Express 0.035 metre into km​

Answer: Top right graph.

Step-by-step explanation:

The function ⌊x⌋ rounds the value x to the lower whole number.

for example:

⌊1.5⌋ = 1

⌊1.923⌋ = 1

⌊2.0⌋ = 2

then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.

if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.

You can check some points if you like:

f(0) = ⌊0⌋ + 2 = 2

f(0.5) = ⌊0.5⌋ + 2 = 2

f(1) = ⌊1⌋ + 2 = 3

So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.

Answer:

c

Step-by-step explanation:

because Ax+Bx=Cx^2

Answer:

$26.70/hour

Step-by-step explanation:

Let's look at 1 day.

She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.

Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.

Monday through Friday means 5 days of work per week.

5 days/week * 16 hours/day = 80 hours/week

She is earning as if she were working 80 hours of regular pay per week.

base salary = (gross weekly income)/(effective number of hours in 1 week)

base salary = $2136/80

base salary = $26.70/hour

Answer:

62.17 days

Step-by-step explanation:

The computation of the number of days  is shown below:

Given that

A(t)=10 × 0.5^(t ÷ 18.72)

1 = 10 × 0.5 ^ (t ÷ 18.72)

0.1 = 0.5 ^ (t ÷ 18.72)

Now consider the log in both sides

ln(0.1) = ln(0.5)^ (t ÷ 18.72)

ln(0.1)  ÷  ln(0.5) = (t ÷ 18.72)

3.321928095  = (t ÷ 18.72)

So, t = 62.17 days

With the help of log, we can easily compute it

Answer:

1 and 2 have already been done.

See below for the answers  to 4 to 6.

Step-by-step explanation:

7.  Finding the limit as x --> 2 of the function:

(2^(x + 2) - 16) / (4^x -16)

= 4(2^x - 4) / (2^x -4)(2^x + 4)

=  4 / (2^x + 4)

When x = 2 this = 4/8 = 0.5

The limit is the same whether you approach 2 from below or above.

So k = 0.5.

Answer:

Number of Other flavor candy is 84.

Step-by-step explanation:

Given that

A total of 560 pieces of candy are there in the box.

[tex]\frac{4}{5}[/tex] of the pieces are fruity.

Number of Fruity pieces:

[tex]\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448[/tex]

Now, remaining pieces = Total pieces - Fruity pieces

remaining pieces = 560 - 448 = 112

Also given that [tex]\frac{1}4[/tex] of the remaining pieces are mind.

Number of mint pieces:

[tex]\dfrac{1}{4}\times 112 = 28[/tex]

Other flavors remaining = Total pieces - Fruity pieces - Mint pieces

Other flavors remaining = 560 - 448 - 28

Other flavors remaining = 112 - 28 = 84

Number of Other flavor candy is 84.

Answer:

The answer is option B.

Step-by-step explanation:

The prime number is 2

Since 1 + 1 = 2

And 1 is an odd number

Hope this helps you

Answer: 64

Step-by-step explanation:

From the question, we are informed that Lisa is currently taking physics as one of her electives in school and that her grade at the end of the year is determined by the average of four exams, each worth 100 points.

First test = 84,

Second test = 92

Third test = 80

Forth test = y

The fourth test is denoted by y.

Since we are told that she must get exactly 80% in the course and she took 4 exams, that means her total score will be: = 80 × 4 = 320

Therefore,

84 + 92 + 80 + y = 320

256 + y = 320

y = 320 - 256

y = 64

The fourth exam's score is 64

Answer:

n = 7

Step-by-step explanation:

The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?

The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.

n= number of sides of the polygon

n-2 * 180 = the sum of the interior angles

9[tex]x^2[/tex]= the sum of the interior angles

9[tex]x^2[/tex]= (n-2) *180

x= 3+ n

9 [tex](3+n)^{2}[/tex]=(n-2) *180

9 (9+6n+n^2) = (n-2) *180

81+54n+9n^2 = (n-2) *180

n = 7

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

Answer:

2

Step-by-step explanation:

Answer: "p divided by 11" or "p over 11" or "p by 11".

Step-by-step explanation:

We use mathematical statements to express any algebraic expression.

For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".

p+q as "sum of p and q" or "p is added to q"

The given expression is : [tex]\dfrac{p}{11}[/tex]

In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".

Hence, the statements are equal to the expression  [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".

Answer:

2, 6, 8, 11

Step-by-step explanation:

A number multiplied by itself gives a perfect square.

4 = 2²

36 = 6²

64 = 8²

121 = 11²

The numbers multiplied by itself that will give 4, 36, 64, 121 are 2, 6, 8 and 11 respectively

These are perfect squares number, such as

4, 9, 16, 25, 36 etc

4 = 2 × 2 = 2²

36 = 6 × 6 = 6²

64 = 8 × 8 = 8²

121 = 11 × 11 = 11²

other examples of perfect squares are

1 × 1 = 1 = 1²

3 × 3 = 9 = 3²

4 × 4 = 16 = 4²

5 × 5 = 25 = 5²

7 × 7 = 49 = 7²

9 × 9 = 81 = 9²

10 × 10 = 100 = 10²

Read more:

https://brainly.com/question/13235091

Answer:  Use a tree diagram for conditional probability

The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.

