In 1990, there were 4,500 deaths due to lung diseases in miners aged 20 to 64 years. The expected number of deaths in this occupational group, based on age-specific deaths rates from lung diseases in all males aged 20 to 64 years, was 1,800 during 1990. What is the standardized mortality ratio (SMR) for lung disease in miners

Answers

Answer 1

Answer:

2.5

Step-by-step explanation:

We have that the standardized mortality ratio (SMR) is the relationship between the number of deaths observed in a year, that is, those that occurred and the number of expected deaths, that is, those that were predicted.

SMR = observed / expected

therefore if we replace we have:

SMR = 4500/1800

SMR = 2.5

Which means that the standardized mortality ratio (SMR) is 2.5


Related Questions

Tricia has a birthday party. During the party, she opened 36 gifts, which was 60% of all her gifts. After the party, she opened the rest of the gifts and found that 25% of them were the same present, so she returned all but one of the duplicate gifts. How many gifts did she return?

Answers

Answer:

She returned 5 gifts.

Step-by-step explanation:

36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?

36 gifts - 0.6

x gifts - 1

0.6x = 36

x = 36/0.6

x = 60

She received 60 gifts.

She opened the rest of the gifts and found that 25% of them were the same present

The rest is 60 - 36 = 24 gifts.

25% is (1/4)*24 = 6 duplicate figts

She returned all but one of the duplicate gifts.

That is, she returned 6 - 1 = 5 gifts.

What is the value of the trig ratio cos x ? Help ASAP

Answers

Answer:

14/50 or 7/25

Step-by-step explanation:

cos x = adj/hyp

adj = 14

hyp = 50

---------

you ca learn more about trig

sin x = opp/hyp

tan x = opp/adj

The value of the trigonometric ratio, cos x in a right angle triangle XYZ is   [tex]\dfrac{14}{50}[/tex].

Trigonometric ratios – The relation between the angles and the sides of a right-angle triangle is called Trigonometric ratios.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given figure a right-angle triangle XYZ we know that

ZY is the length of the perpendicular. XY is the base of the triangle and  ZX is the hypotenuse.

By trigonometric ratio, we know that

[tex]Cos \Theta = \dfrac{adjacent}{hypotenuse}[/tex]

Where [tex]\Theta[/tex] is the acute angle between the base and the Hypotenuse

On substituting value,

[tex]Cos \Theta = \dfrac{14}{50}[/tex]

The value of the trigonometric ratio, cos x in a right angle triangle XYZ   [tex]\dfrac{14}{50}[/tex].

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solve sqrt 3-5x= sqrt x+2 what is the value of x

Answers

Answer:

[tex]x=\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{3-5x}=\sqrt{x+2}\\Square\:both\:sides\\\left(\sqrt{3-5x}\right)^2=\left(\sqrt{x+2}\right)^2\\\mathrm{Expand\:}\left(\sqrt{3-5x}\right)^2:\quad 3-5x\\\mathrm{Expand\:}\left(\sqrt{x+2}\right)^2:\quad x+2\\3-5x=x+2\\\mathrm{Solve\:}\:3-5x=x+2:\quad x=\frac{1}{6}\\x=\frac{1}{6}\\\mathrm{Verify\:Solutions}:\quad x=\frac{1}{6}\space\mathrm{True}\\\mathrm{The\:solution\:is}\\x=\frac{1}{6}[/tex]

Answer:

A- 1/6

Step-by-step explanation:

GOT IT RIGHT ON EDGE

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x)
= 9x - 2. Which expression represents the profit, (k-h(x), of producing soccer balls?​

Answers

Answer:

4x - 8

Step-by-step explanation:

k - H(x)

(9x -2) - (5x + 6)

4x -8

Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
60
25

Answers

Answer:

65

Step-by-step explanation:

C^2= A^2 + B^2

C^2 = (60)^2 + (25)^2

C^2 = 4225

Take the square root of C

C = 65

Answer:

65

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.

[tex]a^2+b^2=c^2[/tex]

I'm assuming that '60' and '25' are measures of the legs, since the question asks to find the hypotenuse.

