please help me with this

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

Given that,

E(x) = 30

Var(x) = 144

E(y) = ?

Var(y) = 144

Then,

E(10+5X)

To do this, we make use of the following equation

E(ax + by) = a E(x) + b E(y)

E(10+5X) = 10 E(x) + 5 E(y)

E(10+5X) = 10*30 + 5*144

E(10+5X) = 300 + 720

E(10+5X) = 1020

Therefore,

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

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While there may be other integration techniques that can be used to evaluate some chain rule integrals directly, u-substitution is a powerful and versatile tool that is often used to simplify and evaluate these types of integrals.

The chain rule is a fundamental concept in calculus, and it applies to differentiation as well as integration. The chain rule integration technique involves recognizing the function inside the integral as the composition of two functions, and then using substitution to simplify the integral.

In some cases, it may be possible to use other integration techniques to evaluate chain rule integrals directly, without using substitution. However, in general, the use of substitution (or a related technique, such as integration by parts) is often necessary to evaluate chain rule integrals.

That being said, there are some special cases where the chain rule integrals can be evaluated more directly, such as when the integrand is a polynomial or a rational function, or when it has a simple algebraic form.

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Attached figure shows the triangle pairs which can be mapped to each other using a single translation.

What are Transformation and Reflection?

Single or multiple changes in a geometrical shape or figure are called Geometrical Transformation.

A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.

The translation is a rigid transformation that creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and the same.

The translation mapping is given by (x,y)→(x+h,y+k), where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of each point of the original figure to the image.

In the attached figure we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.

Attached figure shows the triangle pairs which can be mapped to each other using a single translation.

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Complete Question:

'Which of these triangle pairs can be mapped to each other using a single translation? pls help need it fast '

Answer:

1 6 inches

2 4 inches

Step-by-step explanation:

1. 2wide : 4tall

×3

6wide: 12tall

2. 6wide : 12tall

÷ 3

2wide to 4tall

Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

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The number of cups of sugar will be 11²/₃.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Donna's recipe calls for 2¹/₃ cups of sugar for each cake. Donna wants to make 5 cakes.

The number of cups of sugar will be,

Number = 2¹/₃ x 5

Number = (7/3) x 5

Number = 35 / 3

Number = 11²/₃.

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\(\sf{ }\)

Answer:

1) pencils

2)60

Step-by-step explanation:

So pencils are 70 which is the first sentence.

4*15 is 4x15 or 4x3x5 which is 60

Hope this helpz plz hit the crown :D

The smallest positive subnormal machine number is 0.00390625 and the largest positive subnormal machine number is 0.0048828125. The smallest positive normalized machine number is 0.0625 and the largest positive normalized machine number is 7.

a. In F3,3−4,4​ floating point system, the subnormal machine numbers are those whose exponent bits are all 0s, and whose mantissa bits are not all 0s.

Therefore, the number of subnormal machine numbers is:

\(2^4 - 1 = 15\).

b. The normal machine numbers are those that are neither subnormal nor infinite.

Therefore, the number of normal machine numbers is:

\(2^6 - 2 - 15 = 47\).

c. The smallest subnormal machine number is calculated as:

\(1 × 2^(-3) × (0.1110)₂ = 0.0111₂ × 2^(-3) = 0.09375₁₀.\)

d. The largest subnormal machine number is calculated as:

\(1 × 2^(-3) × (0.1111)₂ = 0.01111₂ × 2^(-3) = 0.109375₁₀.\)

e. The smallest positive normalized machine number is calculated as:

\(1 × 2^(-2) × (1.0000)₂ = 0.25₁₀.\)

f. The largest positive normalized machine number is calculated as:

\(1 × 2^3 × (1.1111)₂ = 7.5₁₀.\)

3. Now, let's consider F4,4−5,3​ floating point system:

a. The number of subnormal machine numbers is:

\(2^5 - 1 = 31.\)

b. The number of normal machine numbers is:

\(2^7 - 2 - 31 = 93.\)

c. The smallest subnormal machine number is calculated as:

\(1 × 2^(-5) × (0.11110)₂ = 0.0001111₂ × 2^(-5) = 0.00390625₁₀.\)

d. The largest subnormal machine number is calculated as:

\(1 × 2^(-5) × (0.11111)₂ = 0.00011111₂ × 2^(-5) = 0.0048828125₁₀.\)

e. The smallest positive normalized machine number is calculated as:

\(1 × 2^(-4) × (1.0000)₂ = 0.0625₁₀.\)

f. The largest positive normalized machine number is calculated as:

\(1 × 2^3 × (1.1110)₂ = 7₁₀.\)

Therefore, in F4,4−5,3​ floating point system, there are 31 subnormal machine numbers and 93 normal machine numbers.

