A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

Answer:

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given:

Total number of sections filled = 3¹/₂ = 7 / 2 sections

Number of fraction parents watching play = 3/5

Find:

Fraction[Total number of sections filled filled with parents]

Computation:

Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play

Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]

Fraction[Total number of sections filled filled with parents] = 21 / 10 sections

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given that,

A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.

Let x represent the length of the sides of squares removed from each corner.

(a) The volume of a cuboid is given by :

V = lbh

Put values,

V = x(40-2x)(40-2x)

(b) (40-2x) = -2(x-20)

So,

V = x(40-2x)(40-2x)

= [tex]4x\left(x-20\right)^2[/tex]

(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]

It is a cubic polynomial. Its degree is 3.

9514 1404 393

Answer:

  B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

  A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

__

Multiplication by 9 is not so hard. It is multiplication by 10-1:

  15×9 = 15×(10 -1) = 150 -15 = 135

Answer:

The answer for this question is 64 square centimeters

Step-by-step explanation:

To find the area of square , the formula is :

side × side , so in this question we should do 8×8 , since one of the side is 8 cm .

8×8 = 64

Thus the answer of your question is 64

—————————————————

[tex]\mathrm{A = s²}[/tex]

[tex]\mathrm{A = (8 \: cm)²}[/tex]

[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]

[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

Answer:

Replace the 4 with a 3 to make the equation true

Answer:

All of them except a trapezoid

Step-by-step explanation:

The playground has two pairs of sides that are congruent to each other (70 = 70, 50 = 50), but a trapezoid only has ONE pair of sides that are congruent to each other; the other two are not the same. Therefore, this playground can be any shape besides a trapezoid.

Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:

125.7 inches cubed.

Step-by-step explanation:

πr^h is the formula for volume of cylinder.

Answer:

Step-by-step explanation:

31  ,  b/c it's the most common

c 32

Step-by-step explanation:

plz follow me wenelyn andoyo duay sana makatulong ako

Answer:

BC = 6.9

Step--step explanation:

Reference angle = 30°

Adjacent = BC

Hypotenuse = 8

Apply trigonometric function, CAH:

Cos 30° = Adj/Hypotenuse

Cos 30° = BC/8

8*Cos 30° = BC

6.92820323 = BC

BC = 6.9 (to the nearest tenth)

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

Answer:

5 yards

Step-by-step explanation:

3 feet is one yard. add 4 yards and 1 yard and it is five yards.

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Answer:

$15.01 an hour

Step-by-step explanation:

[tex]\frac{375.25}{25}=15.01[/tex]

Answer:

13. [tex]x^{3} y^3[/tex] cubic units

14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]

15. 2.68 × [tex]10^5[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

the graph will move 3 units to the right

graph 4 I think, although cannot see the picture well

Answer:

Step-by-step explanation:

The -3 translates the graph of x^3 3 units to the right.

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer: 128.5km

Step-by-step explanation:

Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:

= 50% × 257km

= 50/100 × 257km

= 0.5 × 257km

= 128.5km

Therefore, 50% of the distance is 128.5km.

Answer:

they are rational numbers

Answer:

C

Step-by-step explanation:

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Answer:

371 women had their pregnancy between 250 days and 282 days in length.

di po ako sure sa answer ko, but it is based on what I remembered.

Step-by-step explanation:

z=532-266

16

√500

= 371.74 or 371

Answer:

3.75 or 3 3/4

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.5/.4=3.75

Answer:

[tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]

[tex]\frac{3}{2}[/tex] ×  [tex]\frac{5}{2}[/tex]

[tex]\frac{3 times 5 }{2 times 2}[/tex]

[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

Answer:

first

Step-by-step explanation:

A= r*pi*r = pi*r²

Answer:

A.

Step-by-step explanation:

The rearranged segments form a rectangle with length (pi)r and width r.

A = LW

A = (pi)r * r

A = (pi)r^2

Answer: A.

==============================================

The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

------------

Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

-------------

Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55

Answer:

48

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex]27(27 + x) = {45}^{2} \\ 729 + 27x = 2025 \\ 27x = 2025 - 729 \\ 27x = 1296 \\ x = \frac{1296}{27} \\ x = 48[/tex]