Write 2 yes or no questions people might ask a person with autism or a person with a physical disability to check in on them and see how they are feeling.

The relative frequency for the range 16 - 20 is 0.27.

The frequency of a data set refers to the number of times a data or an event is occurring.

From the given information:

Range         Number of values

1 - 5                       3

6 - 10                     1

11 - 15                    4

16 - 20                  5

21 - 25                   2

Total                     15          

Relative Frequency = Subgroup frequency/ Total frequency

Relative Frequency for the range 16 - 20:

= 4/15

= 0.27

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Answer:

.27

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

\(a^{0}\) = 1

Given

\((2^{6}) ^{x}\)

= \(2^{6x}\)

The only way for this to equal 1 is for x to be zero

Thus x = 0

Using the following observations, the t test statistics is given as 3.67

From the given observations, we can calculate the sample mean and standard deviation:

x = (17 + 11 + 12 + 13 + 14 + 15 + 16) / 7

≈ 14

s = √(\(17-14)^2 + (11-14)^2 + (12-14)^2 + (13-14)^2 + (14-14)^2 + (15-14)^2 + (16-14)^2)\) / (7-1)) ≈ 1.87

The population mean under the null hypothesis is given as

μ0 = 10.

The sample size is n = 7.

Substituting these values into the formula for the t-test statistic value, we get:

t = (14 - 10) / (1.87 / √(7))

≈ 3.67

So, the correct answer is A. 3.67.

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Answer:

Step-by-step explanation:

Unfortunately, without more information, it is not possible to accurately predict the number of pounds someone would be overweight if they spent 8 hours per day using a computer. The graph provided does not provide enough data to make an accurate prediction. It is possible, however, to make an educated guess based on the graph. Looking at the graph, it appears that someone who spends 8 hours per day on the computer would likely be somewhere between 20 and 40 pounds overweight.

Answer:

x is equal to 3/2

Step-by-step explanation:

Let's solve it!

5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

expand:

20x - 50 + 10x = 8x - 12 + 2x - 8

group like terms:

30x - 50 = 10x - 20

factor out common multiples:

3x - 5 = x - 2

group terms again:

3x - x = -2 + 5

2x = 3

and divide both sides by two:

x = 3/2

Answer:14.12

Step-by-step explanation:

The correlation coefficient (r) is 0.9168.

The correlation coefficient can be improved by ignoring the bill for the month of July.

The 4th data point on the graph which indicates the month of July is the farthest away from the regression line in comparison to other points, and should not be included in the correlation coefficient improvement calculations for the electricity bill.

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The only exponential growth equation is the third one:

y = 2*(4)^x

A general exponential equation is:

y = A*(b)^x

if 0 < b < 1, then it is a decay.

if 1 < b, then it is a growth.

So any equation where the base, b, is larger than 1, represents a growth.

Then the correct option is the third one:

y = 2*(4)^x

All the other options are decays.

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About 4.01% of the test scores in the normal distribution that are greater than 90

An equation is an expression that shows the relationship between two or more number and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given that mean score is 76, and the standard deviation is 8.

For x > 90:

z = (90 - 76) / 8 = 1.75

P(z > 1.75) = 1 - P(z < 1.75) = 1 -  0.9599 = 0.0401

About 4.01% of the test scores in the normal distribution that are greater than 90

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Answer:

10inches long, 7 inches wide

Step-by-step explanation:

area = bh

70=x(x+3)

x=7 for short side

7+3=10 for longer side

Answer:

The smaller number must be 12

Step-by-step explanation:

Ignoring the second sentence we can make an expression from the question :

x is larger number

y is the smaller number

x = 2y + 12

Now we substitute 36 for x and solve for y :

36 = 2y + 12

Subtract 12 from both sides :

24 = 2y

Divide both sides by 2 :

12 = y

y = 12

The smaller number must be 12.

But let's check :

12 × 2 = 24

24 + 12 = 36

✅

Hope this helped and have a good day

The statement "P(A or B) = P(A) + P(B)" is False.

The correct statement is "P(A or B) = P(A) + P(B) - P(A and B)," which is known as the general law of addition for probabilities. This law takes into account the possibility of events A and B overlapping or occurring together.

The general law of addition for probabilities states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities minus the probability of both events occurring simultaneously. This adjustment is necessary to avoid double-counting the probability of the intersection.

