Answer:
38
Step-by-step explanation:
The range of a data set is the smallest number subtracted from the largest number.
[tex]39,41,5,43,26,7,43,24,41[/tex]
In this data set, the largest number is 43 and the smallest number is 5.
[tex]43-5=38[/tex]
Therefore, 38 is the range of this data set.
|x+7|>3
help me pleaseeee
Answer:
x>-4
Step-by-step explanation:
|x+7| is just x+7
x+7>3
-7 on both sides
x>-4
What is 9 - 10 as a decimal number
Departmental Store Agora claims that their mean weekly sales of Aerosol were at most 2,400 packages over the past 6 months and population distribution is unknown. The manager wants to check if the sales have decreased in recent times. He obtained a random obtained sample of sales data from 61 stores and found that the sample mean is 3,593 packages with sample standard deviation 4919. At 7% significance level, using critical value approach see if the claim is true or not.
Answer:
There is enough statistical evidence to suggest that the department's claim is not true
Step-by-step explanation:
The mean weekly sales μ₀ ≤ 2,400 packages
The period over which the weekly sales were measured = Over the last 6 months
The number of stores in the sample, n = 61 stores
The sample mean, [tex]\overline x[/tex] = 3,593
The sample standard deviation, s = 4919
The significance level = 7% = 0.07
The critical value approach
The null hypothesis, H₀; μ ≤ μ₀
The alternative hypothesis, Hₐ; μ > μ₀
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
We get;
[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]
With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t, = 1.495598
The p-value at the test statistic is between 0.01 and 0.005
Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.
Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages
Please help What is the value of x. Look at picture.
Answer:
x = 50
Step-by-step explanation:
3x - 10 and 2(x + 10) are vertical angles and congruent , so
3x - 30 = 2(x + 10)
3x - 30 = 2x + 20 ( subtract 2x from both sides )
x - 30 = 20 ( add 30 to both sides )
x = 50
ON CYLINDERS PLEASE HELP DUE IN 15 MIN
Answer:
4.13
Step-by-step explanation:
good luck
A soccer player kicks a ball towards the goal. The height of the ball follows a path modeled by the function ℎ()=−162+112. How long does it take the ball to hit the ground?
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t
Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:
Answer:
a = 21%
b = 260%
c = 25%
Step-by-step explanation:
I just answered that question
Someone plz help me I suck at doing that
Answer:
D - 4.6
Step-by-step explanation:
Hope it Helps!
:)
and sorry for the late answer
anyone know this equation ????
Answer:
c (-2,1)
Step-by-step explanation:
use y= and substitute into 2nd equation which will give you x. Then take x value and substitute into first equation which will give you y value and theres your answer
Help plz. If u know the answer also show work for how you got it plz. Thanks!
Q7.
There are 15 children at a birthday party.
The mean age of the 15 children is 7 years.
9 of the 15 children are boys.
The mean age of the boys is 5 years.
Work out the mean age of the girls.
Answer:
10
Step-by-step explanation:
Let c = sum of ages of all children.
mean age of all children = c/15 = 7
c = 15 * 7 = 105
The sum of the ages of all children is 105.
Let b = sum of ages of the 9 boys.
mean age of boys = b/9 = 5
b = 9 * 5 = 45
The sum of the ages of the boys is 45.
The sum of the ages of the girls is c - b.
c - b = 105 - 45 = 60
The number of girls is 15 - 9 = 6
mean age of girls = (sum of ages of the girls)/(number of girls) =
= 60/6 = 10
Someone plz help me giving brainliest
Answer:
I think 129 miles.... ..........
Answer:
129 miles
Step-by-step explanation:
Hi, I need help pretty please! (This time with 5 screenshots)
what is the value of x in 40,000 = 10x g?
Answer:
x=4000
Step-by-step explanation:
Answer:
4,000 = x
Step-by-step explanation:
40,000 = 10x
=> Divide 10 to each side of "="
40,000/10 = x
4,000 = x
Hope this helps!
Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
Brainliest for correct answer!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!
If a proton is rotating around a collider with a circumference of 27,000 meters at a speed of 300,000,000 meters per second, how long does it take for the proton to make one complete rotation?
What is the answer to this question?
Answer:
10
Step-by-step explanation:
70-30=40
50-40=10
fsgsgsgdg
Someone please help will mark as brainliest
Answer: the answer is C.
Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }
Answer:
see, to find the next number, you need to add three to the last one
for example, the 3 was added to 2, so we have five here
5+3=8
8+3=11
and ....
so the next ten numbers are:
8, 11, 14, 17,20,23,26,29,32,35
I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it
Answer:
it's +3 each time
Step-by-step explanation:
the formula for the nth term of an arithmetic progression is
[tex]a _{n} = d \times n + a _{1} - d[/tex]
4x²=9/16 Solve the equation and show your work.
