For a standard normal distribution, find the approximate value of P (negative 0. 78 less-than-or-equal-to z less-than-or-equal-to 1. 16). Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 16 0. 5636 0. 22 0. 5871 0. 78 0. 7823 1. 00 0. 8413 1. 16 0. 8770 1. 78 0. 9625 2. 00 0. 9772 22% 66% 78% 88%.

Answer:

C

Step-by-step explanation:

- means you go to the left on a graph (if the number is in the x position)  or down on a graph (if it's a negative in the y's place) in this case it's a negative 3 in the x's place so we go left 3 times. Then we go up 4 where we will meet the C coordinate.

Answer:well for the first one I am not sure but I think that since four is over the x there should be 4/x + 3 so tragically I don’t know the answer but I think it should be 12 the x should be 12 because 4x3=12 so yea 12

Step-by-step explanation:and for the other one I don’t know but ima try it should be two because 2x2=4 and so y=1-2x2-4 that’s what I think sorry. I got it wrong and do good on your test for me please

The integers in the interval −3 ≤ x ≤ 4 that satisfy the inequality 3x + 9 ≥ 3 are -2, -1, 0, 1, 2, 3, 4.

To find the values of x in the interval −3≤x≤4 that satisfy the following inequality: 3x + 9 ≥ 3, we solve the inequality.

So,  3x + 9 ≥ 3

Subtracting 9 from both sides, we have

3x + 9 - 9 ≥ 3 - 9

3x + 0 ≥ -6

3x ≥ -6

Dividing both sides by 3, we have

3x/3 ≥ -6/3

x ≥ -2

So, for the interval −3≤x≤4 the values of x that satisfify the inequality must be in the interval x ≥ - 2 and x ≤ 4 ⇒ -2 ≤ x ≤ 4.

So, the integers in this interval are -2, -1, 0, 1, 2, 3, 4.

So, the integers in the interval −3 ≤ x ≤ 4 that satisfy the inequality 3x + 9 ≥ 3 are -2, -1, 0, 1, 2, 3, 4.

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Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

Answer:

multiple of 6 are 6,12, 18

multiples of 8 are 8, 16, 24

multiples of 12 are 12, 24, 36

multiples of 15 are 15, 30, 45, 60

multiples of 30 are 30, and 60, 90

have a nice day

,

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

180/45 = 4/1, he did 4 situps in 1 second.

Answer:

4 situps

Step-by-step explanation:

180 divided by 45s = 4 situps

s = seconds

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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Answer:

x = -11, y = -2

Step-by-step explanation:

There's two equations. Let's say the first number is x, and the second number is y. Then, there is 4y-3 = x, and 2y-x = 7. We plug in 4y-3 for x into the second equation, and we get 2y - (4y-3) = 7. Solving more gets us -2y + 3 = 7. thus, -2y = 4, meaning y = -2. We plug back into the second equation, getting -4 - x = 7. This 11 = -x, or x = -11.

According to the calculations made by Bob after downloading and calculating the correlation value as 0.5 from a given data set, he concludes that as the number of bedrooms in a particular home increase there is an increase in the selling price of the bed.

This increase in the selling price due to the increase in the number of bedrooms can be explained with the help of the Law of Demand which states that as the demand for a certain product increases its cost or the selling price also increases.

Thus, when Bob calculates the correlation factor, he finds that as the number of bedrooms increases there is also a hike in the selling price. As there should be a surplus to fulfill the demand for bedrooms.

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The correct equation is \(P = 2.5w\) .

The average cost is the ratio of the total of cost of all the products to the total number of products.

The general form of the cost function formula is C(x)=F+V(x) C ( x ) = F + V ( x ) , where F is the total fixed costs, V is the variable cost, x is the number of units, and C(x) is the total production cost.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

An equation says that two things are equal. It will have an equals sign "=" .

A 12-ounce box of cereal costs $4.80.

The price be 'P' and weight be 'w'.

$4.80 is the price of box with weight 12-ounce

i.e. 4.80P = 12w

Divide both side by 4.80

\(\frac{4.80P}{4.80} = \frac{12w}{4.80}\)

\(P = 2.5w\)

Therefore, the correct equation is \(P = 2.5w\) .

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Answer: 35

Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = \(3^{x + 2}\)

The asymptote is given as x → -∞, f(x) = \(3^{x + 2}\) → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = \(3^{0 + 2}\) = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = \(5^{1 - x}\)

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = \(5^{1 - 0}\) = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = \(2^{x + 3}\) - 1

The asymptote is \(2^{x + 3}\)  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  \(2^{0 + 3}\) - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, \(2^{x + 3}\) - 1 = 0

\(2^{x + 3}\) = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) \(f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2\)

The asymptote is \(\left (\dfrac{1}{2} \right)^{x - 2}\) → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = \(f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6\)

The y-intercept is (0, 6)

Answer:

5

Step-by-step explanation:

first we find f(-2) by finding what the y value is when x is -2

looking at the graph f(-2)=1

so now we find g(1) by finding the y value when x is 1

g(1)=5

hopes this helps

Answer:

Yes

Step-by-step explanation:

I feel like its yes because x and y share the numbers 1-4

Answer:

Whats BrainList

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Formula = 4/3pir^3

Diameter = 3

Radius = 3/2 = 1.5

Using the formula

1.5^3 = 3.375

3.375 * 4/3 = 4.5

Volume = 4.5 pi yd^3

Answer:

Perpindicular is when two lines cross to form a 90 degree angle

Step-by-step explanation:

The situation involves a combination because the order in which the winners are chosen does not matter. We only need to select two winners out of the six people.

