Answer:
10Step-by-step explanation:
Given the following parameters
standard deviation σ = 2.5
z-score Z = 2.4
observed value x = 16
Mean of the dataset μ = ?
Using the formula for calculating the z-score as shown to calculate the mean
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
On substituting the values;
[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]
The mean of the dataset is 10
Four cups of water are added to a 20 cup bowl of punch that is 75% juice. What percentage of the new punch is juice?
Answer:
15%
coz thats the ans
Answer:
The new punch is 62.5% juice.
Step-by-step explanation:
First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%
Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.
15 / 24 = 0.625, or 62.5%
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
What is 42.8 on its standard form???
Answer:
[tex]4.28 \times 10^{1}[/tex]
Step-by-step explanation:
[tex]42.8 \times 10^0=42.8[/tex]
[tex]4.28 \times 10^{1}=42.8[/tex]
Answer:
42.8 x 10^0
Step-by-step explanation:
A. Standard Form
Ax + By = C.
A, B, C are integers (positive or negative whole numbers)
No fractions nor decimals in standard form.
Traditionally the "Ax" term is positive.
Which properties justify the steps taken to solve the system? {3x−2y=104x−3y=14 Drag and drop the answers into the boxes to match each step.
Answer:
Just took it!
Step-by-step explanation:
The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:
Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}
Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}
Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}
Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}
Therefore, the solution to the system is (x, y) = (2, -2).
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What is the value of 4x- 7 when x=4?
Answer:
9
Step-by-step explanation:
4x- 7
Let x=4
4*4 - 7
16 -7
9
Answer:
9
Step-by-step explanation:
4(4)-7=16-7=9
If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB?
Answer:
87
Step-by-step explanation:
or 130. let me know if I'm wrong
If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
The measure of arc AB = 50°
The measure of its inscribed angle ACB = ?
Here, ACBP will make a quadrilateral
And, the sum of opposite angles of quadrilateral is 180°
So, ∠ACB + ∠AB = 180°
⇒ ∠ACB = 180° - 50°
⇒ ∠ACB = 130°
Hence, the measure is 130°
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Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
The figure is made of rectangular prisms. What is the volume?
6 cm
15 cm
10 cm
3 cm
6 cm
3 cm
3 cm
3 cm
318 cm
225 cm
13
159 cm
What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°
Answer:
C) 56 deg
Step-by-step explanation:
The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.
28 + y = 90
y = 62 deg
The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.
The sum of the measures of the angles of a triangle is 180 deg.
62 + 62 + x = 180
124 + x = 180
x = 56
Answer: C. 56 deg
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
The points (-11, r) and (-7,5) lie on a line with slope
3
4
Find the missing coordinate r.
Answer:
r = 2
Step-by-step explanation:
Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)
m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )
5 - r = 3 ( subtract 5 from both sides )
- r = - 2 ( multiply both sides by - 1 )
r = 2
The number 100 is decreased to 36. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
50%
Step-by-step explanation:
I need help please thanks
Answer:
1/6
Step-by-step explanation:
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<
Answer:
-3 +7 > -10 - 2
Step-by-step explanation:
Given
-3 +7_-10 - 2
Required
Compare using any of the given inequality symbols
We start by solving both sides of the inequality
- 3 + 7 _ -10 - 2
(-3 + 7) _ (-10 - 2)
(4) _ (-12)
Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);
Hence, the _ symbol can be replaced by the greater than symbol.
(4) _ (-12) can then be rewritten as
(4) > (-12) or
- 3 + 7 > -10 - 2
From the list of given options, option B is correct
If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
Use the following information for #18
Connor makes $120 for every 10 hours he works.
#18 How much does Connor make per hour?
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
What do I do that will help me remember what I should do for problems like this
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
HELPPPPPP PLEASEEEEE I HAVE 50 min left
Answer:
A
Step-by-step explanation:
Solving for 1995, which is 5 years after 1990, so plug in 5 as t.
n= 1.76(5)² - 13.32(5) + 41
n= 44 - 66.6 + 41
n= 18.4
n≈ 18 days
Five times the smallest of three consecutive odd integers is seven more than twice
the largest. Find all three consecutive odd integers.
Answer:
5, 7, 9
Step-by-step explanation:
Using the information given we get:
[tex]5x-7=2z[/tex]
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]
Add 7 to both sides
[tex]5x=2x+15[/tex]
Subtract 2x from both sides
[tex]3x=15[/tex]
Divide both sides by 3
[tex]x=5[/tex]
Using these equations:
[tex]x+2=y\\y+2=z\\x+4=z[/tex]
and
[tex]x=5[/tex]
We get:
[tex]x=5\\y=7\\z=9[/tex]
Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution
Step-by-step explanation: Help I help
Can someone please help me ASAP
Answer:
A) 144 FT B) 300
Step-by-step explanation:
{ Area= L x W
Area= 12 x 12
Area= 144 }
{ 6x2=12
12x25= $300
If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?
Answer:It should be 16.5 or 16 1/2.
Step-by-step explanation:
22•3/4
What is the answer I need the answer
Answer:
The correct choice is A
Step-by-step explanation:
the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A
Using Equations to Compare Linear Functions
Consider the function and its inverse:
f(x) =
) = x -2
-(x) = (x + 2)
The slope, a, of the inverse function is
and the x-intercept of the inverse function is at x =
Intro
Answer:
[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=\frac{x}{3}-2[/tex]
[tex]f^{-1}(x)=a(x+2)[/tex]
To find: slope, a, of the inverse function and the x-intercept of the inverse function
Solution:
Let [tex]y=f(x)=\frac{x}{3}-2[/tex]
[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]
So, [tex]f^{-1}(x)=3(x+2)[/tex]
On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]
To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]
The slope, a, of the inverse function is 3 , and the x-intercept of the inverse function is at x = -2 .
please answer this !!!!!
Answer:
The slope is -3/1.
Step-by-step explanation:
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
A man measured his height and found 5.7 feet. However, after he carefully measured his height a second time, he found his real height to be 5 feet.What is the percent error the man made the first time he measured his height?
Answer:
percentage error = 12.28%
Step-by-step explanation:
5 x 0.14 = 0.7
5 x 1.14 = 5.7
as increase is not the same as error decrease.
We use the same numbers 12.28% = 0.1228.
5.7 x 0.1228 = 0.69996 = 12.28%
5.7 - 0.69996 = 5.00004 foot. As decrease.
And find it is correct.
His error therefore was 12.28% out.
As we work the first numbers 5.7 and can only x by a number to see 5ft
We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot. (5.00004) ft.
Answer:
14%
Step-by-step explanation:
percent error = (experimental measure - real measure)/(real measure) * 100%
percent error = (5.7 ft - 5 ft)/(5 ft) * 100%
percent error = (0.7 ft)/(5 ft) * 100%
percent error = 0.14 * 100%
percent error = 14%
3/11 x 3 1/4 Answer this question
Answer: 39/44
Step-by-step explanation:
3 1/4 = 13/4
13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44
The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.
To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.
To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.
3 1/4
= (3 x 4 + 1) / 4
= 13/4
Now we can multiply 3/11 by 13/4:
(3/11) x (13/4)
= (3 x 13) / (11 x 4)
= 39/44
Therefore, the product of 3/11 and 3 1/4 is 39/44.
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