In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.

A circle with center O and points D, B, and A is shown. Point C is located outside of the circle. Line CBA extends out from the circle. Line CD extends outside of the circle.

What is the length of diameter BA? Round the answer to the nearest tenth.
A. 52.9
B. 69.9
C. 35.9
D. 15.2

Approximately 99.7% of people's IQs are expected to be above 75 and 84.1% of people's IQs are expected to be below 95. Also 21.23% of people's IQs are expected to be between 112 and 136.

The Normal distribution model N(100, 16) is used to describe IQ scores. The mean (μ) of the distribution is 100, and the standard deviation (σ) is 16. These parameters provide information about the shape, center, and spread of the IQ scores.

In order to answer the given questions, we use the properties of the normal distribution and standardize the values using z-scores. Standardizing allows us to find the corresponding areas under the standard normal curve, which can then be used to determine the percentages.

For part (a), we need to find the percentage of IQ scores that are expected to be above 75. Since the IQ scores follow a normal distribution, we know that approximately 99.7% of the scores lie within three standard deviations from the mean. Since 75 is more than three standard deviations below the mean, we can expect that nearly all IQ scores will be above 75.

For part (b), we want to determine the percentage of IQ scores that are expected to be below 95. By standardizing the value of 95, we can find the area under the normal curve to the left of this value using the standard normal distribution table.

For part (c), we need to calculate the percentage of IQ scores that fall between 112 and 136. By standardizing these values and finding the areas under the normal curve corresponding to each standardized value, we can calculate the percentage between the two values by subtracting the smaller area from the larger area.

These calculations provide insights into the probabilities and relative frequencies of IQ scores falling within specific ranges and help us understand the distribution of IQ scores based on the given Normal model.

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The velocity of the object after t seconds is v(t) = 60t^2 - 16t m/s and the position of the object after t seconds is s(t) = 10t^3 - 8t^2 + 60t meters from the starting point.

The velocity of an object is the rate of change of its position. The acceleration of an object is the rate of change of its velocity.

The object in this problem has an initial velocity of 60 m/s and an acceleration of 6t - 16 m/s^2. This means that the object's velocity is increasing at a rate of 6t - 16 m/s^2.

To find the object's velocity after t seconds, we can use the following equation:

v(t) = v_0 + at

where v_0 is the initial velocity and a is the acceleration.

Plugging in the given values, we get:

v(t) = 60 + (6t - 16)

v(t) = 60t^2 - 16t

The object's position is the sum of its initial position and the distance it has traveled. The distance it has traveled is equal to the area under its velocity curve.

To find the object's position after t seconds, we can use the following equation:

s(t) = v_0t + \frac{1}{2}at^2

where v_0 is the initial velocity and a is the acceleration.

Plugging in the given values, we get:

s(t) = 60t + \frac{1}{2}(6t - 16)t^2

s(t) = 10t^3 - 8t^2 + 60t

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The velocity of the object after t seconds is v(t) = 60t^2 - 16t m/s and the position of the object after t seconds is s(t) = 10t^3 - 8t^2 + 60t meters from the starting point.

The velocity of an object is the rate of change of its position. The acceleration of an object is the rate of change of its velocity.

The object in this problem has an initial velocity of 60 m/s and an acceleration of 6t - 16 m/s^2. This means that the object's velocity is increasing at a rate of 6t - 16 m/s^2.

To find the object's velocity after t seconds, we can use the following equation:

v(t) = v_0 + at

where v_0 is the initial velocity and a is the acceleration.

Plugging in the given values, we get:

v(t) = 60 + (6t - 16)

v(t) = 60t^2 - 16t

The object's position is the sum of its initial position and the distance it has traveled. The distance it has traveled is equal to the area under its velocity curve.

To find the object's position after t seconds, we can use the following equation:

s(t) = v_0t + \frac{1}{2}at^2

where v_0 is the initial velocity and a is the acceleration.

Plugging in the given values, we get:

s(t) = 60t + \frac{1}{2}(6t - 16)t^2

s(t) = 10t^3 - 8t^2 + 60t

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Answer: A. the probability that a randomly selected horse owner will feed grass hay in the A.M.and alfalfa in the P.M.

Answer: y=2/5x - 4

Step-by-step explanation:

Answer:

2x-4+3x+2=48

5x-2=48

5x=48+2

5x=50

x=10

Step-by-step explanation:

this

The numerical length of AB = 16 units and BC = 26 units

We have a Line Segment AC = 50 units and a point B is between A and C.

We have to determine the value of AB and BC.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

AC = 48 units

AB = 2x - 4

BC = 3x + 2

Now -

AC = AB + BC

48 = 2x - 4 + 3x + 2

48 = 5x - 2

5x = 50

x = 10

Therefore -

AB = 2x - 4 = 2 x 10 - 4 = 16

YZ = 3x + 2 = 3 x 10 - 4 = 26

Hence, the numerical length of AB = 16 units and BC = 26 units

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Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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Answer:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/\(\sqrt{2}\)=b/10(do cross multiplication)

b\(\sqrt{2}\)=10

b=10/\(\sqrt{2}\)

Step-by-step explanation:

89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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The domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

The given relation consists of the points 2, 3, 5, 7, and 8. To find the domain and range of the inverse relation, we need to swap the x-values with the y-values. The resulting set of values will represent the domain and range of the inverse relation.

