Which of the following does not come from domesticated animals?
a. milk from cows, sheep, and goats
c. fertilizer to help crops grow better
b. labor to pull the plows
d. furs for shelter and warmth

The probability that someone is driving slower than 20 mph on the 405 freeway is approximately 7.08%.

We are given that the average speed on the 405 freeway is 42 mph and is normally distributed with a standard deviation of 15 mph.

To solve this problem, we need to use the standard normal distribution since we are given the mean and standard deviation of the speed on the 405 freeway.

We know that

\(Z=\frac{X-\mu}{\sigma}\)

Here, X = 20

\(\mu=42\)

\(\sigma=15\)

Z=(20-42)/15

Z=-22/15

Z=-1.47

Using a standard normal distribution table

P(Z<-1.47)=0.0708

or 7.08%

Therefore, the probability that someone is driving slower than 20 mph on the 405 freeway is approximately 0.0708 or 7.08%.

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Answer:

A.) 1.2

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

1/6 * 1/6 * 1/6

1/216

Answer:

a = 6

Step-by-step explanation:

The final height of the water after the student places a sphere of radius 3cm in a beaker of radius 4cm where the initial height of the water was 12cm is 14.25cm.

Therefore the answer is 14.25cm.

The volume of a sphere of radius r = 3cm is given by

Vs = 4/3 × π × r³

Vs = 4/3 × π × 3³

Vs = 36π cm³

Now the volume of water inside a beaker of radius r' = 4cm and initial height of the water h = 12cm is given by

Vi = πr'²h

Vi = π × 4² × 12

Vi = 192π cm³

Let the final height of water after the student places the sphere in the beaker be H then

Vi = πr'²H - Vs

192π = π × 4² × H - 36π

Therefore H = (192 + 36)/ 16

H = 14.25cm

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Answer:

386% is the 1 3/4 and the other is 239% I think?

Step-by-step explanation:    

The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is 0.000154%.

Dealing 5 cards from a standard 52-card deck constitutes a specific type of event that can be explained using probability.

In order to calculate the probability of being dealt a 9, 10, jack, queen, king, all in the same suit, it is important to know the different card combinations that can occur during the experiment.
There are four suits in a standard 52-card deck: hearts, clubs, diamonds, and spades. Each suit has 13 cards, which are numbered 2 to 10, plus the ace, king, queen, and jack.
The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is calculated using the following formula:
Number of ways to get a 9, 10, jack, queen, king, all in the same suit / Total number of possible 5-card hands
The number of ways to get a 9, 10, jack, queen, king, all in the same suit is calculated as follows:
There are 4 suits, and we need all five cards to be in the same suit. Therefore, there are 4 ways to choose the suit for the hand.
Once the suit is chosen, there are only 1 possible combination of cards that includes the 9, 10, jack, queen, and king.

Therefore, there is only 1 way to choose the actual cards for the hand.
The total number of possible 5-card hands is calculated using the formula:
52C5 = (52!)/((52-5)!5!) = 2,598,960
Therefore, the probability of being dealt a 9, 10, jack, queen, king, all in the same suit is:
4*1 / 2,598,960 = 0.000154%

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Answer: C) 25%

Step-by-step explanation:

Upon drafting an equation based on the information provided and solving it, it is concluded that Steph earns £36 by selling the plain scones.

An equation is a combination of numbers, variables, functions, or often symbols according to a peculiar rule. It consists of expressions and equality sign(=).

Let's assume that Steph earns x from selling cheese scones then she earns 4x from selling fruit scones and 3x from selling plain scones.

The total amount she earns by selling all the scones is 96.

So,

x + 4x + 3x = 96

8x = 96

x = \(\frac{96}{8}\)

x = 12

The amount she earns by selling plain scones = 3 × 12 = 36.

So, she makes £36 by selling the plain scones.

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We have proved that logb(x a ) = a logb x when b = 1 and x > 0.

Now, to prove the statement logb(x a ) = a logb x when b = 1 and x > 0, we can start by using the definition of logarithms:
logb(x) = y  if and only if b^y = x

Using this definition, we can rewrite the left-hand side of the statement as:
log1(x a) = y

Since the base is 1, we know that 1^y = 1 for any value of y.