[tex]60^2+25^2=c^2\\\rightarrow 60^2=3600\\\rightarrow 25^2 = 625\\3600+625=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\\boxed{65=c}[/tex]

The hypotenuse should measure 65 units.

Given a quadratic function that has solutions at x=4 and x=6 which of the following is one of the linear factors of the function?
A.(x+4)
B.(x-6)
C.(x-2)
D.(x+6)

Answers

Answer: THE SOLUTION IS B

x=4  gives the linear factor x-4

x=6 gives the linear factor x-6

Step-by-step explanation:

find the area of this figure to the nearest hundredth use 3.14 to approximate pi A=? ft squared

Answers

Answer:

[tex]105.13ft^2[/tex]

Step-by-step explanation:

Rectangle

[tex]A=lw\\=10*8\\=80ft^2\\[/tex]

Semicircle

[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2}* \pi *4^2\\=25.13ft^2[/tex]

Add both values together

[tex]80+25.13\\=105.13ft^2[/tex]

Answer: 105.13

Step-by-step explanation:

Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds are selected at random. a)What is the probability that all three have driven while under the influence of alcohol

Answers

Answer:

P(3) = 0.0244

P(3) = 2.44%

the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244

Step-by-step explanation:

Given;

The probability that they have driven while under the influence of alcohol is;

P = 29% = 0.29

the probability that all three selected have driven while under the influence of alcohol is;

P(3) = P × P × P

P(3) = 0.29 × 0.29 × 0.29

P(3) = 0.024389

P(3) = 0.0244

P(3) = 2.44%

the probability that all three selected have driven while under the influence of alcohol is 2.44% or 0.0244

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula t=2dg−−√, where g is the constant acceleration due to gravity, 9.8msec2. How many meters does an object fall in 5 seconds? Round your answer to the nearest whole number.

Answers

Answer:

d = 61.25 m

Step-by-step explanation:

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :

[tex]t=2\sqrt{\dfrac{d}{g}}[/tex] .....(1)

It is required to find the distance covered by ab object in 5 seconds

Solving equation (1) for d. So,

[tex]d=\dfrac{t^2g}{4}[/tex]

Putting all the values we get :

[tex]d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m[/tex]

So, the distance covered by the object is 61.25 m.

The object will fall at a distance of 122.5 meters.

What is acceleration?

Acceleration is the rate of change of velocity with time, both in terms of speed and direction.

Given that, t = √(2d/g).

t = √(2d/g

t√(g/2) = √d

t²(g/2) = d

Or, d = t²(g/2)

Substitute g = 9.8 and t = 5:

d = 5²(9.8/2)

d = 122.5 meters

Hence, the object will fall at a distance of 122.5 meters.

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According to the Bureau of Labor Statistics, 7.1% of the labor force in Wenatchee, Washington was unemployed in February 2019. A random sample of 100 employable adults in Wenatchee, Washington was selected. Using the normal approximation to the binomial distribution, what is the probability that 6 or more people from this sample are unemployed

Answers

Answer:

73.24% probability that 6 or more people from this sample are unemployed

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 100, p = 0.071[/tex]

So

[tex]\mu = E(X) = np = 10*0.071 = 7.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.071*0.929} = 2.5682[/tex]

What is the probability that 6 or more people from this sample are unemployed

Using continuity correction, this is [tex]P(X \geq 6 - 0.5) = P(X \geq 5.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 5.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.5 - 7.1}{2.5682}[/tex]

[tex]Z = -0.62[/tex]

[tex]Z = -0.62[/tex] has a pvalue of 0.2676

1 - 0.2676 = 0.7324

73.24% probability that 6 or more people from this sample are unemployed

If a⊕ b= 1/a + 1/b , for what decimal value of a is a⊕ 0.2=10?

Answers

Answer:

0.2

Step-by-step explanation:

1/0.2 = 5

10-5 = 5

1/a = 5

a = 1/5

a = 0.2

Answer:1/5 or 0.2

Step-by-step explanation:

1/a+1/0.2=10

1/a+1/2/10=10

1/a=10/2=10

1/a+5=10

1/a=10-5

1/a=5

a=1/5 or 0.2

Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!