In the given relation, the x-values are 2, 3, 5, 7, and 8, and the corresponding y-values are not provided. To find the inverse relation, we swap the x-values with the y-values.
After swapping the values, we obtain the following set of points: (2, 2), (3, 3), (5, 5), (7, 7), and (8, 8). These points represent the inverse relation.
The domain of the inverse relation is the set of x-values from the swapped points, which is {2, 3, 5, 7, 8}. This means that these are the values for which there exist corresponding y-values in the original relation.
Similarly, the range of the inverse relation is the set of y-values from the swapped points, which is also {2, 3, 5, 7, 8}. These are the values that correspond to the x-values in the original relation.
Therefore, the domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

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The new function for f(x) = (x – 3) is g(x) = x/2 – 3

Given,

The function, f(x) = (x – 3)

Horizontal stretch by a factor of 2

The quadratic parent function f(x) = (x – 3) is the simplest form of a quadratic function.

If the function is multiplied by the factor b and:

|b| > 0  the function is stretched.

If 0 < |b| < 1 the function is compressed.

Then the new function will be in the form:

g(x) = (1/b)x - 3

Therefore, keeping the above on mind, if b=2, then the new function is:

g(x) = (1/2)x - 3

g(x) = x/2 - 3

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When an A proposition is false, the truth-value of the E proposition is correct, truth-value of the I proposition is undetermined, and truth-value of the O proposition is true according to the square of opposition.

If an A proposition is false, then the corresponding E proposition is correct. The universal negative E proposition states that "none" of the members of a group has a certain attribute.  A proposition means that not all members of a group have a certain attribute, hence none have the characteristic that the E proposition denies.

If an A proposition is false, the corresponding I proposition's truth-value is undetermined. According to the square of opposition, the I proposition, which is a particular affirmative proposition, is obverse of E proposition. Hence, the truth value of the I proposition is always undecided, i.e., it can be true or false.

If an A proposition is false, the corresponding O proposition is true. According to the square of opposition, the O proposition is the contrapositive of the A proposition. The negative O proposition argues that there are members of a group that do not possess a specific characteristic.

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Answer:

Range = highest number - lowest number

Let h be the highest number.

6 = h - 4, so h = 10

The missing number is 10.

Answer:

60000000

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)

\(\\ \rm\rightarrowtail 14x+26=180\)

\(\\ \rm\rightarrowtail 14x=154\)

\(\\ \rm\rightarrowtail x=11\)

Answer;

Reject the null hypothesis

Explanation;

Here, we are having a situation in which the level of significance is less than the p-value

In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis

Hence, simply put, we are going to reject the nulll hypothesis

Answer:

(-1,-1)

Step-by-step explanation:

y = 9x + 8 and y = -x - 2

then 9x + 8 = -x - 2

9x + x = -8 - 2

10x = -10

x = -1

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

=================================================

Explanation:

We can draw a straight line fairly close to all of the points. This line is known as the regression line, or line of best fit. Since this line has a negative slope, we consider the points to have negative association.

Put another way: as x goes up, y goes down, or vice versa. The two work opposite variables do opposite actions.

-----------------

Extra info:

Answer:

5 Hours

Step-by-step explanation:

8 x 5 = 40.

Heather wants to spend $35 dollars at most. She has a discount for $5 dollars off, so basically we do 40 -5, which equals $35.

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ \(\frac{AD}{AC} = \frac{AE}{AB}\)

⇒ \(\frac{6}{6+?} =\frac{4}{4+2}\)

⇒ ? = 3

Lena's average speed for the entire race is 3.8 m/s

In this question we have been given that Lena is competing in a 400 m race. she runs at a constant speed of 4.7 m/s for the first 150 m, then 4.1 m/s for 30 seconds.

The remainder of the race takes her 42 seconds to complete.

We need to find Lena's average speed for the entire race.

We know that the formula of speed.

speed = distane/time

time = distance/speed

So, the time for first 150 m would be

time = (150 m)/(4.7 m/s)

       = 31.915 s

Lena's average speed would be,

A = total distance/total time

   = (400 m)/(31.915 s + 30 s + 42 s)

   = (400 m)/(103.915 s)

   ≈ 3.8 m/s

Hence, the Lena's average speed for the entire race is, 3.8 m/s

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Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

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Answer:

A: 50:100

Step-by-step explanation:

The ratio 5:10 is the ratio of caramels to fruit creams.  This ratio is equivalent to 50:100.

The answer is 72. 3•4•6=72 That is the volume of the figure.

Answer:

a = \(\frac{b-4}{-2y}\)

Step-by-step explanation:

ay + 4 = 3ay - b  Subtract 4 from both sides

ay = 3ay -b - 4  Subtract 3ay from both sides

ay - 3ay = b - 4  Factor out the a

a (y -3y)  = b =4  Combine like terms

a(-2y) = b - 4  Divide both sides by -2y

a = \(\frac{b-4}{-2y}\)

Answer:

8 yards

Step-by-step explanation:

7-15=8

:)

The probability that 5 people sit in the correct order in either direction clock or anti-clock is equal to the probability of any one of the orders occurring, which is 1/2, or 50%.

To calculate the probability that they sit in the correct order in both directions, you would multiply the probability of each event occurring. Since the probability of either event occurring is 1/2, the probability of both events occurring is (1/2) * (1/2) = 1/4, or 25%. This means that there is a 25% chance that the 5 people will sit in the correct order in both directions around the table.

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Answer:

chances of that would be a 5%

The standard form of a quadratic function is:

`f(x) = ax^2 + bx + c`

If the zeros of the function are 3 and 1/2, then the factors of the function are:

`(x - 3)` and `(x - 1/2)`

To find the quadratic function using these factors, you can first multiply them together:

`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`

Now we have:

`f(x) = x^2 - 7/2x + 3/2`

This is the quadratic function in standard form that has zeros of 3 and 1/2.