Please help. Will give Brainliest!!

The normal approximation to the binomial is when you use a continuous distribution (the normal distribution) to approximate a discrete distribution (the binomial distribution).

(-2, 5) Minimum

Step-by-step explanation:

y-5=(1/3)(x + 2)²

y-5=(1/3)(x²+4x+4))

y-5=1/3x²+4/3x+4/3

y=1/3x²+4/3x+4/3+5

y=1/3x²+4/3x+4/3+15/3

y=1/3x²+4/3x+19/3

graph is attached

x= -b/2a

x= (-4/3)/2(1/3)

x= (-4/3)/(2/3)

x= (-4/3)*(3/2)

3's cancel

x= (-4/1)*(1/2)

x = -4/2

x = -2

plug -2 back into

y=1/3x²+4/3x+19/3

y=1/3*4+4/3*-2+19/3

y=4/3-8/3+19/3

y=15/3

y=5

(-2,5)

if a is positive

graph looks like a smile

so minimum

if a is negative

graph looks like a frown

so maximum

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Philip is not using the correct ratio of nuts to raisins

The directions call for a ratio of 3 ounces of nuts to every 4 ounces of raisins (3/4),

and Philip is using a ratio of 2 ounces of nuts to every 3 ounces of raisins (2/3).

3/4 and 2/3 are not equivalent values

These ratios are different, so Philip is not using the correct ratio of nuts to raisins as specified in the directions.

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The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer:

64 in

Step-by-step explanation:

8*8= 64

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It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

Less Than or Equal to

Step-by-step explanation:

In mathematics and computer science, the floor and ceiling functions map a real number to the greatest preceding or the least succeeding integer, respectively. floor(x) : Returns the largest integer that is smaller than or equal to x (i.e : rounds downs the nearest integer).

In this question, equation of the tangent line to the curve y = 4\(x^{2}\) at the point (2, 2) is y = 16x - 30.

The equation of the tangent line to the curve y = 4\(x^{2}\) at the point (2, 2) can be found using the point-slope form of a linear equation.

First, we need to find the slope of the tangent line, which is equal to the derivative of the curve at the given point. Taking the derivative of y = 4\(x^{2}\), we get dy/dx = 8x.

Substituting x = 2 into the derivative, we have dy/dx = 8(2) = 16.

Now, using the point-slope form with the point (2, 2) and the slope 16, the equation of the tangent line is: y - 2 = 16(x - 2).

Simplifying, we get: y - 2 = 16x - 32.

Therefore, the equation of the tangent line to the curve y = 4x^2 at the point (2, 2) is y = 16x - 30.

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Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

\(y=a(b)^x\) where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

\(3=a(b)^0\). Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

\(1.5=3(b)^1\). Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

\(y=3(\frac{1}{2})^x\)

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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Answer: the answer is b

Step-by-step explanation:

The cross-sectional area of the cast-iron pipe is approximately 19.63 square inches. We need to use the formula for the cross-sectional area of a ring or annulus. The cross-sectional area of a ring is equal to the area of the outer circle minus the area of the inner circle.

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. The radius of the outer circle is equal to the sum of the inside radius and the thickness of the metal, or r1 = 12/2 + 1/2 = 6.5 inches. The radius of the inner circle is equal to the inside radius, or r2 = 12/2 = 6 inches. Therefore, the cross-sectional area of the cast-iron pipe is: A = πr1^2 - πr2^2
A = π(6.5)^2 - π(6)^2
A = π(42.25 - 36)
A = π(6.25)
A = 19.63 square inches

So the cross-sectional area of the cast-iron pipe is 19.63 square inches.
You need to find the cross-sectional area of the cast-iron pipe. You can do this by calculating the areas of the two circles (outer and inner) and then subtracting the smaller area (inner circle) from the larger area (outer circle).

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The dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 34.34 ft.

To find the dimensions of the tank with minimum weight, we need to consider the relationship between the volume of the tank and the weight of the sheet steel.

Let's assume the side length of the square base of the tank is x, and the height of the tank is h.

The volume of the tank is given as 8788 ft³, so we have the equation x²h = 8788.

To determine the weight, we need to consider the surface area of the tank. Since the tank has an open top and a square base, the surface area consists of the base and four sides.

The base area is x², and the area of each side is xh. Therefore, the total surface area is 5x² + 4xh.

The weight of the sheet steel is directly proportional to the surface area. Thus, to minimize the weight, we need to minimize the surface area.

