[tex]\longrightarrow[/tex]Let us write all expression in factorised form .
[tex]\sf 2x^2yz = \underline{2}\times \underline{x} \times x \times \underline{y} \times \underline{z}[/tex][tex]\sf 4xy^2z= \underline{2} \times 2 \times \underline{x} \times \underline{y} \times y \times \underline{z} [/tex][tex]\sf 8xyz^2= \underline{2} \times 2 \times 2 \times \underline{x}\times \underline{y} \times \underline{z} \times z [/tex][tex]\leadsto[/tex] Common factors are 2,x,y,z and their product will give us highest common factor
[tex]\implies \sf 2\times x\times y \times z[/tex]
[tex]\implies \sf 2xyz[/tex]
Are the ratios 5:20 and 1:2 equivalent?
Hey there!
Question reads….
“Are the ratios 5:20 and 1:2 equivalent?”
Let’s find out if they are or not!
5:20
= 5 ÷ 5 : 20 ÷ 5
= 1 : 4
So, therefore, your answer is: NO because 5:20 = 1:4 NOT 1:2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
These are the cost and revenue functions for a line of smartphones:
R(x) = 952x – 0. 68x2
C(x) = -153x + 371,450
Based on these functions, what is the maximum profit that can be made, to the nearest dollar?
A)$68,850
B)$77,456
C)$234,706
D)$332,200
Answer:
Its B $77,456 I just got it correct on the quiz
Step-by-step explanation:
help pleaseeeeeeeee!!
Answer:
-x12
Step-by-step explanation:
cause I know
I need this answered the top ones are B and Z
Answer:
The number of lines for each angle tell you which angles are congruent.
The angle with one line in one triangle is the same as the angle with one line in the other triangle.
(a)
∠A ≅ ∠X
∠B ≅ ∠Z
∠C ≅ ∠Y
The dashes of the side lengths tell you which side lengths are congruent.
The line with one dash in one triangle is the same as the line with one dash in the other triangle.
(b)
AB ≅ XZ
AC ≅ XY
BC ≅ ZY
(c)
ΔBCA ≅ ΔZYX
. Suppose (as is roughly true) that 88% of college men and 82% of college women were employed last summer. A sample survey interviews SRSs of 400 college men and 400 college women. The two samples are of course independent. (a) What is the approximate distribution of the proportion pF of women who worked last summer? What is the approximate distribution of the proportion pM of men who worked? (b) The survey wants to compare men and women. What is the approximate distribution of the difference in the proportions who worked, pM − p F ? Explain the reasoning behind your answer. (c) What is the probability that in the sample a higher proportion of women than men worked last summer?
Answer:
(a) The approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution = 0.00738
The approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625
(b) pM - pF = 0.06
While pF - pM = -0.06
The difference in the standard deviation ≈ 0.01025
(c) The probability that a higher proportion of women than men worked last year is 0
Step-by-step explanation:
(a) The given information are;
The percentage of college men that were employed last summer = 88%
The percentage of college women that were employed last summer = 82%
The number of college men interviewed in the survey = 400
The number of college women interviewed in the survey = 400
Therefore, given that the proportion of women that worked = 0.82, we have for the binomial distribution;
p = 0.82
q = 1 - 0.82 = 0.18
n = 400
Therefore;
p × n = 0.82 × 400 = 328 > 10
q × n = 0.18 × 400 = 72 > 10
Therefore, the binomial distribution is approximately normal
We have;
[tex]The \ mean = p = 0.82\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.82 \times 0.18}{{400} }} \approx 0.01921\\[/tex]
Therefore, the approximate distribution of the proportion pf of women who worked = 0.82, the standard distribution ≈ 0.01921
Similarly, given that the proportion of male that worked = 0.88, we have for the binomial distribution;
p = 0.88
q = 1 - 0.88 = 0.12
n = 400
Therefore;
p × n = 0.88 × 400 = 352 > 10
q × n = 0.12 × 400 = 42 > 10
Therefore, the binomial distribution is approximately normal
We have;
[tex]The \ mean = p = 0.88\\\\The \ standard \ deviation, \sigma = \sqrt{ \dfrac{p \times q}{{n} } }= \sqrt{ \dfrac{0.88 \times 0.12}{{400} }} \approx 0.01625\\[/tex]
