A particular extension cord can support up to 8 amps. Martino has an iron whose label states 720 watts, and he wonders if the iron can be plugged into the extension cord. If watts are converted to amps by dividing by 144, how many amps does the iron use?

Answer:

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Using the binomial distribution, it is found that there is a 0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that among the students in the sample at least 6 are female is given by:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.6)^{6}.(0.4)^{2} = 0.2090[/tex]

[tex]P(X = 7) = C_{8,7}.(0.6)^{7}.(0.4)^{1} = 0.0896[/tex]

[tex]P(X = 8) = C_{8,8}.(0.6)^{8}.(0.4)^{0} = 0.0168[/tex]

Then:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) = 0.2090 + 0.0896 + 0.0168 = 0.3154[/tex]

0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

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Answer:

1388.13

Step-by-step explanation:

So, the formula for a cylinder is V=pi x R^2 x H

We plug in what we know.

V=3.14x4^2x27.63

V=3.14x16x27.63

V=50.24x27.63

V=1388.13

Answer:

13.05%

Step-by-step explanation:

[tex]\begin{aligned}\sf Percentage\:increase &= \sf\dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{25507.59-22562.25}{22562.25} \times 100\\\\& = \sf \dfrac{2945.34}{22562.25} \times 100\\\\& = \sf 0.1305428315 \times 100\\\\& = \sf 13.05 \% \:(2\:dp)\end{aligned}[/tex]

Brainly 505 Server Error

Answer:

x>4

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

1. 4x+3>3x+7

2. x>4

Answer:

989

Step-by-step explanation:

The largest difference could be possible between Largest 3 digit number and smaller two digit number

I.e,

999-10=989

Answer:

This one is just 15+15+7+7 then divide by the preciptical

Step-by-step explanation:

add 15+15+7+7=44/2=22

Answer:

The teacher bought 113 crayons.

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

Answer:

only one.

We can construct onle one triangle with unique measurements.

Answer:

1 triangle can be constructed

Step-by-step explanation:

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

[tex]\frac{A}{P} = (1 + \frac{r}{n})^{nt}[/tex]

Taking logs on both sides

[tex]log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}[/tex]

This gives

[tex]log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}[/tex]

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

When added together the 4 angles need to equal 360

x = 360 -66-95-114

X = 85

Answer:

xy represents the diameter of the circle

Option A.

Hope it helps.

Answer:

A

Step-by-step explanation:

|5x+2|=8 this mean that:

5x+2=8 and 5x+2=-8

5x+2-2+8-2 and 5x+2-2=8-2

5x=6 and 5x=-10 then divided both sides by 5

x=6/5 and x=-2

Answer:

see below

Step-by-step explanation:

cicumference= 2*pi*r

=2*(22/7)*6

=(2*22*6)/7

=264/7

=37.71

Answer:

last one

Step-by-step explanation:

after solving that, i got the same answer from the orginail one:

x=1,x=8

The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x

We need to determine the proportion equivalent to this,

So, taking the LHS,

1/2 + 1/2x

= 2+2x / 4x

= 2(x+1) / 4x

= x+1 / 2x

Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

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The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1

Also, the angular frequency = 2π * 1/5π = 0.4

The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

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Answer:

C

Step-by-step explanation:

Edge 2022

Answer:

The perimeter of the triangle is 11x+1

Answer:

The answer is 20

Step-by-step explanation:

Now, we know that their ages are consecutive integers.

Let their ages be (x), (x + 1), (x + 2) and (x + 3). Where, Mariana's age is x.

Here, The sum of their ages is 86.

(x) + (x + 1) + (x + 2) + (x + 3) = 86

x + x + 1 + x + 2 + x + 3 = 86

4x + 6 = 86

4x + 6 – 6 = 86 – 6

4x = 80

4x/4 = 80/4

x = 20

We assumed that Mariana's age is x and the value of x is 20.

Thus, The age of Mariana is 20.

The graph simply shows the distribution with the area corresponding to the information about the lawyer representing a Hispanic individual in a criminal trial.

A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.

Here, the probability that a juror is hispanic = p = 0.55 and the number of jurors = n =12

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The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:

x + y > 100   (1)

Also:

2x + 5y ≥ 350    (2)

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: - 6 - 5(6x - 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - [(5 \cdot6x) - (5 \cdot4)][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - (30x - 20)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 -30x + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 30x + 14[/tex]

I hope you understood the whole procedure ~

Answer:

1. x values

2. y values

hope it helps you:)

Answer:

the answer is 117

sorry if wrong but that is what I got

Step-by-step explanation:

[tex] = - 39 \div \frac{1}{ 3} \\ [/tex]

[tex] = - \frac{39}{1} \times \frac{3}{1} \\ [/tex]

[tex] = - \frac{117}{1} \\ [/tex]

[tex] = - 117 [/tex]

go on desmos and see what the graph looks like

Answer:

Domain for n is All integers where n ≥ 1.

Step-by-step explanation:

In arithmetic sequence,

where a is first term.

d is common difference.

n is number of terms.

Now, in given sequence recursive formula for nth term in

the number of term is n and it belongs to natural number.

Hence, domain for n is All integers where n ≥ 1.

Have a wonderful day/night/afternoon and stay safe my friends

Answer:

I have got the answer

Step-by-step explanation:

Let the roots of 2x² + 3x - 1 = 0 be a and

To find:

The quadratic equation whose roots are 3a

Solution:

See picture attahed

The rest of explanation is given in your previously asked question see there I have also answered it

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

This is one of the many possible responses:

Different kinds of balls bounce to different heights when dropped on the same floor.

Sugar dissolves faster in hot milk than in cold milk.

Plants grow more slowly when they are not near a window.