Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?

Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5

Answer:

college c

Step-by-step explanation:

bc its the least amount of money and has the second highest loan default

Answer:

Collinear points: points that lie on the same straight line or in a single line

Coplanar points:  three or more points which lie in the same plane

12. Point collinear with points E and G = C. Point Y

13. Point coplanar with points A, D and H = A. Point E

14. Point coplanar with points A, C and G = A. Point E

15. Point collinear with points B and D = B. Point X

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

Collinear points — Collinear points are points that lie on the same line.

Coplanar points — Any three points in space that lie on the same plane are called coplanar points.

[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]

y=4x²-1

#1

#2

Zeros are 1/2,-1/2

#3

Convert to vertex form y=a(x-h)²+k

Vertex(h,k)=(0,-1)

#4

Graph attached

Answer:

i)  [tex]y=(2x+1)(2x-1)[/tex]

ii)  [tex]x=-\dfrac12, x=\dfrac12[/tex]

iii)   (0, -1)

iv)  see attached

Step-by-step explanation:

Given quadratic:  [tex]y=4x^2-1[/tex]

Factored form

We can use the Difference of Two Squares to factor the given quadratic.

[tex]a^2-b^2=(a+b)(a-b)[/tex]

Therefore,

[tex]a^2=4x^2=(2x)^2\implies a=2x[/tex]

[tex]b^2=1=1^2 \implies b=1[/tex]

So the relation in factored form is:

[tex]y=(2x+1)(2x-1)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (2x+1)(2x-1)=0[/tex]

[tex]\implies (2x+1)=0\implies x=-\dfrac12[/tex]

[tex]\implies (2x-1)=0\implies x=\dfrac12[/tex]

Therefore, the zeros are -1/2 and 1/2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-\frac12+\frac12}{2}=0[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]\implies y=4(0)^2-1=-1[/tex]

Therefore, the vertex is (0, -1)

Answer:

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

Additional comment

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.

Answer:

a) 3

b) 1/3

Step-by-step explanation:

I've never used Brainly math before, but I can help you out with the work for these problems.

Part A

3(x + 1) - x = 15

3x + 3 - x = 15

4x + 3 = 15

4x = 12

x = 3

Part B

5(x + 2) - 2x = 11

5x + 10 - 2x = 11

3x + 10 = 11

3x = 1

x = 1/3

Hope this helps!

Answer:

a

Step-by-step explanation:

An asteroid is a minor planet of the inner Solar System. Historically, these terms have been applied to any astronomical object orbiting the Sun that did not resolve into a disc in a telescope and was not observed to have characteristics of an active comet such as a tail.

Answer:

63 km

Step-by-step explanation:

Given :

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

Calculating distance

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

65%= 234

100%= 234÷65×100

100%= 360

75%= 360÷100×75

75%= 270

= 5^-3 × 7⁰

= 1/5³ × 1. ( a^-m = 1/a^m ), ( a⁰ = 1 )

= 1/125 × 1

= 1/125 ANSWER

Answer:

heya! ^^

we've been given an expression which is as follows -

[tex]4 {}^{2} - \sqrt{25} [/tex]

let's deal with this expression by dividing it into two separate parts which may help understand better.

______________________________________

★ let's first deal with the first part which is - [tex]4 {}^{2} [/tex]

now ,

[tex]4 {}^{2} \: can \: also \: be \: written \: as \\ \\ 4 {}^{2} = 4 \times 4 \\ 4 {}^{2} = 16[/tex]

★ now , let's consider the second part which is - [tex] \sqrt{25} [/tex]

this can also be written as " 5 " since ,

[tex] \sqrt{25} = 5[/tex]

______________________________________

let's have a look at the entire expression altogether now.

[tex]4 {}^{2} - \sqrt{25} \\ \\\dashrightarrow 16 - 5 \\ \\ \dashrightarrow \: 11[/tex]

hope helpful :D

We know that, the area of a square with side being s, is given by s², so if we here assume our side of square whose area is (16/36) sq. foot being s, so we will be having :

[tex]{:\implies \quad \sf s^{2}=\dfrac{16}{36}}[/tex]

[tex]{:\implies \quad \sf s=\pm \sqrt{\dfrac{16}{36}}}[/tex]

But, as length can never be -ve, so we will be taking only +ve length, and if we solve further for s, it will yield ;

[tex]{:\implies \quad \sf s=\sqrt{\dfrac{16}{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{\sqrt{16}}{\sqrt{36}}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac46}[/tex]

[tex]{:\implies \quad \boxed{\bf{s=\dfrac{4}{6}=\dfrac{2}{3}}}}[/tex]

Well, you might be thinking that (2/3)² willn't give (16/36) rather it will give (4/9), so for this, I'm telling that (2/3) ≈ 0.66666...7 and (4/6) ≈ 0.66666...7, so it's just the same thing and also, (16/36) and (4/9) are just too the same thing, dividing the numerator and denominator of (16/36) will just lead to (4/9) as same as (2/3)²

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Answer:

x= -96

Step-by-step explanation:

1

[tex] \frac{x}{6} + ( - 9) = - 25 \\ \frac{x}{6 } = - 25 - ( - 9) \\ \\ \frac{x}{6} = - 25 + 9 \\ \frac{x}{6} = - 16 \\ x = - 16 \times 6 \\ x = - 96[/tex]

Answer:

[tex]\huge\boxed{\bf\: Equation \rightarrow \frac{1}{6}*x - 9 = - 25}[/tex]

[tex]\huge\boxed{\bf\: Solution \rightarrow - 96}[/tex]

Step-by-step explanation:

Take the variable as 'x'.

Let's breakdown the given statement.

Given equation,

⅙*x - 9 = - 25

By solving,

⅙*x - 9 = - 25

⅙*x = - 25 + 9

⅙*x = - 16

x = - 16 * 6

x = [tex]\boxed{\bf\: - 96}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

perimeter = 12 + √74

area = 17.5

Step-by-step explanation:

See the drawing below.

This is a right triangle.

The legs have lengths 5 and 7.

We can find the length of the hypotenuse using the Pythagorean Theorem.

5² + 7² = e²

e² = 74

e = √74

perimeter = 5 + 7 + √74

perimeter = 12 + √74

area = bh/2

area = 5 × 7/2

area = 17.5

We have to factorise?

Let's see

#1

Take -5ac common

#2

Done!

Answer:

Question d

[tex]\sf -10a^2c+20ac-5ac^3[/tex]

Factor out common term -5:

[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]

Factor our common term a:

[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]

Factor out common term c:

[tex]\sf \implies -5ac(2a-4+c^2)[/tex]

Question f

[tex]\sf 10c^3d-8cd^2+2cd[/tex]

Factor out common term 2:

[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]

Factor out common term c:

[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]

Factor out common term d:

[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]

Answer:

1/8

Step-by-step explanation:

1) Calculating the numerator value

2) Calculating the denominator value

The solution will be in the form :

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

__

A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

__

The hemisphere (A) and the cone (C) have the same volume.

Answer:

[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]

Step-by-step explanation:

[tex]tan(theta)=\frac{Opp}{Adj}[/tex]

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

Step-by-step explanation:

p(x)=x³-1

p(-1)=(-1)³-1=(-1)-1=(-2)

p(-1)=(-2)

p(1)=(1)³-1=1-1=0

p(1)=0

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

A:

48x³+...

B:

64x³+...

C:

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

B:

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct

Answer:

Step-by-step explanation:

1 pound = 16 ounces

16 ounces = $7.99

1 ounce = $0.50 (about)

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

Answer:

9.63 m³ = 9.63×1000 = 9630 litres (answer)

Step-by-step explanation:

hope it help

Answer:

16,667

Step-by-step explanation:

13,925 + 2,742 = 16,667

Answer:

Bonjour

Step-by-step explanation:

Reese : 13 925

Manny : 2 742 de plus que Reese donc 13 925 + 2 742

13 925 + 2 742 = 16 667

Manny a marqué 16 667 points.