To find the number of ways to choose the winners, we can use the combination formula. The formula for a combination is:

\(\[ C(n, k) = \frac{{n!}}{{k!(n - k)!}} \]\)

where n is the total number of items and k is the number of items to be chosen.

In this case, we have 6 people and we want to choose 2 winners. Plugging these values into the combination formula, we get:

\(\[ C(6, 2) = \frac{{6!}}{{2!(6 - 2)!}} \]\)

Calculating the factorial terms:

\(\( 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 \)\)

\(\( 2! = 2 \times 1 = 2 \)\)

\(\( (6 - 2)! = 4! = 4 \times 3 \times 2 \times 1 = 24 \)\)

Substituting the values into the formula:

\(\[ C(6, 2) = \frac{{720}}{{2 \times 24}} = \frac{{720}}{{48}} = 15 \]\)

So, there are 15 ways to choose the winners.

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Explanation

the area of a hexagon is given by

let

s=12

replace,

I hope this helps you

Answer: The area of the region enclosed by the curves y=x, y=2x, x=y^2, x=4y^2 in the first quadrant is 119/5 square units.

Step-by-step explanation:

Let's begin by sketching the region in the first quadrant enclosed by the given curves:

We can see that the region is bounded by the lines y=x and y=2x, and the parabolas x=y^2 and x=4y^2.

To get the area of this region, we can use the change of variables u=y and v=x/y. This transformation maps the region onto the rectangle R={(u,v): 1 ≤ u ≤ 2, 1 ≤ v ≤ 4} in the uv-plane. To see why, note that when we make the substitution y=u and x=uv, the curves y=x and y=2x become the lines u=v and u=2v, respectively.

The curves x=y^2 and x=4y^2 become the lines v=u^2 and v=4u^2, respectively.Let's determine the Jacobian of the transformation. We have:

J = ∂(x,y) / ∂(u,v) =

| ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

We can compute the partial derivatives as follows:∂x/∂u = v

∂x/∂v = u

∂y/∂u = 1

∂y/∂v = 0

Therefore, J = |v u|, and |J| = |v u| = vu.

Now we can write the integral for the area of the region in terms of u and v as follows

:A = ∬[D] dA = ∫[1,2]∫[1,u^2] vu dv du + ∫[2,4]∫[1,4u^2] vu dv du

= ∫[1,2] (u^3 - u) du + ∫[2,4] 2u(u^3 - u) du

= [u^4/4 - u^2/2] from 1 to 2 + [u^5/5 - u^3/3] from 2 to 4

= (8/3 - 3/4) + (1024/15 - 32/3)

= 119/5.

Therefore, the area of the region enclosed by the curves y=x, y=2x, x=y^2, x=4y^2 in the first quadrant is 119/5 square units.

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given the equation:

The coefficient of x has 2 decimals, to clear the decimal point, the number should be multiplied by 100

so, the answer will be:

To clear the decimals multiply each term by 100

There is sufficient evidence to conclude that the population proportion is 50%.

What is the alternate hypothesis?

In a statistical inference experiment, the alternative hypothesis is a statement. It is opposed to the null hypothesis and is symbolized by Ha or H1. It is also possible to define it as an alternative to the null. An alternative theory is a proposition that a researcher is testing in hypothesis testing.

Here, we have

Given:

sample size, n =400

population proportion,p= 0.5

Significance level, α= 0.05

sample proportion

P = 0.475

Hypothesis test :

The null and alternative hypothesis is

H₀ : p = 0.5

Hₐ : p ≠ 0.5

Test statistic

Z = (P-p)/\(\sqrt{p(1-p)/n}\)

Z = 0.475 - 0.5 /√(0.5(1-0.5 )/400

= -1.0

The test statistic is-1.0

P-value :

P-value =2P(Z > |Z|)

= 2 x P(z >|-1.0|)

= 0.3173

∴ P-value = 0.3173

since P-value is greater than the significance level,α = 0.05, we failed to reject the null hypothesis

Decision: fail to reject H₀

Hence,

There is sufficient evidence to conclude that the population proportion is 50%.

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The answer is (B) 1/e.

To find the absolute maximum value of f(x) = ln(x)/x, we need to find the critical points and endpoints of the function and then evaluate f(x) at these points to determine the maximum value.

First, we find the derivative of f(x):

f'(x) = (1/\(x^2\)) * (xln(x) - 1)

Setting f'(x) = 0, we get:

xln(x) - 1 = 0

Solving for x, we get:

x = 1/e

Since f(x) is only defined for x > 0, the only critical point is x = 1/e.

Next, we evaluate f(x) at the critical point and at the endpoints of the domain of the function:

f(1/e) = ln(1/e)/(1/e) = -1/e

f(0+) = lim(x→0+) ln(x)/x = lim(x→0+) (1/x) / 1 = ∞

f(∞) = lim(x→∞) ln(x)/x = lim(x→∞) (1/x) / (1/x) = 1

Since f(x) approaches infinity as x approaches 0+, and f(x) approaches 1 as x approaches infinity, the absolute maximum value of f(x) occurs at x = 1/e, and the maximum value is f(1/e) = -1/e.

Therefore, the answer is (B) 1/e.

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Answer:

\({ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}\)

Answer: = -1

Answer:

-8 and 9

Step-by-step explanation:

-8 x 9  = -72

and  -8 + 9 = 1

Answer:just solve it

Step-by-step explanation:

it is super easy