PLS HELP
(Will give the brainliest)

Option b is correct.

Therefore, the probability that a state highway inspector would choose a sample of 49 trucks and discover that the sample mean was 14.3 tons or less is equal to  0.3758

Given: The population mean and standard deviation for the weight of trucks moving on a given stretch of I-475 are both tons.

n=49 sample size

Consider x to be the random variable that represents the truck weight.

z-score: z  = x - μ ÷ σ/\(\sqrt{n}\)

When x=14.3 tons

z = \(\frac{14.3 - 15.8}{\frac{4.2}{\sqrt{49} } }\)  ≈ -2.5

The likelihood that a state highway inspector will choose 49 trucks as a sample and discover that the sample mean is 14.3 tons or less is as follows:

P(X ≤ 14.3) = P(z < -2.5) = 0.3758

Therefore, the probability that a state highway inspector would choose a sample of 49 trucks and discover that the sample mean was 14.3 tons or less is equal to  0.3758

option b is correct.

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Slope of the line passes through the points (8,79.99) and (16,99.99) will be 2.5,here slope is positive means if the memory size of player will increase then the cost will increase too.

Slope of line:

                      The slope of a straight line is the ratio of the change in y to the change in x, generally denoted by m.

                   so for points (x1 , y1)  and  (x2 , y2)

                        slope(m)= (y2 - y1)/(x2 - x1) = rise/run

    Interpretation:- If slope is positive, the graph of a line rises from left to right. If slope is negative, the graph of the line falls from left to right.

given,

            costs  of 8-gigabyte video MP4 player is $79.99

            costs of 16-gigabyte video MP4 player is  $99.99

                   Points are (8,79.99) and (16,99.99)

slope for the given points will be,

                               m = (99.99 - 79.99)/(16 - 8)

                                   = 20/8

                                   = 5/2

                                   = 2.5

slope of the line will be  = 2.5

    here slope is positive means if the memory size of player will increase then the cost will increase too.

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Answer: 6 feet and 10 inches

Step-by-step explanation:

Each foot has 12 inches in it

You can either divide 82 by 12 or

1 foot: 12 inches

2 foot: 24 inches

3 foot: 36 inches

4 foot: 48 inches

5 foot: 60 inches

6 foot: 72 inches

7 foot: 84 inches

Since 7 foot is too much you can now take 6 feet (72 inches) and subtract it from 82

82-72=10

10 meaning 10 inches

6 feet and 10 inches

You may also divide but you will get a decimal like this:

6.83333333

Unit conversion is a way of converting some common units into another without changing their real value. The length of the table cloth is 6 ft 10 inches.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

In terms of measurement, one foot is 12 inches.

1 ft = 12 inches

Given that the table cloth is 82 inches long. Therefore, the length in feet and inches are,

Length = 82 inches

            = 82 / 12 foot

            = 6 10/12 foot

            = 6 ft 10 inches

Hence, the length of the table cloth is 6 ft 10 inches.

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The value of BC is 1.4

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Trigonometric ratio is mostly used in right triangle. Here are some of the function

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

In the triangle, taking angle 35 as reference point, AC is the adjascent and BC is the opposite to the angle.

Therefore;

represent BC by x

Tan 35 = x/2

x = tan35 × 2

x = 1.4

Therefore the value of BC is 1.4

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I'm sorry, but I cannot provide an answer without more information about the value of "C3". Can you please provide that information?
To evaluate the given expression 34^C3, we need to find the number of combinations of choosing 3 items from a set of 34 items. This can be calculated using the formula:

C(n, r) = n! / (r!(n-r)!)

Here, n = 34 and r = 3. Plugging the values into the formula, we get:

34^C3 = C(34, 3) = 34! / (3!(34-3)!)

= 34! / (3! * 31!)

= (34 * 33 * 32) / (3 * 2 * 1)

= 5984

So, 34^C3 = 5984.

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Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Given:

Equation of a line is

\(x-3y=-18\)

To find:

The slope of the line perpendicular to the given line.

Solution:

The slope of the equation \(ax+by=c\) is

\(Slope=-\dfrac{a}{b}\)

We have,

\(x-3y=-18\)

Here, a=1, b=-3. So, slope of this line is

\(m_1=-\dfrac{1}{-3}\)

\(m_1=\dfrac{1}{3}\)

Product of slopes of two perpendicular lines is -1.

Let slope of perpendicular line is \(m_2\).