Step-by-step explanation:

A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this and that" or event a or b "this or that"

You use the fractions on each branch to calculate the final outcome. If it's a and b, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.

If it is a or b, you add the fractions to get the probability of the defined final outcome.

Hey there! I'm happy to help!

A box and whisker plot is a super useful tool for finding these kinds of data!

The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.

Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.

The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.

So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.

Now you can interpret box and whisker plots! Have a wonderful day! :D

Answer:

2 x - y = - 2 and 22 x + 10 y = 7

Step-by-step explanation:

To find the equation to produce a solution of approximately (–0.3, 1.4), we have to solve the equations simultaneously.

a) For line 2 x - y = - 2 and 22 x + 10 y = 7

Multiply line 1 by 10 to give : 20x - 10y = -20

Add 20x - 10y = -20 and 22 x + 10 y = 7 to get:

42x = -13

x = -13/42 = -0.3

Put x = -0.3 in 2 x - y = - 2  to get:

2(-0.3) - y = - 2

-0.6 - y = -2

y = 2 - 0.6 = 1.4

x = - 0.3 and y = 1.4

This is the correct option

b) For line 3 x + 2 y = 5 and 4 x - y = 2

Multiply line 2 by 2 to give : 8x - 2y = 8

Add 8x - 2y = 48 and 3 x + 2 y = 5 to get:

11x = 13

x = 13/11 = 1.2

Put x = 1.2 in 3 x + 2 y = 5  to get:

3 (1.2) + 2 y = 5

y = 1.4

x = 1.2 and y = 1.4

c)  For line 4 x - y =  2 and 22 x + 10 y = 7

Multiply line 1 by 10 to give : 40x - 10y = 20

Add 40x - 10y = 20 and 22 x + 10 y = 7 to get:

62x = 27

x = 0.44

Put x = 0.44 in 4x - y =  2  to get:

y = -0.24

d) For line 2 x - y = - 2 and 3 x + 2 y = 5

Multiply line 1 by 2 to give : 4x - 2y = -4

Add 4x - 2y = -4 and 3x + 2 y = 5 to get:

7x = 1

x = 0.14

Put x = 0.14 in 2 x - y = - 2  to get:

y = 2.28

Answer:

it's A

Step-by-step explanation:

i took the test

Answer:

t=4.19 seconds

Step-by-step explanation:

Distance varies directly with the square of the time of the fall

It means,

D=kt^2

18ft in 2 seconds

D=kt^2

18=k*2^2

18=4k

k=18/4

=9/2

k=9/2

D=kt^2

D=79feet

79=9/2t^2

t^2=79÷9/2

t^2=79×2/9

=158/9

t=√158/√9

t=12.57/3

t=4.19 seconds

Answer:

  (-3, 5), (-1, -1), (5, -3)

Step-by-step explanation:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

Given points are ...

  A(-2, 2), B(1, 1), C(2, -2)

For AB a diagonal, D1 is ...

  A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)

For AC a diagonal, D2 is ...

  A+C-B = (-2+2-1, 2-2-1) = (-1, -1)

For BC a diagonal, D3 is ...

  B+C-A = (1+2-(-2), 1-2-2) = (5, -3)

_____

For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.

Answer:

Answer:

 (-3, 5), (-1, -1), (5, -3)

Step-by-step explanation:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

Given points are ...

 A(-2, 2), B(1, 1), C(2, -2)

For AB a diagonal, D1 is ...

 A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)

For AC a diagonal, D2 is ...

 A+C-B = (-2+2-1, 2-2-1) = (-1, -1)

For BC a diagonal, D3 is ...

 B+C-A = (1+2-(-2), 1-2-2) = (5, -3)

_____

For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.

Thanks for everything have a good day

Answer:

25%

Step-by-step explanation:

You set up the proportion 108.75/145 is x/100 to find out what percentage of 145 108.75 is. You can then use this proportion to find that percentage with cross multiplying, by doing this you get the equation 108.75 times 100 is equal to 145x. Then you simplify to get 10,875=145x. Then you solve like regular by dividing both sides by 145 to get x=75. Now we know that 108.75 is 75% of 145, but we aren't done yet. Now in order to find the discount price you subtract 75 from 100 to get 25, so you're finding the difference between 100 and the x-value we just found. The final answer is 25%

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.

If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 ​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses.  

b. Compute the test statistic.

c. Find the p-value.

d. State the conclusion.