Therefore, the approximate distribution of the proportion pM of men who worked = 0.88, the standard distribution ≈ 0.01625
(b) Given two normal random variables, we have
The distribution of the difference the two normal random variable = A normal random variable
The mean of the difference = The difference of the two means = pM - pF = 0.88 - 0.82 = 0.06
While pF - pM = -0.06
The difference in the standard deviation, giving only the real values, is given as follows;
[tex]The \ difference \ in \ standard \ deviation = \sqrt{ \dfrac{p_1 \times q_1}{{n_1} } -\dfrac{p_2 \times q_2}{{n_2} } }\\\\= \sqrt{\dfrac{0.82 \times 0.18}{{400} }-\dfrac{0.88 \times 0.12}{{400} }} \approx 0.01025\\[/tex]
(c) When there is no difference between the the proportion of men and women that worked last summer, the probability that there is a difference = 0
Therefore, taking 0 as the standard score, we have;
[tex]z = \dfrac{0 - (-0.06)}{0.01025} \approx 5.86[/tex]
Given that the maximum values for a cumulative distribution table is approximately 4, we have that the probability that a higher proportion of women than men worked last year is 0.
a bag contains 11 counters, five of the counters are white .a counter is taken out of the bag at random and not replaced. a second counter is taken out of the bag at random.calculate the probability that only one of the counters are white
Answer:
6/11
Step-by-step explanation:
5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.
Have a great rest of your day
#TheWizzer
Answer:
P(of picking one of the white counters )= 8/11
Step-by-step explanation:
Firstly you need to identify the counters
White counters = 5
Unknown= 6
Total outcome = 11
With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings
Jess Used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24coookies .If she follows the same recipe, How much batches of cookies can she make with 16 1/2
Answer:
Jess used 11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Step-by-step explanation:
How many solutions does this equation have: y=x^2-7x-18
Answer: 2 solutions
-2 and 9
Step-by-step explanation:
see pic
What is the slope of the line below?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The slope could be determined by plugging in what you know into here....
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
then plug in what you know...
[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]
[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]
So the slope is 2.
p: Atlanta is the capital of Georgia. q: There are 4 feet in a yard.
Truth Value: -----
Answer:
Statement P is T
Stamens Q is F
Step-by-step explanation:
Here, we want to write the truth value for each of the statements.
For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.
For statement q, the truth value is F since in reality there are 3 feet in a yard
6x + 2x - 18 = 0
What are the values of
a
b
c
Answer:
A. 6
B. 2
C. 18
Step-by-step explanation:
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Total order Discount
£40 - £54.99 5%
£55 - £79.99 6.5%
£80
8%
above
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
I need help solving this problem.
Answer:
Step-by-step explanation:
area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²
original area=100²=10000 ft²
x²>0
so new area is decreased.
7. Is it possible to have a triangle with the following side lengths: 8 in, 9 in, and
17 in?
Directions Solve using any method.
17) Eve bought cupcakes for her sister's birthday party 10% of the 20 cupcakes had sprinkles
on top. How many cupcakes had sprinkles?
Whats the answer for this. I am stuck
Answer:
the probability that either B occurs without A occurring or A and B both occur is 0.73.
Step-by-step explanation:
im very confused of this question i need help
Answer: add to eliminate x
Step-by-step explanation:
Answer:
add to eliminate x
Step-by-step explanation:
In my opinion, the fourth option is the answer
What is the image of the point (-6, - 2) under a 90° rotation about the point (-4, 1)?
A. (-1,2)
B. (-2,4)
C. (-1, - 1)
D. (-7,3)
Answer:
Step-by-step explanation:
C.(-1,-1)
when m and I are cut by transversal n. if m<3=67° , determine m<6.
