Please select the word from the list that best fits the definition

a leader of a group of people

Answer:

24% of those surveyed liked neither

Step-by-step explanation:

Set concepts:

We use set concepts to solve this question.

I am going to say that:

P(A) is the percentage of people that liked to swim.

P(B) is the the percentage of people that liked to run.

The percentage of people that liked at least one of these activities is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

In which \(P(A \cap B)\) is the probability that a person liked both these activities.

The percentage of people that liked neither is:

\(P = 1 - P(A \cup B)\)

Of those surveyed, 58% said they liked to swim and 36% said they liked to run.

This means that \(P(A) = 0.58, P(B) = 0.36\)

18% said they liked both swimming and running

This means that \(P(A \cap B) = 0.18\)

What percent of those surveyed liked neither?

At least one:

\(P(A \cup B) = 0.58 + 0.36 - 0.18 = 0.76\)

Neither:

\(P = 1 - P(A \cup B) = 1 - 0.76 = 0.24\)

24% of those surveyed liked neither

Answer:

X=y+5 is the answer because to make x the subject you need to do the opposite of the operation

Answer:

  On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

Step-by-step explanation:

Each equation is in slope-intercept form:

  y = mx + b . . . . . where m is the slope, and b is the y-intercept

The first equation is ...

  y = -x +1

so the slope is -1, and the y-intercept is +1.

__

The second equation is ...

  y = 2x +4

so the slope is 2, and the y-intercept is 4.

__

The slopes and intercepts are properly described in the last selection.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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Answer:

7 schools have fewer than 50 classrooms.

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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The required measure of the radius inscribed in the triangle RST is 11.

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

Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2

Now,
Radius = XU
          = -2(2) + 15
          = 11

Thus, the required measure of the radius inscribed in the triangle RST is 11.

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Answer:

Step-by-step explanation:

a_1 = 15

a_2 = a_1  - 3

a_2 = 15 - 3

a_2 = 12

a_3 = a_2  - 3

a_3 = 12 - 3

a_3 = 9

a_4 = a_3 - 3

a_4 = 9 - 3

a_4 = 6

a_5 = 3

a_6 = 0                  I'm leaving these last two to expand

a_n = a1 - (n - 1)*d

a_n = 15 - (n - 1)*3

a_n = 15 - 3n + 3

a_n = 18 - 3n

Example

a_6 = 18 - 3*6

a_6 = 0

Problem B

t(1) = 108

t(1 + 1) = 1/3 * 108

t(2) = 36

t(3) = 1/3 * t2

t(3) = 1/3 * 36

t(3) = 12

t(4) =1/3 (t(3))

t(4) = 1/3 * 12

t(4) = 4

t(5) = t4 / 3

t(5) = 4 / 3

t(5) = 1.3333333

So the explicit definition is

t(n) = 108 (1/3)^(n - 1)            You could simplify this a little bit by realizing that 108 is made of three 3s.

t(n) = 4 * 3^3 * (1/3)^(n - 1)

t(n) = 4 * (1/3) ^ (n - 4)

Example

t(5) = 108 (1/3)^4

t(5) = 108(1/81)

t(5) = 1.3333333

And using the simplified formula, you get.

t(5) = 4 * (1/3)^1

t(5) = 1.333333 which is the same thing as the original result.

Answer:

see explanation

Step-by-step explanation:

(a)

Using the recursive rule and a₁ = 15 , then

a₂ = a₁ - 3 = 15 - 3 = 12

a₃ = a₂ - 3 = 12 - 3 = 9

a₄ = a₃ - 3 = 9 - 3 = 6

The sequence is 15, 12, 9, 6, ....

This is an arithmetic sequence with n th term ( explicit rule )

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = - 3 , then

\(a_{n}\) = 15 - 3(n - 1) = 15 - 3n + 3 = 18 - 3n

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

(b)

Using the recursive rule and t₁ = 108 , then

t₂ = \(\frac{1}{3}\) t₁ = \(\frac{1}{3}\) × 108 = 36

t₃ = \(\frac{1}{3}\) t₂ = \(\frac{1}{3}\) × 36 = 12

t₄ = \(\frac{1}{3}\) t₃ = \(\frac{1}{3}\) × 12 = 4

The sequence is 108, 36, 12, 4, ......

This is a geometric sequence with n th term

\(t_{n}\) = t₁\((r)^{n-1}\)

where t₁ is the first term and r the common ratio

Here t₁ = 108 and r = \(\frac{1}{3}\) , then

\(t_{n}\) = 108 \((\frac{1}{3}) ^{n-1}\)

The -2 multiplies each every term in the brackets. meaning -2 will multiply 5x and also 3y

\( = - 2(5x) - 2(3y) \\ = - 10x - 6y\)

OPTION C MATCHES AS THE SOLUTION.

GOODLUCK

Answer:

sinx = √2/3

Step-by-step explanation:

cos2x = 1-2sin²x

5/9 = 1-2sin²x

2sin²x =1-5/9

2sin²x = 4/9

sin²x = (4/9)/2

sin²x = (4/9)*(1/2)

sin²x = 2/9

sinx = √2/3

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer: 10

Step-by-step explanation: 2.5 x 4

Answer: -3

Step-by-step explanation:

ubuve 2.2 it stay the same -2.4 is -3

The number of entry codes will be 720.

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations.

When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.

Given that you must first choose 3 letters and​ then, 3 ​single-digit numbers.

The number of arrangements will be calculated as,

Codes = 6!

Codes = ( 6 x 5 x 4 x 3 x 2 x 1 )

Codes = 720

Hence, the combination of the code will be 720.

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Answer:

  1.81530×10⁴

Step-by-step explanation:

Keep the first 6 digits of the mantissa:

  1.81530×10⁴

__

Here, the 7th digit is less than 5, so it and all to the right are dropped.

Answer: 3.190

Step-by-step explanation:

If the population distribution is normal, and population standard deviation is unknown, then

The test statistic is given by :-

\(t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\)

, where \(\overline{x}\) = sample mean , \(\mu\) = population mean , n= sample size, s= sample standard deviation.

Given: \(\mu\) = 2058

\(\overline{x}\) = 2044

s= 17

n= 15

Test statistic:

\(t= \dfrac{2044-2058}{\dfrac{17}{\sqrt{15}}}\approx3.190\)

Hence, the value of the test statistic is 3.190  [Rounded to the three decimal places.]

Based on the provided data, the population standard deviation is 6.0 and the population variance is 36.0.

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, follow these steps:

1. Press the "STAT" button, and then select "Edit" to enter the data.

2. Enter the ages of the students into a list. For example, you could enter the ages into list L1.

3. Once you have entered the data, press the "STAT" button again, and then select "CALC."

4. Choose "1-Var Stats" and enter the list name that contains the data (L1 in this case). Press "ENTER" to see the result.

5. The calculator will display a list of statistics, including the population standard deviation (σx) and the population variance (σx²). Round these values to one decimal place.

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Answer:D

Step-by-step explanation:

please mark brainliest

Answer:D• subtraction property of equality

Step-by-step explanation:subtract 3/4  on both sides?????

Answer:

No

Step-by-step explanation:

<3

Answer:

7.4-0.0022

Step-by-step explanation:

7.39-0.0012=7.3888

7.4-0.0022=7.3978

Answer:

7.4-0.0022

Step-by-step explanation:

that is the answer

Answer:

Okay, Tell em what ur trying to ask please :/- confused

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.

Substituting into point-slope form,

\(y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}\)