Mathematics College

A randomly selected sample of n =51 men in Brazil had an average lifespan of 59 years. The standard deviation was 10 years. Calculate a 98% confidence interval for the average lifespan for all men in Brazil.

Answers

Answer 1

Answer:

$59-2.40\frac{10}{\sqrt{51}}=55.639$

$59+ 2.40\frac{10}{\sqrt{51}}=62.361$

The 98% confidence interval would be given by (55.639;62.361)

Step-by-step explanation:

Information given

$\bar X= 59$ represent the sample mean

$ s= 10$ represent the sample deviation

$ n= 51$ represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=51-1=50$

The Confidence is 0.98 or 98%, the significance would be $\alpha=0.02$ and $\alpha/2 =0.01$,and the critical value would be $t_{\alpha/2}=2.40$

And replacing we got:

$59-2.40\frac{10}{\sqrt{51}}=55.639$

$59+ 2.40\frac{10}{\sqrt{51}}=62.361$

The 98% confidence interval would be given by (55.639;62.361)

Related Questions

Mrs. Parker misplaced 10% of her brooches in May. She misplaced
another 10% of her brooches in June but managed to find 10% of the
brooches that she misplaced in May. What percentage of her brooches did she have at the end?

Answers

Answer: She has 90% of her brooches at the end

Step-by-step explanation:

If she lost 10% of her brooches then 90% will be left, and another 10% will make it 80% left bus since she managed to find 10% then 10% plus 80% will be 90%.

I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

What is the value of x?
07
0 7√2
O
O 14
O 14√/2
45°
7√2

Answers

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

What is trigonometric ratios?

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

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The effect of pH on the action of a certain enzyme is shown on the accompanying graph what is the domain of this function
PLEASE HELP ASAP I DO GIVE OUT 200 WORTH OF POINTS ONLY IF YOUR RIGHT I DO CHECK IT PLEASE AND THANK YOU !!

Answers

Answer:

4 less (less than or Equal to) X (less than or Equal to) 13

Step-by-step explanation:

Note:-

Domain is set of x valuesRange is set of y values

Here

we can see

x goes from (4,0) to (13,0)

Hence domain

4≤x≤13

it's really easy Pleaseplease answer this I'm desperate please ill give brainliest to the first right answer

Answers

Answer:

It should be 12 i dont know ,,I learned it in class but my teacher told me that there are different types of this math so I don’t know if this is the one I learned

Step-by-step explanation:

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Answers

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired

Answers

Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.

What is the distance between 16 and -25

Answers

the distance between 16 and -25 is 41

I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?

Answers

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

How to find the vertices of the parallelogram?

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

m = slope(x1, y1) = point on the line

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

y - 5 = 0.75(x - 2)

Simplifying, we get:

y = 0.75x + 3.5

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

y = 0.75(7) + 3.5 = 8

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

y - 5 = -0.75(x - 9)

Simplifying, we get:

y = -0.75x + 11.25

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

y = -0.75(4) + 11.25 = 8.25

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Twenty-five points are chosen in the plane so that no three of them are collinear. How many triangles do they determine?

Answers

The 25 points determine a total of 2300 triangles when no three points are collinear.

To determine the number of triangles that can be formed using 25 points in the plane, we can use the concept of combinations.

In general, for any given set of n points, the number of triangles that can be formed using these points is given by the formula:

Number of triangles = nC3 = n! / (3! * (n-3)!)

In this case, we have 25 points. Substituting n = 25 into the formula, we get:

Number of triangles = 25C3 = 25! / (3! * (25-3)!)

Simplifying the equation, we have:

Number of triangles = 25! / (3! * 22!)

Since 3! = 3 * 2 * 1 = 6, we can further simplify the equation:

Number of triangles = 25 * 24 * 23 / 6 = 2300

Therefore, the 25 points determine a total of 2300 triangles.

It's important to note that this calculation assumes that no three points are collinear, meaning that no three points lie on the same straight line.

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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have

Answers

There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________

Answers

Answer:

I don't know what are you saying bro

Two figures are shown below.

Which of the following statements correctly explains whether or not the two figures are congruent?
The two figures are congruent since there is a reflection that carries one figure onto the other.
O The two figures are congruent since there is a rotation that carries one figure onto the other.
O The two figures are not congruent since the two figures are oriented differently.
O The two figures are not congruent since there is no translation that carries one figure onto the other.

Answers

Answer: B

Step-by-step explanation:

The 2 figures given would be congruent since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.

If somehow the matching sides of two components or figures have been of similar length and form, they are said to be congruent. They constitute congruent when one image or graphic entirely encompasses some other figure (both with and without rotations skills).Whenever we turn or twist the above diagram clockwise by something like 90° ∠, it becomes exactly like the ones below.

Thus the answer above i.e., "Option 1" is appropriate.

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Daniel needs 15 feet of string for a school project. He has 28 inches of string already. How many more inches of string does he need to complete the project?

Answers

Answer:

Step-by-step explanation:

first, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = 180 inches.