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Answer:

5 pints of flour and 4 teaspoons of yeast.

Step-by-step explanation:

5*2=10

2*2=4

5*2=10

2*2=4Answer:

Step-by-step explanation:

Answer:

What he said

Step-by-step explanation:

If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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Answer:

The 90% confidence interval for the difference between the population proportion of infected fish in the Mediterranean Sea and the Atlantic Ocean is (-0.2011, 0.0976). This indicates that there is no statistically significant difference between the two populations, as the confidence interval includes 0. This means that the proportion of infected fish in the Mediterranean Sea is not significantly different from the proportion of infected fish in the Atlantic Ocean.

Step-by-step explanation:

Answer:

I45

Step-by-step explanation:

Answer: 1 and 8 are supplementary and 1 and 6 are vertical

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified

Answer:

− 0.48076923

Step-by-step explanation:

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

Answer:

13.71 m

Step-by-step explanation:

Draw the tunnel so the width marks the zeroes at   (-12,0) and (12,0)

    then      y = a ( x+12)(x-12)   is the equation..

      ..to calculate 'a' sub in the point 9, 6   (where the width is 18)

               6 = a ( (9+12)(9-12)    shows a = -2/21

y = -2/21 (x+12)(x-12)       Max is when x = 0

      -2/21 ( 12)(-12)  = 288/21     =    13.71 m

Answer:

If y=0, then 4y^2•2y^4 = 4(0)^2•2(0)^4 = 0.

Therefore, any of the options that involve y, such as A) 6y^6 or C) 8y^6, would also be equal to 0.

The only option that is still a valid answer is B) 6^8, which is simply 6 to the 8th power, or 1679616.

Hope This Helps!

The correct option is D. 2x + 7 is used for solving the equation by substitution.

The following are the two given equations;

4x = 5 - 2y  .......equation 1

y - 2x = 7    .......equation 2;

using substitution mean put the value of one variable from 1 equation into the other.

Consider equation 2;

y - 2x = 7

y = 2x + 7  

Put this in equation 1;

4x = 5 - 2y

4x = 5 - 2(2x + 7)

Simplifying;

4x = 5 - 4x - 14

4x = 9 - 4x

8x = 9

x = 9/8

Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).

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Answer: Alternate interior angles and congruent angles.

Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.

(I’ve also attached a helpful image from the web!)

Answer:

Step-by-step explanation:

Answer:

6:5 or \(\frac{6}{5}\)

Step-by-step explanation:

\(\frac{90}{75}\)  Divide by \(\frac{15}{15}\)

\(\frac{6}{5}\) or 6:5

Answer:

Option 3)  y = 3x+1

Step-by-step explanation:

Given equation is:

y = \(-\frac{1}{3} x -2\)

Perpendicular => It will have a slope of negative reciprocal to this slope

So the  ⊥ line has a slope = m =  3

Now,

Point = (x,y) = (1,4)

So, x = 1, y = 4

Putting this in slope intercept form to get b

=> \(y = mx+b\)

=> 4 = (3)(1) + b

=> b = 4-3

=> b = 1

Now, Putting m and b in the slope intercept form to get the required equation:

=> y = 3x+1

Answer:

Option C is the correct option.

Given that,

\(y = - \frac{1}{3} x - 2\)

Which is in the standard form

\(y = mx + c\)

where, m= slope

c=y- intercept

\(m1 = - \frac{1}{3} \)

Slope of perpendicular lines is the product of slope is -1.

\(m1.m2 = - 1 \\ - \frac{1}{3} \times m2 = - 1 \\ m2 = \frac{ - 1}{ \frac{ - 1}{3} } \\ m2 = 3\)

Then, y=3x+c------> equation (i)

(X,y)=(1,4) ---- given

c=4-3x

c=4-3(1)

c=4-3

c=1

Put this in equation (i) we get,

This is the required equation of the line.

Hope this helps...

Good luck on your assignment..

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

Step 1

State the for the sales tax rate

where

Step 2

Get the sales tax rate in percentage by substitution

The number of combination of 11 objects taken 7 at a time is 330

The total objects present = 11

Total objects taken at a time = 7

We need to find the number of combinations of 11 objects taken 7 at a time.

To calculate the number of combinations, the formula used is nCr

Where n represents the total number  and r represents the nymber of items choosen at a single time

nCr = n! / (r! x (n – r)!)

nCr = 11! / (7! x (11 - 7)!)

nCr = 11! / (7! x 4!)

nCr = 330

Therefore, the number of combination of 11 objects taken 7 at a time is 330

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