Find each percent increase. Round to the nearest percent

Step-by-step explanation:

Hey there!

To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).

Given;

[tex] {x}^{2} = 16[/tex]

Taking (square) to right side. It becomes ± square root.

[tex]x = + - \sqrt{16} [/tex]

[tex]x = + - \sqrt{ {4}^{2} } [/tex]

Cancel square and square root.

[tex]x = + - 4[/tex]

Therefore, X = ±4

Hope it helps...

Answer:

There are two I results found which is x=4 and x=-4

Step-by-step explanation:

Step by Step Solution:

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^2-(16)=0  

Step by step solution :

STEP

1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  x2-16  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Factorization is :       (x + 4)  •  (x - 4)  

Equation at the end of step

1 :

 (x + 4) • (x - 4)  = 0  

STEP

2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+4 = 0  

Subtract  4  from both sides of the equation :  

                     x = -4

Solving a Single Variable Equation:

2.3      Solve  :    x-4 = 0  

Add  4  to both sides of the equation :  

                     x = 4 and/or x=-4

Answer:

48.55

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Convert 70 into 70.00 and then it will be easier to subtract.

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.

So, [tex]p_1=0.9[/tex]

Sample size, [tex]n_1=500[/tex], is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]

Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]

[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, [tex]X\geq 440.[/tex]

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by [tex]p_2[/tex].

[tex]p_2=0.94[/tex]

The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].

Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]

Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]

[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.

So,

[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]

On solving

[tex]\alpha= 0.977896[/tex]

Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let [tex]p[/tex] be the probability that one bearing meets the specification. So

[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]

On solving

[tex]p=0.9053[/tex]

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

The manufactures bearings.

As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.

the answer is 0.94, 0.20, and 90.53%.

Learn more about the manufactures bearings.

brainly.com/question/15686369.

Answer:

Step-by-step explanation:

Well, Marcus ran farther obviously. How is this even a question. 3 kilometers is way bigger than 1 kilometer. Do 3.2 - 1.95 to get 1.25 km

Answer:

z= -55 / 5-y

the line is a divided by sign you put 55 on top and the 5-y on bottom

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

Answer:

True is corect

Step-by-step explanation:

true = true

Answer:

28 action movies

Step-by-step explanation:

I hope this helps!

Answer:

x=4

Step-by-step explanation:

thats the answer ^^

Answer:

its the second one

Answer:

∫₁⁵ 2t (t² + t³) dt

Step-by-step explanation:

The area is ∫ₓ₁ˣ² y dx.  To parameterize, replace x₁ and x₂ with t₁ and t₂.  Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.

x = 5 + t², so dx = 2t dt.

∫₁⁵ (t² + t³) (2t dt)

∫₁⁵ 2t (t² + t³) dt

Answer:

y=3x-2

Step-by-step explanation:

find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).

75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

penguin walks 10 feet in 6 seconds

At the same rate we need to find the distance walked by penguin in 45 seconds

Let x be the distance travelled by penguin in 45 seconds

10/6=x/45

Apply cross multiplication

45(10)=6x

450=6x

Divide both sides by 6

x=75

So 75 feet the penguin walk in 45 seconds.

Now let us find how long it takes for penguin to walk 45 feet.

Let x be the time

10/6=45/x

Apply cross multiplication

10x=270

Divide both sides by 10

x=27

In 27 seconds the penguin walk 45 feet.

Hence,  75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

Answer:

The value of x is 4 and y is -1 .

Step-by-step explanation:

First, you have make any term to have the same coefficient. So I will choose x term :

[tex]6x + 5y = 19 - - - \times 2[/tex]

[tex]12x + 10y = 38 - - - (1)[/tex]

[tex]4x + 6y = 10 - - - \times 3[/tex]

[tex]12x + 18y = 30 - - - (2)[/tex]

Next, you have to solve it by Elimination method :

[tex](1) - (2)[/tex]

[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]

[tex] - 8y = 8[/tex]

[tex]y = - 1[/tex]

[tex]substitute \: y = - 1 \: into \: (1)[/tex]

[tex]12x + 10( - 1) = 38[/tex]

[tex]12x - 10 = 38[/tex]

[tex]12x = 38 + 10[/tex]

[tex]12x = 48[/tex]

[tex]x = 4[/tex]

Answer: the answer is 2

Step-by-step explanation:

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

Answer:

512 ounces

Step-by-step explanation:

Answer:

512 ounces of liquid

Step-by-step explanation:

Answer:

the answer is89 why 838+3838+3838×908=72

Answer:

x = 13

Step-by-step explanation:

3x = 6x - 39 solve for x

Answer:

16.67%

Step-by-step explanation:

1. Take 1 divided by six : 1/6 = 0.16666 . . .

2. Multiply by 100 to get a percent: 16.67%

35% of 80 is 28.

Answer is 80.

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

Answer:

0.090

Step-by-step explanation:

In the number 0.496, the number 9 is in the hundredths place.

0.496

The value of 9 in 0.496 is 9 hundredths, or 0.090.

Hope this helps.

Answer: 9 hundredths or 0.09

idk i am in 6th grade idk

Answer:

39,443

-

3,757=

36, 3 1 1 4

Answer:

Hi There

Your answers are:

4) 12/3

-10) YES!

0/10) 0 (zero)

2 & 3/4 ) 11/4

10 & 1/2 ) 21/2

.3) 3/10

-.16) -4/ 25

3.17) 3 & 17 /100

.3 repeating ) YES

.16 repeating) 1/ 6

-1.2 repeating ) YES!

If a decimal does not terminate or repeat is is not a rational number

Step-by-step explanation:

For 4)

4/1 = 12/x

Ask yourself, how do i get from 4 to 12?

Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!

4/1 * 3/3 = 12/3

For -10 )

-10/1 = -20/2

Simplify -20/2!

Divide -20 by 2 = -10

-10/1 = -10/1 YES!

For 0/10 )

When you have ZERO tenths, what does that equal? Zero!

For 2 & 3/4ths )

To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator

(2*4 +3) / 4

8+3 / 4 = 11/4

For 10 & 1/2 )

Repeat what you did for 2& 3/4ths!

(10*2+1)/2

20+1/2

21/2

Answer:  y = 5

Step-by-step explanation:

If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis).   0 slope means it is flat.

Here it passes through the y-axis  at +5 and passes through every value of x.

Answer:

2/6 is equivilent to 1/3

Step-by-step explanation:

You simplify it and then divide by the biggest number that goes into both.After,dividing you get 1/3.Your welcome.