Using the equation for volume, we can express h in terms of x: h = 8788/x².

Substituting this expression for h into the surface area equation, we have A(x) = 5x² + 4x(8788/x²).

Simplifying the equation, we get A(x) = 5x² + 35152/x.

To find the dimensions of the tank with minimum weight, we need to minimize the surface area. This can be achieved by finding the value of x that minimizes the function A(x).

We can differentiate A(x) with respect to x and set it equal to zero to find the critical points:

A'(x) = 10x - 35152/x² = 0.

Solving this equation, we get x³ = 3515.2, which yields x ≈ 14.55.

Since the dimensions of the tank need to be positive, we discard the negative solution.

Therefore, the dimensions of the tank with minimum weight are approximately x ≈ 14.55 ft and h ≈ 8788/(14.55)² ≈ 34.34 ft.

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Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

\(Hypotenuse^2=opposite^2-adjacent^2\)

\(Hyp^2=opp^2+adj^2\)

\(Hyp=\sqrt{42.8}\) \(yards\)

\(Opp=\sqrt{11}\) \(yards\)

\(Adj=?\)

\(Adj^2=Hyp^2-opp^2\)

\(=(\sqrt{42.8} )^2-(\sqrt{11} )^2\)

\(=42.8-11\)

\(=31.8\) → \(32\)

\(Adj^2=32\)

\(Adj=\sqrt{32}\)

= 5.66 yards

Answer:

(f + g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –0.5Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

We can infer that young people drive more quickly than older people because the interval does not contain zero.

We need to construct the 90% confidence interval for the difference between the population means μ1 - μ2, in the case that the population standard deviations are not known. The following information has been provided about each of the samples;

Sample Mean 1 (X1) = 79

Sample Standard Deviation 1 (s1) = 2.2360

Sample Size 1 (N₁) = 9

Sample Mean 2 (X2) = 73

Sample Standard Deviation 2 (s2) = 1.732

Sample Size 2 (N₂) = 7

Based on the information provided, we assume that the population variances are equal, so then the number of degrees of freedom is,

df = n + n₂ - 2 = 9 + 7 - 2

   = 14

The critical value for a = 0.1 and df = 14 degrees of freedom is the = t1 - a/2n - 1 = 1.761.

The corresponding confidence interval is computed as shown below,

Since the population variances are assumed to be equal, we need to compute the pooled standard deviation, as follows:

Sp =\(\sqrt{\frac{(n1 - 1)s1^2+(n2 - 1)s2^2}{n1+n2-2} }\) = 2.035

Since we assume that the population variances are equal, the standard error is computed as follows:

se = Sp*\(\sqrt{\frac{1}{n1}+\frac{1}{n2} }\)

    = 1.026

Now, we finally compute the confidence interval;

CI = (X1-X2-te * se, X1 X2+te * se)

   = (79-73-1.761 x 1.026, 79-73 +1.761 x 1.026)

   = (4.193, 7.807)

Therefore, based on the data provided, the 90% confidence interval for the difference between the population means μ - μg is 4.193< μ - μg < 27.807, which indicates that we are 90% confident that the true difference between population means is contained by the interval (4.193, 7.807).

As the interval does not contain zero, we can say that young people drive faster than old people.

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Answer:When you ask, "What is 58.84 as a decimal?", we assume you want to know what 58.84 percent is as a decimal. In other words, 58.84 percent converted to decimal.

First, we will tell you why it is useful to know 58.84 as a decimal.

Normally, to calculate 58.84 percent, you would multiply a number by 58.84 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 58.84 as a decimal to get the answer.

58.84 ÷ 100 = 0.5884

Step-by-step explanation: there you go :)

Answer:

Step-by-step explanation:

in the dark I see two congruent triangles, so x = 53 °

Answer:

\(\sqrt{17}\) , 4.23 , 9/2

Step-by-step explanation:

\(\sqrt{17} = 4.1231\\\)

9/2 = 4.5

4.23

Answer:

Step-by-step explanation:

Good morning,

You just do it in the pathway, and there is the answer for you :D.

The value of expression 9x for x= 2 is 18.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression = 9x

For x=2

Value of expression=9*2

=18

Hence,

          After evaluating 9x for x=2 value will be 18.

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Answer:

m = 8

Step-by-step explanation:

-8 = -16 + m

Switch sides.

-16 + m = -8

Add 16 to both sides.

m = 8