The 70 highest dams in the world have an average height of 206 meters with a standard deviation of 35 meters. the hoover and grand coulee dams have heights of 221 and 168 meters, respectively. the russian dams, the nurek and charvak, have heights with z-scores of +2.69 and – 1.13, respectively. list the dams in order of ascending size.
Phoebe, Andy and Polly share £270.
Phoebe gets 3 times the amount as Andy who gets twice as much as Polly.
Work out how much they get each
Phoebe got £180, Andy got £60 and Polly got £30
The amount shared is given as:
Amount = £270
Represent Phoebe's share with x, Andy's with y and Polly's with z.
From the question, we have:
x = 3y
y = 2z
So, we have:
x : y : z = 3y : 2z : z
This gives
x : y : z = 6z : 2z : z
When £270 is shared in the above ratio, we have:
x : y : z = 180 : 60 : 30
Hence, Phoebe got £180, Andy got £60 and Polly got £30
Read more about ratios at:
https://brainly.com/question/16981404
the total number of living humans on arth was converted to scientific notation using an online caculation and was reported to be approximately 7.158*109. write earth's population as a single digit times and iterger power of 10 andin standard form.
One sample has n = 5 scores and the second has n = 10 scores.if the pooled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference?
The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.
Explanation:The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.
The formula to find the estimated standard error for a difference between two sample means is:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.
Now substitute these values in the equation, we get:
SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3
So, the estimated standard error for the mean difference between these two samples is 3.
Learn more about Standard Error here:https://brainly.com/question/13179711
#SPJ12
the sum of a number and 80 is greater than the product of -3 and that number. what are the possible values for the number?
x +80 >-3x
add 3x to each side
4x+80 >0
subtract 80 from each side
4x>-80
divide both sides by 4
x > -80/4
x>-20
Carl’s taxable income is $36,064. He is filing as married filing jointly, and he has already paid $4110 in federal taxes. What will he receive or pay after he figures his taxes for the year?
The answer is B. He will pay $431.
The clubhouse has a water tank from which hikers fill their water jugs before walking the trail. The tank is a 5-gallon cylindrical container with a height of 2 feet and a radius of 4 inches. Alex fills his 1-gallon jug from the clubhouse tank before going on a hike. If the 5-gallon tank was full, what was the height of the water in the tank after Alex filled the 1-gallon jug?
Using the Quadratic Formula, which of the following is the solution to the quadratic equation 5x2 + 10x - 5 = 0?
x = -1 -√2, x = -1 + √2
x = -1 -√5, x = -1 + √5
x = 1 -√2, x = 1 + √2
x = -1 -√201, x = -1 + √201
The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
5x² + 10x - 5 = 0
Now, We can solve by using quadratic formula as;
⇒ x = - 10 ± √10² - 4×5×- 5 / (2×5)
⇒ x = - 10 ± √100 + 100 / 10
⇒ x = - 10 ± √200 / 10
⇒ x = - 1 ± √2
Thus, The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
\Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ7
Solve V = 1/3(3.14)r^2h for h
plz help me i make you the bralnlyiest personOn a flight home from college, Elizabeth had to pay $20 to check her bag, plus $8 for every pound over the weight limit. On the flight back to college, she paid $26 to check her bag and $5 for every pound over the weight limit. If the total baggage fees were the same for each trip: 1. Write a system of equations to describe the situation. 2. How much over the weight limit was Elizabeth’s bag? 3. What was the baggage fee paid to
each airline? PLZ ANSWER FAST
Answer:
36
Step-by-step explanation:
took it
Solve 7x - 2(x + 1) = 6x + 14
A) -12
B) 12
C) -16
D) 16
Your height can be represented by a function h , where the input is your age.
What Does h(14) represent?
How to find the fourth term of a binomial expansion?
A line segment or ray that is perpendicular to the segment at its midpoint is called
A line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.
What are perpendicular lines?A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.