Answers

Answer:

x²- 5²

(x+5)(x-5)

Step-by-step explanation:

Area of shaded region: area of square with side x - area of square with side 5

A= x²- 5²

A= (x+5)(x-5)

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number
solutions does the equation have?
Discriminant = b2-4ac
0
1
2
o 12
Save and Exit
Next
Submit
Mark this and return
le​

Answers

Step-by-step explanation:

work is shown and pictured

The discriminant of quadratic equation is,

⇒ D = 0

What is Quadratic equation?

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0

We have to given that;

Quadratic equation is,

⇒ - 3 = x² + 4x + 1

Now, We can write as;

⇒ x² + 4x + 1 + 3 = 0

⇒ x² + 4x + 4 = 0

Hence, Discriminant of quadratic equation is,

⇒ D = b² - 4ac

⇒ D = (4)² - 4×1×4

⇒ D = 16 - 16

⇒ D = 0

Thus, The discriminant of quadratic equation is,

⇒ D = 0

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Please answer this correctly

Answers

Answer:

Opinion

Step-by-step explanation:

This is an opinion because it says "more exciting to visit than"

This implies the persons' own beliefs and is not a fact, because this is not true for everyone

Maria has $39.00 that she can spend on school supplies. If she spends $18.00 on pens and pencils, how many packs of notebook paper can she buy if the notebook paper costs $3.00 a pack, including tax? Choose the graph that shows your answer.

Answers

Answer:

Please show the graph choice it sounds linear xy (positive)

or parallel depending on how much pens and pencils were.

We know $18 purchased more than 1 pack so this divided by notebook shws us at least 6 per notepack paper or so many packs of pen that cost $18 ffor pens were ratio to 1 pack of paper. ie) if pens were £2 pack then while we understand it could have been as many as 9 we divide by how many we find or bought by the amount of notepaper books to determine the rate and distribution of the money.    

Step-by-step explanation:

$39 - $18 = $21 left over

21/3 = 7 packs of note paper can be purchased..

choose the most convenient method to graph the line y=−3

Answers

Answer:

the line just goes straight up the y-axis. so, place your dot at -3 and draw the line straight up

Step-by-step explanation:

The line is shifted downward by 3 units from the x-axis, and the slope of the line is zero. The intercept of the line is at (0, -3).

What is the graph of the function?

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the line is given below.

y = –3

The line y = –3 is parallel to the x-axis.

The slope of the line is zero.

The line is shifted downward by 3 units from the x-axis.

The intercept of the line is at (0, -3).

The graph of the line y = –3 is given below.

More about the graph of the function link is given below.

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What is the equation of the line perpendicular to y = 2/3 x +1 that passes through the point (12, – 6)?

Answers

Answer:

y= -3/2x+12

Step-by-step explanation:

the slope of perpendicular lines multiplied together would be -1, so the slope of the perpendicular line is -3/2. y=-3/2x+b, so -6=-18+b, so b= 12. the equation of the line is y=-3/2x+12.

Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear

Answers

Answer:

Plot the y-intercept at (0, 2). Plot your second point at (-1, -1).

Step-by-step explanation:

I attached an image of what the finished graph should look like when you press done. *rotate the image so the grey is on the bottom*

Factorize (3x-2y)2 + 3(3x-2y)-10

Answers

Answer:

[tex]5(3x-2y-2)[/tex] i think. i am sorry if i am wrong

Step-by-step explanation:

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each question. A student must get at least 25 correct to pass the test, and the questions are very difficult. Question 1. If a student guesses on every question, what is the probability the student will pass

Answers

Answer:

0.004% probability the student will pass

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

[tex]n = 50, p = \frac{1}{4} = 0.25[/tex]

So

[tex]\mu = E(X) = np = 50*0.25 = 12.5[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.25*0.75} = 3.06[/tex]

If a student guesses on every question, what is the probability the student will pass

Using continuity correction, this is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 24.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 12.5}{3.06}[/tex]

[tex]Z = 3.92[/tex]

[tex]Z = 3.92[/tex] has a pvalue of 0.99996

1 - 0.99996 = 0.00004

0.004% probability the student will pass

Nathan spins 2 different spinners at the same time.There are a total of 10 possible outcomes.which pair of spinners did Nathan spin?

Answers

Answer:

The one divided into five part and the one divided into two parts

Step-by-step explanation:

find the option with one that has five parts and one with two parts :3

hope this helps!!

It is the graph with 5 numbers and 5 letters

I ready diagnostic

Please help this is urgent!

Answers

Answer:

Isosceles

Obtuse

Step-by-step explanation:

1) When two sides of a triangle are the same length, the triangle is an isosceles triangle.

2) When one angle of the triangle is greater than 90 degrees, the triangle is an obtuse triangle.

I hope this helps! Have a great day!

Answer:

Isosceles, obtuse

Step-by-step explanation:

There are three types of triangles based on their sides:

Equilateral: a triangle with 3 equal sidesIsosceles: a triangle with 2 equal sidesScalene: a triangle with no equal sides

This triangle here as sides of 28 cm, 16 cm, and 16 cm

This triangle has two equal sides of 16 cm, indicating it is an isosceles triangle

There are three types of triangles based on their angles:

Acute: when all angles are less than 90° Right: when the triangle has one angle that is 90° Obtuse: when one of the angles is greater than 90°

This triangle has angles of 26°, 26°, and 128°

This triangle has one angle that is greater than 90° → 128°, indicating that this is an obtuse triangle

You are at a playground with a see-saw and a large merry-go-round. You put your phone on the see-saw and find it slides when it is tilted at an angle of 38 degrees. How far can you put your phone from the center of the merry-go-round (in m) when it makes one rotation every 3 s

Answers

Answer:  r_max = 1.75m

Step-by-step explanation:

Below is a rather brief analysis to solving this problem.

The phone starts sliding when along incline,

when F_net = m g sin(theta) - fs_max = 0  

and fs_max = us N = us m g cos(theta)

m g sin(theta) - us m g cos(theta) =

us = tan(theta) = tan38 = 0.781  

On merry - go - round,

fs_max = us N = us m g

Using F = m a

fs_max = m w^2 r_max and w = 2pi / T

us m g = m (2 pi / T)^2 (r_max)

0.781 x 9.81 = (2 pi / 3)^2 (r_max)

r_max = 1.75 m

cheers i hope this helped !!

Consider the following quadratic equation: 25x2=36 Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answers

Answer:

  (5x -6)(5x +6) = 0

Step-by-step explanation:

Subtract 36 to put the equation in standard form. In this form, it looks like the difference of squares, so can be factored as such.

  25x^2 -36 = 0

  (5x)^2 -6^2 = 0

  (5x -6)(5x +6) = 0

2x+3=-7 twenty Chanda long-standing look

Answers

Answer:

x =-5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

what is 0.035 as a simplified reduced fraction

Answers

7/200 is the correct answer

Answer:

7/200

Step-by-step explanation:

0.035= 35/1000= 7*5/200*5=7/200

What is a unit rate?
A) a rate with one in the numerator
B) a rate in which the numerator and the denominator are equal
C) a rate with one in the denominator
D) a rate in which the denominator is greater than the numerator

Answers

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Hey there! Welcome to Brainly! I"m happy to help!

The unit rate is how much there is of something per  one unit. The word per basically means divided or a fraction. So, if something was a, the unit rate would be a/1.

Therefore, the unit rate is C) a rate with one in the denominator.

I hope that this helps! Have a wonderful day!

if log3(x+1) - log3x=2, then x = ?

Answers

Answer:

x= 1/8

Step-by-step explanation:

(x-5)(x+1)=x-5 3(x+1) 3 For what values of x are the two expressions equal ?

Answers

Answer:

x=-77+5√ 231 x=-77-5√231

I got this answer for x and the both equations are equal

Please help me with this problem I am lost

Answers

Answer:

[tex]\frac{49}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} \times \frac{7}{-6} \times -7[/tex]

[tex]\frac{2}{5} \times \frac{7}{-6} \times \frac{-7}{1}[/tex]

[tex]\frac{2 \times 7 \times -7}{5 \times -6 \times 1}[/tex]

[tex]\frac{-98}{-30}=\frac{98}{30}=\frac{49}{15}[/tex]

Answer:

-3.26 repeating

Step-by-step explanation:

2×7=14

5×(-6) = -30

14/30×(-7)= -3.26 repeating

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