Let's consider a simple example. Suppose we have two events: A represents the probability of flipping a coin and getting heads, and B represents the probability of rolling a die and getting a 6. The probability of getting heads on a fair coin is 0.5 (P(A) = 0.5), and the probability of rolling a 6 on a fair die is 1/6 (P(B) = 1/6). If we assume that these events are independent, meaning the outcome of one does not affect the outcome of the other, then the probability of getting heads or rolling a 6 would be P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 1/6 - 0 = 7/12.

In summary, the general law of addition for probabilities states that when calculating the probability of two events occurring together or separately, we must account for the possibility of both events happening simultaneously by subtracting the probability of their intersection from the sum of their individual probabilities.

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Answer:

Probability of picking a carton at random with today's date:

(fraction form) 3/20(decimal form) 0.15

Probability of picking a carton at random without today's date:

(fraction form) 17/20

(decimal form) 0.85

well, first off let's notice something about angle "t", is between π and 3π/2, or namely the III Quadrant, where both "x" or adjacent side as well as "y" or opposite side are negative.

something else noteworthy is that, the hypotenuse is just a radius length and thus is never negative.

\(tan(t)=\cfrac{2}{3}\implies tan(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{adjacent}{-3}}\qquad \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c =\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+(-2)^2}\implies c = \sqrt{9+4}\implies c = \sqrt{13}\)

\(\rule{34em}{0.25pt}\\\\ sec(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{adjacent}{-3}}~\hfill cos(t)=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-3\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-3\sqrt{3}}{13}\)

\(sin(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-2\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-2\sqrt{13}}{13} \\\\\\ csc(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{opposite}{-2}}~\hfill cot=\cfrac{\stackrel{adjacent}{-3}}{\underset{opposite}{-2}}\implies \cfrac{3}{2}\)

Answer:

5

Step-by-step explanation:

20000*7=140,000

1.4 * 10 to the 5 power,

So its order of magnitude is 5.

Answer:

x>10

Step-by-step explanation:

What this is saying is the variable "x" is any number.

To then make it an inequality im using the greater than symbol (not to be confused with greater than or equal to symbol)

So this means if x= "any number" and has a greater than symbol.

"any number" is greater than 10.

The only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let's us consider the sizes of the cloaks by C (prince), B (king), and A (emperor)

The sizes of the crowns by 1 (prince), 2 (king), and 3 (emperor).

Now let us write the following system of inequalities:

B > C

A > B

3 = C (Thutmose's crown matches Kamose's cloak)

2 > C

A > 3

A > 2 (Thutmose's crown is larger than the king size crown)

From the fifth inequality, we know that Thutmose's cloak is the largest of all three cloaks, so A must equal C.

Therefore, we can simplify the system of inequalities to:

B > C, A > B, C = 3, 2 > C, A > 3 and A > 2

Hence, the only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

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Answer:

7.11

Step-by-step explanation:

You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.

I donno is there anything else

The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.

The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.

Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.

Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.

In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.

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Consider the first multiples of both, 4 and 7,

Therefore, the least common multiple of 4 and 7 is 28 (the first and only number that appear in both lists)

Answer:

I would say 6 or 4, if we don't know which direction he is walking

Answer: A three sided polygon is a triangle.

Step-by-step explanation:

Types of these include: isosceles, equilateral, scalene, obtuse, acute, and right triangles. Example:

The probability that the tosses are all the same is 1/2^n, where n is the number of tosses.

This is because the probability of each toss being the same is 1/2 (heads or tails). So the probability of all three tosses being the same is the product of the probabilities of the individual tosses:

1/2 * 1/2 * 1/2 = 1/2^3 = 1/8.

The reason for this is that the probability of each toss being the same is independent of the others. That is, the result of one toss does not affect the result of another toss.

As a result, the probability of all tosses being the same is the product of the probabilities of the individual tosses.

In summary, the probability of all tosses being the same is 1/2^n, where n is the number of tosses.

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The value of x, given the quadrilateral and the angles in the shape, can be found to be 60 degrees.

The other angles would then be :

The total sum of angles in a quadrilateral is 360 degrees and we are already given 90 degrees and 60 degrees in the shape.

The other degrees will add up to :

= 360 - 60 - 90

= 210 degrees

The value of x is :

x + ( 3x - 30 ) = 210

4 x - 30 = 210

4 x = 210 + 30

x = 240 / 4

x = 60 degrees

The value of angle CAB is :

= 3 ( 60 ) - 30

= 150 degrees

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Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

\(4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1\)

We then plug x back into the first equation to find y

\(y = 4(1) -7\\y = -3\)

2)

\(4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3\)