta \approx 75.0^{\circ}\)

Answer:

2(√7-7√3)

Step-by-step explanation:

√28-16√3 +2√3

2√7-14√3

2(√7-7√3)

The two equations that represent a shift of the graph are  y=(x-12)³ and y=(x+8)³.

What is an equation?

Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.

The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.

=> y=(x-12)³

=> y=(x+8)³

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

To know more about equation visit:

https://brainly.com/question/19040584

#SPJ1

The correct function type for each situation:

1) A competition eliminates one-fourth of the participants per round. -  exponential

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping. -  linear

3) A tutor charges $40 per hour of tutoring. -  linear  

4) An animal population doubles every 3 months. - exponential

5) An electrician charges $125 per house call and then $65 per hour of work. -  linear

We know  that, in order to determine whether fundtion is linear or exponential we chaeck the relationships in the way the y-values change when the x-values increase by a constant amount:

In case of a linear function, the y-values have equal differences.

And in an exponential function, the y-values have equal ratios.

1) A competition eliminates one-fourth of the participants per round.  

This is an exponential function.

2) A pizzeria charges a base price for pizza and then $1.50 for each additional topping.

This situation could be modeled with a linear function.

3) A tutor charges $40 per hour of tutoring.

This situation could be modeled with a linear function.

4) An animal population doubles every 3 months.

This situation could be modeled with an exponential function.

5) An electrician charges $125 per house call and then $65 per hour of work.

This situation could be modeled with a linear function.

Learn more about the function here:

https://brainly.com/question/28193995

#SPJ1

Find the complete question below.

(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

To know more about z-score click here

brainly.com/question/31613365

#SPJ11

Answer:

620

Step-by-step explanation:

12-1=11

11x50

1x70

add the two totals and you should get 620

Hope this helps!

Answer:

\(5(x^3)^3-\frac{4x}{3}\)

Step-by-step explanation:

Let the number be x

Condition:

=> \(5(x^3)^3-\frac{4x}{3}\)

Answer:

\(5x^{9} - 4 x/3\)

Step-by-step explanation:

The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 can be written as:

\(5 \times (x^3)^3 - (4 \times x)/3\)

Multiply the terms.

\(5(x^3)^3 - 4x/3\)

Multiply the exponents.

\(5x^{3 \times 3} - 4 x/3\)

\(5x^{9} - 4 x/3\)

In the first part of the question, we are given a path defined by (sin(7t), cos(7t), 2t^(9/2)), and we need to find the equation of the tangent line to the path at t = 1. Using the point-slope form, we find the point of tangency as (sin(7), cos(7), 2) and the direction vector as (7 cos(7), -7 sin(7), 9).

Combining these, we obtain the equation of the tangent line as (x, y, z) = (sin(7), cos(7), 2) + (t - 1)(7 cos(7), -7 sin(7), 9).

In the second part, we have a helix defined by c(t) = (5 cos(t), 3 sin(t), t²), and we need to determine various properties. Firstly, we find the speed of the particle at t = 47 by calculating the magnitude of the derivative of c(t). Secondly, we check if c'(t) is ever orthogonal to c(t) by evaluating their dot product.

Thirdly, we find the parametrization of the tangent line to c(t) at t = 47 using the point-slope form. Lastly, we determine the intersection of the tangent line with the xy-plane by substituting z = 0 into the parametric equations.

To know more about magnitude, refer head :

https://brainly.com/question/31022175#

#SPJ11

The inherent zero is simply a zero. The three instances for both are-

The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.

Some key features of inherent zero are-

To know more about the inherent zero, here

https://brainly.com/question/18558553

#SPJ4

Answer:

-5

Step-by-step explanation:

25-3x=40

3x=25-40

3x=-15

x=-15/3

x=-5

Answer:

=−5

Step-by-step explanation:

1. Rearrange terms

25−3=40

−3+25=40

2. Subtract 25 from both sides of the equation

−3+25=40

−3+25−25=40−25

3. Simplify

If you subtract the numbers

−3=15

4. Divide both sides of the equation by the same term

−3=15

−3÷-3=15÷-3

5. Simplify

If you divide the numbers

=−5

And thats the answer

I hope this helped     :)

An object moving along a curve in the xy-plane has position (x(t), y(t)) with dx/dt = x(t) = \(\int\limits{4 - t^2} \, dt\) = 4t - \(\frac{6t^3}{3}\) + c = 4t - \(2t^3\) + c => x(1) = 7

A route of continually moving points is referred to in mathematics as a curve (see continuity). In most cases, equations provide such pathways. A straight line or a collection of end-to-end linked line segments may also be described using this term. An uninterrupted, sloping line without abrupt bends is referred to as a curve. Bending it at least once to reverse direction will allow you to identify it.

