Answer:
a÷(b+c)≠(a÷b)+(a ÷c)
Step-by-step explanation:
To verify that a÷(b+c)=(a÷b)+(a ÷c)
Using the values ;
a=10 , b=5 , 6=2
plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;
That is, right hand side = left hand side
a÷(b+c) = 10 ÷ (5+ 2)
a÷(b+c) = 10 / 7
Also;
(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7
Given the result, it can be seen that ;
RHS ≠ LHS
10/7 ≠ 7
1a. If an escape room party
has 16 participants and 4
escape puzzles:
• How many staff are
needed?
• Write an expression to
solve how many staff
are needed.
Answer:
2 staff members
Step-by-step explanation:
Given
See attachment for missing details
Let
[tex]s \to staff\ member[/tex]
[tex]p \to participant[/tex]
[tex]e \to puzzle[/tex]
Required
Staff members for 18 participants
From the attachment, we have:
[tex]1s \to 8p[/tex] ---- 1 staff member to 8 participants
[tex]s \to 8p[/tex]
Multiply both sides by 1
[tex]s * 2 \to 8p * 2[/tex]
[tex]2s \to 16p[/tex]
This means that 2 staff members are required for 16 participants
plz help math i ned to math
how much oak planks are made with one oak log in cwaft mine
Answer:
4
Step-by-step explanation:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?]
Answer:
a) The probability that a randomly chosen specimen has an acceptable hardness is 0.7938.
b) If the acceptable range of hardness is (70-c, 70+c), then the value of c would 95% of all specimens have an acceptable hardness of 5.88.
c) Expected number of acceptable specimens among the ten is 7.938.
d) Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
Step-by-step explanation:
a )
[tex]P(67 < X< 75) = P( (67 - 70) / 3 < X < (75 - 70) / 3 )\\\\= P( - 1 < Z < 1.67) = 0.9525 - 0.1587 = 0.7938[/tex]
b )
[tex]c = 1.96 * 3 = 5.88[/tex] { Since Z = 1.96 for 95% CI refer table.}
c )
Expected number of acceptable specimens among the ten [tex]= 10 * P(67 < X< 75) \\\\= 10 * 0.7938 = 7.938[/tex]
d )
Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
6) 113 = -7 - 8m
please help!
9514 1404 393
Answer:
m = -15
Step-by-step explanation:
Given:
113 = -7 -8m
Solution:
120 = -8m . . . . . add 7 to both sides of the equation
-15 = m . . . . . . . divide both sides by -8
A box of 20 chocolates, 4 are cream-filled. What is the probability of randomly selecting a cream-filled chocolate?
A. 4/18 ≈ 22%
B. 4/20 = 20%
C. 4/16 = 25%
D. 16/20 = 80%
Answer:
the correct choice is B
Step-by-step explanation:
4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%
The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.
ProbabilityProbability is the ratio of the fovourable outcome to the total outcomes.
Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.
How to find the probability?Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]
Total number of outcomes are [tex]20[/tex]
Probability of randomly selecting a cream-filled chocolate is-
[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]
As a result, option B is the correct answer.
#SPJ2
3y - 2x = 9
2y - 2x = 7
Step-by-step explanation:
there is your answer in attachment
A square-based tent covers an area of 64 square feet. What is the length of one side of the tent?
Answer:
8 feet
Step-by-step explanation:
A square's area can be expressed as l², with l representing one side of the tent. Therefore, as our area is 64, we can say that 64 = l². Taking the square root of both sides, we get that √64 = l, and l = 8 feet
PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPP MEEEEEEEEEE
Mariam makes $50 a week.
a) Show this relationship in a graph below. Try make graph or jus label the numbers
b) What is the unit rate of the line in the equation?
c) What is the connection between the unit rate and the amount of money Mariam makes per week?
d) Write the equation for this relationship.
e) Is this a proportional relationship? Justify your answer.
Answer:
b
Step-by-step explanation:
HW HELP ASAP PLZZZZZ
Hello,
3x³a + 3x²a²
⇒ common factor : 3x²a
3x³a + 3x²a²
= 3x²a * x + 3x²a * a
= 3x²a(x + a)
:-)
Step-by-step explanation:
hope this will help you more
A rectangle is measured 6.5 cm by 7.8 cm .
If its actual area is 52.4 square cm , find the percentage error in the area.
Answer:
3.24%
Step-by-step explanation:
Percentage error =[ (|calculated value - actual value) / actual value] x 100
calculated area = length x width
6.5 x 7.8 = 50.7
[(|50.7 - 52.4|] / 52.4] x 100 = 3,24
As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you have 8 time slots, how many ways can you create the schedule for the week?
Answer:
You can create the schedule for the week in 19,958,400 ways.
Step-by-step explanation:
The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many ways can you create the schedule for the week?
8 shows from a set of 12. So
[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400[/tex]
You can create the schedule for the week in 19,958,400 ways.
Which equation can be simplified to find the inverse of y = 2x2
Answer: d
Step-by-step explanation:
edge 2020
A statistics teacher found that the average quiz score in her class is 86%, and the average test score in her class is 81%.
Which of the following is the best way to represent this data?
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
B. using a square with a side length of 86 units and a square with a side length of 81 units
C. using a pie chart with one section labeled 86% and one section labeled 81%
D. using a cube with a side length of 86 units and a cube with a side length of 81 units
Answer:
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
Step-by-step explanation:
Took the quiz. The usual.
The optimal method to represent this data is with a "bar graph", with one bar 86 units long and the other 81 units long. which is the correct answer that would be an option (A).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The best way to represent this data is using a "bar graph" where one bar has a length of 86 units and one bar has a length of 81 units.
This is because a bar graph is used to compare the sizes of different data points, and the length of each bar represents the value of the data point.
In this case, the average quiz score is 86% and the average test score is 81%, so the length of the bar representing the quiz score would be longer than the length of the bar representing the test score.
Thus, Option A correctly describes the use of a bar graph to represent the data, so it is the correct answer.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
WILL MARK BRAINLIEST TO THE FIRST PERSON OR WHO IS RIGHT!!!!
The work of a student to solve a set of equations is shown:
Equation 1: m = 8 + 2n
Equation 2: 6m = 4 + 4n
Step 1: −6(m) = −6(8 + 2n) [Equation 1 is multiplied by −6.]
6m = 4 + 4n [Equation 2]
Step 2: −6m = −48 − 12n [Equation 1 in Step 1 is simplified.]
6m = 4 + 4n [Equation 2]
Step 3: −6m + 6m = −48 − 12n + 4n [Equations in Step 2 are added.]
Step 4: 0 = −48 − 8n
Step 5: n = −6
In which step did the student first make an error?
Step 3
Step 5
Step 4
Step 2
Answer:
Step 3
Step-by-step explanation:
Step 3 should be:
−6m + 6m = −48 − 12n + 4n + 4
9514 1404 393
Answer:
Step 3
Step-by-step explanation:
When the equations are added in step 3, the result should be ...
-6m +6m = -48 -12n +4 +4n
In the work shown, the (+4) was left out in Step 3.
__
When the work is properly continued, it becomes ...
Step 4: 0 = -44 -8n . . . . [step 3 is simplified]
Step 5: n = -5.5 . . . . . . . [step 4 is divided by -8 and 5.5 subtracted]
Step 6: m = -3 . . . . . . . . . [n is substituted into Equation 1]
And the solution is (m, n) = (-3, -5.5).
What is the measure of AngleCAB?
Answer:
52
Step-by-step explanation:
answer is in photo above
Answer:
52
Step-by-step explanation:
step-by-step explanation is a c and b is 52
Same just bought 9 bags of 13 cookies in a jar. How many cookies does Sam have now?
Answer:
123 cookies
Step-by-step explanation:
He got 9*13 cookies, and had 6 already, so 9*13 + 6
9*13 = 117, plus 6 is 123
The brain volumes (cm^3) of 50 brains vary from a low of 914 cm^3 to a high of 1492 cm^3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 186.4 cm^3, assuming the estimate is accurate if it is within 15 cm^3.