\(m_1\cdot m_2=-1\)

\(\dfrac{1}{3}\cdot m_2=-1\)

\(m_2=-3\)

Therefore, the slope of the perpendicular line is -3.

The equation used to determine the value of the car ,v, after 5 years is V= 12500*4.5*5/100-D.

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

Given;

A car depreciates ( loses value ) at a rate of 4.5% annually

Greg purchased a car for 12,500

Time= 5years

Here, the depreciation is equal to the simple interest but in depreciation

So, Let the depreciation be D

D=P*R*T/100

D=12500*4.5*5/100

=2812.5

Now, value of car v;

V= 12500*4.5*5/100-D

Therefore, the equation will be V= 12500*4.5*5/100-D

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Answer:

0.35c

Step-by-step explanation:

Step 1: Write out expression

c - 0.57c - 0.08c

Step 2: Subtract

0.43c - 0.08c

Step 3: Subtract

0.35c

Answer:

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Step-by-step explanation:

Here is the equation for the graph of the cosine function.

y = A sin(B(x + C)) + D

A = amplitude

period is 2π/B

C = phase shift

D = vertical shift

Lets convert 1800° to Pi radians.

\(1800*\frac{\pi }{180}\)

\(180(10)*\frac{\pi }{180}\)

\(10*\frac{\pi }{180}\)

\(10\pi\) radians

A = 3

B=2π/ 10π  simplifies to \(\frac{1}{2}\)

C = phase shift

D = 4

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Answer:

40 daps

Step-by-step explanation:

lets say daps is d, yaps are y and baps are b

4d = 7y, 5y=3b

First convert to y

4/7d = y

Now convert that to b

5(4d/7) = 3b

20d / 7 = 3b

20d / 21 = b

Plug it in:

42(20d/21)

40d

aka 40 daps

The example of rational function is option(1) which is f(x)=3x²+1 over x-1

What is Rational Function ?

Hence, the example of rational function is option(1) which is f(x)=3x²+1 over x-1.

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Answer:

31.42

Step-by-step explanation:

radius= half diameter

circumfrence= 2pi*r

you would do pi times 5

Answer:

Step-by-step explanation:

(5, 3) is simply a single point on the coordinate plane, where x = 5 and y = 3.  It has no shape.

Answer:

x = -7

Step-by-step explanation:

Two parallel lines are lines that never intersect each other.

The y-axis can be written as x = 0.

Then if we want a parallel line to this one, it must be something like x = b

such that b ≠ 0.

Now we want that the distance between our line and the line x = 0 is 7 units to the left

(remember that the left is the negatie side of the axis)

then we can write:

b - 0 = -7

b = -7

The parallel line is x = -7

Answer:

b

Step-by-step explanation:

Answer:

w=41

Step-by-step explanation:

Add the 4 to both sides

w+(-4)=37

w=41

Answer:

company A since for 20 miles drive the rental is minus 20$ and in company B its more than 20. Evidently the same thing happens with 60 miles drive when in company A you have to pay 30$ and in company B 37$ Which is more expensive.

Answer:

B. Car company A because when you compare both companies at 60 miles

the cost is less than company B.

Angle 1 - 72 degrees

Angle 2 - 36 degrees

Angle 3 - 18 degrees

Angle 4 - 144 degrees

Hope this helped!

Answer: 804.25 yards3

Step-by-step explanation: : Explanation We have height (H) = 4 yards Diameter = 4x4 = 16, Radius (r) = 16/2 = 8, volume and cylinder V = nr2h. V= 3.14 x 8x8x4, V= 804.25 yards 3

Answer:

1. 11x

2. 5x+7

3. 5x+8

4. 8x+9y

5. x+8y+12

6. 12x+3y

7. 10a+7b+4

8. 19a+11

9. a+16b+10

10. 13a+9b+11

11. 12a+2b+24

12. 4a+3b+1

13. 8x+6

14. 11x+20

15. 4x+27

16. 11x+8y

17. 5x+3y+18

18. 7x+15y+30

19. 7x+7y

20. 5x+10y+33

21. 2x+7y+37

22. 9x+7y+9

23. x+2x+7+3x+1= 6x+8

24. 3x+x+x+5+x+5+2x+3= 8x+13

Step-by-step explanation:

Like variables can be added together and simplified.  Like variables are things like 2x and 4x.  They both have x.  This works for y,z, etc...

