i need help with this math hw

The variance of the sample means that is found in the sample distribution that we have here is 0.3333

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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Sathish will pay $64.8

When Satish is alone, kilometres:

Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total

When Satish is with friends, the total kilometres travelled is 2100 km:

And when Satish went alone he travelled 300 km

When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km

Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.

300 kilometres at 6 x 3 equals 18 litres.

So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.

So, 6 × 18 for 1800 kilometres is equal to 108 litres.

Gas prices when Satish is on his own:

$1.2 per litre

18 x $1.2 = $21.6

Gas prices when Satish is travelling with friends

$1.2 per litre

108 x 1.2 = $129.6

Cost for each friend = $129.6/3 = $43.2

Satish will pay: Cost when travelling with friends + Cost when travelling alone

=$43.2+ $21.6

=$64.8

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the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.

to determine if there is enough evidence to support the claim that the mean annual return is indeed greater than 3.6 percent or not.In hypothesis testing, the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.

In this case, the null hypothesis is that the mean annual return for the employee's IRA is at most 3.6 percent. It suggests that the true mean return is equal to or less than 3.6 percent. Mathematically, it can be represented as H0: μ ≤ 3.6, where μ represents the population mean.

The alternative hypothesis, Ha, contradicts the null hypothesis and asserts that the mean annual return is greater than 3.6 percent. It suggests that the true mean return is higher than 3.6 percent. It can be represented as Ha: μ > 3.6.

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The tangent line to y = f(x) at a point (a, f(a) ) has slope dy/dx at x = a. So first compute the derivative:

y = x² - 9x   →   dy/dx = 2x - 9

When x = 4, the function takes on a value of

y = 4² - 9•4 = -20

and the derivative is

dy/dx (4) = 2•4 - 9 = -1

Then use the point-slope formula to get the equation of the tangent line:

y - (-20) = -1 (x - 4)

y + 20 = -x + 4

y = -x - 24

The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is

y - (-20) = 1 (x - 4)

y + 20 = x - 4

y = x - 24

The solution of  sin²(x) - cos²(x) -sin(x) = 0 will be x = -π/4 + nπ, where n is an integer.

To solve the given equation sin²(x) - cos²(x) -sin(x) = 0, one can implement an identity referred to as trigonometric identity sin²(x) - cos²(x) = -cos(2x).

Substituting the given identity into the equation, we get:

-cos(2x) - sin(x) = 0

After rearranging the terms, one have:

-cos(2x) = sin(x)

Dividing both sides by cos(2x),

tan(x) = -1

To evaluate the values of x, solve this equation, one need to know the angles whose tangent is -1.

One such angle is -π/4, or -45 degrees.

We can multiply the angle by multiples of to find more solutions because we are aware that the tangent function has a period of π.

Therefore, the solutions for x can be expressed as:

x = -π/4 + nπ, where n is an integer.

Thus, these solutions represent the values of x that satisfy the given equation.

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Length of side of patio A = 12 yards

Area of patio A which is a square :

\( =\tt side \times side\)

\( =\tt 12 \times 12\)

\(\color{plum} = \tt144 \: {yards}^{2} \)

Thus, Area of patio A = 144 yards²

Length of side of patio B = 6.1 yards

Area of patio B which is a square :

\( =\tt side \times side\)

\( = \tt6.1 \times 6.1\)

\(\color{plum} = \tt37.21 \: {yards}^{2} \)

Length of side of the second patio B = 6.1 yards

Area of this patio :

\( =\tt 6.1 \times 6.1\)

\(\color{plum} = \tt37.21 \: yards\)

Total area of Patio B :

= Area of first patio B + Area of second patio B

\( =\tt 37.21 + 37.21\)

\(\color{plum} = \tt74.42 \: {yards}^{2} \)

Thus :

▪︎Area of patio A = 144 yards²

▪︎Area of patio B = 74.42 yards²

▪︎Therefore, the correct option is (a) 74.42

The image is then dilated by a scale factor of half with a center of dilation of (1, 2); Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

The coordinates of the vertices of the preimage will be;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image will be;

(-9, -2), (-2, -4), (-5, -10)

This is equivalent to a reflection about the origin, and a rotation of 180° clockwise or anticlockwise about the origin.

Part B: Figure 2 to Figure 5

The coordinate points of figure 2 will be;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 will be;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 will be;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 will be;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Thus, Figure 5 is Figure 2 dilated by a scale factor of 1/2(half )

Therefore, the given sides of Figure 2 and Figure 5 are rotated by 180°

1) The rotation of figure 2 by 180° about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) →   (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as;  

(9, -2), (5, -10), and (2, -4)  →   (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of half with a center of dilation of (1, 2);

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

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8×7=56

then subtract it from 100-56=44 so you lost 56 gallons in 8 minutes and there is 44 left.

a) x b) 1 c) 0 d) x , x ⊕ x ⊕ 0 → Since 0 is the neutral element of the XOR operator, it will not affect the result of the expression. Therefore, the expression simplifies to just x.

a) x ⊕ 0 → Since 0 is the neutral element of the XOR operator, it will not affect the value of x. Therefore, the expression simplifies to just x.

b) x ⊕ 1 → Since 1 is the identity element of the XOR operator, it will return the opposite of x. Therefore, the expression simplifies to just 1.

c) x ⊕ x → Since x ⊕ x is equivalent to x XORing itself, the result will be 0. Therefore, the expression simplifies to just 0.

d) x ⊕ x ⊕ 0 → Since 0 is the neutral element of the XOR operator, it will not affect the result of the expression. Therefore, the expression simplifies to just x.

a) x ⊕ 0 simplifies to just x.

b) x ⊕ 1 simplifies to just 1.

c) x ⊕ x simplifies to just 0.

d) x ⊕ x ⊕ 0 simplifies to just x.

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Answer:

angle A = 56.4

angle B = 52.6

AB = 26.1

After 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6

Using the formula for compound interest:

A = \(P(1 + \frac{r}{n} )^{nt}\)

Where:

A = the future amount (the amount Dan will owe after 9 years)

P = the principal amount (the initial borrowed amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = $8000

r = 18% = 0.18 (as a decimal)

n = 12 (monthly compounding)

t = 9 years

substitute the values into the formula:

A = \(8000(1 + \frac{0.18}{12} )^{12*9}\)

A = \(8000(1 + 0.015)^{108}\)

 = \(8000(1.015)^{108}\)

 = 8000(1.6487)

A = $13,189.6

Therefore, after 9 years with monthly compounding and no payments, Dan will owe approximately $13,189.6.

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The exponential function n(t) represents the number of smart phones remaining in the retail store after time t. To determine the function, we need to know the initial number of smart phones, the growth or decay rate, and the time interval.

In this case, the reseller receives a shipment of 250 smart phones, so the initial number of smart phones is 250. Let's assume that the decay rate is 10% per month. The exponential decay function can be represented as: n(t) = initial amount * (1 - decay rate)^t Substituting the values, we get: \(n(t) = 250 * (1 - 0.10)^t\)

To find the number of smart phones after a certain time, t, you can substitute the value of t into the equation. For example, if you want to find the number of smart phones after 3 months, substitute t = 3:
\(n(3) = 250 * (1 - 0.10)^3\) Simplifying this expression gives us the answer.

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This means that after 3 days, there would be approximately 10.82 smart phones remaining in the store using exponential function.

The exponential function n(t) can be used to model the number of smart phones remaining in the store over time. In this case, t represents time and n(t) represents the number of smart phones.

To solve this problem, we need to know the initial number of smart phones and the rate at which they are being sold. From the question, we know that the store received a shipment of 250 smart phones. This initial value can be represented as n(0) = 250.

Now, let's assume that the smart phones are being sold at a constant rate of 10 phones per day. This rate can be represented as a negative value since the number of phones is decreasing over time.

Therefore, the exponential function n(t) can be written as n(t) = \(250 * e^{(-10t)}\), where e is the base of the natural logarithm and t is the time in days.

For example, if we want to find the number of smart phones remaining after 3 days, we substitute t = 3 into the equation:

n(3) = \(250 * e^{(-10 * 3)}\)
     = \(250 * e^{(-30)}\)
     ≈ 10.82 phones (rounded to two decimal places)

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The weight of the contents in the container is 340 pounds

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units. Volume and the definition of length are related.

Given ,

volume of container = 20 x 8.5 x 8= 1360 cubic feet

weight = 0.25 pounds per cubic foot

0.25 x 1360 = 340 pounds

Therefore the weight of the contents in the container is 340 pounds

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Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

The inequality equation is y ≤ -2x + 1 and the graph is plotted

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y ≤ -2x + 1   be equation (1)

when the inequality is solved ,

y = -2x + 1 , where the slope of the line is m = -2

Therefore , the value of A is -2x + 1 and the graph is plotted

Hence , the inequality equation is y ≤ -2x + 1

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Answer:

Step-by-step explanation:

a. 0.04... 4/100... 0.04

b. 4.25... 4 25/100... 4.25

c. 4... 4/100... 0.04

Answer:

1a)0.0004; 1/2500

1b)0.0425; 17/400

1c)0.04; 1/25

2a)0.5; 50%

2b)0.8; 80%

2c) 3; 300%

3a)68.2%; 5/8

3b)0.45%; 9/2000

3c)170%; 17/10 or 1 7/10

Step-by-step explanation:

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

To find the slope of the line, you can use the formula for slope: slope = (y2 - y1)/(x2 - x1). In this case, you can rewrite the equation 2-y = 8x as y = 2 - 8x. This is the standard form of a line: y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

Since the equation of the line is already in standard form, you can find the slope by looking at the coefficient of the x term. In this case, the coefficient of the x term is -8, so the slope of the line is -8.

