Which of the ratios below is equivalent to 5:2? Select all that apply.

A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12

Answer:

\(P(\bar X>3.4) = 0.385\)

Step-by-step explanation:

Relevant Data provided according to the question is as follows

\(\mu\) = 3.2

\(\sigma\) = 0.8

n = 4

According to the given scenario the calculation of probability that the sample means will be more than 3.4 pounds is shown below:-

\(z = \frac{\bar X - \mu}{\frac{a}{\sqrt{n} } }\)

\(P(\bar X>3.4) = 1 - P(\bar X\leq 3.4)\)

\(= 1 - P \frac{\bar X - \sigma}{\frac{a}{\sqrt{n} } } \leq \frac{3.4 - \sigma}{\frac{a}\sqrt{n} }\)

Now, we will solve the formula to reach the probability that is

\(= 1 - P \frac{\bar X - 3.2}{\frac{0.8}{\sqrt{4} } } \leq \frac{3.4 - 3.2}{\frac{0.8}\sqrt{4} }\)

\(= 1 - P (Z \leq \frac{0.2}{0.4})\)

\(= 1 - P (Z \leq 0.5})\)

\(= 1 - \phi (0.5)\)

= 1 - 0.6915

= 0.385

Therefore the correct answer is

\(P(\bar X>3.4) = 0.385\)

So, for computing the probability we simply applied the above formula.

Answer:

its  21

Step-by-step explanation:

its not 21 i really dont know

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

To know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

Learn more about inequalities on

https://brainly.com/question/24372553

#SPJ1

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate gets multiplied by -1 and the y-coordinate remains the same.

A(-3, -2) => B(3, -2).

The number that is filled in the blank is 3.

Answer:

C

Step-by-step explanation:

Answer:

divide 67.9 by 102.

Step-by-step explanation:

100 millimeters = 1 decimeter

The probability of x < -1 in a standard normal distribution is 0.15866

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

Standard normal distribution

In a standard normal distribution, we have

mean = 0

Standard deviation = 1

So, the z-score is

z = (x - mean)/SD

This gives

z = (-1 - 0)/1

z = -1

So, the probability is

P = P(z < -1)

Using the table of z scores, we have

P = 0.15866

Hence, the probability of x < -1 is 0.15866

Read more about probability at

https://brainly.com/question/31649379

#SPJ9

The area of the composite figure whose vertices have the  (2,-2), (2,1), (4,2), (6,2), (4,-1) coordinates is 6 square units

We first need to plot all the given points A  (2,-2), B (2,1), C (4,2), D (6,2)and E (4,-1) which is coordinate geometry

After joining the Points which is a pentagon and it can be divided in two shapes one is triangle CDE and a quadrilateral ABCE

Using the distance formula

BC = \(\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }\) = \(\sqrt{(2-1)^{2} + (4-2^{2} }\) = √5

Since BC = AE and BC ll AE , we can say ABCE is a parallelogram

area of a parallelogram = base × Altitude

                                      = 2 × 2= 4

Area of triangle CDE where CD is perpendicular and CE is the base

                        = 1/2 ( 2×2)

                        = 1/2 (4)

                         = 2 square units

So the area of ABCDE = Area of ABCE + area of CDE

                                     = 4 square units + 2 square units

                                      = 6 square units

Hence, the area of the composite figure whose vertices have the  (2,-2), (2,1), (4,2), (6,2), (4,-1)coordinates is 6 square units

To know more about coordinate geometry - https://brainly.com/question/26071752

#SPJ9

Answer:

75%

Step-by-step explanation:

If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.

The ratio of red:total is 3:4

3/4 is .75, times by 100 to convert to a percent.

.75 × 100 is 75%

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

Find out more on binomial distribution here: https://brainly.com/question/30049535

#SPJ1

Answer:

I think it's D

Step-by-step explanation:

If not i apologies in advanced

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

To learn more about Fraction here,

https://brainly.com/question/10354322

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{2}}}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{6}(x-\stackrel{x_1}{2})\)

Answer:  y-2 = -6 (x-2)

Step-by-step explanation: Point slope form is this equation:

y-y1 = m (x-x1)

y1 is 2 because (2,2) ; The left 2 is x1 and the right 2 is y1.

(-1,20); The -1 is x2 and the 20 is y2.

If you use the equation above it helps a lot. I hope this helps you! :)

Answer:

10) Correct

11) Each row is equal to 12 when you multiply them together.

12) 24

Step-by-step explanation:

12) You multiply 4*3*2 to get the volume of 24, which is also the number of cubes needed to make the shape.

Please give brainliest if I helped! :)

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

Answer:

The answer is It is between 0 and 1

Step-by-step explanation:

If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.

Religion is an example of a variable measured at the nominal level of measurement. Thus, option B is correct.

Nominal values are those that cannot be quantified by numbers, such as when calculating age or tallying academic accomplishments. As opposed to the ordinal, interval, or ratio measurements, it is the level of measurement representing a variable that just has distinct properties.

Since the 'characteristic' or 'identity' we are interested in is just named, the nominal level of measurement is the least accurate and illuminating. In nominal variables, the numerical values just "label" the attribute in a distinctive way. The numerical value is just a label in this instance.

To learn more about the Nominal level of measurement,

https://brainly.com/question/4823744

#SPJ4

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

Learn more about equation:https://brainly.com/question/29657983

#SPJ1

The slope intercept form of a line is written as

y = mx + c

Where

m represents slope

c represents y intercept

The x intercept is the value of x when y = 0

When y = 0 and x = - 8, then

0 = - 8 * m - 5

0 = - 8m - 5

8m = - 5

m = - 5/8

The equation in slope intercept form is

y = - 5x/8 - 5

The equation in standard form is expressed as

Ax + By = C

We would convert the slope intercept form to this form. It becomes

5x/8 + y = - 5

Where

A = 5/8

B = 1

C = - 5

Answer:

The diagram is attached below.

Step-by-step explanation:

A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.

So, the readings on the thermometers (denoted by Z) follows N (0, 1).

It is provided that 2.7​% of the thermometers are rejected because they have readings that are too high and 2.7​% are rejected because they have readings that are too low.

This implies that:

\(P(Z<-z)=0.027\ \text{and}\ P(Z>z)=0.027\)

The value of z associated to both these probabilities are:

z = 1.93.

That is,

\(P(Z<-1.93)=0.027\ \text{and}\ P(Z>1.93)=0.027\)

*Use a z-table.

The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

NOSE BRO TU DIME JAJAAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJA XXDXDDDXXDDZXXDDDXXDDDXZDDXXDDDXXZDD$XXXXDDDDDDD

Answer:

\(-29.5-\frac{38}{15}x\)

Step-by-step explanation:

First, we must expand out the -5.

-5 times 2/3x is equal to -10/3x, and -5 times 6 is equal to -30. 1/2 minus 30 is equal to -29.5, and 4/5x minus 10/3x is equal to -38/15x.

Answer:

B. 0 = -78

Step-by-step explanation:

A. (4/3x=42) and C. (15/2y=33) can't represent no solution cause the answer will have a variable = a constant. A the answer is x=63/2 and C's answer y=22/4 which is definitely has a solution. is  D can't have no solution because 0=0 is infinitely many solutions. The only answer than is B. 0 = -78. Please give brainliest and plus the person below probably will copy me.

Answer:

B

Step-by-step explanation:

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

For more questions on: binomial

https://brainly.com/question/30566558

#SPJ8