Answer:

Null hypotheses = H₀: σ = 0.16  oz

Alternate hypotheses = H₁: σ < 0.16  oz

Critical value = 6.408

Chi-square value = [tex]\chi^2[/tex] = 13.016

Reject H₀  Since [tex]\chi^2[/tex] > Critical value

Reject H₀ Since p-value ≤ α

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Step-by-step explanation:

Set up hypotheses:

The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz

Null hypotheses = H₀: σ = 0.16  oz

The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz

Alternate hypotheses = H₁: σ < 0.16  oz

Determine type of test:

Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.

Determine the Critical value:

Given level of significance = 0.01

Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from  one, and then look it up

α = 1 - 0.01 = 0.99

degree of freedom = df = n - 1 = 18 - 1 = 17

The critical value from the chi-square table at α = 0.99 and df = 17 is found to be

Critical value = 6.408

Using an online “chi-square p-value calculator”

The left tail p-value for df = 17 and Critical value = 6.408 is found to be

p-value = 0.01

Set up decision rule:

Reject H₀ If  > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

OR

Reject H₀ If p-value ≤ α

Compute the test statistic:

[tex]$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $[/tex]

[tex]$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $[/tex]

[tex]\chi^2 = 13.016[/tex]

Conclusion:

We reject H₀

Since [tex]\chi^2[/tex] > Critical value

13.016 > 6.408

Also

p-value ≤ α

0.01 ≤ 0.01

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Answer:

The angles are 15,75,90

Step-by-step explanation:

Multiply the ratio by x

1x:5x: 6x

The sum of the angles of a triangle are 180

1x+5x+6x = 180

Combine like terms

12x = 180

Divide by 12

12x/12 = 180/12

x =15

Multiply by 15

1*15 : 5*15: 6*15

15: 75:90

12: 60: 72

Answer:

[tex]P=0.1833[/tex]

Step-by-step explanation:

The number of ways or combinations in which we can choose x elements from a group of n is calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, the probability that none of the damaged houses are insured can be calculated as:

[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]

Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.

The probability that none of the damaged houses are insured is 1/120, so:

[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]

kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.

Then, the probability that one of the damaged houses is insured can be calculated as:

[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]

Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.

Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:

[tex]P=\frac{1}{120}+0.175=0.1833[/tex]

Answer:

third option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus

(x - 4)² + (y - (- 1))² = 5², that is

(x - 4)² + (y + 1)² = 25 ← equation of circle

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

Answer:

The answer is A on edg 2020

Step-by-step explanation:

Hey there! :)

Answer:

120.

Step-by-step explanation:

Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:

4(5)² + 2(5)(2) =

4(25) + 2(10) =

100 + 20 =

120.

All of them are true.

A: Rule.

B: There exist such functions f and g that satisfy the equality.

C: According to (A) this is acceptable.

D: Rule.

Hope this helps.

Answer:

D part

Step-by-step explanation:

Answer:

The picture is attached!

Step-by-step explanation:

For c, the last bracket said (y=6) and I assumed that it is (y+6).

If it is (y-6), the answer would change, so please tell me if I am wrong.

But the rest, I hope it helps, if you have any questions, please feel free to ask me:)

BRAINLIEST would help me a lot:)

Answer:

Mean value = 55.5

Step-by-step explanation:

Y = 5X1 + 3X2 + 9X3

CASE 1:

X1 = 2, X2 = 5, X3 = 0

Y = 5(2) +3(5) + 9(0) = 10 + 15 + 0 = 25

CASE 2:

X1 = 4, X2 = 10, X3 = 4

Y = 5(4) + 3(10) + 9(4) = 20+30+36 = 86

The mean value of Y is (25 + 86)/2 = 55.5

The variance from the mean is 30.5

Answer:

1500 people

Step-by-step explanation:

Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.

60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500

Hope this helps!

Answer:

-4

Step-by-step explanation:

-1.5 (4-r) = -12   Distribute the -1.5.  

-6 - 1.5r = -12   Add 6 to both sides.

-1.5r = 6  Divide both sides by -1.5.

r = -4

Answer:

[tex] \boxed{\sf r = - 4} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]

Answer:

Value of x = 4.6 (Approx)

Step-by-step explanation:

Note:

The statement in given question is missing that both angles are congruent.

Given:

m∠VWA = 120°

m∠BWC = (32 x - 27)°

Find:

Value of x

Computation:

We know that,

⇒ m∠VWA = m∠BWC

⇒ 120 = 32x - 27

⇒ 120 + 27 = 32x

⇒ 147 = 32x

⇒ x = 147 / 32

⇒ x = 4.59375

x = 4.6 (Approx)

Answer: x=5, y=7

Step-by-step explanation:

Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.

y+14=3y                               [subtract both sides by y]

14=2y                                   [divide both sides by 2]

y=7

------------------------------------------------------------------------------------

10x=x+45                            [subtract both sides by x]

9x=45                                 [divide both sides by 9]

x=5