What is the answer? I really need it.

Answer:

A (2, 4)

B (-6, 4)

C (-6, 2)

D (2, 2)

Step-by-step explanation:

If it is being reflecting across the y-axis, the rule is this:

(x, y) ---> (-x, y)

So...

A (-2, 4) ---> (2, 4)

B (6, 4) ---> (-6, 4)

C (6, 2) ---> (-6, 2)

D (-2, 2) ---> (2, 2)

Answer:

16 : 30,  16 to 30,  16/30

Step-by-step explanation:

Answer:

The ratio of boys to girls in the simplest form is 7:8

Step-by-step explanation:

There are 14 boys and 16 girls in a class. The ratio of boys to girls in the class is 14:16 or 7:8.

sin53=x/15

0.798×15=x

x=11.98is your answer

Answer:

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Step-by-step explanation:

Given the data in the question;

Starting position:     1     2     3     4     5     6

# of Winners:         25   22   18   19    21   15

Mean x" (E) = (25+22+18+19+21+15)/6 = 120/6 = 20

Observed/Expected value table;

O       E            ((O-E)²) / E

25    20            1.25

22    20            0.2

18     20            0.2

19     20           0.05

21     20           0.05

15     20           1.25

∑                         3

so using chi square = ∑(((O-E)²) / E) = 3

DF = n-1 = 6-1 = 5

then, the critical chi square value is;

significance level = 0.05

chi square( critical ) = 11.07049769

from table;

p - value = 0.699986

Hence, the p-value ( 0.699986) > 0.05,  FAIL TO REJECT THE NULL HYPOTHESIS

there is no significant evidence that starting position is a factor in horse races

Answer:

1/3 because they have only colored on out of three, so the answer will be 1/3. Hope this helped!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The fact you need to use is 47%

47/100 * 47/100 = 2209 / 10000 = 0.221

Use the given functions to set up and simplify PM

M =

PA =

8x - 1

M=

2x + 17A

PM=

Answer:

[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal  probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]

Answer:

1.8

Step-by-step explanation:

Answer:

6 is 30 percent of 20 STEP 1 6 = 30% × Y

STEP 2 6 =  

30

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3 Y = 6 ×  

100

30

STEP 4 Y = 6 × 100 ÷ 30

STEP 5 Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20

Step-by-step explanation:

Answer:

The cup would contain 10.16 ounces.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 10 ounces, standard deviation of 1 ounce:

This means that [tex]\mu = 10, \sigma = 1[/tex]

If we simulated the filling process, and had the random number .564, how many ounces would the cup contain?

This means that we have to find X when Z has a pvalue of 0.564. So X when Z = 0.16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.16 = \frac{X - 10}{1}[/tex]

[tex]X - 10 = 0.16*1[/tex]

[tex]X = 10.16[/tex]

The cup would contain 10.16 ounces.

Answer:

Step-by-step explanation:

Answer:

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Step-by-step explanation:

As given ,

                                       Windbreakers          Rain breakers              Total

Finishing time                         59 min                     58 min                   61 hr

Packaging time                        21 min                      34 min                   68 hr

Profit                                          28                                41

Let

The number of windbreaker jackets they should produce = x

The number of rain breaker jackets they should produce = y

As given,

The company wants to maximize profit.

⇒ Maximum Profit , p = 28x + 41 y

Now,

As 1 hour = 60 min

⇒61 hours = 61×60 = 3660 min

and 67 hours = 67×60 = 4020 min

∴ we get

The equations become

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

So, the Linear Programming Problem (LPP) for this problem is -

Max p = 28x + 41y

Subject to

59x + 58y ≤ 3660

21x + 34y ≤ 4020

x  ≥  0, y ≥ 0

Answer:

there is a 60% chance they pick a blue pencil

Answer:

[tex]Factor = 220 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2\frac{1}{2}[/tex]

[tex]Final = 5\frac{1}{2}[/tex]

Required

Determine the factor of increment

First, we calculate the percentage increment

[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]

Express fractions as decimals

[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]

[tex]\% Increment = \frac{300}{2.5} \%[/tex]

[tex]\% Increment = 120 \%[/tex]

So, the factor of increment is:

[tex]Factor = 100\% + Increment[/tex]

[tex]Factor = 100\% + 120 \%[/tex]

[tex]Factor = 220 \%[/tex]

Step-by-step explanation:

w= L-4

$(24L-48)

......

5q - 21/14 = 1

First add 21/14 to both sides to get:

5q = 1 21/14

Simplify the right side:

21/14 = 3/2 = 1 1/2

Now you have 5q = 2 1/2

Divide both sides by 5:

q = 1/2

Answer:

Step-by-step explanation:

Local minimum. It would be the minimum value of the function not including the end points. If you are including the end points, its an absolute minimum

50% off makes the new price half of the original, then another 50 % would be half off the discounted price, so they actually end up paying 25 % of the original price:

50 % x 50 % = 25 %

Answer:

she was charged for 50% of the 50% off

Step-by-step explanation:

Lets say the original price was 100$ The store discounted it by 50% so it is now 50$ but the coupon take 50% off of that 50 so it would be 25$

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that [tex]x \sim U(90, 120)[/tex]

 In point a:

so, pdf of x =

[tex]\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x <120[/tex]

In point b:

To find

[tex]\to P(x<110) = \int^{110}_{90} \frac{1}{30} \ dx\\\\=\frac{110-90}{30}\\\\=\frac{20}{30}\\\\=\frac{2}{3}\\\\[/tex]

In point c:

[tex]\to P(x<100) = \int^{100}_{90} \frac{1}{30} \ dx \\\\= \frac{100-90}{30}\\\\= \frac{10}{30}\\\\= \frac{1}{3}\\\\[/tex]

In point d:

[tex]\to P(95< x< 110)[/tex]

[tex]= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}[/tex]

18.9 or 18 9/10 or b or the second option.

Answer:

it's 18 9/10

Step-by-step explanation:

Answer:

1. Y = -4/3

2. 2x = 2y + 10

Step-by-step explanation:

1.  y =− 2y − 4

Step 1: Add 2y to both sides.

y + 2y = −2y − 4 + 2y

3y = −4

Step 2: Divide both sides by 3.

3y/3 = -4/3

y = -4/3

2.  solve for x

y=1/2x-5

Step 1: Flip the equation.

1/2x−5=y

Step 2: Add 5 to both sides.

1/2x−5+5=y+5

1/2x=y+5

Step 3: Divide both sides by 1/2.

1/2x/1/2=y+5/1/2

x=2y+10

not sure if this will help but here you go :)

Answer:

Step-by-step explanation:

1). Let the distance of the race = x feet

   Speed of hare = 250 feet per hour

   If it takes the time to complete the race = t hours

   Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

   250 = [tex]\frac{x}{t}[/tex]

   t = [tex]\frac{x}{250}[/tex]

2). Speed of tortoise = 50 feet per hour

   Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]

   So the equations will be,

   t = [tex]\frac{x}{250}[/tex] -------(1)

   [tex]t_1=\frac{x}{50}[/tex] -------(2)

3). Since, tortoise took 8 hours longer than hare,

   [tex]t_1[/tex] - t = 8

   [tex]\frac{x}{50}- \frac{x}{250}=8[/tex]

   [tex]\frac{(5-1)x}{250}=8[/tex]

   [tex]\frac{4x}{250}=8[/tex]

   x = [tex]\frac{250\times 8}{4}[/tex]

   x = 500 feet  

The slope of the line is 1.

The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.

Answer:

1

Step-by-step explanation: