Of the 4/7 of Lucy‘s friend to have jobs 3/4 work in fast food what part of Lucy friends work in fast food

Answer:

∠1 = 117°, ∠2 = 63°

Step-by-step explanation:

∠1 = 117° , and ∠2 = 63° because 117° is supplementary to 63°

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

\(H_0: \mu = 2.5\)

At the alternative hypothesis, it is tested if it has increased, that is:

\(H_1: \mu > 2.5\)

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

For this problem, the values of the parameters are: \(\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}\)

\(z = 1.7\)

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of \(z^{\ast} = 1.645\)

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

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Answer:

rhombus has all angles=90 degress

Answer:

takai korokomi

Step-by-step explanation:

shimaki

Comparing only the mean distances, we would infer that Henry jogs for a longer distance than Carl.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

To calculate the mean in the context of this problem, we consider the same period of time.

As we are working with the same period of time and Henry has a larger mean, we can conclude that Henry jogs for a longer distance than Carl.

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The answer is C. The set of all symmetric 3 × 3 matrices is a subspace of M33.


To determine if a set of matrices is a subspace of M33, we need to check three conditions:
1. The set contains the zero matrix.
2. The set is closed under addition of its elements.
3. The set is closed under multiplication by other matrices in the set.
In this case, the set of all symmetric 3 × 3 matrices does contain the zero matrix (all diagonal entries are zero), and it is also closed under matrix addition (the sum of two symmetric matrices is also symmetric).

To check the third condition, we need to verify that if we multiply any symmetric matrix by another symmetric matrix, the result is also a symmetric matrix. This is indeed true, since the transpose of a product of matrices is the product of their transposes in reverse order: (AB)^T = B^T A^T. For any symmetric matrix A, we have A^T = A, so (AB)^T = B^T A^T = BA, which is also symmetric if B is symmetric.
Therefore, all three conditions are satisfied, and the set of all symmetric 3 × 3 matrices is indeed a subspace of M33.

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The perimeter of the rug is 37.2

The first line says that the rug is twice as long as its width. If the width is taken as w and length is taken as l, we get an equation l= 2w. Since it is a rectangle, the area of the rectangle will be (length*width) which is equal to l*w.

Since l=2w, area = 2w*w = 2w^2. This is given equally to 76.88.

2w^2 = 76.88

w^2 = 38.44

w = 6.2

l = 2w = 2*6.2 = 12.4

Now, perimeter of rectangle is 2w+2l = 2*6.2 + 2*12.4 = 37.2

Hence the perimeter of the rug is 37.2

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Answer:Total distance( miles ) covered by Jamal =21 2/3 miles

Step-by-step explanation:

Step 1

first trail = 8 1/3 miles long

2nd trail = 1 3/5 times as long as the first

Therefore the  distance walked in the  2nd trail is  1 3/5  x 8 1/3

changing to improper fraction and solving  

=8/5 x 25/3= 40/3

The distance hiked by Jamal in the second trail = 40/3=13 1/3

Step 2

Total distance( miles ) covered by Jamal = first trail +2nd trail

= 8 1/3 + 13 1/3 =21 2/3 miles

Answer:

21 2/3 miles

Step-by-step explanation:

First trail = 8 1/3 miles long

Second trail = 1 3/5 times as long as the first trail

= 1 3/5 × 8 1/3

= 8/5 × 25/3

= 40 / 3

= 13 1/3 miles

How many miles did Jamal hike?

Total miles hiked = First trail + Second trail

= 8 1/3 miles + 13 1/3 miles

= 25/3 + 40/3

= 25+40/3

= 65/3

= 21 2/3 miles

Jamal hiked 21 2/3 miles

Answer:

Chess board, arrow , kite , sign board

Step-by-step explanation:

A quadrilateral is a 2D shape which has 4 straight sides .

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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Answer:

x = 5

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

∠X is an inscribed angle and arc QRS is its intercepted arc.

arc QRC has a measure of 122 + 76 = 198

Therefore, m∠X = 1/2(198) = 96

So, 19x + 1 = 96

19x = 95

x = 5

A. f(x) = 4x - 2x² is not differentiable at x = 2.

B. The minimum value of f(x) on the domain [0, 3] is -6, and the maximum value is 2.

To show that the function f(x) = 4x - 2x² is not differentiable at x = 2 using the definition of the derivative, demonstrate that the limit of the difference quotient does not exist at x = 2.

(a) Using the definition of the derivative, the difference quotient is given by:

f'(x) = lim(h->0) [(f(x + h) - f(x))/h]

Calculate this difference quotient at x = 2:

f'(2) = lim(h->0) [(f(2 + h) - f(2))/h]

= lim(h->0) [(4(2 + h) - 2(2 + h)² - (4(2) - 2(2)²))/h]

= lim(h->0) [(8 + 4h - 2(4 + 4h + h²) - 8)/h]

= lim(h->0) [(8 + 4h - 8 - 8h - 2h² - 8)/h]

= lim(h->0) [(-2h² - 4h)/h]

= lim(h->0) [-2h - 4]

= -4

The result of the limit is a constant value (-4), which implies that the function is differentiable at x = 2. Therefore, f(x) = 4x - 2x² is not differentiable at x = 2.

(b) To prove that f attains a maximum and minimum value on its domain [0, 3], examine the critical points and the behavior of the function at the endpoints.

1. Critical Points:

To find the critical points, determine where the derivative f'(x) = 0 or does not exist.

f'(x) = 4 - 4x

Setting f'(x) = 0:

4 - 4x = 0

4x = 4

x = 1

The critical point is x = 1.

2. Endpoints:

Evaluate the function at the endpoints of the domain [0, 3]:

f(0) = 4(0) - 2(0)² = 0

f(3) = 4(3) - 2(3)² = 12 - 18 = -6

The minimum and maximum values will either occur at the critical point x = 1 or at the endpoints x = 0 and x = 3.

Compare the values:

f(0) = 0

f(1) = 4(1) - 2(1)² = 4 - 2 = 2

f(3) = -6

Therefore, the minimum value of f(x) on the domain [0, 3] is -6, and the maximum value is 2.

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Answer:

A, 1.8796

Step-by-step explanation:

First, convert everything to inches

6 × 12 = 72

72 + 2 = 74

Now, we convert the inches to centimeters

2.54 × 74 = 187.96

Next, we convert to meters

187.96 ÷ 100 = 1.8796

So, your answer would be A, 1.8796 meters

Have a great day!

Answer:

B.(x-y)(x+y)

Step-by-step explanation:

The factor of x² - y² can be represented by,

A.(x - y)²

INCORRECT:

Translated to (x - y)(x - y) as the exponent says it multiplied by it self

(x - y)(x - y) = x²- 2xy + y² which doesn't match

B.(x-y)(x+y)

Correct!

x times x =  x²

-y times y = -y²

x² - y²

C.(x+y)(x+y)

INCORRECT

x times x =  x²

y times y = y²

x² + y² which doesn't match as y positive here

D.2(x - y)

INCORRECT

distribute 2 so 2x - 2y which isn't the original

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The probability that the ball drawn out of the box is white is 5/11.

The probability that two balls drawn out of the box are both white is 2/11.

The probability that five balls drawn out of the box are all white is 1/462.

What is the probability?

The probability of drawing a white ball from the box can be found by dividing the number of white balls in the box by the total number of balls in the box:

= 5 / (5 + 6)

= 5/11

The probability of drawing two white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, given that the first ball drawn was white.

= 5/11 x 4/10

= 2/11

The probability of drawing five white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, and so on, for five draws in total.

= 5/11 x 4/10 x 3/9 x 2/8 x 1/7

= 1/462

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The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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All of the statements that could correctly describe the null hypothesis include the following:

B. We either reject or fail to reject it, we cannot say that we except it or that it is true.

D. It is developed for testing purposes.

In Statistics, hypothesis testing can be defined as a procedure based on sample evidence and probability to see if a hypothesis is a reasonable statement.

In Mathematics, a null hypothesis is denoted by the symbol H₀ and it can be defined the opposite of an alternate hypothesis (Ha). Additionally, a null hypothesis is a statistical interference technique which asserts that two (2) possibilities are the same.

Generally speaking, the characteristics of a null hypothesis include the following:

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Answer:

the answer is -23 OR -23/12

Step-by-step explanation:

The angle formed by the two sides is approximately 70.6 degrees. However, there is another possible angle which is the supplement of 70.6°, which is approximately 109.4°

To find the angle between two sides of a triangle with a given area, we will use the formula for the area of a triangle that is given as follows:

\($A = \frac{1}{2}bh$\)

Where

We know that two sides of the triangle are 8 inches and 10 inches, but we don't have the third side. Since we know that the area of the triangle is 16 square inches, we can use this information to find the height of the triangle. The height can be found by substituting a = 16, b = 10 and solving for h.

\(16 = \frac{1}{2}(10)(h)\\ 16 = 5h\\h = 3.2\)

Now we can use the Pythagorean Theorem to find the third side of the triangle. Mar c the hypotenuse. So

\($$c^2 = 8^2 + 3.2^2$$$$c^2 = 64 + 10.24$$$$c^2 = 74.24$$$$c = \sqrt{74, 24}$$$$c = 8.616$$\)

We have found the three sides of the triangle. Now we can use the Law of Cosines to find the angle between the two given sides. Let A be the angle opposite the 8-inch side, B the angle opposite the 10-inch side, and C the angle opposite the 8.616-inch side. The Law of Cosines is given by:

\($$c^2 = a^2 + b^2 - 2ab\cos C$$\)

Where a and b are the lengths of the sides opposite angles A and B, respectively. We want to find angle C, so we can rearrange the formula as follows:

\($$\cos C = \frac{a^2 + b^2 - c^2}{2ab}$$\)

Now we can substitute the values we know:

\($$\cos C = \frac{8^2 + 10^2 - 8.616^2}{2(8)(10)}$$$$\cos C \approx 0.3455$$$$C \approx 70.6 °$$\)

Therefore, the angle formed by the two sides is approximately 70.6 degrees. However, there is another possible angle which is the supplement of 70.6°, which is approximately 109.4°. This is because a triangle can have two possible solutions, since the sine function is periodic and has two solutions for the same value between 0 and 180 degrees.

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The solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

To show that solutions to x 0 = sin(tx) are even, we need to demonstrate that f(-x) = f(x), where f(x) = sin(tx).

First, let's evaluate f(-x):

f(-x) = sin(t(-x))

Using the property of sine function, we can rewrite this as:

f(-x) = -sin(tx)

Now let's evaluate f(x):

f(x) = sin(tx)

We can see that f(-x) = -f(x), which means that f(x) is an odd function.

However, we want to show that f(x) is an even function. To do this, we need to show that f(x) = f(-x).

Substituting the value of f(-x) in f(x) we get:

f(x) = -sin(tx)

f(-x) = -sin(tx)

We can see that f(x) = f(-x), which means that f(x) is an even function.

Therefore, we have shown that solutions to x 0 = sin(tx) are even.
Hi! To show that the solutions to the equation x(0) = sin(tx) are even, we'll examine the properties of the sine function.

Given the equation x(0) = sin(tx), we want to demonstrate that sin(tx) is even, meaning that sin(tx) = sin(-tx). This can be shown by using the properties of sine and even functions.

Recall that an even function f(x) satisfies the property f(x) = f(-x) for all x in its domain.

Now, consider the sine function sin(-tx). Using the oddness property of sine, we can rewrite this as sin(-tx) = -sin(tx). Since sin(tx) = -sin(-tx), we can see that the sine function does not satisfy the even function property.

Therefore, the solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

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Answer:

You could type 360 words in 12 minutes

Step-by-step explanation:

150/5=30

12*30=360

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer: parallelograms

Step-by-step explanation:

Thymus—Function 1; Pituitary—Function 2 is the correct to depict the function of the glands, thymus is associated with the immune system, hence option C is correct.

Thymus associated with the immune system, it reaches its peak size during adolescence.

The pituitary produces hormones needed for different bodily activities, including development.

The pituitary gland is known as the "master gland" because it uses hormones to monitor and control a variety of body functions. Growth and sexual development is the function of this gland.

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If you go three times faster than another car, it will take nine times longer to stop your car than the other car.

To understand why, we need to consider the physics of stopping a car. The distance required to stop a car depends on the car's speed and braking ability.

Assuming the braking ability is the same for both cars, we can use the equation:

distance = (speed)² / (2 * deceleration)

where deceleration is the rate at which the car slows down.

Since we are assuming that the other car and your car have the same deceleration, we can write:

We know that your car is going three times faster than the other car, so:

speed your car = 3 * speed other car

Substituting this into the equation for the distance of your car, we get:

distance your car = (3 * speed other car)²/ (2 * deceleration)

distance your car = 9 * (speed other car)² / (2 * deceleration)

Therefore, the distance required to stop your car is nine times greater than the distance required to stop the other car. Since the time to stop is directly proportional to the distance required to stop, it will also take nine times longer to stop your car than the other car.

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