The correlation coefficient for the costs and sizes of storage containers is 0.52. Howare the costs and sizes of the containers related?Strong negative correlation Moderate negative correlationStrong positive correlation Moderate positive correlation

Answer:

Step-by-step explanation:

y=-1/5x+4

----------

The slope of the perpendicular line is always the opposite reciprocal of the original line

For example: the opposite reciprocal of 5 is -1/5

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

3/10×100/100+45/100×10/10

300/1000+450/1000

=750/1000=75%

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x(5y+60)

equivalent expressions = ?

Step 02:

We must apply the algebraic rules to find the solution.

x(5y+60) = 5xy + 60x

a. (2xy+20x+3xy+40x) = 5xy + 60x TRUE

b.xy+60x FALSE

c.y+12x FALSE

d. (25xy+300x) / 5 = 5xy + 60x TRUE

e.13y FALSE

f.x(y+12)​ = xy + 12x FALSE

The answer is:

a. (2xy+20x+3xy+40x) = 5xy + 60x TRUE

d. (25xy+300x) / 5 = 5xy + 60x TRUE

We will use the triangle inequality theorem to answer. This says that the sum of two side lenghts of a triangle must be greater than the third side.

A: 6.1 + 10.5 = 16.6 > 11.5

11.5,10.5, 6.1 Can form a triangle

B: 4.5+3.5 = 8 < 9

9.5, 3.5, 4.5 Can't form a triangle

C: 1+6.7 = 7.7 < 8

8, 6.7, 1 Can't form a triangle

D: 6.7 + 8 = 14.7 > 9.8

8, 6.7, 9.8 Can form a triangle

E: 5+6 = 11 > 8

5, 6, 8 Can form a triangle

F: 7.5 + 8.5 = 16> 9

9.5, 7.5, 8.5 Can form a triangle

The distance travelled by Elena while cycling to school is 1320.0 m

The distance travelled by Elena to school is equal to circumference of the wheel multiplied by the number of times

circumference of the wheel is calculated using the formula

circumference of the wheel = 2 * pi * r

substituting the values in to the formula

circumference of the wheel = 2 * 22/7 * 0.25

circumference of the wheel = 1.5714 m

distance travelled is calculated by the circumference of the wheel times number of times the wheel rotated

distance travelled = 1.5714 * 840

distance travelled = 1319.976

distance travelled = 1320.0 (Round to nearest tenth)

The distance travelled is 1320.0 m

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Answer:

294

Step-by-step explanation:

since the area is 7^3, the cube's side length is 7

SA = 6*7^2 = 294

Answer:

1/5x

Step-by-step explanation:

1/5x

The expected number of offspring, given the probabilities of offspring is   1. 64 offspring.

To find the expected number of offspring to the healthy adult female, look at the probability of an offspring and the number of offspring.

Multiply these probabilities with the offspring and then sum up the quotients.

The expected number of offspring is therefore:

= ( 0 x 30 %) + ( 1 x 0.22 ) + ( 2 x 0.17 ) + ( 3 x 0. 16 ) + ( 4 x 0.15)

= 1. 64 offspring

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Answer:

A. c is less than or equal to -11/5

Step-by-step explanation:

hope this helps :)

By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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For the given parabola, the parts on the curve should be labeled as follows;

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = y = x², we have the following:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(0)/2(1)

Axis of symmetry, Xmax = 0/1 = 0.

Vertex (h, k) = (0, 0).

In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.

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Using the concept of permutation, the company can generate 108,927 different employee ID codes.

To know the number of employee ID codes that's generated, we can check the number of possibilities of each component and multiply them together.

Given:

- Two letters can be chosen from 23 letters (excluding D, G, and Z).

- One digit can be chosen from 9 digits.

- One letter can be chosen from 23 letters (excluding D, G, and Z).

Number of possibilities for the first letter = 23

Number of possibilities for the second letter = 23

Number of possibilities for the digit = 9

Number of possibilities for the third letter = 23

To calculate the total number of employee ID codes, we multiply these possibilities together:

By using the concept of permutation;

Total number of ID codes = 23 × 23 × 9 × 23

Total number of ID codes = 108,927

Therefore, the company can generate 108,927 different employee ID codes.

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Answer : x = 3.50

bro I don’t know what math class your going to, but this question is easy, lol

x – 2.56 = 0.94

+ 2.56 +2.56

───────
x = 3.50

Hope this helped

Answer:

101.25

Step-by-step explanation:

75.00 x 35% = 26.25

26.25 + 75.00 = 101.25

Answer:

3 days

Step-by-step explanation:

hope u understand

Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

Answer:

A=base×height

A=20×60

A=1,200yd

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

centre = (5, - 6 ) , radius = 7

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )

x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )

x² - 10x + y² + 12y = - 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36

(x - 5)² + (y + 6)² = 49 = 7² ← in standard form

with centre (5, - 6 ) and radius = 7

Answer:

Center = (5, -6)

Radius = 7

Step-by-step explanation:

To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.

To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:

\(x^2-10x+y^2+12y=-12\)

Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:

\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)

Simplify:

\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)

       \(x^2-10x+25+y^2+12y+36=-12+25+36\)

       \(x^2-10x+25+y^2+12y+36=49\)

Factor the perfect square trinomials on the left side:

\((x-5)^2+(y+6)^2=49\)

The standard equation of a circle is:

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)

where:

Comparing this with the rewritten given equation, we get

Therefore, the center of the circle is (5, -6) and its radius is r = 7.

D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

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Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

C

Step-by-step explanation:

=>2x+27=x

=>2x-x=27

=>x=27

Answer:

remember that you start in the [ ] and work your way out

Step-by-step explanation:

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

Answer:

65/100 that is the answer to this question

A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

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Given the dimensions of the triangle:

Opposite = 7cm

Adjacent = 3cm

To find the length of the hypotenuse, let's use Pythagoras theorem:

Now we have:

Now take the square root of both sides:

The length of the hypotenuse is √58 cm