Arcs, sectors, and segments are examples of two-dimensional curved forms, as are circles, ellipses, parabolas, and hyperbolas. As opposed to this, three-dimensional curved forms include objects like spheres, cylinders, and cones.

An object moving along a curve in the xy-plane has position (x(t), y(t)) with dx/dt =

x(t) = \(\int\limits{4 - t^2} \, dt\) = 4t - \(\frac{6t^3}{3}\) + c = 4t - \(2t^3\) + c

x(1) = 7

To know more curve visit:
https://brainly.com/question/28793630

#SPJ4

The favourable outcomes are there between 1 and 25 and of multiples of 3 are 3, 9, 15 and 21.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query. There is a chance that it will rain or not. Here, probability can be used.

The number of favorable outcomes that are an odd multiple of 3 is 4.

It should be noted that from the numbers between 1 and 25, the multiples of 3 will be 3, 6, 9, 12, 15, 18, and 121.

Then, from the multiples of 3, we'll choose the odd multiples which are 3, 9, 15, 21.

Therefore, the odd multiples will be 4.

To learn more about Probability, Visit:

https://brainly.com/question/30034780

#SPJ4

The far that can it glide in terms of distance measured along the ground is 15,400 ft.

The length of the line segment connecting the two sites is used to measure the distance between them. The shortest line segment between a point and a line will be used to determine the distance between them.

Given that,

World War I Sopwith Camel was 7.7.

If the aircraft is in flight at 2000 ft when the engine fails.

Based on the above information, the calculation is as follows:

lift/drag = distance/height

7.7 = distance / 2000

So, the distance is 15,400 ft.

To know more about distance visit: brainly.com/question/15172156

#SPJ4

Answer:

  18.8 inches

Step-by-step explanation:

You want the length of arc traveled by the tip of a 4" minute hand moving from 1:30 pm to 2:15 pm.

The time difference between 2:15 and 1:30 is 45 minutes, or 3/4 hour. The minute hand moves through an angle of 2π radians in 1 hour, so will move through an angle of (3/4)(2π) = 3/2π radians in 3/4 hour.

The length of an arc is given by the formula ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

Here, we have r = 4 in, and θ = 3π/2. The arc length is ...

  s = (4 in)(3π/2) = 6π in ≈ 18.8496 in

The minute hand moves through an arc of about 18.8 inches from 1:30 to 2:15.

Answer:

A, D, E

Step-by-step explanation:

They all equal 0.7.

Answer: 1st, 3rd, and 5th.

Answer:

We suppose that a is the old price in cents

the total cost of 9.20 $ equals 920 cents

so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered

20 xa + 10 x (a + 2) = 920 (cents)

20 xa + 10 xa + 20 = 920

30 xa + 20 = 920

30 xa = 920 - 20

30 xa = 900

a = 900: 30

a = 30 (cents)

therefore the old price for 1 liter of petrol is 30 cents

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The solution of this system is (x, y) = (- 6, 2).

The endpoints of line segment AB and its midpoint are described by algebraic expressions. The following relationship between the endpoints and the midpoint is shown by the following formula:

M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)

(- 7 / 2, - 8) = 0.5 · (2 · x, y - 1) + 0.5 · (y + 3, 3 · x + 1)

(- 7 / 2, - 8) = (x, 0.5 · y - 0.5) + (0.5 · y + 1.5, 1.5 · x + 0.5)

(- 7 / 2, - 8) = (x + 0.5 · y + 1.5, 1.5 · x + 0.5 · y)

(x + 0.5 · y , 1.5 · x + 0.5 · y) = (- 5, - 8)

Which is equivalent to the following system of linear equations:

x + 0.5 · y = - 5

1.5 · x + 0.5 · y = - 8

The solution of this system is (x, y) = (- 6, 2).

To learn more on midpoints: https://brainly.com/question/28224145

#SPJ1

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

{(2,-1), (4, -2), (6, -3), (8, -4)}

Step-by-step explanation:

The other ordered pairs have a common domain value which means they are not a function.

For example:

{(5,7), (5,8), (10,3)} would not be a function because the 5 is repeating

However

{(2,6), (4,6), (22,7)} would be function because there are no numbers in the x part of the ordered pair that repeat. (x,y)

I hope you can see the pattern now

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

The required set for Au(BnC) is \(\{2,3,5,8\}\)

Given the following set A={2,3,5,8}, B= {3,5,7} and C= {2,4,8}

We are to find the following expression:

\(An(BuC)\)

First, we need to find BUC

BUC = {2, 3, 4, 5, 7, 8}

Taking the intersection between A and BUC, this is expressed as;

\(An(BuC)= \{2,3,5,8\}\)

Hence the required set for Au(BnC) is \(\{2,3,5,8\}\)

Learn more here: https://brainly.com/question/24341632

Answer:c

Step-by-step explanation: