13x-12 = 7x-6
What is the value of x?

Answer:

a. True

Step-by-step explanation:

Calculus is the mathematical study of continuous change. Calculus is usually developed by working with very small quantities. Calculus has two major branches, which are,  differential calculus and integral calculus. Differential calculus involves instantaneous rates of change, and the slopes of curves, while integral calculus deals with the accumulation of quantities, and areas under or between curves.

If a manufacturer have a normally distributed lifespan, with a mean of 11.6 years, and standard deviation of 1.3 years, the probability that a randomly purchased item will last longer than 14 years is 0.966 or 96.6%.

We can use the standard normal distribution to calculate the probability that an item will last longer than 14 years. First, we need to calculate the z-score:

z = (14 - 11.6) / 1.3 = 1.846

Next, we can use a standard normal distribution table or a calculator to find the probability associated with a z-score of 1.846. Using a standard normal distribution table, we find that the probability is 0.9664.

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Answer:

U want their avarege watch time or

Answer:

The answer is D. = 0.99

Answer:

y-intercept: 0

Step-by-step explanation:

Write it in slope-intercept form. Brainly removed my step-by-step explanation with lots of equations that took me a while to write on here so I'm just putting this for the explanation. Hope it suffices.

Answer:

0.2210

Step-by-step explanation:

If p = 0.04

then 1-p = 1 - 0.04 = 0.96

So we have the probability distribution value

as;

n C r * p^r * (1-p)^(n-r)

Thus;

64 C 3 * p^3 * (1-p)^(64-3)

= 64 C3 * 0.04^3 * 0.96^61

where 64 C 3 is 64 combination 3

= 41,664 * 0.04^3 * 0.96^61

= 0.2210

Answer:

4 Years.

Step-by-step explanation:

Principle ⇒ 2000

Interest ⇒ 400

Rate ⇒ 5%

Time ⇒ _

Simple interest ⇒ p * x * t / 100

⇒ 400 = 2000 * 5 * t / 100

⇒ 400 = 200 * 5 * t / 10

⇒ 400 = 20 * 5 * t

⇒ t = 400 / 20 * 5

⇒ t = 40 / 2 * 5

⇒ t = 20 / 5

⇒ t = 4

Answer:

3a = \(\frac{9}{2}\)

Step-by-step explanation:

Given

2a + 4b = 5 ← substitute a = 3b into the equation

2(3b) + 4b = 5

6b + 4b = 5

10b = 5 ( divide both sides by 10 )

b = \(\frac{5}{10}\) = \(\frac{1}{2}\)

Now

a = 3b = 3 × \(\frac{1}{2}\) = \(\frac{3}{2}\) , thus

3a = 3 × \(\frac{3}{2}\) = \(\frac{9}{2}\)

Answer:

The value of 3a = 9/2

Step-by-step explanation:

Given the expression

\(2a+4b=5\)

Given that a is equal to three times b. so,

\(a = 3b\)

plug in a = 3b in the expression

\(2a+4b=5\)

\(2(3b) + 4b = 5\)

\(6b+4b = 5\)

Adding like terms: 6b+4b = 10b

\(10b = 5\)

Dividing both sides by 10

\(\frac{10b}{10}=\frac{5}{10}\)

simplify

\(b=\frac{1}{2}\)

so

a = 3b ⇒ a = 3(1/2) = 3/2

Therefore, the value of 3a can be determined by substituting a = 3/2 in 3a.

3a = 3(3/2) = 9/2

Therefore, the value of 3a = 9/2

Answer:

i think it's 4

Step-by-step explanation:

 2

+2

-------

4

Answer:

The answer is "\(\bold{10\sqrt{2}}\)".

Step-by-step explanation:

Equation of the parabola:

\(\to y=ax^2 \ \ \ \ \ \ \ \ \ _{where}, (x,y) _{are} (10,10) \\\\\\)

\(\to 10=a(10)^2\\\\\to 10=100a\\\\\to a=\frac{10}{100}\\\\\to a= \frac{1}{10}\\\)

if the value of a= \(\frac{1}{10}\) then put the value into the equation:

\(\to y=\frac{x^2}{10}\\\\\)

when depth of water y=5

\(\to 5=\frac{x^2}{10}\\\\\to x^2=50\\\\\to x=\pm\sqrt{50}\\\\\)

So, width:

\(\to 2\sqrt{50}=2\sqrt{25 \times 2}\\\)

             \(=2 \sqrt{5^2\times 2}\\\\=2\times 5 \sqrt{2}\\\\=10\sqrt{2}\)

Answer:

AB = 3.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the length of prism )

Here V = 84 and h = 12 , thus

12A = 84 ( divide both sides by 12 )

A = 7 ← area of Δ ABC

Thus

\(\frac{1}{2}\) × 4 × AB = 7

2AB = 7 ( divide both sides by 2 )

AB = 3.5 cm

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Answer:

80 packages

Step-by-step explanation:

0.0075*80= 0.6            5.5 + 0.6= 6.1

Answer:

Step-by-step explanation:

Answer:

can you make it so its not green and easier to read please and thank you and once you do that then maybe i can try to help you

Step-by-step explanation:

1  1/4

Step-by-step explanation:

Answer:

m = \(-\frac{31}{18}\)

Step-by-step explanation:

\(m = \frac{16 - -15x}{0-18}\)

Answer:

its obviously 1.21 meters

Step-by-step explanation:

Answer:

1.21 meters more

Step-by-step explanation:

It's asking how much further did Karen jump. So, you would subtract Grace's from Karen's.

6.8-5.59=1.21

Answer:

slope = 1/2

y-intercept = 0,2

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

(5x + 14)° + (x + 19)° + (2x + 19)° = 180°

8x + 52 = 180

8x = 128

x = 16

Answer:

m>1

Step-by-step explanation:

Let's solve your inequality step-by-step.

m−3>−2

Step 1: Add 3 to both sides.

m−3+3>−2+3

m>1

Hopefully that helped

The solution to the given inequality is m>1.

Important information:

Add 3 on both sides of the inequality.

\(m-3+3>-2+3\)

\(m>1\)

Therefore,  the solution of the given inequality is \(m>1\).

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Answer:

Step-by-step explanation:

pitch=4/12=1/3

The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.

Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.

Here,

Sample size=64

Standard deviation= 9.6

Error=Standard deviation/Sample size

=σ/√n

=9.6/√64

=9.6/8

=1.2

The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.

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Answer:

vertical

Step-by-step explanation:

∠ 1 and ∠ 3 are vertically opposite angles or simply vertical

Answer:

vertically opposite angles

Answer:

y = -3/4x + 7

Step-by-step explanation:

ok first u need to find the slope so use the slope equation for this (x2 - x1 over y2 - y1) so

1 - 4 = -3

8 - 4 4

so the m is -3/4

now you need to find the y intercept so pick one of the points (let's do (8, 1)) and plug that into the slope intercept form (y = mx+b)

so 1 = -3/4(8) + b

1 = -6 + b

+ 6 + 6

b = 7

so the equation is y = -3/4x + 7. hope this helps

Answer:

I think the answer is

Step-by-step explanation:

8.20 a.m

I don't know it's a guess

Answer:

A. 8:00

Step-by-step explanation:

25 + 15 + 35 = 75 minutes

so that’s a hour so he needs to wake up at 8:00 to be there at 9:15

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles