a random variable y is 10 times of the other random variable x. we know the standard deviation of x is 100. what is the standard deviation of y?

Ms. Martinez made 5 costumes for the members of the chorus in the school musical.

To find the number of costumes Ms. Martinez made, we need to divide the total amount of fabric she bought by the amount of fabric used per costume.

Ms. Martinez bought 11 1/4 yards of fabric, which can also be written as 11.25 yards.

Each costume requires 2 1/4 yards of fabric, or 2.25 yards.

To calculate the number of costumes, we divide the total fabric purchased by the fabric used per costume:

Number of costumes = Total fabric purchased / Fabric used per costume

Number of costumes = 11.25 yards / 2.25 yards

Number of costumes = 5

Therefore, Ms. Martinez made 5 costumes for the members of the chorus in the school musical.

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The dot product of a constant tensor D and the position vector x is equal to the constant tensor D.

Let us first write out the dot product of x and D:

(x ⋅ D) = (xi eˆi ⋅ D) = xi (eˆi ⋅ D)

Since D is a constant tensor whose components do not depend upon the coordinates, the dot product between D and any vector eˆi will also be constant and not depend on the coordinates. Therefore, we can simplify the above equation as:

(x ⋅ D) = xi (eˆi ⋅ D) = xi Di

But since Di is a constant for all i, we can write:

(x ⋅ D) = xi Di = D(ij) xi = D

Therefore, the dot product of a constant tensor D and the position vector x is equal to the constant tensor D.

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Answer:

It is not true

Step-by-Step:

^ABC, m<A = 119 degrees.

In triangle ABC, side BC is longer and side AB shortest side.

Given that, in ΔABC, m∠A = 119° and m∠B = 49°.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Using angle sum property, we get

m∠A+m∠B+m∠C=180°

⇒ 119°+49°+m∠C=180°

⇒ m∠C=180°-168°

⇒ m∠C=12°

So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.

Therefore, in triangle ABC, side BC is longer and side AB shortest side.

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Answer:

24

Step-by-step explanation:

9-3=6 and 6 divided by 1/3 is 18. then u  add 18 plus 6 and that'll give u 24.

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

The functions shows the approximate percent change per centimeter as a constant or coefficient is \(C(d) = 9300(1 - 0.002)^{(100d)\).

Thus, option (C) is correct.

Given the function \(\(C(d) = 9300 \cdot 0.8^d\)\),

The function will be

\(C(d) = 9300(1 - 0.002)^{(100d)\)

In this function, the term \((1 - 0.002)^{(100d)\) represents the decay factor for the light intensity as depth increases.

The value 0.002 represents the reduction factor per meter, and raising it to the power of (100d) accounts for the number of centimeters (since 1 meter = 100 centimeters) at a depth of d meters.

This function does indeed show the approximate percent change per centimeter as a coefficient, as requested. The coefficient is approximately \((1 - 0.002)^{100\), which is around 0.181269.

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The question attached here seems to be incomplete, the complete question is

Sediment in water lowers the intensity of light shining through the water. Thefollowing function,C, gives the light intensity, in candela per square meter, oflight at a depth ofdmeters in a particular body of water.

\(\(C(d) = 9300 \cdot 0.8^d\)\)

Which of the following equivalent functions shows the approximate percent change per centimeter as a constant or coefficient? Please choose from one of the following options.

A.\(C(d)=0.0000019 \. (1-0.2)^{d-100\)

B.\(C(d)=9279 \. (1-0.2)^{d+100\)

C. \(C(d) = 9300(1 - 0.002)^{(100d)\)

D.\(C(d)=9300\)

Total distance traveled during these 6 seconds = 80 feets

Given the data in the question-

Time (sec)        Velocity (ft/sec)

0                       13

1                        23

3                       24

4                       15  

5                        4

6                       10                          

Since the distance traveled is shown by.

Distance = Velocity x Time

And since the time interval in the question is given = 1 sec between any two breaks,

By the principle of left-end approximation -

According to the left-end approximation, the velocity given at each equal interval is determined by the function value at the left of each subinterval.

(0,1) ---------------- f (0) = 13

(1,2) ---------------- f (1) = 23

(2,3) --------------- f (2) = 24

(3,4) --------------- f (3) = 15

(4,5) --------------- f (4) = 4

(5,6) --------------- f (5) = 1

Now if we observe the time break between two-time intervals = 1 sec

The expression will be derived as -

= (13 x 1) + (23 x 1) + (24 x 1) + (15 x 1) + (4 x 1) + (1 x 1)

= 13 + 23 + 24 + 15 + 4 + 1

= 80 feets

Therefore, the total distance traveled during these 6 seconds = 80 feets

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Step-by-step explanation:

hope it helps.

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

Answer:

4x+4

Step-by-step explanation:

Answer:

4x + 4

Step-by-step explanation:

By using the distributive property,

→ 4(x + 1)

→ (4 × x) + (4 × 1)

→ 4x + 4

Hence, the solution is 4x + 4.

Answer:

The 3rd answer

Step-by-step explanation:

Step 1: Rewrite the square root

(8^1/3)^x

Step 2: Multiply exponents

8^(x/3)

Remember when exponenting an exponent, you multiply the 2 exponents together.