Answer:
113°Step-by-step explanation:
Angles 3 and 6 are consecutive interior angles
As per definition, consecutive internal angles add to 180°
m∠3 = 67° ⇒ m∠6 = 180° - 67° = 113°Find the number of shaded triangles for each figure. first triangle: second triangle: third triangle: fourth triangle:
A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.
What is a triangle?A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.
The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:
1st triangle = 1
2nd triange= 3
3rd triangle = 9
4th triangle = 27
Hence, the number of triangles in the given figure are 1, 3, 9, and 27.
Learn more about Triangles:
https://brainly.com/question/25813512
Answer:
first part is 1, 3, 9, 27
second part is A
third part is 29,524
Step-by-step explanation:
edg 23'
factorise 16 x -54 x ^ 4
Step-by-step explanation:
16x - 54x⁴
= 2x(8 - 27x³)
....
Step-by-step explanation:
i hope this will help!!..
....
(2-3x) (5x+1) factoriser
-15xsquared+7x+2 is the answer
can anyone help me with my homework
14-16
21-24
30-32
51-53
Answer:
y-intercept formula: b=mx-y
X-intercept formula: b=Mx+y
Step-by-step explanation:
m=slope
imagine that you write each letter of the word california on individual cards. you shuffle them, turn them facedown on a table, and trn over the top card. what is the probability of turning over an A?
Answer:
Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.
Now let's find how many letter A's are in the word California, California has two a's in the word.
So there are 2 cards out of 10 that could possibly be selected as the letter A.
Your probability is:-
2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;
1/5 * x/100
solve for x;
20%
The required probability of turning over an A is given as 20% or 0.2.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10
Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%
Thus, the required probability of turning over an A is given as 20% or 0.2.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
PLS HELPPPP IM BEING TIMED
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6?
4
O y=-6x+ 5
O x-x-6
O y=6x+
HELP!!! I ONLY HAVE 2 MINUTES TO TURN THIS IN!!!!!
Write the generic form for a linear equation in slope-intercept form.
ANSWER FIRST TO GET BRAINLIEST!!!!
Answer:
The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.
I need some help with this please
Answer:
3^5 = 3 x 5 ( False )
6^3 = 216 ( True )
9^1 = 1^9 ( False )
Step-by-step explanation:
3^5
= 3 x 3 x 3 x 3 x 3
= 243
6^3
= 6 x 6 x 6
= 216
9^1 = 9
First question:
[tex]3^5=3*3*3*3*3[/tex] ≠ [tex]3*5[/tex]
Answer: False
Second question:
[tex]216 = 6 * 6 * 6 = 6^3[/tex]
Answer: True
Third Question:
[tex]9^1[/tex] ≠ [tex]1 * 1*1*1*1*1*1*1*1=1^9[/tex]
Answer: False
A trader bought 5 bags of rice for GH₵210.00 each if he sold them at a profit of 20% what was the selling price . pls give the step by step explanation
Evaluate 2x + 4y if x = -1 and y = 3
Evaluate ab + c if a = 2 b = -4 and c=5
✏️SUBSTITUTION
Solution:
Number #12x + 4y
Given: x = -1, y = 3
2x + 4y2(-1) + 4(3)-2 + 1210Number #2ab + c
Given: a = 2, b = -4, c = 5
ab + c(2)(-4) + 5-8 + 5-3Answer:
Evaluate 2x + 4y if x = -1 and y = 3
10Evaluate ab + c if a = 2 b = -4 and c=5
-3•••••••••••••••••••••••••••••••••••••••••••••••••
#CarryOnLearning
Please help me out with this.
Answer:
8 & 45
Step-by-step explanation:
This is done regarding BODMAS.
Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2
8 + 18 - 18
8.
Second 2(-3)^2 - 4(-3) + 6
27 + 12 + 6
45.
Answer:
2(2)^2 - 3(2 x -3) -2(-3)^2
8 - 3(-6) - 2(9)
8 - -18 - 18
26 - 18
8
Step-by-step explanation: