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Answer:

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = [tex]\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93[/tex]

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma }[/tex]

For x = 57:

[tex]z=\frac{57-60}{6.93 } =-0.43[/tex]

For x = 62:

[tex]z=\frac{62-60}{6.93 } =0.29[/tex]

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

Answer:

16022 square foot

Step-by-step explanation:

The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .

We find the surface area of the cylinder

= 2πr(r + h)

r = Diameter /2 = 100 feet/2

r = 50 feet

h = 1 feet

Hence

2 × 3.14 × 50(50 + 1)

= 16022.122533 square foot

= 16022 square foot

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.

Answer:

B. 5 and 7

E. 1 and 3

F. 6 and 8

Step-by-step explanation:

The angles in matching corners are called corresponding angles.

Answer:

Vertex: [tex](x,y) = (4,4)[/tex], Axis of symmetry: [tex]x = 4[/tex], no x-Intercepts, y-Intercepts: [tex](x,y) = (0, 36)[/tex]. The graph is represented in the image attached below.

Step-by-step explanation:

The equation of the parabola in vertex form and whose axis of symmetry is vertical is described by this formula:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]C[/tex] - Vertex constant.

[tex]h, k[/tex] - Coordinates of the vertex.

By direct comparison, we find the following information:

[tex]h = 4[/tex], [tex]k = 4[/tex], [tex]C = 2[/tex]

Vertex

The vertex is a point of the parabola so that [tex](x,y) = (h, k)[/tex].

If we know that [tex]h = 4[/tex] and [tex]k = 4[/tex], then the coordinates of the vertex are [tex](x,y) = (4,4)[/tex].

Axis of symmetry

The axis of symmetry is a line of the form [tex]x = h[/tex].

If we know that [tex]h = 4[/tex], then the axis of symmetry is [tex]x = 4[/tex].

To find the x and y intercepts, we need to transform the equation of the parabola into its standards, which is a second grade polynomial:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

[tex]y - k = C\cdot (x^{2}-2\cdot h\cdot x +h^{2})[/tex]

[tex]y = C\cdot x^{2} -2\cdot C\cdot h \cdot x + (C\cdot h^{2}+k)[/tex]

If we know that [tex]h = 4[/tex], [tex]k = 4[/tex] and [tex]C = 2[/tex], then the equation of the parabola in standard form is:

[tex]y = 2\cdot x^{2}-16\cdot x + 36[/tex]

x-Intercepts

The x-intercepts of the polynomial (if exist) can be found by the Quadratic Formula:

[tex]x_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot 2\cdot (36)}}{4}[/tex]

[tex]x_{1,2} = 4 \pm \frac{\sqrt{-32}}{4}[/tex]

[tex]x_{1,2} = 4 \pm i \,\frac{4\sqrt{2}}{4}[/tex]

[tex]x_{1,2} = 4 \pm i\,\sqrt{2}[/tex]

As both roots are conjugated complex numbers, there are no x-intercepts.

y-Intercepts

The y-intercept (if exists) can be found by evaluating the polynomial at [tex]x = 0[/tex]:

[tex]y = 2\cdot 0^{2} - 16\cdot 0 + 36[/tex]

[tex]y = 36[/tex]

The y-intercept is [tex](x,y) = (0, 36)[/tex].

Lastly, we proceed to plot the function by using graphing tools.

Answer:

60 sides

Step-by-step explanation:

Answer:

y < -3x + 2

Step-by-step explanation:

The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.

Therefore, the inequality is y < -3x + 2.

Answer:

Step-by-step explanation:Okay so I put 156 divided by 2 and I got 78 so see if 78 is the answer

Answer:

h. I dont understand the question-

i. 2w + 5

j. 7m + 13s (I didnt get the second number)

k. -2x + 3y (I also didnt get the first number-)

l. 5c - 2d

m. 10a + 2g

n. 5a + 12

Step-by-step explanation:

Answers:

1.) 9

2.) 6

3.) 2

Answer:

7 x 9 = 9 x 7

5 x 8 = 5 x 4 x 2

4 x 6 = 3 x 2 x 4

Step-by-step explanation:

Equation 1:

Commutative property, just reversing the order of the factors.

Equation 2:

Since 5 s given we multiply 4 x 2 to get 8

5 x 8

Equation 3:

3 and 4 are given. Since 6 is a product of 3 and 2, 2 is the missing number.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

Answer:

The distance between the lines: 4x+3y-11 and 8x+6y=15 is​ [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

You have two parallel and different lines. The form of the implicit equations is:

A*x + B*y + C= 0

A'*x + B'*y + C'=0

Since the two lines are parallel, the coefficients of their general equations must satisfy that the slopes are equal.

Therefore, the equations can be transformed so that the coefficients A and B are equal, multiplying or dividing one of them by a constant.

So, the distance between two lines can be expressed as follows:

[tex]d=\frac{|C-C'|}{\sqrt{A^{2} +B^{2} } }[/tex]

In this case, you have:

Then, you have:

Replacing in the definition of distance:

[tex]d=\frac{|-22-(-15)|}{\sqrt{8^{2} +6^{2} } }[/tex]

Solving:

[tex]d=\frac{|-7|}{\sqrt{8^{2} +6^{2} } }[/tex]

[tex]d=\frac{7}{\sqrt{8^{2} +6^{2} } }[/tex]

[tex]d=\frac{7}{\sqrt{64+36 } }[/tex]

[tex]d=\frac{7}{\sqrt{100 } }[/tex]

[tex]d=\frac{7}{10}[/tex]

The distance between the lines: 4x+3y-11 and 8x+6y=15 is​ [tex]\frac{7}{10}[/tex]

Answer:

[tex] x {4}[/tex]

Step-by-step explanation:

easy math

Answer and Step-by-step explanation:

The angles Ryan chose aren't supplementary (next to) to each other and don't add up to 180.

An angle pair that are supplementary to each other are angles 2 and 3.

#teamtrees #PAW (Plant And Water)

Answer:

4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex]   7) [tex]2x^2+12x+18[/tex]

5) [tex](-2,-3)[/tex]                    8) [tex](0,-3)[/tex]                            

Step-by-step explanation:

7) Add [tex]2y^2[/tex] to both sides of the equation.

    [tex]x-12y-18=2y^2[/tex]

    Add 12y to both sides of the equation.

    [tex]x-18=2y^2+12y[/tex]

    Add 18 to both sides of the equation.

    [tex]x=2y^2+12y+18[/tex]

    Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.

    a = 2, b = 12, c = 18

    Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

    [tex]d=\frac{12}{2(2)}[/tex]

    Simplify the bottom.

    d = 3

    Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]

    Raise 12 to the power of 2

    [tex]e=18-\frac{144}{4(2)}[/tex]

    Multiply 4 by 2.

    [tex]e=18-\frac{144}{8}[/tex]

    Divide 144 by 8.

    [tex]e=18-1[/tex] · 18

    Multiply [tex]-1[/tex] by 8.

    [tex]e = 18-18[/tex]

    Subtract 18 from 18.

    e = 0

    Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].

    [tex]2(y+3)^2+0[/tex]

    Set x equal to the new right side.

    [tex]x=2(y+3)^2+0[/tex]

    Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.

    a = 2

    h = 0

    k = [tex]-3[/tex]

    Find the vertex [tex](h,k)[/tex]

    [tex](0,-3)[/tex]

Answer:

6x+48

Step-by-step explanation:

6(x+8)

=(6)(x+8)

=(6)(x)+(6)(8)

=6x+48

Answer:

72

Step-by-step explanation:

6(4+8)

6(12)

the answer is 72

Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

Answer:

I think the answer is 6.......

45 - [ 38 - { 60/3 - ( 6 - 3 )/3} ]

45 - [ 38 - { 60/3 - 3/3 } ]

45 - [ 38 - { 20 - 1 } ]

45 - [ 38 - 19 ]

45 - 19

=26

hope this helps....

✔ b + 0.75 = 1.89  

✔ subtract 0.75  

✔ b = $1.14

the person above me doesn't make since so here the answers

Benjamin presently have $1.14.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89.

let Benjamin have the amount $b.

So, the Expression to represent the situation is:

b + 0.75 = 1.89  

Now, subtract 0.75 from both side

b + 0.75 - 0.75 = 1.89 - 0.75

b = 1.14

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

The solution is (3,-5)

Answer:

C) 12√2

Step-by-step explanation:

According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.

Answer:

Option 3 is your correct answer.

Answer:

slope = 2

Step-by-step explanation:

Answer:

x = 64

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

154 = x+90

Subtract 90 from each side

154-90 = x

64 =x

Answer:

x = 64

Step-by-step explanation:

First, we need to find the unknown interior angle next to the exterior angle.

? + 154 = 180

? = 26

Lastly, we need to find x.

x + 26 + 90 = 180

x + 116 = 180

x = 64

Answer:

x h

             h                                                                    d

Step-by-step explanation:

Answer:

A 9x--12 i hope this helps

Answer:

a. 9x-12

Step-by-step explanation:

Perimeter means total length of sides.

So, add (2x-7)+(5x-3)+(2x-2)

             9x-12

Step-by-step explanation:

i think this might help you