Answer:
[tex]X= 19.6 cm3[/tex]
Therefore
X is not Accurate as it Falls outside of the Volume 15cm^3
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=50[/tex]
Volume Range [tex]\triangle V= 914 cm^3 to 1492cm^3[/tex]
Exact standard deviation [tex]\sigma_E 186.4 cm^3,[/tex]
Generally the equation for range rule of thumb is mathematically given by
Where
[tex]\triangle V=1492cm^3- 914 cm^3[/tex]
[tex]\triangle V=578cm^2[/tex]
Therefore
Estimate Standard deviation
[tex]\sigma_e=\frac{578}{4}[/tex]
[tex]\sigma_e=144.5cm^3[/tex]
Since
Exact standard deviation is 186.4 cm^3
Comparing
[tex]X=\sigma_E- \sigma_e[/tex]
[tex]X= ( 164.1-144.5 ) cm3[/tex]
[tex]X= 19.6 cm3[/tex]
Therefore
X is not Accurate as is Falls outside of the Hallmark 15cm^3
A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two solids?
A. The area of the cross-sections of the prisms are multiples of each other.
B. The cross-sections of the prisms are the same shape. C. The horizontal cross-sections of the prisms at the same height must have the same area.
D. The vertical cross-sections of the prisms at the same width must have the same area.
Answer:
B
Step-by-step explanation:
vì công thức diện tích cảu 2 lăng trụ giống nhau và hình dạng cũng vậy
help help help help he
Answer:
is the answer 2
Step-by-step explanation:
is that be happy
Answer: 2
Step-by-step explanation:
the answer is two
Which number's estimate written as a single digit times a power of 10 will have a negative exponent?
En una escuela hay 200 estudiantes. Si la razón entre hombres estudiantes y mujeres
estudiantes es de 3:5, ¿cuántos estudiantes son hombres y cuántas son mujeres?
Answer:
75 hombres y 125 mujeres
Step-by-step explanation:
lo siento, yo no hablo español bien
Please help I dont understand
Answer:
0
Step-by-step explanation:
f(x) = cos 3x
Let x = pi /6
f( pi /6) = cos (3pi/6)
cos (pi/2)
0
A man bought an item for#5000 and sold it at a loss of 25%. how much did he sell it?
Answer:
1250 dollars lost :(
and gained 3750 dollars
Step-by-step explanation:
one/ fourth of 5000 is 1250 just as 500000 is one fourth of 125000
I need about 2 of these but pls explain so I can learn and try on my own pls
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!
Find angle X in the angle diagram.
Answer:
80*
Step-by-step explanation:
Angle x + 80* add up to the vertical angle of 160*
So, 160* = x + 80*
80* = x
Answer:
80°
Step-by-step explanation:
160 is vertically opposite the x and 80, which means they have the same value. This makes x+80=160.
This can be solved to x=80.
Select the correct answer.
On the curve y= x^2+ 1 point Q has the coordinates (1.3.2.69). Estimate the slope of the curve at point Q by taking values very close to the x-
coordinate of Q.
OA 2.5
OB. 2.6
OC. 3.3
OD 5.2
Answer:
I think No B
if wrong correct me pls
have a great day
what is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?
Answer:
Step-by-step explanation:
E(-1,6) & F(-2,-10)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\[/tex]
[tex]=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16[/tex]
Slope of the line perpendicular to this line = -1/m = -1/16
A student uses the ratio of 4 oranges to 6 fluid ounces to
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
4 24
616
Explain the error in the student's work.
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16
Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5
Answer:
(2,1)
Step-by-step explanation:
-3x + 7 = -2x + 5
x = 2
y = -6 + 7
y = 1
Answer:
(2,1)
Step-by-step explanation:
Remark
One thing you need to remind yourself of: The y value in both equations must be the same.
That means that the two right hand values are
-3x + 7 = - 2x + 5 Subtract 5 from both sides.
-5 -5
-3x + 2 = - 2x Add 3x to both sides
+3x +3x
2 = x
Now use one of the equations to solve for y
y = -2x + 5
y = -2(2) + 5
y = - 4 + 5
y = 1
We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.
Help help help help help