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Adult racehorse weights are normally distributed, with a mean of 500 kg and a standard deviation of 33 kg. Approximately what percentage of the adult racehorses weigh more than 570 kg?
1.7%
98.3%
93.3%
0.12%

Answers

Answer 1

Answer:

The percentage of the adult racehorses weigh more than 570 kg is 1.7% ⇒ 1st answer Step-by-step explanation: Adult racehorse weights are normally distributed, with a mean of 500 kg and a standard deviation of 33 kg We need to find the percentage of the adult racehorses weigh more than 570 kg To solve the problem do these steps 1. Find z-score 2. Use z-score to find the corresponding area which represented P(x) 3. Change P(x) to percentage ∵ z = (x - μ)/σ ∵ The mean μ = 500 kg ∵ The standard deviation σ = 33 kg ∵ x = 570 kg Substitute these values in the rule above ∴ z = Let us use the normal distribution table to find the corresponding area ∵ The area corresponding to z-score of 2.12 is 0.98300 ∵ We need x > 570 , then we need the area to the right of the z-score ∴ P(x > 570) = 1 - 0.98300 = 0.017 Change it to percentage by multiplying the answer by 100% ∴ The percentage of x > 570 = 0.017 × 100% = 1.7% The percentage of the adult racehorses weigh more than 570 kg is 1.7%

Step-by-step explanation:

The percentage of the adult racehorses weigh more than 570 kg is 1.7% ⇒ 1st answer Step-by-step explanation: Adult racehorse weights are normally distributed, with a mean of 500 kg and a standard deviation of 33 kg We need to find the percentage of the adult racehorses weigh more than 570 kg To solve the problem do these steps 1. Find z-score 2. Use z-score to find the corresponding area which represented P(x) 3. Change P(x) to percentage ∵ z = (x - μ)/σ ∵ The mean μ = 500 kg ∵ The standard deviation σ = 33 kg ∵ x = 570 kg Substitute these values in the rule above ∴ z = Let us use the normal distribution table to find the corresponding area ∵ The area corresponding to z-score of 2.12 is 0.98300 ∵ We need x > 570 , then we need the area to the right of the z-score ∴ P(x > 570) = 1 - 0.98300 = 0.017 Change it to percentage by multiplying the answer by 100% ∴ The percentage of x > 570 = 0.017 × 100% = 1.7% The percentage of the adult racehorses weigh more than 570 kg is 1.7%

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Answer 2

Answer:

yes it is correct good work


Related Questions

what is the product of 25 x 24

Answers

Answer:

600

Step-by-step explanation:

+2  

2 5

2 4

---------

 First 5 x 4=20 which means add 2 to the equation 2 x 4

Second 4 x 2=8 + 2=10 do first 3 numbers are 100

third we put a 0 below the first 0 on first line.

fourth do 5 x 2=10 so we add 1 to 2 x 2

fifth 2 x 2 + 1= 5

sixth 100 + 500=600 and there's your answer

Hope this helps have a great afternoon:)

multiply:(5x+4y) by(2x-3y)

no spam
step by step explaination ​

Answers

Step-by-step explanation:

5x(2x-3y)+4y(2x-3y)

10x-15y+8xy-12y²

hope this helps you

have a good day

Answer:

[tex]\huge\boxed{\bf\:10x^{2} - 7xy - 12y^{2}}[/tex]

Step-by-step explanation:

[tex]\tt\:(5x+4y)*(2x-3y)\\\\\sf\: Use \: the \: distributive \: property. \\\\\tt\: 5x (2x - 3y) + 4y(2x - 3y)\\\tt\:10x^{2} - 15xy + 8xy - 12y^{2}\\\\\sf\: Simplify \: it \: further.\\\\\boxed{\bf\:10x^{2} - 7xy - 12y^{2}}[/tex]

_________

Have a great day!

