The diameter of a circle is 7 m. Find the circumference
to

the

nearest

tenth
to the nearest tenth.

The joint probability of a and b upto 2 decimal places is 0.12

The conditional probability P(B/A)  arises only in the case of dependent events. It gives the conditional probability of B given that A has occurred.

p(a) = 0. 40 and p(b | a) = 0. 30.

P(B/A) = P(A∩B) / P(A)

0.30 = P(A∩B) / 0.40

P(A∩B) = 0.30 x 0.40

P(A∩B) = 0.12

Therefore, the joint probability of a and b upto 2 decimal places is 0.12

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Answer: I think the answer is $0.28, but I'm not sure.

Step-by-step explanation:

Answer:

.28 cents a cup. There are 4 cups in one quart. So 8 cups in 2 quarts. Divide $2.24 by 8= .28

If a relationship between two variables is called statistically significant, it means that the investigators think the variables are a. related in the population represented by the sample.

If a relationship between two variables is called statistically significant, it means that the investigators think the variables are related in the population represented by the sample. This means that the results of the study can be generalized to the larger population with a high degree of confidence.
Statistical significance refers to the likelihood that the results of a study are not due to chance. When researchers perform a statistical test, they calculate the probability that the observed relationship between the variables occurred by chance alone. If this probability is very low (usually less than 5%), then the results are considered statistically significant.
It's important to note that statistical significance does not necessarily mean that the relationship between the variables is strong or important. It simply means that the relationship is unlikely to be due to chance. Therefore, choice D ("very important") is not the correct answer. Choice B ("not related in the population represented by the sample") is also incorrect, as a statistically significant relationship indicates that the variables are related. Choice C ("related in the sample due to chance alone") is also incorrect, as statistical significance means that the relationship is not due to chance alone.

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Answer:

∠ BDC = 37°

Step-by-step explanation:

the central angle BAC is twice the angle on the circumference subtended on the same arc.

∠ BDC = \(\frac{1}{2}\) ∠ BAC = \(\frac{1}{2}\) × 74° = 37°

The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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Answer:

m = (y2 - y1) / (x2 - x1)

= (3 - 7) / (4 - (-2))

= -4 / 6

= -2/3

Therefore, the value of the parameter m is -2/3.

Answer:

5/9

Step-by-step explanation:

brainliest when possible.

The complex numbers being added in this problem are listed as follows:

A complex number is a number that is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

The number z1 has a real part of 2 and an imaginary part of -1, hence it is given as follows:

z1 = 2 - i.

The number z2 has a real part of -1 and an imaginary part of -3, hence it is given as follows:

z2 = -1 - 3i.

Hence the first option is the correct option for this problem.

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The shopping mall has 65,625 square feet of total leasable area. As stated in the problem, this indicates that the fitness club takes up 16% of the total leasable space.

According to the information provided, a fitness club occupies 10,500 square feet or 16% of the total leasable area at a sizable shopping mall. We can use the proportional and percentage approaches to determine the total leasable area.

Let's assume that the variable "x" stands for the whole amount of leasable space. Since we are aware that the area leased by the gym is 16% of the total leasable area, we can create the following equation:

10,500 = 0.16x

To solve for "x", we can divide both sides of the equation by 0.16:

10,500 / 0.16 = x

Simplifying this expression gives us:

x = 65,625

Therefore, The shopping mall has 65,625 square feet of total leasable area. As stated in the problem, this indicates that the fitness club takes up 16% of the total leasable space.

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Answer:

x=-5

Step-by-step explanation:

Answer:

oh ok.

Step-by-step explanation:

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

In all these stories, the authors use suspense, ambiguity, and unexpected plot twists to keep readers on edge and guessing what comes next. While the stories share some similarities in style and structure, they differ in terms of the specific themes and subject matter.

3. Summary of the story: Click Clack the Rattle Bag by Neil Gaiman is a spooky short story about a man walking his young granddaughter home from a party late one night. The young girl asks her grandfather to tell her a scary story to keep her distracted from the creepy noises and the darkness that surrounded them. The story is about an old man who goes to visit his neighbor's house to collect eggs. The neighbor gives him the eggs and warns him not to pay attention to the rattling bag in the corner of the room.4. The story unfolds gradually, and the author maintains an air of suspense by withholding key details about the story, such as who or what is inside the rattling bag. Gaiman uses this technique to keep the reader engaged, allowing them to imagine all kinds of potential horrors and keeps them guessing until the end.

5. Neil Gaiman's tone during his reading of Click Clack the Rattle Bag is calm, ominous, and measured, which adds to the suspense and fear factor of the story. The audience reacts with anticipation, fear, and wonder, while the reader feels a sense of foreboding and fear. At the end of the story, the reader is left with a sense of unease and discomfort.6. Gaiman's Click Clack the Rattle Bag is influenced by the stories we have read previously in this unit, such as Edgar Allan Poe's The Tell-Tale Heart, and The Monkey's Paw by W.W. Jacobs. In all these stories, the authors use suspense, ambiguity, and unexpected plot twists to keep readers on edge and guessing what comes next. While the stories share some similarities in style and structure, they differ in terms of the specific themes and subject matter.

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Answer: 54°

Step-by-step explanation:

We can see that this triangle is a right triangle (look at the little square in the triangle's corner-- that tells us that it's a right angle). A right angle is 90°

A triangle always has 180° in total.

So, we can add 90° and 36° and subtract the sum from 180°

180° - (90° + 36°) = 180° - 126° = 54°

Answer:

x = 54

Step-by-step explanation:

One of the properties for any triangle is that the sum of angles in the triangle will always equal 180 degrees. As one can see, one of the angles is (90) degrees, this is indicated by the box around the angle. It is given that one of the other angles is (36) degrees. One can call the unknown angle (x) and form an equation. Substitute in the given values and solve for (x).

(90) + (36) + (x) = 180

Simplify,

126 + x = 180

Inverse operations,

126 + x = 180

-126       -126

x = 54

Solution:

Using PRT/100 to find the interest:

Using Principle + Interest to find the amount:

Answer:multiply base times height

Step-by-step explanation:

V=lwh

V=bh

lw=V

Answer:

5

Step-by-step explanation:

so we can say that 5 standard deviations include all the data values.

57.57m above the center of the race track.

What is a radian?

The standard unit of angular measurement used in many branches of mathematics is the radian, indicated by the symbol rad. It is the unit of angle in the International System of Units. Previously, the unit was a SI supplementary unit.

Here, we have

Radius = 32

The car has swept out 1.8 radians since it started moving.

1 radian = 57.3°c

Since the car revolve around 1.8 radian

1.8×57.3 = 103.14°c

Using the formula

©/360×2πr

103.14/360×(2×22/7×32) = 57.57m

Hence, 57.57m above the center of the race track.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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The value of Tim's house at the start of 2018 is £146410

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

Initial value = 100,000

Rate of increase = 10%

The value of the house x years after 2014 can be represented as the following exponential function

Value = Initial value * (1 + rate)ˣ

So, we have

Value = 100000 * (1 + 10%)ˣ

2018 is 4 years after 2014

This means that x = 4

So, we have

Value = 100000 * (1 + 10%)⁴

Evaluate

Value = 146410

Hence, the value is #146410

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Answer:

27

Step-by-step explanation:

The probability of getting one defective component per customer is very low, less than 1/14,254. The probability of getting five defective components to a single customer is also low, 1/14,254. And the probability of getting two defective components to two different customers and the rest of the customers getting none is 10/14,254.

(a) The probability that each customer will receive one defective component is the probability that the five defective components will be drawn in a specific order, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order. So the probability is (5!)/(5049484746) = 1/14,254.

(b) The probability that one customer will have drawn five defective components is the probability that all five defective components will be drawn in a row, divided by the total number of ways the 50 components can be drawn. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a row. So the probability is (1!)/(5049484746) = 1/14,254,

(c) The probability that two customers will receive two defective components each, two none, and the other one, is the probability that the five defective components will be drawn in a specific order and then divided among the five customers in a specific way, divided by the total number of ways the 50 components can be drawn. The number of ways to divide the defective components among the customers is 5!/(2!2!1!) = 10. There are 5049484746 ways that the 50 components can be drawn, and 5! (5 factorial) ways that the defective components can be drawn in a specific order, so the probability is (105!)/(50494847*46) = 10/14,254.

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Answer:

1:25

Step-by-step explanation:

The evaluation of the function f at (0.1) = 5.988, f(-0.03) = 5.4, and lim x→0 f(x) = 6

The function f(x) is given by f(x) = x3 / (x - sinx).

To evaluate the function at 0.1, we simply plug in 0.1 for x:
f(0.1) = (0.1)3 / (0.1 - sin(0.1)) = 0.001 / (0.1 - 0.099833) = 0.001 / 0.000167 = 5.988
To evaluate the function at -0.03, we plug in -0.03 for x:
f(-0.03) = (-0.03)3 / (-0.03 - sin(-0.03)) = -0.000027 / (-0.03 + 0.029995) = -0.000027 / -0.000005 = 5.4

To find the limit of f(x) as x approaches 0, we can use L'Hopital's Rule. Taking the derivative of both the numerator and denominator gives us:
lim x→0 f(x) = lim x→0 (3x2) / (1 - cosx)

Plugging in 0 for x gives us 0/0, which is an indeterminate form. We can use L'Hopital's Rule again to take the derivative of both the numerator and denominator:
lim x→0 f(x) = lim x→0 (6x) / (sinx)

Plugging in 0 for x gives us 0/0 again, so we use L'Hopital's Rule one more time:
lim x→0 f(x) = lim x→0 (6) / (cosx)

Now, plugging in 0 for x gives us 6/1 = 6. So the limit of f(x) as x approaches 0 is 6.

Therefore, f(0.1) = 5.988, f(-0.03) = 5.4, and lim x→0 f(x) = 6.

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a) y= -6x+1

1) Perpendicular Lines have a reciprocal and opposite slope considering the original function: -1/m

So the slope of that perpendicular line is m = -6

2) Examining the options, let's rewrite them into the slope-intercept form

a) y=-6x +1

b)y=1/6x +42

c) y=-x/6-6

d) -y=-1/6x+4/3

3) So the answer is a) y= -6x+1

Answer:

3

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

3

Step-by-step explanation:

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

Answer: -10x/3-7/10

Step-by-step explanation:

Answer:7/3 in exact form.

Step-by-step explanation:

If you need it in mixed form or decimal form. Decimal form:2.3

Mixed number form:2 1/3