Answer: The third choice, 8^(x/3)

Step-by-step explanation:

If you were to right the cube root of 8 in fractional exponent form, it would be 8^(1/3).

Now, we have (8)^1/3*x

Then we multiply 1/3 with x to get:

8^(x/3)

Hope this helps

Answer:

1167°

Step-by-step explanation:

Sum is adding up all of the angles so,

285°+ 293°+ 294°+ 295°=1167°

(sorry if its not correct)

Answer:

7242388650°

Step-by-step explanation:

Multiple 285°×293×294×295

83505×294×295

The value of x that satisfies the equation 5x + 10 = 20 is 2.

Equations are mathematical statements that use symbols, variables, and operations to show a relationship between two or more quantities. In this particular equation, you are given the values of some variables and asked to solve for one of them.

The equation given is 5x + 10 = 20. This equation has one variable, x, which represents an unknown quantity. The goal is to find the value of x that satisfies the equation, meaning that when you substitute that value into the equation, both sides will be equal.

To solve for x, we need to isolate it on one side of the equation. One way to do this is by using inverse operations, which are operations that undo each other. In this case, we can start by subtracting 10 from both sides of the equation to get:

5x + 10 - 10 = 20 - 10

Simplifying this, we get:

5x = 10

Next, we can isolate x by dividing both sides of the equation by 5:

5x / 5 = 10 / 5

Simplifying this, we get:

x = 2

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Complete Question:

What is a value of x if the equation is 5x + 10 = 20?

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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1)Appropriate display can be chosen based on question like how many variables do you want to show, how many data points you want to display and how you want to scale your axis

2)a. dot plots, stem and leaf graphs, histograms, box plots, ogive graphs, and scatter plots

2)b. pie charts, can be used to compare the categories to the whole.

3)a. Bar chart

b. Bar charts usually present categorical variables, discrete variables or continuous variables grouped in class intervals.

The bars depict frequencies of different values of a variable

4)Bar graphs : as it shows the comparison of exact amount to each other.

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Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

The maximum value of the function is approximately 67,179.6 at x ≈ 29.5, and the minimum value of the function is approximately -27,512.5 and occurs at x ≈ -6.5.

We are given the quadratic equation as;

\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3}\)

Solving the equation ;

\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3} \\\\\\y = \dfrac{8x^{2} + 15x - 4}{12}\)

Using the second formula, we see that the roots of the equation

x = (-(-100) ± √((-100)² - 4(3)(-200))) / (2(3))

x = (-(-100) ± √(10000 2400)) / 6

x = (-(-100) ± √(12400)) / 6

x = (100 ± 20 √(31)) / 3

To determine whether these are maximum or minimum points,

y''(x1) = -6((100 √(31)) / 3) = -200 - 40√(31) < 0  is a local minimum

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If one could fund the entire federal budget by working a single 8-hour work day, approximately 3,085.35 seconds of that working day would be devoted to paying the amount earmarked for public broadcasting.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To put the amount earmarked for public broadcasting into perspective, we can compare it to the total annual federal budget and calculate how much time would be spent working to pay for it.

First, let's convert both amounts to the same unit of measurement, such as dollars per second. If we assume an 8-hour work day,
8 * 60 * 60 = 28,800 seconds,

Then the federal budget can be funded at a rate of,
= 4.75 × 10¹²/ 28,800 seconds
= 165,278.47 dollars per second.

Next, we can divide the amount earmarked for public broadcasting by the rate of funding to find the number of seconds devoted to paying for it,

= 510 × 10⁶ / 165,278.47 dollars per second
= 3,085.35 seconds

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Yes, the given pair of triangles are congruent by ASA rule.

In geometry, two triangles are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given are two triangles, labelling by names, (refer to the image attached)

Considering the triangles, Δ ABC and Δ DEC,

We have,

AC = DC [given]

∠ A = ∠ D [both are congruent]

∠ ACB = ∠ DCE [vertically opposite angles]

∴ Δ ABC ≅ Δ DEC

By ASA rule.

Hence, we can say, the given pair of triangles are congruent by ASA rule.

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Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

The fraction of the circumference of the circle is the length of arc AB is 1/6

Point A and B lie on a circle with radius 1 , and arc AB has a length of π/3

The circumference of a circle is given by the formula 2πr

We need to find the fraction of the circumference of the circle is the length of arc AB

Fraction of the circumference = Length of arc AB/ circumference

= (π/3)/2.π.r. =

(π/3)/2.π.1

= 1/6 or 1 : 6.

Therefore, The fraction of the circumference of the circle is the length of arc AB is 1/6

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Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136. Here is the solution in HTML format:

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136.

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The expression  (x²)5 is simplified using the exponent properties to  5x².

Index forms of a number can be defined as the number written in the form of an exponential expression.

To be a single number that is raised to another number.

Numbers too large or small are written in index forms, since the law of exponents states the following;

Exponents of numbers are to be added when numbers are multiplied

We are Given the expression;

(x²)5

Using the law of exponents, we have;

5x²

Thus, the expression is simplified using the exponent properties to  5x²

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