Factor the algebraic expression. 27a+24

Answers

Answer:

3(9a+8)

Step-by-step explanation:

have a nice day and week

Answer:

3(9a+8)

Step-by-step explanation:

The greatest common factor of both terms is 3

So we take 3 outside the brackets to give us:

3(9a+8)

please help :(

4•x=28

(I'm kinda dum so this is hard)​

Answers

4x = 28

28 divided by 4 = 7

x = 7

4•7=28 (TRUE STATEMENT)

Answer:

x=7

Step-by-step explanation:

4 and x are getting multiplied

take 4 on other side

28 gets divided by 4

4X7 is 28

(1) Ria is paid at the rate of $13.50 per hour. During a certain week she worked 40 hours. How much did she earn that week? (1 mark) (i) Ria worked 4 weeks in the month of August and her gross earnings was $2 463.75. Her regular week comprised 40 hours and overtime was paid at 1 1/2 times the hourly rate. Show that Ria worked 15 hours overtime in August. (2 marks) (iii) In August, 20% of Ria's gross earnings was deducted as tax. How much money does she have left after the deduction? (2 marks) (iv) Ria invested $219 of her earnings for 3 years at a rate of 4.5% per annum simple interest. How much interest does she receive after 3 years? (2 marks)​

Answers

The amount earned by Ria is given by the hourly rate less the amount

that she pays as tax.

Responses:

(i) $540

[tex](ii) \hspace{0.15 cm} The \ number \ of \ hours \ worked, \ x = \dfrac{303.75 }{13.5 \times 1\frac{1}{2}} = 15[/tex]

(iii) $1,971

(iv) $29.565

Which methods can be used to calculate the amount earned as salary?

(1) The rate Ria is paid per hour = $13.5

The number of hours Ria worked during the week = 40 hours

The amount Ria earned = $13.50/hr × 40 hr. = $540

(2) The gross earnings in August = $2,463.75

The number of hours in a regular week = 40 hours

The over time rate = [tex]\mathbf{1\frac{1}{2}}[/tex] × Hourly rate

Let x represent the number of hours worked overtime

Therefore;

$13.5 × 40 × 4 + x ×  [tex]1\frac{1}{2}[/tex] × $13.5 = $2,463.75

$2,463.75 - $2,160 = $303.75 = x × [tex]\mathbf{1\frac{1}{2}}[/tex] × $13.5

[tex]x = \dfrac{303.75 }{13.5 \times 1\frac{1}{2}} = \mathbf{15}[/tex]

The number of hours worked overtime, x = 15 hours

(iii) Given that 20% was deducted as tax, the percentage of her salary left is 100% - 20% = 80% = 0.8

Which gives;

Salary left in August = 0.8 × $2,463.75 = $1,971

(iv) The interest rate, R = 4.5% = 0.045

The amount invested, P = $219

Duration of the investment, T = 3 years

The interest after 3 years is therefore;

I = P·R·T

Interest, I = $219 × 0.045 × 3 years = $29.565

Learn more about percentages here:

https://brainly.com/question/24753098

A 2-column table with 6 rows. The first column is labeled hours spent studying with entries 1, 2, 3, 4, 5. The second column is labeled test score with entries 72, 80, 90, 82, 95. Claudia records the hours she spent studying and her test scores for 5 tests. What is the correlation coefficient? What is the strength of the model?.

Answers

Answer: 0.85 and strong positive correlation

Step-by-step explanation: i just did it

Answer:

its 0.85 and strong positive correlation

Step-by-step explanation:

I guessed it and got it right

jake has 21 cups of flour . he will pour the flour into equally into 4 contianers . how many cups of flour wil be in each contianer

Answers

Answer:

5.25

Step-by-step explanation:

5.25 US cups in each container (5 cups 1/4 cup)

There will be 5.25 cups in each container
20 divided by 4 is 5 and 1 divided by 4 is .25 adding them together (5+.25=5.25)

The world’s fastest jet is the Blackbird. It is estimated to reach speeds of over
2200 miles per hour. To the nearest whole meter, how many meters per minute is this?

Answers

Answer:

59,004 (not to the nearest meter) 59,000 (to the nearest meter)

Step-by-step explanation:

2200 mph = 983.4 mps

983.4 x 60 = 59,004

59,004 = 59,000 meters per minute

When should i avoid using the equivalent symbol in math problems?​

Answers

Step-by-step explanation:

The = equals symbol is used to show that the values on either side of it are the same. It is most commonly used to show the result of a calculation, for example 2 + 2 = 4, or in equations, such as 2 + 3 = 10 − 5.

Step-by-step explanation:

you must make sure that you answers are the same, example 3+3=6.for this example you will arrive at the same answer

Evaluate the expression 7 + 4 x 5 − (15 ÷ 5) using PEMDAS.

24
27
44
52

Answers

Answer:

24

Step-by-step explanation:

7 + 4 × 5 - (15 ÷ 5) ← evaluate parenthesis

= 7 + 4 × 5 - 3 ← evaluate multiplication

= 7 + 20 - 3 ← evaluate from left to right

= 27 - 3

= 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex]7\:+\:4\:\times \:5\:-\:\left(15\:\div \:5\right)\:[/tex]

Follow PEMDAS:

P ~ Parentheses, E ~ Exponents, M ~ Multiplication, D ~ Division, A~ Addition, and S ~ Subtraction.

1) Parentheses:

[tex]7\:+\:4\:\times \:5\:-\:\left(15\:\div \:5\right)\:[/tex][tex]7+4\times \:5-3[/tex]

2) Multiplication:

[tex]7+20-3[/tex]

3) Addition/Subtraction:

[tex]24[/tex]

~

Hi there please help me with this equation I’m desperate this is my last question and I needed it done tonight and I cannot figure it out for the life of me lol The instructions are remove the symbols of inclusion and combine similar terms I need help on number two please hurry my mom wants me to be done now and I need this done tonight

Answers

I don't know if u need both but i'll solve both

2: -(z-3y-3x+z+2y+3x+2y)-x

   -z+3y+3x-z-2y-3x-2y-x

    -2z-y-x

3:    7-a+b-4+3a-2b

     3+2a-b

I hope this helped :)

Given that (x + 2) is a linear factor of the polynomial x3 + 4x2 + x – 6, what are the other two linear factors?A. (x – 1) and (x + 3)B. (x + 1) and (x – 3)C. (x – 1) and (x – 3)D. (x + 1) and (x + 3)

Answers

The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)

Polynomial division

By ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;

x² + 2x -3.

On this note, the factorisation of the quadratic expression above yields factors;

(x – 1) and (x + 3)

Read more on factorisation of polynomials;

https://brainly.com/question/280849

LOL Can someone help me with this LOL?!!
Please simplify that!!!

Answers

Step-by-step explanation:

You should study the exponential laws. Remember that (a/b) to the exponent of m is the same as a to the exponent of m over b to the exponent of m.

Therefore, 2 to the exponent of 5×4 over 3 to the exponent of 2×4 equals to 1048576/6561.

Answer:

2 to the exponent of 5×4 over 3 to the exponent of 2×4 equals to 1048576/6561.

Step-by-step explanation:


At what angle is the cyclist riding on the steep road?

Answers

Step-by-step explanation:

SoH, CaH, ToA

We will be using soH

Sin0=O/H

Sin0=50/1200

0=Sin^-1(50/1200)

=2.39°

(not sure though)

How do you multiply 3/1 times 1/7

Answers

Answer:

multiply across

Step-by-step explanation:

3/1 × 1/7 = 3/7

If their fractions then u multiply straight across 3*1 and 1*7 which would be 3/7

what is the sum of the interior angles of the polygon pictured below

Answers

Answer: 900 degrees

Step-by-step explanation:

The formula for the sum of the interior angles is (n-2)*180 where n is the number of sides.

In this case, there are 7 sides so the sum of the interior angles would be

(7-2)*180

= 5*180

= 900 degrees

What are the coordinates of the point on the directed line segment from (-8, 9)(−8,9) to (-6, -3)(−6,−3) that partitions the segment into a ratio of 3 to 1?

Answers

(8-,9) it’s that because they are all the same in the equipment hood this helps

f(3) if f(x) = -3x - 2

Answers

EXPLANATION: Simply substitute the value of 3 given. In other words, f(3) is the function of f(x), however, in this case, x is 3

f(3)=3(3)−4

Distribute 3 through the parenthesis

f(3)=9−4

Simplifyf(3)=5

Step-by-step explanation:

Help me to answer this pls​

Answers

Answer:

1) Center = A → centermost point of a circle.

2) Radius = AB, AC → distance from centre to any point on the surface of the circle.

3) Diameter = BC → longest chord; distance from 1 point of the circle to another which passes through the centre of the circle.

4) Chord = IH → distance from 1 point on the circle to another.

5) Tangent = GF → external line which passes through only 1 point of the circle.

6) Secant = DE → external line which passes through 2 points on the circle.

Hope it helps ⚜

Keith spent a total of $40 at the grocery store. Of this amount, he spent $16 on fruit. What percentage of the total did he spend on fruit?

HELPP PLEASEEEE!!!! no links please!

Answers

Answer:

40%

Step-by-step explanation:

10% of 40 is 4

4x4=16 meaning that 10% x 4 = 40%

Answer:

40%

Step-by-step explanation:

I dont know how to really explain it I just solved it using calculator

Please help.

-3k^2 x (4k^6)^3 (-7p^4) x (-8p^5)/2p^3

Answers

Answer:

 ( -3•28•7k20x2p12)

Step-by-step explanation:

                                                   (0-23p5)

 0-(((((((3•(k2))•x)•((4•(k6))3))•(0-(7•(p4))))•x)•————————)•p3)

                                                      2    

         -23p5

Simplify —————

             2  

2.1    23   divided by   21   = 2(3 - 1) = 22

At the local ballpark, the team charges $5 for each ticket and expects to make $1,300 in concessions. The team must pay its players $1,800 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
Group of answer choices

250 tickets

400 tickets

2300 tickets

1000 tickets

Answers

Answer:

1000

Step-by-step explanation:

Okay so let's put T as TOTAL tickets

1800+1500+3T

To make it easier lets do this

3300+3T

total earnings is 5T+1300

So now the problem is this

3300+3T=5T+1300

Lets take away 1300 from both sides

3300-1300 = 2000

1300-1300 = 0

2000+3T=5T

Lets now take 3T from both sides

3T = 3T = 0

5T - 3T = 2T

now we have

2000=2T

Divide both sides by 2

1000=T

The team must sell 1000 tickets to break even

HELP

What is the perimeter of the shape?

Answers

the perimeter is 24 yards i believe

Answer:

24 yd

Step-by-step explanation:

a man sells an article at rs 600 and makes a profit of 1/5 of the selling price. calculate his profit percentage. Ans 25%​

Answers

Answer:

The profit percentage is 25%.

Step-by-step explanation:

Solution :

Selling price = Rs. 600

Profit = 1/5 of the selling price

Profit percentage = ??

Profit = 1/5 of the selling price

600 × 1/5 = 120

Profit = Rs. 120

Cost price = Selling Price - Profit

= 600 - 120

= 480

Profit pecentage -

P% = (SP - CP)/CP × 100

= (600 - 480)/480 × 100

= 120/480 × 100

= 1/4 × 100

= 25%

Hence, the profit percentage is 25%.

What is another word for a dependent variable in science?.

Answers

it is sometimes called as response variable

Good advertising accounts for 35% of a stores revenue. If the stores revenue for last week was $12,400, how much of the revenue was due to good advertising?

Answers

stores revenue = $12,400

35 % of 12,400 = revenue for good advertising

= 35 / 100 × 12,400

= $4,340

so from $12,400 $4,340 was earned due to good advertising

WILL GIVE BRAINLIEST The solution to 15x = 30 is x =___. (Only input the number.)

Answers

Answer:

x=2

Step-by-step explanation:

If 15x=30 and 15*2=30 then x=2

Hope this helped.

A brainliest is always appreciated.

For a standard normal distribution, if P (z less-than-or-equal-to a) = 0. 7116, what is the value of P (z greater-than-or-equal-to a)? 0. 2116 0. 2884 0. 7116 0. 7884.

Answers

For the standard normal distribution, if P (z≤a) = 0. 7116, then the value of P(z≥a) is 0.2884.

What is Standard normal distribution?

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

As it is given that the value of P(z≤a)=0.7116, therefore, for P(z≤a) we can write,

[tex]P(z\leq a) = 0.7116\\\\P(z > a) =1- 0.7116\\[/tex]

But as we know the fact that in continuous distribution, the probability of a single point is 0, therefore, we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Similarly, for P(z>a)=0.7116 we can write,

[tex]P(z > a) = 1-0.7116\\\\P(z \geq a) = 1-0.7116\\\\P(z \geq a) = P(z=a) + P(z > a) = 1- 0+0.7116\\\\P(z \geq a) = 0.2884[/tex]

Hence, For the standard normal distribution, if P (z≤a) = 0. 7116, then the value of P (z≥a) is 0.2884.

Learn more about Standard normal distribution:

https://brainly.com/question/25447725

A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write a compound inequality like 1

Answers

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

2 - 1/4 in simplest form PLS HURRYYYY

Answers

Answer:

The answer is 1.75

Step-by-step explanation:

2-1/5 or (.25)

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