suppose that 47% of americans are iphone users. (a) if a random sample of 100 americans are surveyed, what is the probability that the proportion of the sample who are iphone users is between 45% and 50%? (b) if a random sample of 50 americans are surveyed, what is the probability that more than 50% of americans are iphone users?

Answer:

x = -12

Step-by-step explanation:

x/-3 + 5 - 5 = 9 - 5

x/-3 = 4

x/-3 (-3) = 4(-3)

x = -12

The quiz consists of 40 problems and it solved by a linear equation.

What is the linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Assume that the quiz consists of n problems.

Denise did 7/8 of the problems correctly.

If the total number of problems of the quiz is n, the number of answers that are correct is (7/8)× n.

The number of incorrect problems are 5.

Total number of problems those are done by Denise is { (7/8)× n}+5.

Assume that Denise attempts all problems.

Now making a linear equation:

{ (7/8)× n}+5 = n

(7n)/8+5 = n

(7n+40)/8 = n

(7n+40) = 8n

Subtract 7n from both sides:

7n+40 -7n = 8n - 7n

40 = n

The number of problems in the quiz is 40.

To learn more about linear equation, you visit below link:

https://brainly.com/question/13738061?

#SPJ4

Angle are ,x = 45 and y = 45

acc to our question-

Hence,Angle are ,x = 45 and y = 45

learn more about angles click here:

brainly.com/question/25716982

#SPJ13

The proportion of bottles that will have more than 18 ounces dispensed into them is 0.0228

Proportion relationship:

Proportion means a relationships between two variables where their ratios are equivalent and it is the way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Given,

A company that manufactures and bottles apple juice uses a machine that automatically fills 20-ounce bottles. there is some variation, however, in the amount of liquid dispensed into the bottles. the amount dispensed has been observed to be approximately normally distributed with mean 20 ounces and standard deviation 1 ounce.

Here we need to determine the proportion of bottles that will have more than 18 ounces dispensed into them and round the answer to the four decimal places.

Here we have to use tables to determine the proportion of bottles that will have more than 18 ounces dispensed into them.

Let us consider X denote the amount of juice dispensed.

Then it can be written as,

P (X >18) = P (Z > (20 - 18)/1)

=> P (X >18) = P (Z > 2)

=> 1 - Ф(2)

=> 1 - 0.9772

=> 0.0228

Hence the proportion of the bottles that will have more than 18 ounces dispensed into them is 0.0228.

To know more about Proportion relation here.

https://brainly.com/question/3314314

#SPJ1

Answer:

264,600

Step-by-step explanation:

249 ÷ 83 = 3

88,200 ×3 = 264,600

If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.

Using Pythagoreans theorem formula to find the distance

d² =  a² + b²

Where:

d = distance =?

a= east for 33 miles

b = 56 miles south

Let plug in the formula

d = √33² + 56²

d = √ 1089 + 3136

d = √4225

d = 65 miles

Therefore the correct option is C.

Learn more about distance here: https://brainly.com/question/23848540

#SPJ1

Barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.

Given:

Tyler uses 7.5 ounces of barbecue sauce from a full bottle ,he estimates that he used about 25% of the barbecue sauce in the bottle.

25% = 7.5

multiply by 4 on both sides

25%*4 = 7.5 * 4

100% = 75/10 * 4

= 300/10

Full bottle = 30 ounces.

b.

Tyler uses 20% of the remaining barbecue sauce.

Remaining sauce = 30 - 7.5

= 22.5

= 22.5*20/100

= 2.25*20/10

= 2.25*2

second time= 4.50 ounces

Therefore barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.

Learn more about the Barbecue sauce here:

https://brainly.com/question/9880550

#SPJ1

The solution of the given inequality is when the value of x is greater than or equal 2.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given expression is 3(x-3) -5 (3x-2)≤ 25.

Therefore, the given inequality can be solved as,

3(x-3) - 5(3x-2) ≤ 25

3x - 9 - 15x + 10 ≤ 25

-12x + 1 ≤ 25

-12x ≤ 25 - 1

-12x ≤ 24

x ≥ 2

Hence, the solution of the given inequality is x ≥ 2.

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ1

After simplification, the second option |−4| < |−5| is true.

In the given question,

There are four options. We have to check which option is true.

The given options are

1) |−5| < 4

2) |−4| < |−5|

3) |−5| = −5

4) |−4| > |5|

To find the true option we solve the given option one by one.

The first option is

|−5| < 4

Now solving

As we know that every value from the mod always give positive value.

So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.

Now solving the second statement.

|−4| < |−5|

After solving |−4|, the value is 4 and |−5| is 5.

So the simplified statement is 4 < 5 which is true.

Hence, the second statement is true.

Now we get the true statement so we haven't solve any further option.

If you want the solve next option the the way of solving the option is same.

Hence, the second option |−4| < |−5| is true.

To learn more about simplification link is here

brainly.com/question/8874934

#SPJ1

Step-by-step explanation:

imagine a circle with J being the center, and JK being the radius.

then

sin(J) = 15.1/JK

cos(J) = 9.4/JK

we have one trigonometric function, where we don't need to calculate JK first : tangent.

tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =

= 1.606382978...

J = 58.09705252...° ≈ 58.1°

The  equivalent monthly growth rate is 7.2 %

Since the number of computer security breaches is expected to increase at a yearly rate of 86%. Using the exponential growth model we need to determine the equivalent monthly rate

.

The exponential growth model is given by y = A(1 + r)ⁿ where

This is the rate at which the function increases.

Since the number of computer security breaches is expected to increase at a yearly rate of 86% we have that the growth rate, r = 86% per year.

To find the monthly growth rate, we covert this to per month by dividing by 12.  

So, the monthly growth rate r' = r/12

= 86%/12

= 7.16 %

≅ 7.2 %

So, the  monthly growth rate is 7.2 %

Learn more about monthly growth rate here:

https://brainly.com/question/28167167

#SPJ1

Answer:

5.3%

Step-by-step explanation:

I took the test.

Answer: no clue

Step-by-step explanation: i don't know Spanish lol

Answer:

Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.

Answer:

n = 7

Step-by-step explanation:

The equation is,

→ n - 3n = 14 - 4n

Now the value of n will be,

→ n - 3n = 14 - 4n

→ -2n = 14 - 4n

→ -2n + 4n = 14

→ 2n = 14

→ n = 14/2

→ [ n = 7 ]

Hence, the value of n is 7.

Step-by-step:

1)Combine multiplied terms into a single fraction

1/7a+ 1/7

1a/7+1/7

2)Multiply by 1

3)Combine fractions with a common denominator

Solution

a+1/7

Hope That helps!

The new price of the flight is $208.25

In this question, we have the following parameters

Discount proportion = 15%

Cost of flight = $245

This means that

New price = Cost of flight x (1 - Discount proportion)

Substitute the known values in the above equation, so, we have the following representation

New price = $245 x (1 - 15%)

Evaluate the product

New price = $208.25

Hence, th new price is $208.25

Read more about discounts at

https://brainly.com/question/7459025

#SPJ1

Answer:

it's not possible

because Z^2 = Z*Z

and the condition to multiply two arrays is :

( the column in first array have to equal the row in the second array)

The required value of t according to the given question is - 8.

Given points are (-2,t) and (-1,-6)

Now let these two points be considered as

A and B that is let the points be A(-2,t) and B(-1,-6)

To find the slope of the graph we will use the formula m = y - y₁ / x - x₁

Given y = ty₁ = - 6x = - 2 x₁ = - 1

Thus on substituting these values in the above mentioned formula we will get m = t + 6 / - 1

Also given slope or m = 2Thus 2 = - t - 6 t = - 6 - 2 t = - 8

Thus the required value of t is - 8.

To know more about slope or graph you may visit the link which is mentioned below;

https://brainly.com/question/16180119

#SPJ13

The correct options are that Multiply by 5 on both sides of the equation.

7 × 5 = 35. thus Dolev had 35 pretzels.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;

p / 5 = 7

In order to determine the value of p, the following steps would be taken :

Now Multiply both sides of the equation by 5:

p = 7 x 5

Then Determine the product of the numbers :

7 x 5 = 35

The correct options are; that Multiply by 5 on both sides of the equation.

Dolev had 35 pretzels.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ1

This is a "completely randomized" type of experiment design.

In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.

The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.

Thus the above approach is right.

Learn more about experiment design here:

brainly.com/question/14925159

#SPJ4

I hope this helps!

42x +55y =380

Answer:

3

Step-by-step explanation:

The value of the operation is 3.

The first step is to solve for the terms in the brackets.

The decimals would be added first 8.7 + 3.3 = 12 

The second step is to determine the square of one-half² =  x  = 1/4 

The third step is to multiply, 1/4 by 12 1/4 x 12 = 3

The evaluation of the rational algebraic expression  are presented as follows;

1.  [tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]

2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2 + 2\cdot x \cdot y + y^2}{x \cdot y}[/tex]

3. [tex]\dfrac{3 \cdot x + 1}{x^2+2\cdot x +1} +\dfrac{5}{2\cdot x + 8} =\dfrac{11\cdot x^2 +36\cdot x +13}{2\cdot x^3 + 12\cdot x^2 + 18\cdot x+ 8}[/tex]

A rational algebraic expression is an algebraic expression that consists of a quotient and divisor that consists of variables and numbers.

1. [tex]\dfrac{1}{3} + \dfrac{2}{5}[/tex]

[tex]\dfrac{1}{3} + \dfrac{2}{5} = \dfrac{5\times 1 + 2 \times 3}{3\times 5} =\dfrac{5 + 6}{15}[/tex]

[tex]\dfrac{5 + 6}{15} = \dfrac{11}{15}[/tex]

Therefore, we get;

[tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]

2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y}[/tex]

[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}[/tex]

[tex]\dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}= \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]

Therefore;

[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]

3. [tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}[/tex]

[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8} = \dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)}[/tex]

[tex]\dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)} = \dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]

[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}=\dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]

Learn more on algebraic expressions here: https://brainly.com/question/17372971

#SPJ1

Answer:

8.31

Step-by-step explanation:

-6n² = -414

[take away negative]

6n² = 414

[divide by 6]

n² = 69

n = 8.3066 (to 5 significant figures)

n = 8.31 (to 3 significant figures)

Answer:

See below

Step-by-step explanation:

Amount = 100 (1/2)^x

after 3 days

    amount = 100 ( 1/2)^3 = 12.5 gm left

The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ1

Answer:A is 7 B is -1 C is -9 D is -13

Step-by-step explanation: I hoped i  have helped u! Have a wonderful day!

Answer:

Step-by-step explanation:

Answer: 108

Step-by-step explanation:

6 x 6 x 6=10

The polygon's WXYZ and ABCD are similar.

What is similar figures?

The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.

Consider, the polygons WXYZ and ABCD

The angles, "∠W and ∠A"  and "∠Y and ∠C" are congruent to each other.

Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.

Now consider, the sides

The sides "WZ and AD", "XY and BC"  and "WX and AB" , "ZY and DC" are having the equivalent ratio.

Therefore, the polygons WXYZ and ABCD are similar.

To know more about the similar figures, click on the link

https://brainly.com/question/14285697

#SPJ1