neilson reports that children between the ages of 2 and 5 watch an average of 25 hours of tv per week. assume the variable is normally distributed. the standard deviation of the population is 3 hours. if 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch tv will be greater than 26.3 hours.

obviously yes..........

Answer:

1,2,4and 8

Step-by-step explanation:

Answer: No

Answer and Explanation: The numbers 2, 2, and 2 are the prime factors of 8 because 8 divided by 2 equals 4. Thus, 2 and 4 are factors of eight.

The null and alternative hypotheses for the researcher's study on the effect of a stress-reduction program on people's levels of cortisol. None of the options you provided match these hypotheses.

The null hypothesis (H0) is that the stress-reduction program has no effect on cortisol levels, while the alternative hypothesis (H1) is that the program reduces cortisol levels. In this case, the null and alternative hypotheses can be represented as follows:

Null hypothesis (H0): Δcortisol = 0 (no difference in cortisol levels before and after the program)
Alternative hypothesis (H1): Δcortisol < 0 (cortisol levels are lower after the program)

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Answer:

4.245 x 10^4

Step-by-step explanation:

10^4 = 10,000

10^3 = 1,000

4.235 * 10,000 = 42,350

7.152 * 1,000 = 7,152

To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

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Answer: D

Step-by-step explanation: edge 2022

Answer:

B - a reflection across line n followed by a 270° rotation about point P

Step-by-step explanation:

got it correct on edge

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

The solution is, the length of the base is 36 cm.

Here, we have,

given that,

The height and base of a triangle are in the ratio 1 : 3 respectively.

if the area of the triangle is 216cm²,

let, the length of the base is 3x

so, we get, The height = x

now, we know that,

area = 1/2 * base * height

so, we have,

216 = 1/2 * x* 3x

or, 432 = 3x^2

or, x^2 = 144

or, x = 12

Hence, The solution is, the length of the base is 36 cm.

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Answer:

the value of the given equation is 8

Step-by-step explanation:

The computation is shown below

Given that

13 - 0.75w + 8x

here w = 12

x = 1 ÷ 2

Now put these values to the above equation  

= 13 - 0.75 × (12) + 8 × (1 ÷ 2)

= 8

Hence, the value of the given equation is 8

Answer:

Below

Step-by-step explanation:

Remember in a RIGHT triangle ,  cos = adj leg /  hypotenuse

for this one then

cos (37) = 11/x       re-arrange to

x = 11/cos 37

x = 11/ .7986 = 13.8 units

Answer:

  13.77

Step-by-step explanation:

You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 11/x

Solving for x, we find ...

  x = 11/cos(37°) ≈ 13.77

The measure of side x is 13.77 units.

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

The sets of measurements that can form a triangle are:

90°, 3 inches, 7 inches

5 inches, 6 inches, 7 inches.

To determine which sets of measurements can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's analyze each set of measurements:

35°, 15, 130°:

This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 180° - (35° + 130°) = 15°, which is not possible.

90°, 3 inches, 7 inches:

This set can form a triangle. The sum of the two shorter sides (3 inches + 7 inches) is greater than the longest side (10 inches), satisfying the triangle inequality theorem.

70°, 70°, 70°:

This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 210°, which is greater than 180°.

17 inches, 8 inches, 2 inches:

This set cannot form a triangle. The sum of the two shorter sides (2 inches + 8 inches) is less than the longest side (17 inches), violating the triangle inequality theorem.

5 inches, 6 inches, 7 inches:

This set can form a triangle. The sum of the two shorter sides (5 inches + 6 inches) is greater than the longest side (7 inches), satisfying the triangle inequality theorem.

Therefore, the sets of measurements that can form a triangle are:

90°, 3 inches, 7 inches

5 inches, 6 inches, 7 inches.

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Answer:

The range of 2x+329:

\(\mathrm{Range\:of\:}2x+329:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

Step-by-step explanation:

Given the expression

\(2x+329\)

We know that range is termed as the set of values of the dependent variable for which a function is defined.

       i.e. \(-\infty \:<f\left(x\right)<\infty \:\)

The given expression is a polynomial with an odd degree. Hence, the range of this expression will be all the real numbers.

Thus, the range of 2x+329:

\(\mathrm{Range\:of\:}2x+329:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)

In total, you'll need 7 halves of a cupcake to satisfy the desired amount for your family and friends.

When making decisions about how much of a product to purchase, it's important to use a method that accurately predicts how much you need based on how many people will be consuming it.

