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%
PLEASE MARK AS BRAIN LISTAnswer:
yes it is correct good work
what is the product of 25 x 24
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
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
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)
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)
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 = $29.565Learn 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?.
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
Answer:
5.25
Step-by-step explanation:
5.25 US cups in each container (5 cups 1/4 cup)
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?
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?
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
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
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)
The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)
Polynomial divisionBy 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;
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LOL Can someone help me with this LOL?!!
Please simplify that!!!
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?
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
Answer:
multiply across
Step-by-step explanation:
3/1 × 1/7 = 3/7
what is the sum of the interior angles of the polygon pictured below
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?
f(3) if f(x) = -3x - 2
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
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!
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
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
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?
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%
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?.
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?
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.)
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.
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:
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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
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
Answer:
The answer is 1.75
Step-by-step explanation:
2-1/5 or (.25)