Therefore, we have:
1^y = x a

Simplifying, we get:
1 = x a

Now, let's look at the right-hand side of the statement:
a log1(x) = z

Again, since the base is 1, we know that 1^z = 1 for any value of z.

Therefore, we have:
1^z = x

Putting it all together, we have:
1 = x a = (1^z) a = 1^za = 1

This shows that both sides of the statement evaluate to the same value (in this case, 1), so we can conclude that:
log1(x a) = a log1(x)

And since log1(x) is just 0 for any positive value of x, we can simplify further:
log1(x a) = a(0)
log1(x a) = 0

Therefore, we have proved that logb(x a ) = a logb x when b = 1 and x > 0.

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Answer:

15x

Step-by-step explanation:

The ending inventory amount is p68,000: (200 x 65) + (300 x 68) + (150 x 70) - (500 x 68) = 68,000.

1. Calculate the total cost of the beginning inventory: 200 units x p65 = p13,000

2. Calculate the total cost of the first purchase: 300 units x p68 = p20,400

3. Calculate the total cost of the second purchase: 150 units x p70 = p10,500

4. Calculate the total cost of the units sold: 500 units x p68 = p34,000

5. Calculate the total cost of the ending inventory amount : (13,000 + 20,400 + 10,500) - 34,000 = p68,000

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Step-by-step explanation:

the easiest way in this situation is for me the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle.

therefore, we know the angle of the bottom-left corner : 90 degrees.

the upper angle is 90-10 = 80 degrees.

and the bottom-right angle is then therefore 10 degrees.

remember that the sum of all angles in a triangle is always 180 degrees.

so, we have

x/sin(90) = x/1 = x = 500/sin(10) = 500/0.173648178... =

= 2,879.385242 ≈ 2,879.4 m

Answer:

The answer is a. cos2x - sin2x - sin x. Use the rule: cos2x = (cos^2)x - (sin^2)x. So, substitute cos2x in the expression: cos2x - sinx = ((cos^2)x - (sin^2)x) - sinx = (cos^2)x - (sin^2)x - sinx. Therefore, choice a. is correct choice.

Answer:

what does this say?

Step-by-step explanation:

Answer: if you're just going to post stupld stuff then just don't ask it

Step-by-step explanation:

Answer:

X= Y/200 - 3/2

Step-by-step explanation:

Answer:

Equation: \(4^2+b^2=17^2\)

can also be simplified to 16 + b^2 = 289 or b^2 = 273

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\(2.)~Calculate~6^7:\)

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The curvature of the curve r(t) = (3 cos(5t), 3 sin(5t), 5t) at the point

t = 0 is approximately 4.85.

To find the curvature of the curve given by r(t) = (3 cos(5t), 3 sin(5t), 5t) at the point t = 0, we need to calculate the curvature κ using the formula:

κ = |T'(t)| / |r'(t)|,

where T(t) is the unit tangent vector and r(t) is the position vector.

First, we calculate the derivatives of r(t):

r'(t) = (-15 sin(5t), 15 cos(5t), 5).

Next, we find the magnitude of r'(t):

|r'(t)| = √((-15 sin(5t))² + (15 cos(5t))²  + 5² ) = √(225 + 225 + 25) = √475 ≈ 21.79.

Then, we calculate the second derivative of r(t):

r''(t) = (-75 cos(5t), -75 sin(5t), 0).

Next, we find the magnitude of r''(t):

|r''(t)| = √((-75 cos(5t))²  + (-75 sin(5t))²  + 0² ) = √(5625 + 5625) = √11250 = 105.83.

Finally, we calculate the curvature:

κ = |T'(t)| / |r'(t)| = |r''(t)| / |r'(t)| = 105.83 / 21.79 ≈ 4.85 (rounded to two decimal places).

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Answer: .......

ok done. Thank to me :>

Answer:

15 x 5 would come first

Step-by-step explanation:

PEMDAS

first you do parenthesis, and then multiplication so you would do the multiplication inside of the ( ) first !

Answer:

if your doing PEMDAS then do parentheses but if your not then multiply first.

the answer is: 237

Step-by-step explanation:

Answer:

5.988

Step-by-step explanation:

_9.687

3.699

=5.988

The difference is quite small, the effect was statistically significant. the explanation is that the sample size is very large.

As per the given data:

An engineer designs an improved light bulb.

The previous design had an average lifetime of 1200 hours.

