In a study researchers reported the mean BMI for men 60 and older to be 24.7 with a standard deviation of 3.3 and the mean BMI for women 60 and older to be 23.1 with a standard deviation of 3.7. Using these values as the populations mean and standard deviation for men and women respectively, find the probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1.

Step-by-step explanation:

kayo na po bahala mag calculate

Answer:

All of them.

Step-by-step explanation:

Khan Academy 7th grade math, quiz 3.

All the values of j, 3,4, and 5 satisfy the inequality 10≥ j + 5. The correct options are A, B, and C.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Given that the inequality is 10≥ j + 5. The inequality can be solved at different points as below,

At the value j = 3,

10 ≥ j + 5

10 ≥ 3 + 8

10 ≥ 8

10 is greater than 8.

At the value j = 4,

10 ≥ j + 5

10 ≥  4 + 5

10 ≥  9

10 is greater than 9.

At the value j = 5,

10 ≥ j + 5

10 ≥ 5 + 5

10 ≥  10

10 is equal to 10.

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The unusual outcome from this discrete probability distribution is given as follows:

x = 4.

In a discrete probability distribution, unusual outcomes are those outcomes which have a probability having a value lower than 0.05 = 5%.

From the given table, the probabilities for the events x are given by P(x), as follows:

Hence the lone unusual outcome is given by x = 4, as it is the lone probability that is lower than 0.05.

None of the other events are unusual, as all of them have probabilities that are greater than 0.05 = 5%.

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Answer:

H - Triangle Z, Triangle X, Triangle Y

Step-by-step explanation:

Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3

Triangle Y area = 8.15cm^3

Triangle Z area = (17.5/2)cm^3 = 8.75cm^3

8.75cm^3 > 8.155cm^3 > 8.15cm^3

Therefore:

Triangle Z area > Triangle X area > Triangle Y area

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

 C = 2πr = πd

 C = 2(3.14)r = 6.28r   or   C = 3.14d

 where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

 r = 4.2   ⇒   C = 6.28×4.2 = 26.376

 d = 7.4   ⇒   C = 3.14×7.4 = 23.236

 d = 11   ⇒   C = 3.14×11 = 34.54

 r = 9.5   ⇒   C = 6.28×9.5 = 59.66

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

The margin of error is  \(E = 0.4606 \)      

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 100

    The sample mean is  \(\= x = 12.5 \ years\)

    The standard deviation is  \(\sigma = 2.8 \ years\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90 ) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>   \(E =1.645*  \frac{ 2.8 }{\sqrt{100} }\)

=>   \(E = 0.4606 \)      

Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other

thank you

Answer:

6r to the 2nd power

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

why is it 4 because

Step-by-step explanation:

fold -2

40×(-2) = -80 ........

Answer:

I hope this helps

Step-by-step explanation:

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

y= 9 & z = 3

10y - 7z

put y= 9 & z = 3

= 10 (9) - 7(3)

= 90 - 21

= 69

so the answer is 69

Answer:

i cant help you because i cant see the things on the picture if u get a better picture i can help

Step-by-step explanation:

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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The constant of proportionality (k) for the graph is 11.7.

The proportional equation for the graph is y = 11.7x.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for money earned per hour as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 35.1/3 = 81.9/7

Constant of proportionality, k = 11.7.

Therefore, the required equation is given by:

y = kx

y = 11.7x

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Answer:

A

Step-by-step explanation:

Answer:

product A

75%

67%

Product B

Step-by-step explanation:

I just found the percentage by dividing the amount of people who found relief into the whole

Hopes this helps please mark brainliest

Answer:

True

Step-by-step explanation:

In order to grow, a plant needs all the radient energy that it can get.

Answer:

4 units

Step-by-step explanation:

The distance is always positives so choices 1 and 2 are out.

To find the distance of the points (-5, 4) and (-1, 4), subtact |-1| from |-5|.

|-5| - (|-1|)

5 - (1)

5 - 1 = 4

Answer:

4 Units = C

Step-by-step explanation:

Answer:

This is a binomial experiment .

Step-by-step explanation:

As the percent is not indicated the success is the amount of percent (if given) say it is 10 % . So p will be equal to = 0.1 and q will be = 1-0.1= 0.9

and n would be five or any number as a binomial experiment is repeated for a fixed number of times.

And x would take any value of n i.e.

X= 0,1,2,3,4,5

If it is 20 % . So p will be equal to = 0.2 and q will be = 1-0.2= 0.8

The probability is the number of the percent indicated. But as it is not indicated we assume it to be 10 % or 20 % .Or suppose any number for it to be a binomial experiment.

The number of trials n would be fixed .

The success remains constant for all trials.

All trials are independent.

The location of the coordinate of the daycare is (3, -1.5)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}

Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:

M(x, y) = {(4+2/2, -5+2/2)}

M(x, y) = (6/2, -3/2)

M(x, y) = (3, -1.5)

Hence the location of the coordinate of the daycare is (3, -1.5)

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For 18000 units the calculated sum is $150,000.

The following are the company's production and period costs:

The product costs $ 350,000 for 20,000 units.

20,000 units = $150,000 in cost period

The product costs $ 385,000 for 22,000 units.

18,000 units each period = $ 135,000

The corporation incurs two major costs while creating an item: production costs and period costs.

Production costs are expenses directly connected to the manufacturing process. These expenses include labor, raw materials, and overhead.

While period costs are expenses incurred for the company's activities such as administrative and selling/sales charges,1. The cost of making 20,000 units is

Existing unit manufacturing costs are as follows:

Direct labor costs $7.00. Manufacturing variable overhead of $4.00 Fixed manufacturing overhead of $1.50 $ 5.00

Total product cost per unit = $7.00 + $4.00 + $1.50 + 5.00 = $17.5

So, for 20,000 units, the calculation is: 20,000 x $17.5 = $350,000

The time required to produce 20,000 units is

Each unit's cost period is as follows:

$ 3.50 in fixed selling expenses, $ 2.50 in fixed administration expenses, and $ 1.00 in variable administrative expenses.

Total period cost per unit = $ 3.5+ $ 2.5+ $ 1.00+ $ 0.5 = $ 7.5

So, for 20,000 units, the calculation is: 20,000 x $ 7.5 = $150,000

The cost of making 22,000 units is

Existing manufacturing costs per unit: $ 17.5

So, for 20,000 pieces, the cost is 22,000 x $17.5 = $ 385,000

The total period cost / unit for generating 18,000 units is $ 7.5.

So, for 18,000 units, the calculation is: 18,000 x $ 7.5 = $ 135,000

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