Answer:
B. Sammy
Step-by-step explanation:
Kara, Sammy, Liz and Mark each took many samples from the same population of students. But the number of students in the Sammy's sample is largest, hence their mean will have lest variation.
solve 3/8[-8+16-(-2 1/2)]
3.375
hope it helps...!!
f(x) = 6^2+12x -7
please answer and explainnnn!
Answer:
A) \(x=-1\pm\sqrt{\frac{13}{6}}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)
You buy 2 packages of ground beef. One package contains 4.5 pounds and the other contains 2.25 pounds. Your put equal amounts of meat into the 9 freezer bags. How many pounds of meat are in each bag?
Help don’t bully meeeeeeeeee
Answer:
table 1: -7, -3, 1, 4, 9
Step-by-step explanation:
You put the numbers under x on the tables into the formula where the x is and solve for y.
if you need more answers let me know
3. The numbers below represent the scores on a science test. Find the interquartile range.
58, 55, 54, 61, 56, 54, 61, 55, 53, 54
03
04
06.5
08
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation:
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
Salvador runs 24.5 miles per week. How many miles does he run each day?
Answer:
3.5 miles per day
Step-by-step explanation:
There are 7 days in a week
24.5 miles in a week
24.5 / 7 days
3.5 miles per day
Answer:
3.4 miles
Step-by-step explanation:
You would divide 24.5 by 7 since there are 7 days in a week giving you a quotient of 3.5
How to translate a equation to sentence 1/2(f+y)=f-5b
The translation of the statement is: Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age
How to translate the equation into a sentence?The equation is given as:
1/2(f + y) = f - 5b
Before translating the equation, we make use of the following representations:
f represents Francis's agey represents Yancy's ageb represents Bella's ageUsing the above representations, we can translate the statement as:
Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age
Read more about algebraic expressions at:
https://brainly.com/question/4344214
#SPJ1
3x – 4y = -5
y = 4.3 - 2
Is (1, 2) a solution of the system?
Choose 1 answer:
Answer:
No. The correct answer is (1.4, 2.3)
Step-by-step explanation:
y= 4.3 - 2
y= 2.3
3x - 4y = -5
3x - 4(2.3) = -5
3x - 9.2 = -5
3x = -5 + 9.2
3x = 4.2
x = 4.2 ÷ 3
x = 1.4
(1.4 , 2.3)
Rewrite 3/2 : 1/4
as a unit rate.
Answer:
6
Step-by-step explanation:
That would be:
3 6
---- -------
2 4
---------------- = -------------- = 6 This is the unit rate.
1 1
----- ------
4 4
Answer:
6
Step-by-step explanation:
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 270 engines and the mean pressure was 5.6 pounds/square inch (psi). Assume the population standard deviation is 0.8. The engineer designed the valve such that it would produce a mean pressure of 5.5 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.
P-value = 0.04
Test statistic z=2.05
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the valve pressure is significantly different from 5.5 psi.
Then, the null and alternative hypothesis are:
\(H_0: \mu=5.5\\\\H_a:\mu\neq 5.5\)
The significance level is 0.02.
The sample has a size n=270.
The sample mean is M=5.6.
The standard deviation of the population is known and has a value of σ=0.8.
We can calculate the standard error as:
\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{0.8}{\sqrt{270}}=0.049\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{5.6-5.5}{0.049}=\dfrac{0.1}{0.049}=2.054\)
This test is a two-tailed test, so the P-value for this test is calculated as:
\(\text{P-value}=2\cdot P(z>2.054)=0.04\)
As the P-value (0.04) is bigger than the significance level (0.02), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.
Look in the photo
Use the chart to find h(4) in simplest form
By using the given chart, the value of h'(4) would be -16.
What is a chain rule in calculus?
According to the chain rule, the derivative of f(g(x)) is f'(g(x)).g' (x). In other words, it aids in the differentiation of 'composite functions'.
Sin(x²), for example, is a composite function because it can be written as f(g(x)) where f(x)=sin(x) and g(x)=x².
The given function is
h(x) = f(g(x))
Now differentiating the above function with respect to x, we get
h'(x) = f'(g(x)) * g'(x)
Now find h'(4), so put x = 4, we get
h'(4) = f'(g(4)) * g'(4)
By using the given table, we can write
h'(4) = f'(-1) * 8
h'(4) = (-2) * 8
h'(4) = -16
Hence, by using the given chart, the value of h'(4) would be -16.
To learn more about the chain rule, visit:
https://brainly.com/question/11549233
#SPJ1
what do you call a cow that's robing the store.
He's a high stakes hahahahahahahahaahahha
Answer:
LOL
Step-by-step explanation:
The pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in in^2) of the sole of the shoe when the shoes have a sole area of 40 in^2 The pressure is 4 lbs/in^2 find equation that relates these variables
A=
Answer:
\(A = \dfrac{40}{P}\)
Step-by-step explanation:
Pressure \(p(in lbs/in^2)\) varies inversely with the area \(A(in$ in^2)\) of the sole of the shoe.
