You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 90% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required

Answer:

4 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.

So . .

= 4.5  or 4 [tex]\frac{1}{2}[/tex]

Answer: the answer is 4½. It can be as a fraction 4½ and as a decimal 4.5.

Step-by-step explanation: when you find the volume , you will multiply the base area times the height . So Multiply them all .

1½ ×1½ × 2 = 4 ½ or 4.5 .

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Answer:  2/5

Step-by-step explanation;

Answer:

2.192

Step-by-step explanation:

Answer:

what do you need help with

Step-by-step explanation:

Answer: 13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

The 29.2 ounce bottle is better

Step-by-step explanation:

13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

find the ratios

13.5/2.19 = $6.16 per unit

29.2/5.37 = $5.44 per unit

Step-by-step explanation:

[tex]4 {x}^{2} - 3x + 2 = 0[/tex]

We know that,

For the given quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

On comparing with the given equation we get

a=4,b=(-3),c=2

On substituting we get,

[tex]x = \frac{ - ( - 3) ± \sqrt{ {( - 3)}^{2} - 4(4)(2)} }{2(4)} [/tex]

[tex]x = \frac{3 ± \sqrt{9 - 32} }{8} [/tex]

[tex]x = \frac{3 + \sqrt{23}i }{8} or x = \frac{3 - \sqrt{23}i }{8} [/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{solve \: for \: x}[/tex]

[tex] \sf \red{ \bold{4x^{2} - 3x + 2 = 0}}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Here,

a = 4, b = - 3 and c = 2

By, using Quadratic formula, we get:

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4.a.c } }{2.a} \\ \\ = \frac{ - ( - 3) \pm \sqrt{ { (- 3)}^{2} - 4 \times 4 \times 2 } }{2 \times 4} \\ \\ = \frac{3 \pm \sqrt{9 - 32} }{8} \\ \\ = \frac{3 \pm \sqrt{23} }{8} \\ \\ = \frac{3 \pm4.79}{8} [/tex]

Either,

[tex] \frac{3 + 4.79}{8} \\ \\ = \frac{7.79}{8} \\ \\ = 0.97[/tex]

Or,

[tex] \frac{3 - 4.79}{8} \\ \\ = \frac{ - 1.79}{8} \\ \\ = - 0.23[/tex]

[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]

Answer:

The answer is a

Step-by-step explanation:

If the triangles are congruent, then angle K will be the same as angle N

The triangles are congruent and the measures of angle  ∠K ≅ ∠N

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the triangles are congruent

So , ΔJKL ≅ ΔMNP ( given )

And , Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

So , the measures of angles are also similar

Hence , the angles are similar ( ∠K ≅ ∠N )

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The correct answer would be a square

Answer:

Positive

Step-by-step explanation:

As the "y" value of the coordinates increases from 3 to 5, the slope must be positive as the "x" value increases.

Answer:

t=63

Step-by-step explanation:

2t = 126

t=63

Answer:

26

Step-by-step explanation:

[tex]we \: rounded \: it \: to \: the \: nearest \: whole \: number[/tex]

The number of minutes Fred takes to spell check 4 pages will be around 26 minutes.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Spell check 5 pages   ⇔  In 32 minutes

Divide by 5 ;

Spell check 1 page   ⇔  In 32/5 minutes.

Multiply by 4 ;

Spell check 1 × 4 pages   ⇔ In (32/5) × 4 minutes

Spell check 1 × 4 pages   ⇔ In 25.6 ≈ 26 minutes.

Hence Spell will take around 26 minutes to spell check 4 pages.

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Answer:

56 days

Explanation:

[tex]\sf Half \ Life : A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }[/tex]

where A is final amount, Ao is initial amount, t is time taken, h is half life

Here given:

initial amount: 400 millicuries

final amount: 3.125 millicuries

half life: 8 days

time taken: ?

Hence solve for time taken:

[tex]\sf \rightarrow A = A_O \ x \ (\dfrac{1}{2} )^{\dfrac{t}{h} }[/tex]

insert values given

[tex]\sf \rightarrow 3.125 = 400 \ x \ (\dfrac{1}{2} )^{\dfrac{t}{8} }[/tex]

divide both sides by 400

[tex]\sf \rightarrow (\dfrac{1}{2})^{\dfrac{t}{8}}=0.0078125[/tex]

apply exponent rule

[tex]\sf \rightarrow {\dfrac{t}{8}}=\dfrac{ln(0.0078125)}{ln(1/2)}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{t}{8}=7[/tex]

multiply both sides by 8

[tex]\rightarrow \sf t = 56[/tex]

The difference in sizes in real life of the two scale drawing is  10 feet.

They hired two different architect to create a blueprints for the house.

Anderson Architects uses a scale of 1 in. to represent 1.5 feet.

Therefore,

1 inches = 1.5 feet

Real life size of 12inches by 12 inches

12 inches = ?

size = 12 × 1.5 / 1 = 18 feet

Charleston Architects uses a scale of 1.5 inches to represent 1 foot.

Therefore,

1.5 inches = 1 foot

Hence,

Real life size of 12inches by 12 inches

12 inches = ?

size = 12 / 1.5 = 8 feet

Therefore, the difference in real life is 18 - 8 = 10 feet.

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Based on the vertical angles theorem, the measure of angle 1 is: 48°.

Vertical angles are always directly opposite each other and are formed when two straight lines crosses each other.

In the diagram given, the angle that is directly opposite angle is 48°, since it is an alternate angle to 48° formed on lines m and n (lines k and l are parallel lines).

Therefore:

m∠1 = 48° (vertical angles)

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Answer:

X = 9

Step-by-step explanation:

Yes it´s 9 as said in the question

Answer:

(-4)³ = -64

(4)⁻³ = 1/64

Step-by-step explanation:

[tex]( - 4) {}^{3} = ( - 4) \times ( - 4) \times ( - 4) = - 64 \\ [/tex]

[tex] {4}^{ - 3} = (\frac{1}{4} ) {}^{3} \\ [/tex]

[tex] ({ \frac{1}{4} )}^{3} = \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} \\ [/tex]

Answer:

unsig elimination method to solve simultaneous equations

The function shown in the graph is the parabolic function with its vertex at (-1, -2). Then the value of the function f(1) is 2.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is given below.

At x = 1, the value of the function will be

f(1) = 2

Then the function shown in the graph is the parabolic function with its vertex at (-1, -2).

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Answer:

Goals are easier to achieve in small steps.

Step-by-step explanation:

In the story she scared and she dont want to run a mile but when she tried to run and aim for that goal she finish the 1 mile without noticing it so it better if you take little by little each time to conquer your fear :)

The simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]

The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.

The simplification of the given expression will be:

[tex]=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}[/tex]

hence  the simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]

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Answer:

151 in

Step-by-step explanation:

circumference = 2πr

where r = radius

given radius appears to be 24 so r = 24

so we have C = 2πr and r = 24 and we use 3.14 for π

So C = 2(3.14)(24)

==> multiply 2 and 3.14

C = 6.28(24)

==> multiply 6.28 and 24

C = 150.72

The closest answer is 151 so that is the answer

Answer:

$45

Step-by-step explanation:

To solve the question we need to calculate what 10% of 450 is and to do that we multiply 450 with 10 an divide that by 100

450 x 10 / 100 = 45

This is the amount of commission she made last month.

Answer:

2.08

Step-by-step explanation:

logb 2 = 0.693

b^0.693 = 2

b = 0.693√2

log(0.693√2) 8

log 8 / log(0.693√2)

2.079

2.08

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

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Answer:

avg. hour per student is 2.266666667

Step-by-step explanation:

68/30 = 2.266666667

[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]