Since Daniel already has 28 inches of string, he still needs 180 - 28 = 152 inches of string to complete his project.

Received message. First, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = **180 inches**. Since Daniel already has 28 inches of string, he still needs 180 - 28 = **152 inches** of string to complete his project.

find the solution set 2x+1+2=4

Answers

Step-by-step explanation:

2x+1+2=4

2x=4-2-1

2x=4-3

2x=1

DIVIDE BOTH SIDES BY 2

2x/2 = 1/2

x = 1/2

Answer:

2x+1+2=4

2×=4-3

2× =1

2×/2=1/2

× = 1/2

See attached image and answer questions.

Answers

The properties of the polynomial are

Degree = oddLeading coefficient = NegativeOdd multiplicity = 3Even multiplicity = 1

How to determine the properties of the polynomial

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following readings:

A root of multiplicity 1 at x = -5A root of multiplicity 1 at x = -2A root of multiplicity 2 at x = 1A root of multiplicity 1 at x = 4y-intercept = 2

Using the above as a guide, we have the following:

Degree = sum of multiplicities

Degree = 1 + 1 + 2 + 1

Degree = 5

The leading coefficient is negative

This is so because the graph opens down

There are 3 zeros with odd multiplicities and 1 zero with even multiplicity

Answers

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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unit digit for the cube of a number 89 is 9? true/false

Answers

True is the answer to this

Answer:

Yes its true :)

Step-by-step explanation:

Use the constant of proportionality to write an equation
that represents the amount of money earned, y, for
mowing x lawns.

Answers

Answer:

x=y

Step-by-step explanation:

mowing the lown x times will give you y money

HELP PLEASE EITHER ONE!! JUST SHOW ME HOW!! THANK YOU

Answers

Try Socratic hope that helps

5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7

Answers

The expressions that are equivalent to 3^8 are:

B 3²x3^6D. 3^12/3^4E. (3^4)²

How to solve the expressions

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B 3²x3^6

= 9 x 729

= 6561

C. 3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E. (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

B 3²x3^6D. 3^12/3^4E. (3^4)²

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Evaluate the expression when c=4 and y=-4.
6(4) (-4)

Answers

Answer:

6×4×(-4)

24×(-4)

-96

Step-by-step explanation:

Hope it will help you...

Select the correct answer from each drop-down menu. A graph of quadrilateral 1 with the nodes of (minus 3, 7), (minus 4, 9), (minus 7, 9), and (minus 4, 5). Transformation of quadrilateral 2 with the nodes of (3, minus 4), (3, 6), (8, 2.8), and (7.2, minus 1.9). Quadrilateral 1 and quadrilateral 2 are polygons that can be mapped onto each other using similarity transformations. The transformation that maps quadrilateral 1 onto quadrilateral 2 is a followed by a dilation with a scale factor of .

Answers

This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2√5.

The coordinates are given as:

First polygon: A (-3, 7), B (-4, 9), C (-7, 9), and D (-4, 5).

Second polygon: A' (3, -4), B'(3, 6), C'(8, 2.8), and D'(7.2, -1.9)

Calculate the distance AB and A'B' using:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ AB = √ (-4 + 3)² + (9 - 7)²

⇒ AB = √1 + 4

⇒ AB = √5

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ A'B' = √ (3 - 3)² + (6 + 4)²

⇒ A'B' = 10

This gives, Divide A'B' by AB to determine the scale factor (k)

k = 10 / √5

k = 2√5

Hence, this transformation is a by a factor of 2√5

Answers

Answer:

its 16

Step-by-step explanation:

i did the math okay trust

Answer:

16 units

Step-by-step explanation:

Hope this helps

What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?

Answers

the total number of out comes would be 16^2 or 256.

some extra things...

A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.

a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.

if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.

An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?

Answers

1-27.7% = 1-0.277 = 0.723
970*0.723^13 = 14.3 grams

A farmer wants to estimate the number of
foxes in an area.
He catches 80 foxes, marks them and then
releases them.
A few days later he catches 36 foxes and
finds that 9 are marked.
Work out an estimate for the total number
of foxes in the area.

Answers

Answer:

According to the estimate, there are 320 foxes in the area

Step-by-step explanation:

This is the mark-recapture method for estimating a population,

For this, we have the formula,

N = (M*C)/R

Where N is the total population,

M is the number of animals captured (and then marked) the first time,

C is the number of animals captured on the 2nd try

R is the number of Marked animals captured on the 2nd try

So, in our case,

He catches 80 foxes, marks them

M = 80

he catches 36 foxes a few days later,

C = 36

He finds that 9 are marked

R = 9

So,

N = (36)(80)/9

N = 4(80)

N = 320

There are 320 foxes in the area

Which equation matches the graph?

A 5x+4y=10
B. 4x + 2y = 10
C. 8x+ 5y = 40
D. 5x-8y = 40

Answers

Answer: jnriendwindine

Step-by-step explanation:

C. 8x+5y=40 is the answer

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