Let's apply this method to your scenario of ordering cupcakes. You want 5 halves of a cupcake for your family, plus an extra half for your two friends. To use the unitary method, we first need to determine what a "unit" of cupcake is. In this case, we'll consider one half of a cupcake to be a unit.

So, for your family, you need 5 units of cupcake, which is 5 halves. For your two friends, each of them would like a quarter of a cupcake, which is half of a half. We can write this as a fraction: 1/2 of 1/2.

To simplify the fraction, we multiply the numerator (1) and denominator (2) of each fraction:

=> 1 x 1 / 2 x 2 = 1 / 4.

This means each of your friends would like 1/4 of a cupcake, or a quarter of a cupcake.

Using the unitary method, we can now determine how many units of cupcake we need in total. We start with the 5 units for your family, then add the 2 units for your friends:

=> 5 + 2 = 7.

Complete Question:

I like to order 5 halve of a cupcake for my family plus some extra for my 2 friends. They'll each like a quarter of a cupcake. Then find the total units of the cupcake?

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Step-by-step explanation:

D. Graph D the answer is D

Answer:

D. Graph D the answer is D

Step-by-step explanation:

The statement says that for every rational number r, there exist integers a and b such that r can be expressed as a/b.  The negation of the statement would be: There exists a rational number r for which no integers a and b exist such that r can be expressed as a/b.

(a) For every rational number "r", there exist integers "a" and "b" such that "r" can be expressed as the fraction "a" divided by "b".
(b) The negation of the statement is: There exists a rational number "r" for which there are no integers "a" and "b" such that "r" can be expressed as the fraction "a" divided by "b".

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Answer:

A. 42.1%

Step-by-step explanation:

Answer:

I don't see the answer  but it is 3/2x - 3 = y

Step-by-step explanation:

did it on edge 2020

The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).

The slope is calculated as,

\(m = \dfrac{x_2-x_1}{y_2-y_1}\)

x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.

The equation is given as,

y = mx + c

y = (-3/2)x - 3

Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.

The complete question is given below;-

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Which equation represents the graphed function?

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

y = ( 3/ 2 ) x - 3.

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Step-by-step explanation:

large is 3 times larger than medium.

2 1/4 × 3 = 6 3/4

large is 6 times larger than small.

1 1/8 × 6 = 6 6/8 = 6 3/4

medium is 2 times larger than small.

1 1/8 × 2 = 2 2/8 = 2 1/4

Answer/Step-by-step explanation:

There are four multiplications you have to do to times these together.

If you have learned how to multiply something like this:

(x + 3)(x - 3)

it will be done in the same way.

(Actually, also there's a short cut called Difference of Two Squares or Difference of Perfect Squares)

Here are the

four multiplications:

8×8 = 64

8 × 4i = 32i

-4i × 8 = -32i

-4i × 4i = -16i^2

Some people use an area model to multiply these or algorithm called FOIL.

So, the two middle multiplications add up to zero and just like, zero out each other 32i + -32i is just nothing, zero.

Then you are left with the first and last terms.

64 + (-16i^2)

REMEMBER:

i^2 = -1

64 + (-16)(-1)

= 64 + 16

= 80

The PERT expected activity time for this activity is 6 days.

To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:

Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6

Using the given values, we have:

Optimistic Time = 2 days

Most Likely Time = 5 days

Pessimistic Time = 14 days

Substituting these values into the formula:

Expected Time = (2 + 4 * 5 + 14) / 6

Expected Time = (2 + 20 + 14) / 6

Expected Time = 36 / 6

Expected Time = 6

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The answer of the given question based on the  Runge-Kutta 4th order method is , the equation is , y(1.25 + 0.005) = 1 + (k1 + 2k2 + 2k3 + k4)/6.

To use the Runge-Kutta 4th order method with a step size h=0.005, we need to calculate the value of y at x=1.25 for the given initial value problem.

The formula for the Runge-Kutta 4th order method is as follows:

k₁ = h * f(x, y)
k₂ = h * f(x + h/2, y + k₁/2)
k₃ = h * f(x + h/2, y + k₂/2)
k₄ = h * f(x + h, y + k3)

y(x + h) = y(x) + (k₁ + 2k₂ + 2k₃ + k₄)/6

Now, let's calculate the values using the given initial conditions:

x = 1.25
y = 1
h = 0.005

k₁ = 0.005 * (2 * x * cos(x²) * exp(-y))
k₂ = 0.005 * (2 * (x + 0.005/2) * cos((x + 0.005/2)²) * exp(-(y + k₁/2)))
k₃ = 0.005 * (2 * (x + 0.005/2) * cos((x + 0.005/2)²) * exp(-(y + k₂/2)))
k₄ = 0.005 * (2 * (x + 0.005) * cos((x + 0.005)²) * exp(-(y + k3)))

y(1.25 + 0.005) = 1 + (k₁ + 2k₂ + 2k₃ + k₄)/6

Now, substitute the calculated values into the equation above and round the final result to three decimal places.

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We need to solve the next system of equations by using elimination:

1) x + 4y = 10

2) x -+7y = 16

Subtract both equations:

x + 4y = 10

-

( x - 7y = 16)

------------------------

x-x + (4y-7y) = 10-16

0 -3y = -6

Solve for y

-3y = -6

Divide both sides by -3

-3y/ -3 = -6/-3

Then:

y = 2

Now, replace this y-value on the first equation:

1) x + 4y = 10

x + 4(2) = 10

x + 8 = 10

Solve the equation for x:

Subtract both sides by 8

x + 8 -8 = 10 -8

x = 2

Therefore, x =2 and y =2

Answer:

\(5r^5\)

Step-by-step explanation:

Answer:

it's 5r^5

Step-by-step explanation:

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

Var(ax + b) = a²var(x).ii) using expectations notation:

var(ax + b) = a²var(x)

to prove this using expectations notation, we start with the definition of variance:

var(ax + b) = e[(ax + b - e(ax + b))²]

expanding the squared term:

= e[(ax + b - (ae(x) + b))²]

= e[(ax - ae(x))²]

= e[a²(x - e(x))²]

applying the definition of variance:

= a²e[(x - e(x))²]

= a²var(x).

i) using summation notation:

answer: var(ax + b) = a²var(x)

to prove this using summation notation, we start with the definition of variance:

var(ax + b) = e[(ax + b - e(ax + b))²]

expanding the squared term:

= e[(ax + b - (ae(x) + b))²]

= e[(ax - ae(x))²]

= e[a²(x - e(x))²]

using the property of linearity of expectation:

= a²e[(x - e(x))²]

= a²var(x) ii) using expectations notation:

answer: var(ax + b) = a²var(x)

to prove this using expectations notation, we start with the definition of variance:

var(ax + b) = e[(ax + b - e(ax + b))²]

expanding the squared term:

= e[(ax + b - (ae(x) + b))²]

= e[(ax - ae(x))²]

= e[a²(x - e(x))²]

applying the definition of variance:

= a²e[(x - e(x))²]

= a²var(x)

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Answer:

$100

Step-by-step explanation:

we can do comparing fractions

1800/300=600/x

Now cross multiply

1800(x)=300(600)

1800x=180000

/1800.  /1800

x=100

He spent $100

Hopes this helps please mark brainliest

Answer:

See attachment for graph

Step-by-step explanation:

See comment for correct question

Given

\(y = \log_bx\)

Required

The corresponding points on \(y =b^x\)

On the graph, we have:

\((x_1,y_1) \to (1,0)\)

\((x_2,y_2) \to (2,1)\)

\((x_3,y_3) \to (4,2)\)

\((x_4,y_4) \to (8,3)\)

\((x_5,y_5) \to (16,4)\)

First, we solve for b in \(y = \log_bx\)

Using laws of logarithm, the equivalent of the above is:

\(x = b^y\)

\((x_2,y_2) \to (2,1)\) implies that:

\(2 = b^1\)

\(2 = b\)

Rewrite as:

\(b =2\)

So, the equation \(y =b^x\) becomes:

\(y = 2^x\)

Using the same values of x, we have:

\((x_1,y_1) = (1,2)\)

\((x_2,y_2) = (2,4)\)

\((x_3,y_3) = (4,16)\)

\((x_4,y_4) = (8,256)\)

\((x_5,y_5) = (16,65536)\)

See attachment for graph

The points (1,2), (2,4), and (4,16) are plotted on the graph attached below and this can be determined by using the given data.

Given :

Logarithmic Function  --  \(\rm y = log_b(x)\)    --- (1)

The following steps can be used in order to determine the corresponding points that must be on the graph \(\rm x = b^y\):

Step 1 - Now, substitute the value of x and y that is (2,1) in the expression \(\rm x = b^y\).

\(\rm 2 = b^1\)

b = 2

Step 2 - Now, substitute the value of b in the equation \(\rm y=b^x\).

\(\rm y = 2^x\)    --- (2)

Step 3 - At (x = 1) the above expression becomes:

y = 2

Step 4 - At (x = 2) the expression (2) becomes:

y = 4

Step 5 - At (x = 4) the expression (2) becomes:

y = 16

The graph of \(\rm y = 2^x\) is attached below.

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f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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