This is written as:
\(P \propto \frac{1}{A}\\ $Introducing the constant of variation$\\P = \dfrac{k}{A}\)
When:
\(When: A= 40 in^2, P =4 lbs/in^2\\$Substituting into the equation\\P = \dfrac{k}{A}\\4 = \dfrac{k}{40}\\$Cross multiply\\k=4*40\\k=160\\Therefore, the equation that connect these variables is given as:\\P = \dfrac{40}{A}\\$In terms of P\\AP=40\\\\A = \dfrac{40}{P}\)
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
Evaluate 5.48 x 2.45 (Answer to 2 decimal places). (a) 134.26 (b) 144.26 (c) 13.43 (d) 13.42 (e) 12.426
The final value is 13.43, which represents the product of 5.48 and 2.45.
We have,
The concept being demonstrated here is the multiplication of two decimal numbers.
When multiplying decimal numbers, we follow these steps:
- Ignore the decimal points and multiply the numbers as if they were whole numbers.
In this case, we multiply 548 by 245, which gives us 134,260.
- Determine the total number of decimal places in the original numbers.
In this case, the original numbers have a total of four decimal places (two decimal places each).
- Place the decimal point in the product so that it has the same number of decimal places as the total from step 2.
In this case, we need to place the decimal point two places from the right, giving us 1,342.60.
- Round the final result if necessary.
In this case, rounding to two decimal places gives us 1,342.60 rounded to 13.43.
Therefore,
The final value is 13.43, which represents the product of 5.48 and 2.45.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
What percent larger is 20.49 trillion to 13.4 trillion
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
To know more about Fraction visit:
https://brainly.com/question/11947917
#SPJ1
Square ABCD has a diagonal AC with the given vertices. Find the coordinates of the remaining vertices.
A(2, 2) and C(6, - 2)
The coordinates are ?
The coordinates of the square are 2.8
What is a square?A square is a polygon whose all sides are equal. the if the sides are equal, the coordinates of the vertices are also equal to each other.
The length of the diagonal of the square is gotten by the use of the formula for distance between two points
d = √(y₂-y₁)²+(x₂-x₁)²
distance = √(6-2)²+(-2-2)²
distance = √4²+-4²
Distance = √16+16
distance = √32 = 5.7 units
This implies that the sides of the square = 5.7/2 = 2.8
Learn more about distance between two points on https://brainly.com/question/24485622
#SPJ1
M is the midpoint of LN. What is the measure of LM?
Answer:
L___M___N
LM = MN
3x = 2x +2
3x – 2x = 2
x = 2
LM = 3x = 3(2) = 6
So; LM = 6
I hope I helped you^_^
Describe the graph of the line x = 12.
1.vertical line
2.crosses the y-axis
3.line with slope of 12
4.horizontal line
The only thing we can say about the line is that x = 12 is a vertical line.
What can we say about the graph of the line x = 12?
Remember that the general linear equation is:
a*x + b*y = c
Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.
This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).
So the only correct option is the first one.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Answer:
1. Vertical Line
Step-by-step explanation:
What is the exact circumference of the circle?
0 107 ft
O
207 ft
O 407 ft
607 ft
Answer:
C≈62.83
Step-by-step explanation:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
If 3x + 9y = 21 , find the value of 4(x + 3y)
Answer:
25
Step-by-step explanation:
The method that should be used is substitution:
Do this by taking 3x+9y=21 and transforming it to be \(y=-\frac{1}{2} x+\frac{7}{3}\)
Once you have this, substitute the value of y that we just found into 3x+9y=21 to find the value of x: \(3x+9(-\frac{1}{2} +\frac{7}{3} ) =21\)
Solve for x. You should get 1.5
Once you have this, Plug in 1.5 for the value of x into the y= equation that we found in the beginning: \(y=-\frac{1}{2} (1.5)+\frac{7}{3}\)
Solve for y. You should get 1.583 (19/12)
Plug in the values of x and y that we found into the last equation to find its value: 4(1.5+3(1.583))
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
PLEASE someone help me with this question, I’ve been stuck on it for so long :(
Help is greatly appreciated! I know what the answer is ( back of my textbook) but i dont know how to figure it out
Oh also if it’s possible could you please take a picture of your handwritten answer instead of typing it since its easier for me to understand , but either way is fine :)
Answer:
13.5 litres
Step-by-step explanation:
the ratios are 2 : 3 : 4 = 2x : 3x : 4x ( x is a multiplier )
given Henrietta produced 1.5 litres more than Gladys , then
4x = 3x + 1.5 ( subtract 3x from both sides )
x = 1.5
then total milk produced by the 3 cows is
total = 2x + 3x + 4x = 9x = 9 × 1.5 = 13.5 litres
What is a triangle with 2 congruent sides and an obtuse angle
Answer:What is a triangle with 2 congruent sides and an obtuse angle
Step-by-step explanation:
A tank is 80c ,nu 60cm by 75cm, find the volume of water that will fill up
A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.
To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:
Volume = length * width * height
Using the dimensions given, we can plug them into the formula as follows:
Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3
This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up
Learn more about volume:
https://brainly.com/question/463363
Answer:
Step-by-step explanation:
To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:
60 cm x 75 cm x 80 cm = 36,000 cm^3
So the volume of water that will fill up the tank is 36,000 cubic centimeters.
Alternatively this also can be written as 806075 cubic cms
brainly.com/question/463363
What do these have in common??
Answer:
They can all be simplified to 2/3
What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?
i have attached a file you can see it from there.
The value of a probability must be in the interval [0, 1]
True
False
Answer:
True.
Step-by-step explanation:
[0, 1] means all numbers in between 0 and 1, 0 and 1 included.
A probability is always a number in that interval. For example: 0.384, 0.222, 0.938, etc!