Can someone help me with this pls.
Here are pairs of equivalent expressions in standard form and factored form. Find the missing symbols and numbers that make the equations true. Answers should be numbered and rewritten with the boxes replaced with the proper symbols or numbers. Show work or justification to support your choices and prove that the equations are still true.
Answer:
[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Complete the boxes
Solving (1):
[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]
Swap the equation
[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Open bracket
[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
Simplify the like terms
[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
So, we have:
[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]
i.e.
[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]
Solving (2):
[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
The above expression illustrates the difference of two squares.
So, complete the first equation with minus
[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Express 169 as 13^2
[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]
Apply difference of two squares
[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]
So, the complete expression is:
[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]
Solving (3):
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]
20 can be expressed as: -5 * -4
So, the expression becomes
[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]
Expand
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]
[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]
So, the complete expression is:
[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]
Solving (4):
[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]
28 can be expressed as 7 * 4
So, the expression becomes
[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]
Expand
[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]
[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]
So, the complete expression is:
[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]
Solving (5):
[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]
-24 can be expressed as -3 * 8
So, the expression becomes
[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
Expand
[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]
[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]
So, the complete expression is:
[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]
An equation is formed of two equal expressions. The complete equations are:
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex][tex](x^2-169) = (x+13)(x-13)[/tex][tex]x^2-9x+20=(x-5)(x-4)[/tex][tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex][tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1. The first equation that is given to us is:
[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]
Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,
[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]
Thus, the complete equation will be
[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].
2. The second equation that is given to us is,
[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]
Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,
[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]
Thus, the complete equation will be
[tex](x^2-169) = (x+13)(x-13)[/tex].
3. The third equation that is given to us is,
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.
[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]
Thus, the complete equation is
[tex]x^2-9x+20=(x-5)(x-4)[/tex].
4. The fourth equation that is given to us is
[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.
[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]
Now, if we solve the right side of the equation we will get the left side of the equation,
[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]
Thus, the complete equation is
[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]
5. The fifth equation that is given to us is
[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]
As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.
[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]
Now, solving the right side of the equation to get the complete left side of the equation we will get,
[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]
Thus, the complete equation is
[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]
Learn more about Equation:
https://brainly.com/question/2263981
HELP! plz worth 40 points if u help wit all of them. plzz due in 10 mins where I live.
Plus brainliest and ( Ik Itz NOT math but plzz)
Answer:
List One: Sweet - List Two: suite
List One: pray - List Two: prey
List One: poll - List Two: pole
List One: waste - List Two: waist
List One: Manor - List Two: manner
List One: Pier - List Two: Peer
List One: current - List Two: currant
List One: presence - List Two: presents
List One: council - List Two: counsel
List One: stationary - List Two: stationery
Step-by-step explanation:
Explain how to add 5.3 + 9.079
Answer:
14.379
Step-by-step explanation:
1. Line up from left to right
2. Make sure that the decimals are lined up
3. Add the thousandths and hundredths with 0
4. Add 3 in the tenths place
5. Add up 9 and 5 to make 14
*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*
Answer:
9.079
+5.300
_______
14.379
Step-by-step explanation:
Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079
+5.3 because your decimal will be in the wrong spot and your answer will come out wrong
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Plz i need help and asap plus work pls and no files
Answer:
25%
Step-by-step explanation:
so out of 32 marbles, 8 of them are red. This means the rest are blue which is 24 blue. To make a percentage, all you do is make a fraction. out of 32, 8 were red so 8/32. Fractions are basically division so 8/32 is 0.25. This means 25%.
A shot put throwing area is composed of a throwing circle and a sector of a larger concentric circle. The standard measurements for the diameter of the throwing circle, the radius of the sector, and the central angle of the sector are shown in the diagram below. What is the area of the composite figure? Use a problem-solving model. No answer provided . 193.69 b. 190.36 C 3.58 d. 181.21
Answer:
193.69
Step-by-step explanation:
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
O A. 13/2 ft
OB. 135 ft
C. 26 ft
D. 13 ft
Answer:
13sqrt(2)
Step-by-step explanation:
Using pythagoras theorem
If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.
Answer:
BC
Step-by-step explanation:
it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle
hii please help i’ll give brainliest
1.1 families
2.6
3.3
Step-by-step explanation:
i believe that the answer, am sorry if am wrong
Answer:
1.) 4
2.) 1 + 2 + 3 + 4 + 5 + 6 = 21 families
3.) 4 + 5 + 6 = 15 families
Hope this helps!
Sin=
Help help help pls
Answer:
The answer is D. 8/17
Step-by-step explanation:
We know, sin= opposite/hypotenuse
So as Θ is referring to Angle L
∴ sin Θ = 8/17