Supongamos que de todos los perros Chihuahua que existen en el país, 5 % de los machos y 2 % de las hembras sufren enfermedades cardíacas. Se considera que la cantidad de machos y hembras es igual, y se elige un perro al azar que resulta tener problemas cardíacos,

¿cual es la probabilidad de que sea macho?

You will reject the null hypothesis if your sample average is in the area of the null hypothesis sampling distribution called alpha.

In summary, to reject the null hypothesis, the sample average needs to fall in the area of the null hypothesis sampling distribution known as alpha.

To explain the answer, hypothesis testing involves comparing a null hypothesis (the statement being tested) with an alternative hypothesis. In this scenario, the null hypothesis states that the average number of screaming 12-year-olds at Ariana Grande concerts is equal to the known population average of screaming 12-year-olds at Drake concerts.

To make a decision about the null hypothesis, we calculate the sample average from data collected at Ariana Grande concerts. We then compare this sample average to a predetermined significance level called alpha.

If the sample average falls within the critical region, which is determined by alpha, we reject the null hypothesis. The critical region represents extreme values that would be unlikely to occur if the null hypothesis were true.

Therefore, if the sample average is in the area of the null hypothesis sampling distribution called alpha, we reject the null hypothesis, indicating that there is a significant difference between the average number of screaming 12-year-olds at Ariana Grande concerts and the known population average at Drake concerts.

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The complete question is :

Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if.....

a)your null (comparison) average is in the area of the alternative hypothesis sampling distribution called D (Beta)

b) your null (comparison) average is in the area of the alternative hypothesis sampling distribution called u (alpha)

c)your sample average is in the area of the null hypothesis sampling distribution called beta

d)your sample average is in the area of the null hypothesis sampling distribution called alpha.

Matthew's family cannot drive for 25 days without the warning light coming on, and they will need to refill the tank before that point.

If the car uses 0.6 gallons of fuel per day, then in 25 days, it will use:

= 0.6 gallons/day × 25 days

= 15 gallons

This means that if Matthew's family starts with a full tank of 14 gallons, they will not be able to drive for 25 days without running out of fuel.

The question asks if they can drive for 25 days without the warning light coming on. If the warning light comes on when there is 1.5 gallons or less of fuel remaining, then Matthew's family can drive for:

= 14 gallons - 1.5 gallons

= 12.5 gallons before the warning light comes on.

Since they use 0.6 gallons of fuel per day, they can drive for:

= 12.5 gallons / 0.6 gallons/day

≈ 20.8 days without the warning light coming on.

Therefore, they cannot drive for 25 days without the warning light coming on, and they will need to refill the tank before that point.

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Step-by-step explanation:

7x= 180-x

7x+x= 180

8x= 180

x= 22.5

the angle is 22.5

its supplementary angle is 157.5

Answer:

Nancy High

Joe Low

The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

Explanation:

The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.

   x                 y

   5                -18    

   0                -2

   3                 10

First row:

-2 + 4 (5) = y  (5 is the value of x which is first multyply by 4)

-2 + 20 = -18 (value of y in the table)

Second row:

-2 + 4 (0) y

-2 + 0 = -2

Third row:

-2 + 4 (3) = y

-2 + 12 = 10

Answer:

it is c

Step-by-step explanation:

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

In our case, we are given

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

The volume of the composite solid is 310.86 cubic centimeter where it has a cylinder and cone.

The composite figure has a cylinder and cone

The volume of cylinder =πr²h

The radius of cylinder is 3 cm and height is 10 cm

Volume of cylinder = 3.14×3²×10

=3.14×9×10

=282.6 cubic centimeter

Now let us find volume of cone

Volume of cone = πr²h/3

Radius of cone is 3 cm and height is 3 cm

Volume of cone = 3.14×9×3/3

=28.26cubic centimeter

Total volume = 282.6 + 28.26

=310.86 cubic centimeter

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Based on the information provided, the statement which is a valid conclusion is only: option A.

A valid conclusion can be defined as a statement that is essentially based on empirical data, formulated hypotheses, facts, and prudent experimental design, which entails that relationship between data variables are reasonable, credible and valid.

Based on the information provided, the statement which is a valid conclusion is that the botanist can make inferences for all plants, and he can draw his conclusion that the fertilizer would help all plants grow taller.

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Answer: C

Step-by-step explanation:

Inferences can be made for these types of plants, and the conclusion can be drawn that the fertilizer will help these types of plants grow taller

The amount of total cost at q* is 1.

To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):

TC(q) = 10 - 6q + q^2

To find the minimum point, we differentiate TC(q) with respect to q:

d(TC(q))/dq = -6 + 2q

Setting the derivative equal to zero and solving for q:

-6 + 2q = 0

2q = 6

q = 3

So the production level q* that minimizes the total cost is 3.

To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):

TC(q*) = 10 - 6(3) + (3)^2

TC(q*) = 10 - 18 + 9

TC(q*) = 1

Therefore, the amount of total cost at q* is 1.

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A recipe for flapjacks uses only syrup sugar butter and oats in the ratio 1:2:2:4. Using this recipe 250g of syrup are needed to make 12 flapjacks. The quantity of oats needed to make 18 of these flapjacks is 375g.

The recipe for flapjacks has a ratio of syrup to sugar to butter to oats of 1:2:2:4. This means that for every 1 unit of syrup, there are 2 units of sugar, 2 units of butter, and 4 units of oats.

We know that 250g of syrup are needed to make 12 flapjacks. To find out how much oats are needed to make 18 flapjacks, we can set up a proportion:

syrup: sugar: butter: oats = 1:2:2:4

250g:x = 12:18

To solve for x, we can cross-multiply and simplify:

250g * 18 = 12x

4500g = 12x

x = 375g

Therefore, we need 375g of oats to make 18 flapjacks using this recipe.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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The minimum sample size necessary to achieve a 99% confidence interval width of at most 0.6 is 115. (Option A)

To determine the minimum sample size necessary, we can use the formula for the confidence interval width:

Confidence interval width = 2 * Z * (standard deviation / √n)

Here, Z represents the critical value for the desired confidence level. In this case, Z is given as 2.575 for a 99% confidence level.

We are given that the standard deviation (σ) is 1.25 pounds.

Let's substitute these values into the formula and solve for n:

0.6 = 2 * 2.575 * (1.25 / √n)

Divide both sides of the equation by 2 * 2.575:

0.6 / (2 * 2.575) = 1.25 / √n

0.1165 = 1.25 / √n

Square both sides of the equation to isolate n:

\(0.1165^2 = (1.25^2) / n\)

0.0136 ≈ 1.5625 / n

Cross-multiply:

0.0136n ≈ 1.5625

n ≈ 1.5625 / 0.0136

n ≈ 114.772

Since we need a whole number for the sample size, we round up to the nearest whole number:

n = 115

Therefore, the minimum sample size necessary to ensure that the resulting 99% confidence interval has a width of at most 0.6 is 115. The answer is option A.

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Answer:

x= 13.5(7)

x=94.5

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Answer: there is no answer

Step-by-step explanation: if the whole sentence is letters it is not answerable

Answer:

\(8i^{22}\) - 1

Explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

\(i^{2}\) = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because \(i^{4}\) = \((i^{2})^{2}\) = \((-1)^{2}\) = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.

For dividing fractions it's also useful to know that the first fraction (1/4) is called the dividend and the second fraction (3/4) is called the divisor.

Let's set up 1/4 and 3/4 side by side so they are easier to see:

1/4  /  3/4

When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/4 x 4/3

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

1 x 4 / 4 x 3 = 4/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

4/12 = 0.3333

Answer:

\(g(x) = - 6x + 3 \\ find \: g( - 4) \\ *SOLUTION* \\ g(x) = - 6x + 3 \\ g( - 4) = - 6( - 4) + 3 \\ = 24 + 3 \\ = 27\)

since we have found an element (48) in S that is not in T, we can conclude that S is not equal to T.

To prove that S is not equal to T, we need to show that there I an element in either S or T that is not in the other set.

Let's first look at the elements in S. We know that S is the set of all integers that can be expressed as 24 times some other integer. So, for example, 24, 48, 72, -24, -48, -72, etc. are all in S.

Now, let's look at the elements in T. We know that T is the set of all integers that can be expressed as 4 times some integer and 6 times some integer. We can find some examples of numbers in T by finding the multiples of the LCM of 4 and 6, which is 12. So, for example, 12, 24, 36, -12, -24, -36, etc. are all in T.

Now, let's consider the number 48. We know that 48 is in S, since it can be expressed as 24 times 2. However, 48 is not in T, since it cannot be expressed as 4 times some integer and 6 times some integer. This is because the only common multiple of 4 and 6 is 12, and 48 is not a multiple of 12.

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Answer:

C. 3x²+8x-10=-8

hope I could help!!

Step-by-step explanation:

Answer:

C. 3x²+8x-10=-8

hope I could help!!

mark me brainlist now

Step-by-step explanation:

Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:

its D

Step-by-step explanation:

its not A or C because the angle ABC is equal to DAB. that leaves us with B or D. and B is incorrect about the value of a. so the answer is D

Answer:

x=-10

Step-by-step explanation:

We can solve this equation by first distributing the "2" to the variables inside of the parentheses:

2(x+3)=x-4

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

Simplify

2x+6=x-4

Move like terms to one side. Be careful while moving terms because if you move a term from one side to another, it's sign flips (Ex: "+" becomes "-")

2x-x=-6-4

x=-10

All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.

1.1 Formulation:

The problem can be formulated as follows:

Minimize: 0 (since it is a feasibility problem)

Subject to:

α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1

α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2

α1, α2, α3, α4 are unrestricted

β is unrestricted

y_i ≥ 0 for all points in S1

z_i ≥ 0 for all points in S2

The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.

1.2 Finding a feasible solution:

To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.

Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.

For S1:

(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible

(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible

(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible

(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible

For S2:

(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible

(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible

(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible

(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible

Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

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Answer:

12.5

Step-by-step explanation:

The value of LL' is 5 units.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

ML' = 2.5

Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.

This means,

LL' = (2.5 x 3) - 2.5

LL' = 7.5 - 2.5

LL' = 5

Thus,

LL' is 5 units.

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Answer:

z = 3

Step-by-step explanation:

I hope this helps!

The graphical device that divides data according to the percentage they represent is a pie-chart.

Frequency distribution, relative frequency distribution, or percent frequency distribution all are statistical measures that want to establish the part of the distribution corresponding to each measure, that is, percentages, thus they are represented by pie-charts.

An example, suppose that among 50 people sampled, 20 prefer the NBA and 30 the NFL.

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Answer: A. 33

Step-by-step explanation:

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Given:

The endpoints of line segment CD are C(-2,0) and D(4,9).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

Using the midpoint formula, the midpoint of CD is

\(Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)\)

\(Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)\)

\(Midpoint=\left(1,4.5\right)\)

Therefore, the midpoint of the line segment CD is (1,4.5).