The new bulb had a lifetime of 1201 hours, using a sample of 2000 bulbs.

Let us assume the null and alternative hypothesis

Null: The average lifespan of old and new designs is the same.

Alternative: The lifespans of new and ancient designs differ.

Because of the huge sample size, the p-value is lower. Reject the null hypothesis as a result, and the effect is now considered statistically significant.

Although the difference between 1200 hours and 1201 hours is quite tiny, the effect was statistically significant because of the high sample size.

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An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The new bulb has a lifetime of 1201 hours, using a sample of 2000 bulbs. Although the difference is quite small, the effect is statistically significant. The explanation is:

(a) that new designs typically have more variability than standard designs.

(b) that the sample size is very large.

(c) that the mean of 1200 is large.

(d) all of the above.

Answer:

y = -1/2x + 3

Step-by-step explanation:

+3 is the y intercept and -1/2x is the slope (rise over run)

Yes, the given transformation is found to be  linear.

To determine if a transformation is linear, we need to check two conditions: preservation of addition and preservation of scalar multiplication.

For the preservation of addition, let's consider two arbitrary vectors u and v in R^2.

The transformation Lwt translates each vector up by 3 units.

Therefore,

Lwt(u+v) = (u+v) + (3,3)

= (u + (3,3)) + (v + (3,3))

= Lwt(u) + Lwt(v).

For the preservation of scalar multiplication, let's consider an arbitrary vector u in R^2 and a scalar c. The transformation Lwt translates the vector u up by 3 units.

Therefore,

Lwt(cu) = cu + (3,3)

= c(u + (3,3))

= cLwt(u).

Since both conditions hold true, the transformation Lwt is linear.

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The probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

To calculate the probability that the sample mean is 36 or more pieces of candy, we need to use the properties of the normal distribution. Given that the population mean is 35 pieces of candy and the standard deviation is 5 pieces, we can use the Central Limit Theorem.
The Central Limit Theorem states that as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. Since the sample size is 40, we can assume a normal distribution.
To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n),

where x is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.
In this case, x = 36, μ = 35,

σ = 5, and n = 40.

Plugging these values into the formula, we get z = (36 - 35) / (5 / √40)

≈ 0.8944.
To find the probability that the sample mean is 36 or more, we need to calculate the area under the normal curve to the right of z = 0.8944. Using a standard normal table or a calculator, we find that the probability is approximately 0.1867, or 18.67%.
Therefore, the probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

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Answer:

42 + 26 = 68

Step-by-step explanation:

I hope this helped :)

Answer:

The domain is all real numbers, and the range is all real

numbers less than or equal to 4.

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined

We are given \(f(x)= -(x+3)(x-1)\)

f(x) is defined for all real values of x since there are no restrictions on the value of x

So,The domain of the function is all real numbers

Range of the function is the set of all values that f takes.

So, Range of given function is all real numbers less than or equal to 4.

Hence The domain is all real numbers, and the range is all real  numbers less than or equal to 4.

The law of cosines indicates that the player with the larger angle from their of standing point to the goal posts and therefore, with the greater chance of making a shot is Alyssa

The law of cosines state that the square of the length of a side of a triangle, a², is equivalent to the sum of the squares of the lengths of the other two sides of the triangle, b² + c², less twice the product the other two sides and the cosine of the angle between them, A.

Mathematicaly; a² = b² + c² - 2·b·c·cos(A)

The player with a wider view of the goal post has a greater chance to make a shot.

Let A represent the angle formed by the linear distances from Alyssa to the two goal posts, and let N represent the angle formed from Nari to the two goal posts, the law of cosines indicates that we get;

12² = 20² + 25² - 2 × 20 × 25 × cos(A)

2 × 20 × 25 × cos(A) = (20² + 25²) - 12²

cos(A) = ((20² + 25²) - 12²)/(2 × 20 × 25) = 0.881

A = arcos(0.881) ≈ 28.24°

Similarly; 12² = 45² + 38² - 2 × 45 × 38 × cos(B)

2 × 45 × 38 × cos(A) = (45² + 38²) - 12²

cos(B) = ((45² + 38²) - 12²)/(2 × 45 × 38) ≈ 0.972

B ≈ arcos(0.972) ≈13.54°

The larger angle Alyssa has indicates that Alyssa has a greater chance to make a shot.

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