You have 12 cards numbered as follows: 2,5,8,10,12,15,18,20,10,7,9,11. What is the probability of choosing an even number, given that it is a multiple of 5?
a. 5/12
b. 7/12
c. 1/2
d. 3/5

The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

Answer:

sorry to say but I don't understand

Answer:

(a) 259.5 days

(b) 284 days

Step-by-step explanation:

Let X represent the pregnancy length in days.

It is provided that \(X\sim N(270,9^{2})\).

(a)

Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.

Then,

P (X < a) = 0.12

⇒ P (Z < z) = 0.12

The corresponding z-score is, z = -1.17.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5\)

Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.

(b)

Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.

Then,

P (X > b) = 0.06

⇒ P (X < b) = 0.94

⇒ P (Z < z) = 0.94

The corresponding z-score is, z = 1.56.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284\)

Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.

Answer:

The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation:

A pyramid and a cone are both 12 centimeters tall and have the same volume.... What is the volume?

Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is

The horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

The horizontal cross-sections of the prisms at the same height must have the same area thus the correct option is A.

A pyramid and a cone are both 12 centimeters tall and have the same volume, we know that Volume is the quantification of the three-dimensional space a substance occupies.

We have to determine the true statement, and it is the horizontal cross-sections of the prisms at the same height must have the same area cone and given pyramid are looks like same in two-dimensional.

If we cross-section the figures at the same height, it won't get the same shape but we should get the same area, as the area of the cross-section will be proportional to the base area, and the base area of both figures are the same.

Thus, the correct option is A.

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Answer:

The dog or a squirrel

Step-by-step explanation:

Answer:

I think cats, no hate against cats I love them.

Step-by-step explanation:

The amount of Dietary Fiber (g) and the number of bananas are in proportion.

Here, \(\frac{9.3}{3}=3.1\)

\(\frac{18.6}{6}=3.1\)

\(\frac{27.9}{9}=3.1\)

\(\frac{37.2}{12}=3.1\)

So, the constant of proportionality is \(3.1\).

The constant of proportionality for the amount of Dietary Fiber (g) and the number of bananas when they are in proportion is \(3.1\).

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Answer:

Q = (4, - 1)

Step-by-step explanation:

DF is the diameter of the circle with center Q.

So, Q is the midpoint of DF.

By mid point formula.

\(Q = \bigg( \frac{1 + 7}{2}, \: \: \frac{3 - 5}{2} \bigg) \\ \\ Q = \bigg( \frac{8}{2}, \: \: \frac{ - 2}{2} \bigg) \\ \\ Q = (4, \: \: - 1)\)

Answer:

1,4,5

Step-by-step explanation: it ees what it ees

Answer:

Sampling Error

Step-by-step explanation:

We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.

Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.

This is also similar to the definition given in the question.

Thus, it's sampling error!

Answer:

3/13

Step-by-step explanation:

There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13

Answer:

  45

Step-by-step explanation:

You want the area of triangle RST using the area formula A=1/2bh, given the points R(-2, 7), S(-5, 1), and T(7, -5).

A plot of the points is shown in the first attachment. By counting grid squares, you can see that segment RS has a "rise" of 2 grid squares for each 1 to the right. The total (run, rise) is ...

  R -S = (-2, 7) -(-5, 1) = (-2 +5, 7 -1) = (3, 6)

The length of RS is found using the Pythagorean theorem (distance formula). It is ...

  RS = √(3² +6²) = √45 = 3√5

Similarly the length of segment ST is ...

  T -S = (7, -5) -(-5, 1) = (7 +5, -5 -1) = (12, -6)

  ST = √(12² +(-6)²) = √180 = 6√5

We note that the slopes of these segments are opposite inverses of each other:

  slope RS = 6/3 = 2

  slope ST = -6/12 = -1/2

This means the segments are at right angles. One of them can be considered to be the "base" and the other the "height" of the triangle.

Using the area formula, we find the area to be ...

  A = 1/2bh

  A = 1/2(6√5)(3√5) = (1/2·6·3)(√(5·5)) = 9·5 = 45

The area of ∆RST is 45 square units.

__

Alternate solution

When the coordinates of a polygon are given, there are several other ways to find its area. One of these is illustrated in the second attachment.

The method illustrated here computes successive "determinants", then finds the area as half the absolute value of their sum. (The sign of the sum will depend on the order in which the points are listed around the figure. Here, it is counterclockwise.) As you can see, we get the same result. You can also see that a spreadsheet is useful for doing the repetitive math.

  Area ∆RST = 45 square units

__

Additional comment

The distance formula for the length of the segment between two points is ...

  d = √((x2-x1)² +(y2-y1)²)

Above, we calculated the differences (x2-x1, y2-y1) separately, then used the "root sum squares" formula for the distance. This has the advantage that (y2-y1)/(x2-x1) is the slope of the segment, and we needed to make sure the segments were perpendicular.

Answer:

About 6.32 hours.

Step-by-step explanation:

P= production

t=# of hours needed

How many hours are needed to reach the production level of 400?

Plug the numbers into the formula given.

400=300+50 ( t-10 squared)

Combine like terms-  400=350 (t-10 squared)

subtract 350 from itself, then do the same to the other side.

400-350=350-350(t=-10 squared)

50= (t-10squared)

50-10= 40 squared

40 squared= about 6.32.

Hope this helps! Have a nice day :)

Answer:

60^2-10/5 = 3600-2 = 3598

Step-by-step explanation:

Answer:

Step-by-step explanation:

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

8 bagels

Step-by-step explanation:

12 ÷ 3 = 4

2/3 means 2 of the 3 parts. each part is 4 bagels.

that means 8 bagels are multigrain

The value of x is after solving the logarithm equation logx⁽⁵¹²⁾ = 3 is 8.

A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.

To solve the logarithm equation, we follow the steps below.

Given:

Step 1:

Therefore,

Step 2:

Convert 512 to index form. (i.e 8³)

Comparing both side of equation 1,

Hence, the value of x is 8.

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The cost to lay on the floor of a room 16 ft by 15 ft is $112320

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Area of tile = 6 in * 6 in = 36 in²

36 in² cost $3.25

Area of 16 ft by 15 ft = 16 * 15 = 240 ft² = 34560 in²

Cost = 34560 * $3.25 = $112320

The cost to lay on the floor of a room 16 ft by 15 ft is $112320

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Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Answer:

Function; Not a function

Step-by-step explanation:

Write the ordered pair in the first set (x, y):     (1, 11), (2, 7) , (3, 2)

Write the ordered pair in the second set (x, y):     (1, 3), (1, 4),  (2, 4) , (3, 2)

The first set in a function because no ordered pair has the same x value.

The second set in not a function because the x value is the same in two of the ordered pairs.

Options

Answer:

(B) -2

Step-by-step explanation:

Given the list

\(-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15\)

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

Therefore, it cannot be our result.

The correct answer is -2.

Answer:

-2 i did i what he said then revewied my quiz and it was right

Step-by-step explanation:

Answer:

yes your right

Step-by-step explanation:

not a line not a line segment and not a triangle

good job

Answer:

yes it's correct

Step-by-step explanation:

Because none of the other answer choices would fit the description for the question

Answer:

10 and 2.4

Step-by-step explanation:

100 is 10*10 so: \(\sqrt{100}\) = 10

5.75 is a decimal number

\(\sqrt{5.75}\) = 2.39≈ 2.4

Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

15 euros

Step-by-step explanation:

hope this helps