The number of songs enjoyed from Eminem by all Learn4Life students is normally distributed with a mean of 7.0 songs and a standard deviation of 1.5 songs.

What is the probability an individual student likes between 5.5 and 8.5 songs from Eminen?​

Answer:

37.17

Step-by-step explanation:

I took the test

Answer: The circumference of the pizza is 37.7 inches.

Given data :

Diameter of the pizza = 12 inches

So,

Radius of the pizza = 12/2

= 6 inches

So,

Circumference of the pizza

= 2×π×radius

= 2×22/7×6

= 37.7 inches (answer)

If -8x + 2y = -10 and 7x + 6y = -3 are true equations what would be the value of 15x + 4y is Cross out the common factor: 7.

Verify your math to ensure that the values on either side of the equals sign are the same in order to create a genuine equation. To create a genuine equation, ensure sure the numbers on both sides of the "=" symbol are equal. For instance, the equation 9 = 9 is real. The equation 5 + 4 = 9 is accurate. The formula 6 + 3 = 9 is accurate.

Multiplying both side of a equation by a coefficient:{3(-8x + 2y) = -10 × 3, 7x + 6y = -3}

apply the distributive property {-24x + 6y = -30, 7x +6y -3}

Subtract the two equations: -24x + 6y - (7x +6y) = -30 - (-3)

Remove parentheses: -24x + 6y - 7x - 6y = -27

Cancel one variable : -24x - 7x = -27

Solve the equation: x = 27/31

Substitute into one of the equations: 7 × 27/31 + 6y = -3

Solve the equation: y = -47/31

The solution of the system is {x = 27/31, y = -47/31}

Substitute { x = 27/31 , y = -47/31  into 15x + 4y :: 15 × 27/31 + 4 × (-47/31)

Determine the sign of multiplication or division: 15 × 27/31 - 4 × 47/31

Write as a single fraction: 15 × 27 /31 - 4 × 47 /31

calculate the product or quotient: 405/31 - 188/31

Write the numerators over common denominators: 405 - 188/31

calculate the sum or difference: 217/31

Cross out the common factor: 7

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Answer:

Step-by-step explanation:

=63

The measure of arc ADC in circle B with the measure of minor arc AC= 126° is 234°.

Given that the measure of minor arc AC = 126°, we can find the measure of arc ADC using the following formula:

m/ADC = 360° - m/AC

Plugging in the values, we get:

m/ADC = 360° - 126° = 234°

Therefore, the measure of arc ADC is 234°.

Here is the explanation:

A minor arc is an arc that is less than 180°.

The measure of a minor arc is equal to the measure of the central angle that intersects it.

The measure of a whole circle is 360°.

Therefore, the measure of arc ADC is equal to the difference between the measure of the whole circle and the measure of minor arc AC. This difference is 360° - 126° = 234°.

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Based on the information, it can be inferred that the number of possibilities to write arch is 37

To find the number of possibilities there are to write the word arch we must analyze the graph. Once we identify the position of each letter we must carry out the following procedure.

Find how many possible combinations each letter has to form the word. In this case, to begin with, we only have 3 options to connect A with R. However, each R has at least 3 options to connect with the letter C, the R in the center has 5 possibilities to connect with the letter C.

On the other hand, each letter C has at least 4 possibilities of connecting with the letter H, and the middle C has 7 possibilities of connecting with the letter H.

To find the total number of possibilities we must add these values:

According to the above, we have 37 combination options.

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∠LJK = 37° and ∠KLJ = 69º. So, ∠JKH = 16°. This can be solved by using the concept of triangle.

Correct option: B

When two beams or straight lines intersect at one of their ends, an angle is created. The vertices of such an angles is the location where two points come together. The word angle is taken from the Latin word angulus, which means "corner."

Depending on the measurement, there are many angles in geometry. Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and complete rotation.

ΔJKL consist of 3 angles: ∠LJK, ∠KLJ and ∠JKL

We are given the measures of ∠LJK and ∠KLJ

In order to find ∠JKH we must find the missing angle in the triangle

Remember that angles in a triangle add up to equal 180

If we are given two angles we can find the missing angle by subtracting the measures of the known angles from 180

so ∠JKL = 180° - 37° - 69°

180° - 37° - 69° = 74°

Hence, ∠JKL = 74°

Now to find ∠JKH:

Angles ∠K, ∠JKH and ∠JKL appear to be formed on a straight line

Angles formed on a straight line add up to equal to 180°

So, ∠K + ∠JKH  + ∠JKL = 180°

∠K is a right angle, indicated by the little square.

Right angles have a measure of 90° so ∠K = 90°

We have also calculated the measure of ∠JKH = ( 74° )

That being said we plug in the given values into the equation created earlier and solve for ∠mJKH

We would have 90° + ∠JKH + 74° = 180°

For calculation ∠JKH:

90° + 74° = 164°

now we have 164° + ∠JKH = 180°

or, ∠JKH = 16°

Hence the answer is B

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The complete question is as follows:

The critical values for a decision rule at a level of significance of 0.10 (i.e., a 10% significance level) depend on the type of hypothesis test you are conducting and the specific distribution you are using.

The decision criteria is based on certain test statistic results (for example, reject H0 if Z > 1.645). A given test's decision rule is determined by three factors: the research or alternative hypothesis, the test statistic, and the degree of significance.

A crucial value is the value of the test statistic that establishes the upper and lower boundaries of a confidence interval or the statistical significance threshold in a statistical test.

Critical values for a hypothesis test are determined by a test statistic that is particular to the type of test and the significance level, alpha, which specifies the test's sensitivity.

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The correct equation of the circle is the first option which is

(x - 5)² + (y + 2)² = 9

What is a circle?

A circle is a collection of all points in a plane that is uniformly distanced from a fixed point. The fixed point is referred to as the circle's centre. The radius of a circle is the separation between the centre and any point along its circumference.

The general equation of the circle is

(x-h)² + (y-k)² = r²

where r = radius of the circle

          (h,k) = centre of the circle

Given,

      radius r = 3

    centre = (h,k) =  (5,-2)

According to the above equation,

(x-5)² + (y-(-2))² = 3²

(x-5)² + (y+2)² = 9

Therefore the correct equation of the circle is the first option.

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Answer:

Step-by-step explanation:

13,18,23 are in arithmetic progression

The formula for the nth term of an AP is, Tn = a + (n - 1)d, where: 'a' is the first term of the AP and; 'd' is the common difference of the AP.

here a=13, d=18-13=5

Tn = a + (n - 1)d = 13+(n-1)5 = 13+5n-5 = 5n+8

Tn = 5n+8

So on solving the question Mary Ann saw each of these patterns of people while she was on the hill equation is 3x+2 and answer is 14.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra.

Mary Ann saw each of these patterns of people while she was on the hill:

1)All in groups of two, no leftover

2) All in groups of four, two left over

3)All in groups of three, two leftover

4)All in groups of five, four leftover.

So the number must give 2 as remainder when divided by 3.

So the number must be 4x+2 . So the number will be 3x+2 Thus from the above information, we can easily say that the number is 3*4+2 = 12+2 = 14

However , we have to check whether 14 matches the last part.

Groups of five in which 4 was leftover.

2 groups of 5 taken out of 14 (2*5) will have 4 as a remainder.

So the right answer is 14.

Answer :14

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The sample space of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}.

The sample space of an experiment is the set of all possible outcomes of the experiment. In the experiment of rolling a six-faced dice, the sample space is the set of all possible values that the dice can show when it is rolled.

Since a dice has six faces, each with a distinct number (1, 2, 3, 4, 5, or 6), the sample space of the experiment of rolling a six-faced dice is {1, 2, 3, 4, 5, 6}. This means that any time the dice is rolled, it can only show one of these six values.

It's important to note that the sample space is a finite set, as there are only a limited number of possible outcomes. In this case, the sample space contains only six elements, each representing one of the faces of the dice that can show up when it is rolled.

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Answer:

Total decrease as a percentage 12.4%

Step-by-step explanation:

Please find the attachment for detail

The length of the long piece of string before Janelle cuts it is 6 feet.

We can use the following equation to find the length s of the long piece of string before Janelle cuts it:

s = 4 * 1.5 feet

where 4 is the number of pieces and

1.5 feet is the length of each piece.

Therefore, s = 4 * 1.5 feet = 6 feet.

Multiplication is the process of taking one integer and multiplying it by a certain number of times. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilise every day.

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Answer:

-2.5

Step-by-step explanation:

We can start by isolating h on one side of the equation:

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

Divide both sides by -2x + 5:

(4x + 5) / (-2x + 5) = h

Now, since the equation has only one solution, the value of h must be well-defined for all values of x except those that would make the denominator equal to zero. This happens when -2x + 5 = 0, or when x = (5 - 5) / (-2) = -2.5.

So, the value of h cannot be determined when x = -2.5. This means that the value of h cannot be equal to -2.5.

Answer:

I have this same question what school do u go to?

Step-by-step explanation:

The volume of the solid under the cone z = x2y2 and above the disk x2y2 ≤ 36 is 7056π. This was found by using polar coordinates and integrating the equation V = ∫∫∫r2sin(θ)dzdθdr with the limits of integration r = 0 to 6, θ = 0 to 2π, and z = 0 to x2y2.

The volume of the solid can be found by integrating the equation:

V = ∫∫∫r2sin(θ)dzdθdr

where r is the radius and θ is the angle of the polar coordinates.

The limits of integration are as follows:

r = 0 to 6

θ = 0 to 2π

z = 0 to x2y2

The integral is then:

V = ∫0 to 2π∫0 to 6∫0 to r2sin(θ)dr dθ

V = ∫0 to 2π∫0 to 6 r3sin(θ)θdr

V = ∫0 to 2π [r4sin(θ)]0 to 6 dθ

V = ∫0 to 2π 644sin(θ)dθ

V = 7056π

The volume of the solid under the cone z = x2y2 and above the disk x2y2 ≤ 36 is 7056π. This was found by using polar coordinates and integrating the equation V = ∫∫∫r2sin(θ)dzdθdr with the limits of integration r = 0 to 6, θ = 0 to 2π, and z = 0 to x2y2.

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In linear equation, $54.3  is  the original price of the jumper.

Which equation is linear equation ?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                        Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

17% of 319.41

17/100 * 319.41

= 54.2997

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equation 3x+2y=8 the equation y= -3/2, x+2 represents the line parallel to the given equation and passed through the point (-2,5)

The concept of an equation in algebra is a quantitative statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

(formula of the line ) y= mx+c

y= -3/2+8/2

y= -3/2+4 ( m= -3/2)

this is given equation of the line

and its parallel line is

y-5/x+2 = -3/2

2y- 10 = -3x-6

3x+2y =4

2y = -3x+4

y = -3/2x+2

y = -3/2

x =2

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The volume of the solid generated when r is rotated about the line y=4 is 512/15π

In math the term called volume in math is defined as a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Here we know that let r be the region bounded by the parabola y=x² and the line y=4.

Then the volume of the solid generated when r is rotated about the line y=4 is calculated by using the formula,

=> V = π ∫ᵇₐ [(h - f(x))]² dx

Here we have to apply the values on it, then we get,

=> V = π ∫₋₂² [(4 - x²)]² dx

By Using symmetry this can be written as,

=> V = 2π ∫₋₂² [16 - 8x² + x⁴] dx

When Solving the integral, then we get,

=> V = 2π (16x - 8/3x³ + 1/5x⁵)²₀

Here by Applying the fundamental theorem of calculus, then we get,

=> V = 2π (16(2) - 8/3(2)³ + 1/5(2)⁵) - 2π (16(0) - 8/3(0)³ + 1/5(0)⁵)

When we simplify this then we get

=> V = 512/15 π

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The percentage of a circle's circumference is 18.17%.

We have,

To determine the percentage of a circle's circumference cut off by an angle, we need to calculate the fraction of the total circumference represented by the given angle and then convert it to a percentage.

The total circumference of a circle is 360 degrees or 2π radians.

First, we convert the angle measure of 31.9 degrees to radians:

31.9 degrees = 31.9 x (π/180) radians

Next, we add the given angle measure of 1.5 radians to the converted value:

31.9 x (π/180) + 1.5 radians

To calculate the fraction of the circumference, we divide the sum of the angles by the total angle of a circle (2π radians):

(31.9 x (π/180) + 1.5) / (2π)

To express it as a percentage, we multiply the fraction by 100:

[(31.9 x (π/180) + 1.5) / (2π)] x 100

Evaluating this expression will give us the final value, which represents the percentage of a circle's circumference cut off by the given angle.

Performing the calculations:

[(31.9 x (π/180) + 1.5) / (2π)] x 100 ≈ 18.17%

Therefore,

The percentage of a circle's circumference is 18.17%.

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An angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

To determine the percentage of a circle's circumference cut off by an angle, we need to find the ratio of the angle's measure to the total angle of a circle (360 degrees or 2π radians) and then multiply it by 100 to express it as a percentage.

First, let's convert the angle measure of 31.9 degrees to radians:

1 degree = π/180 radians

So, 31.9 degrees = (31.9 × π) / 180 radians

Now, let's add the angle in radians to the converted value:

31.9 degrees + 1.5 radians = (31.9 × π) / 180 + 1.5 radians

Next, we calculate the ratio of the angle to the total angle of a circle:

Angle ratio = (31.9 × π) / 180 + 1.5 radians / 2π radians

Finally, we multiply the ratio by 100 to obtain the percentage:

Percentage = Angle ratio × 100

Let's calculate it:

Angle ratio = ((31.9 × π) / 180 + 1.5) / (2π) ≈ 0.233

Percentage = 0.233 × 100 ≈ 23.3%

Therefore, an angle with a measure of 31.9 degrees plus 1.5 radians cuts off approximately 23.3% of a circle's circumference.

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The triangle with given vertices is not an isosceles triangle.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Let a triangle with vertices be A(-1 ,7), B(5, 5) and C(-2 ,1).

Using the coordinates A(-1, 7) and B(5, 5), we get

AB =√(5-7)²+(5+1)²

AB=√40

AB=2√10 units

Using the coordinates B(5, 5) and C(-2 ,1) we get

BC=√(-2-5)²+(1-5)²

BC=√65 units

Using the coordinates C(-2 ,1) and A(-1 ,7) we get

BC=√(-1+1)²+(7-1)²

BC= 6 units

Therefore, the triangle with given vertices is not an isosceles triangle.

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The value of the equation a = (1/4)×b in terms of a is b = 4a.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression a = (1/4)×b.

Now, Making 'b' the subject is the same as solving for 'b'.

We know when a term is multiplied by another term moving it to the other side we have to take its reciprocal.

Therefore,  a = (1/4)×b.

b = a×(4/1).

b = 4a.

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Answer:

it will take 6 minutes, just keep adding 1.4 to -8.4 until you reach 0

Step-by-step explanation:

Answer: It will take 6 minutes because all you need is to divide 8.4 and 1.4 (don't put the negative sign or ignore it)!

Answer:

Why do you need to set up a graph for this equation?

Step-by-step explanation:

The value of a is 12 and b is 10.39, for the given special right triangle.

A special right triangle is a right triangle with a regular feature that facilitates calculations on the triangle or for which straightforward formulas are available. Angles in a right triangle, for instance, could form straightforward relationships like 45°-45°-90°. Right triangle that is "angle-based" is what this is. When the side lengths of a right triangle form ratios of whole numbers, like 3:4:5, or of other unusual numbers, like the golden ratio, the triangle is said to be "side-based." Without using more complex techniques, one can quickly calculate different lengths in geometric problems by understanding the relationships between the angles or side ratios of these special right triangles.

The opposite sides of a 30-60-90 special right triangle are always in the ratio of 1:√3: 2.

so opposite of 30deg here is 6

as When opposite side 30deg is 6 then opposite side 90deg is 2(6)

a = 2(6)

a = 12

Now we have base = 6 and hypotenuse = 12

Use Pythagoras theorem

b [tex]= \sqrt{12^2 - 6^2}[/tex]

b = 10.39

Thus, The value of a is 12 and b is 10.39, for the given special right triangle.

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Salut/Hello!

Answer: a) £244 ; b) £17

Step-by-step explanation:
First we need to know the cost of one apple.
27.30 : 78 = £0.35

a) [I'm going to assume you meant 698 apples here]
£0.35 x 698 = £244.3 with the approximate of £244

b) £0.35 x 49 = £17.15 with the approximate of £17

I hope it was helpful! :]

Answer:

Step-by-step explanation:

2x-3

x=2

Answer: -4

Step-by-step explanation:Since subtracting a negative number is the same as adding a positive number, -12 - (-8) can be rewritten as -12 +8. Counting 8 up from negative 12 leaves us with negative 4.

Answer:

B. 34 1/5

Step-by-step explanation:

have a good day!

Answer:

1200

Step-by-step explanation:

4% of 2000 is 80 then do 80*15 and you get 1200