Answer: A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

System A :

-x - 2y = 7 ..........(1)

5x - 6y = -3 ..........(2)

If we multiply the first equation by 5, then we will get :

5(- x - 2y) = 5(7)

⇒ - 5x - 10y = 35 ........... (3)

Now the Sum of equation (2) and equation (3) is:

⇒ Sum :  

Now if we replace the second equation in system A with this  , then we will get the system B.

Solution of system B:

First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'

Now for solving 'x', we will plug y= -2 into the first equation

So, the solution of system B is (-3, -2), that means the solution of both systems are same.

Step-by-step explanation:

Answer: D:

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

The future value of a $4,779 deposit in year 1 and another $3,426 deposit at the end of year 4 using an 6 percent interest rate for 6 years is $13,418.31.

The formula for calculating the future value of an investment is:

FV = PV * (1 + r)ⁿ

where:

FV is the future value

PV is the present value

r is the interest rate

n is the number of years

In this case, the present value (PV) is $4,779 for year 1 and $3,426 for year 4. The interest rate (r) is 6%, and the number of years (n) is 6.

Plugging these values into the formula, we get:

FV = 4779 * (1 + 0.06)⁶ + 3426 * (1 + 0.06)²

FV = 13418.31

Therefore, using a 6 percent interest rate for a period of six years, the future value of a $4,779 deposit made in year one and a subsequent $3,426 deposit made at the end of year four is $13,418.31.

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Answer:

-2.43655

Step-by-step explanation:

Answer: A= pp popo

Step-by-step explanation:

Answer: a = 22

Step-by-step explanation:

(2a + 3) +(6a +1 ) = 180

8a + 4 = 180

     -4      -4

8a = 176

8       8

a = 22

They are supplementary angles, so they add up to 180 degrees.

If Clare streams a classical music station while doing chores, then probability that next piece will be a concerto is 2/11.

In order to calculate the probability that the next-piece Clare listens to will be a concerto, we count the number of concertos in the list of pieces she has already listened to and divide by the total number of pieces.

From the given list,

The total number of pieces of music = 11;

The number of concerto is = 2;

So, probability that next piece Clare listens to will be a concerto is:

⇒ P(concerto) = (number of concertos)/(total number of pieces);

⇒ 2/11

Therefore, the required probability is 2/11.

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The given question is incomplete, the complete question is

Clare streams a classical music station while she's doing chores on the weekends. here are the types of musical pieces she has listened to so far this weekend :

{overture, symphony, sonata, concerto, symphony, sonata, overture, symphony, opera, sonata, concerto}

Based on the data, What is the probability that the next piece Clare listens to will be a concerto?

The distance between T(9, -5) and the center of the circle with equation (x-6)²+(y+1)²=10 is 5 units. This can be arrived at by applying the distance formula. The formula for the distance between two points is d = √((x2 - x1)² + (y2 - y1)²).

The given circle's equation is (x - 6)² + (y + 1)² = 10. Hence, its center is at (6, -1).The formula for the distance between two points is d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) is the first point and (x2, y2) is the second point.Let T(9, -5) be point A and the center of the circle (6, -1) be point B.

The distance between two points A(x1, y1) and B(x2, y2) is d = √((x2 - x1)² + (y2 - y1)²).Therefore, the distance between T(9, -5) and the center of the circle with equation (x-6)²+(y+1)²=10 is: d = √((6 - 9)² + (-1 - (-5))²) = √(3² + 4²) = √25 = 5.

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The side x = 104 unit and angle y = 74 °

A quadrilateral is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length.

Rhombus, rectangle, and square are a few instances of parallelograms.

The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .

Given : A parallelogram ABCD.

Now in a parallelogram opposite sides are both equal and parallel.

So in this parallelogram ;

97 = x - 7

⇒ x = 97 + 7

⇒ x = 104 .

Also opposite angles of a parallelogram are equal.

⇒ y = 74 °

Thus the required solution is x= 104 degree and y= 74 degrees

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We know the rule

Given side

Sum:-

\(\\ \sf\longmapsto 565+489=1055\)

Difference

\(\\ \sf\longmapsto 565-489=76\)

Hence

The required range of the distance between Fort Peck Lake and Granite Peak is 76 < x < 1045 km.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Property of triangle states that. In a triangle, the sum of the two sides must be greater than the third side, and the difference between the two sides must be smaller than the third side.

So, the range of possible length for the distance between Fort Peck Lake and Granite Peak is given as,
565- 489 < x < 565 + 489
76 < x < 1045 km

Thus, the required range of the distance between Fort Peck Lake and Granite Peak is 76 < x < 1045 km.

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