Alternatively, you can plug in the coordinates of two points on the line into the formula for slope to find the slope. For example, if you know that the line passes through the points (1, -14) and (2, -10), you can use these points to find the slope:

slope = (y2 - y1)/(x2 - x1) = (-10 - (-14))/(2 - 1) = (-10 + 14)/1 = 4/1 = 4

This method gives the same result as using the standard form of the equation.

Step-by-step explanation:

Answer:

2/10 + 7/10

9/10

Step-by-step explanation:

I did the test.

Answer:

The expression written in equivalent form with common denominators is

✔ 2/10 + 7/10

The sum is

✔ 9/10

Step-by-step explanation:

Answer:

1.643

Step-by-step explanation:

1.56 + 0.083

1.56 = 1.560

Starting from the digits the closest to the right, we do

0.003 + 0.000 = 0.003

0.08 + 0.06 = 0.14

so right now we have 0.143

0.0 + 0.5 = 0.5

so now we have 0.643 (because 0.1 + 0.5 = 0.6)

and finally 1 + 0 = 1

so we end with 1.643

The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ 1.56 + 0.083

Now, We can simplify as;

⇒ 1.56 + 0.083

Add as;

⇒ 1.643

Thus, The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

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Answer:

Step-by-step explanation:

true

Answer: x= -12

Step-by-step explanation: 1. I assumed that the system was actually two equations: x = 4-2y and x + 3y = 12.

2. From there I took the value of x in the first equation and placed it into the second equation to get 4 - 2y + 3y = 12

3. This gets us to 4 + y = 12 and thus y = 8.

4. Put that value back into the first equation and you have x = 4 - 2(8) = 4 - 16 = -12.

90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.

Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

No, a Norman window is not a semicircle above a rectangular window.

A Norman window, also known as a "Normandy window" or "Romanesque window," is a specific architectural feature that consists of a rounded arch at the top with a rectangular opening below it. It is characterized by its combination of curved and rectangular elements.

The top portion of a Norman window is indeed a semicircular arch, which reflects the influence of Romanesque architectural styles. The arch is typically constructed using stone or other masonry materials and adds a sense of grandeur and elegance to the window design.

The semicircular arch can vary in size and may feature intricate detailing or decorative elements.

Below the semicircular arch, a rectangular opening is incorporated, which is the main area for letting in light. The rectangular section is usually wider than the arch and can be divided into smaller sections by mullions or transoms.

The rectangular shape of the lower portion provides a practical and functional space for placing glass panes or other materials.

Overall, the combination of the semicircular arch and rectangular opening in a Norman window creates a visually appealing and harmonious design. It is a distinctive feature commonly found in architectural styles inspired by Romanesque and Norman traditions.

In summary, a Norman window consists of a semicircular arch at the top and a rectangular opening below it, rather than a semicircle above a rectangular window.

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The answer to your problem is 37.

Answer:

Step-by-Step

Step 1

Replace the variable 0 with 17π/6 in the expression

-csc (17π/6)

Step 2

Subtract full rotations 2π until the angle is greater than or equal to 0 and less than 2π

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

-csc (π/6)

Step 4

The exact value of csc (π/6) is 2

Step 5

Multiply -1 • 2

−2

Step-by-step explanation:

this should be the correct answer!

The area and perimeter of the given composite figure are respectively;

613.7 ft² and 99.1 ft

To get the area of the composite figure, we will find the area of each shape that makes it up.

Area of Parallelogram = base * height = 13 * 22

= 286 ft²

Area of big triangle = ¹/₂ * base * height

= ¹/₂ * 10 * 24

= 120 ft²

Area of semi circle = ¹/₂ * πr²

= ¹/₂ * π * (23/2)²

= 207.7 ft²

Total Area = 286 ft² + 120 ft² + 207.7 ft²

= 613.7 ft²

Circumference of semi circle = ¹/₂(2πr)

= ¹/₂ * π * 23

= 36.1 ft

Perimeter = 36.1 + 13 + 3 + 10 + 24 + 13

= 99.1 ft

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