A line that divides a line segment into two equal halves and forms a 90° angle at the place of intersection is called a perpendicular bisector. In other words, a perpendicular bisector splits a line segment at its halfway, creating a 90° angle.
Therefore, a line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.
Learn more about the perpendicular bisector here:
https://brainly.com/question/24753075.
#SPJ6
How far does a plane travel in 3 hours at 654 miles per hour? 1,962 mi 1,862 mi 218 mi
Answer:
Option A. 1,962 miles
Step-by-step explanation:
The speed of a plane per hour = 654 miles
If the plane travels in one hour = 654 miles.
We have to calculate the distance covered by the plane in 3 hours.
so we simply multiply 654 to 3 to get how many miles he travels in 3 hours.
The plane travels in 3 hours = 654 × 3 = 1,962 miles.
A plane travels 1,962 miles in 3 hours.
Option A. 1,962 miles
calculate the slope of the line given the points (-2, 6) and (0, 4)
The slope of the line given the points (-2, 6) and (0, 4) is -1. The correct answer would be option (A).
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
We have to determine the slope of the line given the points (-2, 6) and (0, 4)
Plugging in the given points, we get:
m = (4 - 6) / (0 - (-2)) = -2 / 2 = -1
So, the slope of the line is -1.
Hence, the correct answer would be an option (A).
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20
OHHHHHH!!!! I have a math problem Help me Will give Brainliest
To write 10-7 in standard form, you would write a decimal number with:
1s in the first 7 decimal places.
1s in the first 6 decimal places and 0 in the 7th decimal place.
0s in the first 6 decimal places and 1 in the 7th decimal place.
0s in the first 7 decimal places and 1 in the 8th decimal place.
Answer:
mine is 6.7
Step-by-step explanation:
Find the missing side lengths.
since the known angle is 45 degrees both the height and the base are equal
so y = 6
the hypotenuse (x) on a 45 degree triangle = the side time sqrt(2)
so x = 6sqrt(2)
A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth.
When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, what should the insurance coverage amount be based on…
When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, then the insurance coverage amount be based on the cost to rebuild the house.
What is the value of x?
The value of unknown variable x in the right angled triangle is equal to approximately 20 units.
To find the value of x using the concept of similar triangles,
Use the property that in a right triangle, the altitude drawn from the right angle to the hypotenuse creates three similar triangles.
In triangle QRS, m∠R = 90°.
RS = x (unknown).
RT is an altitude on hypotenuse QS.
ST = 9.
QT = 16.
Now, set up the following ratios for the similar triangles:
In triangle QRT:
QR / QT = RT / ST
In triangle QRS:
QR / QS = RS / ST
Since triangle QRS is a right triangle, we can use the Pythagorean Theorem to find the value of QR:
QR² + RS² = QS²
QR² + x²= (QT + ST)²
QR² + x² = (16 + 9)²
QR²+ x² = 25²
Now, let's use the first similarity ratio to find QR in terms of ST:
QR / QT = RT / ST
QR / 16 = RT / 9
QR = (RT × 16) / 9
Since triangle QRT is also a right triangle, we can use the Pythagorean Theorem again:
QR² + RT² = QT²
((RT × 16) / 9)² + RT² = 16²
(RT² ×256) / 81 + RT²= 256
(RT² ×256 + 81 × RT²) / 81 = 256
(RT² × 337) / 81 = 256
RT² = (256 ×81) / 337
RT² ≈ 61.771
RT ≈ √61.771
RT ≈ 7.859
Now, substitute RT back into the expression for QR:
QR = (RT× 16) / 9
QR = (7.859 × 16) / 9
QR ≈ 13.927
Finally, substitute QR into the Pythagorean Theorem equation we obtained earlier to find the value of x:
QR² + x² = 25²
(13.927)² + x² = 625
193.931 + x² = 625
x² = 625 - 193.931
x² ≈ 431.069
x ≈ √431.069
x ≈ 20.059
Therefore, the value of x in the right triangle is approximately 20 units.
Learn more about triangle here
brainly.com/question/2773823
#SPJ6
EXPERTS/ACE are these functions explain??!
I would say they are not a function
looking at the x values
2-1 =1
4-2=2
6-4=2
they aren't all the same
now the Y's
4- -1 = 5
6-4 =2
8-6 =2
they are not all the same either
What is 2 9/10 - 1 7/18?
Which statement is a conditional statement?
A. I'll pick up Lejila, and then I'll pick you.
B. If its rush hour. then traffic may be heavy.
C. We may be late.
D. I will carpool with you.
BRAINLIEST AND WORTH 10 POINTS!
What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46?
12.5, 15.5, 16.5, 18.5
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero, One, Two, Infinitely many
What is the value of z in the equation 4(2z + 3) = 12?
−13, 12, 0, 12
What is the solution to the following equation?
5(2x − 6) + 20 = 10
9, 5, 3, 2The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16, 3x = 10, 3x = 39, 3x = 3
Answer: 3x=10
Step-by-step explanation:
What's the unit rate for 2,500 kilobytes in 5 minutes
Final answer:
The unit rate for 2,500 kilobytes in 5 minutes is 500 kilobytes per minute. This value represents the speed of data transfer or typing over the course of one minute.
Explanation:
To find the unit rate of kilobytes per minute, we'll need to divide the total number of kilobytes by the number of minutes. So, you take 2,500 kilobytes and divide it by 5 minutes. This calculation will give you the unit rate for data transfer or data typing over a given period.
Now, let's do the math:
2,500 kilobytes ÷ 5 minutes = 500 kilobytes per minuteTherefore, the unit rate is 500 kilobytes per minute. This helps in understanding the speed of data transfer or typing speed over a minute, which can be applied to various computing or typing scenarios.
NOT EVEN TED CRUZ CAN HELP ME !!!!! SOMEONE PLEASE HELP !!!!! I WILL RATE YOU BRAINLIEST IF YOU CAN !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the multiple zero and multiplicity of f(x) = x^3 − 8x^2 + 16x?
The function [tex]\( f(x) = x^3 - 8x^2 + 16x \)[/tex] has a multiple zero at x = 4 with a multiplicity of 2. The other zero is at x = 0 with a multiplicity of 1.
To find the multiple zero and its multiplicity of the function [tex]\( f(x) = x^3 - 8x^2 + 16x \)[/tex], follow these steps:
1. Factor the polynomial f(x):
- First, factor out the greatest common factor (GCF) from all terms. The GCF of [tex]\( x^3 \), \( -8x^2 \)[/tex], and 16x is x.
- [tex]\( f(x) = x(x^2 - 8x + 16) \)[/tex].
2. Further factor the quadratic term:
- Factor [tex]\( x^2 - 8x + 16 \)[/tex].
- Notice that [tex]\( x^2 - 8x + 16 \)[/tex] is a perfect square trinomial.
- [tex]\( x^2 - 8x + 16 = (x - 4)^2 \)[/tex].
3. Write the fully factored form of f(x):
- [tex]\( f(x) = x(x - 4)^2 \)[/tex].
4. Identify the zeros and their multiplicities:
- The zero x = 0 comes from the factor x. Since it appears only once, its multiplicity is 1.
- The zero x = 4 comes from the factor [tex]\( (x - 4)^2 \)[/tex]. Since this factor is squared, the multiplicity of x = 4 is 2.
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
Answer: The area of the parallelogram with the given vertices=238 square units.
Step-by-step explanation:
Let CD be the base of the parallelogram ABCD is given by distance formula
CD=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} =\sqrt{(-12-2)^2+(-5-(-5))^2} =\sqrt{196} =14[/tex]units[or you can count distance by using graph as ordinates of C and D are same to we can count the distance of x from C to D]
Now consider P a point on CD such that AP become the height of the parallelogram which is given by (from the graph attached)=17 [as abscissa of P and A are same to we can count the distance of y from A to P]
Area of parallelogram = base × height=14×17=238 square units.