Answer 5x + 8 − 3x = −10

Answer:

There is a 3/5 chance of the first ball being white, and a 3/10 chance the second one is black.

Step-by-step explanation:

There are 5 balls, of which 3 are white, so you have a 3/5 chance of the first one being white. Then you have 2 white and 2 black balls. There is a 2/4 chance of picking a black ball. Multiply 3/5 and 2/4 to get 6/20, or 3/10 for choosing a white ball then a black ball.

Answer:

The more extreme height was the case for the shortest living man at that time (12.1017 standard deviation units below the population's mean) compare with the tallest living man (at that time) that was 9.3374 standard deviation units above the population's mean.

Step-by-step explanation:

To answer this question, we need to use standardized values, and we can obtain them using the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]  

Where

A z-score "tells us" the distance from [tex] \\ \mu[/tex] in standard deviation units, and a positive value indicates that the raw score is above the mean and a negative that the raw score is below the mean.

In a normal distribution, the more extreme values are those with bigger z-scores, above and below the mean. We also need to remember that the normal distribution is symmetrical.

Heights of men at that time had:

Let us see the z-score for each case:

Case 1: The tallest living man at that time

The tallest man had a height of 252 cm.

Using [1], we have (without using units):

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{252 - 176.74}{8.06}[/tex]

[tex] \\ z = \frac{75.26}{8.06}[/tex]

[tex] \\ z = 9.3374[/tex]  

That is, the tallest living man was 9.3374 standard deviation units above the population's mean.

Case 2: The shortest living man at that time

The shortest man had a height of 79.2 cm.

Following the same procedure as before, we have:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{79.2 - 176.74}{8.06}[/tex]

[tex] \\ z = \frac{-97.54}{8.06}[/tex]

[tex] \\ z = -12.1017[/tex]

That is, the shortest living man was 12.1017 standard deviation units below the population's mean (because of the negative value for the standardized value.)

The normal distribution is symmetrical (as we previously told). The height for the shortest man was at the other extreme of the normal distribution in [tex] \\ 12.1017 - 9.3374 = 2.7643[/tex] standard deviation units more than the tallest man.

Then, the more extreme height was the case for the shortest living man (12.1017 standard deviation units below the population's mean) compare with the tallest man that was 9.3374 standard deviation units above the population's mean.

Green

x=14.7

y=8.5

Red

x=3.5

y=6

Answer:

daddy wants some more dior

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]100 (0.96)^{25} =[/tex] around 36.04

Answer:

10,080 different ways that the letters of "misspell" can be arranged.

Step-by-step explanation:

Number of arrangents of the letters of a word:

A word has n letters.

The are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times

So the number of distincts ways the letters can be arranged is:

[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]

In this question:

Misspell has 8 letters, with s and l repeating twice.

So

[tex]N_{A} = \frac{8!}{2!2!} = 10080[/tex]

10,080 different ways that the letters of "misspell" can be arranged.

Answer:

P=80

Step-by-step explanation:

R= 10  

P = R*2 *4

P of a square = 10*2 *4 = 80

Just divide by any fraction of the squares ratio.

ie) if square = 2/3 of the length of the circle then 80 x 2/3 = 53.333...

ie) if square = 3/4 of the length of the diameter of the circle then 80 x 3/4 = 60

As 3/4 pf 10 = 7.5

7.5 * 2  = 15

15* 4 = 60

Howver the square is outside of the circle as described circle inscribed exactly how much if it fits exactly then the length will be same as circles diameter = 10*2 = D;20.

20 *4 = 80. P;80

Etc.

Answer:

Dear User,

Answer to your query is provided below

(i) Total Loss = Rs.15

(ii) Loss percent = 5%

Step-by-step explanation:

Eggs purchased = 5x12 = 60

Total Cost = 60x5 = Rs 300

Eggs Broken = 10

Eggs Broken cost = 10x5= Rs. 50

Eggs sold = 60-10 = 50

Egg Sale cost = 50x5.70 = Rs 285

(i) Total Loss = C.p. - S.p. = 300 - 285 = 15

(ii) Loss Percent = (Loss/CP)x100 = (15/300)x100 = 5%

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.9

p-value = 0.206

Since the p-value is greater than α therefore, we cannot reject the null hypothesis.

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Step-by-step explanation:

Let σ₁² denotes the variance of night shift-workers

Let σ₂² denotes the variance of day shift-workers

State the null and alternative hypotheses:

The null hypothesis assumes that the variance of night shift-workers is equal to or less than day-shift workers.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance of night shift-workers is more than day-shift workers.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic or also called F-value is calculated using

Test statistic = Larger sample variance/Smaller sample variance

The larger sample variance is σ₁² = 38

The smaller sample variance is σ₂² = 20

Test statistic = σ₁²/σ₂²

Test statistic = 38/20

Test statistic = 1.9

p-value:

The degree of freedom corresponding to night shift workers is given by

df₁ = n - 1

df₁ = 9 - 1

df₁ = 8

The degree of freedom corresponding to day shift workers is given by

df₂ = n - 1

df₂ = 8 - 1

df₂ = 7

We can find out the p-value using F-table or by using Excel.

Using Excel to find out the p-value,

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.9, 8, 7)

p-value = 0.206

Conclusion:

p-value > α    

0.206 > 0.05   ( α = 1 - 0.95 = 0.05)

Since the p-value is greater than α therefore, we cannot reject the null hypothesis corresponding to a confidence level of 95%

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Answer:

Step-by-step explanation:

7. 1, for r = 0 - 1, for r = 1 Hence, determine alo. Using characteristic root ... find the solution of the recurrence relation y, + 9 y, 2 = 6y, 1, subjected to the ... Solve a, -5a, 1 + 6a, 2 = 0 , given initial conditions ao = 2 and a1 = 5. ... Solve the recurrence relation a, – 7a, 1 + 16a, 2 – 12a, 3 = 0 for n > 3 with ... 2"; 3. a = (2)” – n.

Answer:

2

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

Answer:

3000 milliliters

Step-by-step explanation:

1liter contains 1000militers

3liters contain (3*1000)militers

Answer:

3000 millilitres

Step-by-step explanation:

since 1 litre = 1000 millimetres

3 litres will be equal to 1000 x 3 = 3000 ml

Answer:

The vector equation in terms of v1 and v2 is x₁v₁ +x₂v₂ = [296 2454]

Step-by-step explanation:

Solution

The aim is to write down a vector equation in terms of v1 and v2, when solution gives the number of days each mine should operate in order to produce 296 tons of copper and 2454 kilograms of silver.

Thus,

Suppose that b = [ 296 2454] is the corresponding vector which is representing the total needed output.

Now,

If the company operates mine 1 for x1 days and mine​ #2 for x2 days

Then,

The total output becomes x₁v₁ +x₂v₂ which is the same output to  b = [296 2454]

Hence, x₁ and x₂ should be satisfactory to the needed vector equation x₁v₁ +x₂v₂ = [296 2454]

So, the vector equation becomes  x₁v₁ +x₂v₂ = [296 2454]

Answer:

45 degrees

Step-by-step explanation:

sin x=cos(90-x)

sin(45)=cos(90-45)=cos(45)

Answer:

The answer is 45.

sin45=cos45= 1/√2.

hope it helps u ...

D because Caleb had swam 8 more after swimming 13

Answer:

multiples of 12

Step-by-step explanation: when looking at the GCF, the answer is 12

Answer:

the answer you are looking for is D 778

Answer:

y=3x-7

Step-by-step explanation:

lines are parallel hence gradient from the equation in question is the same as the gradient of the equation to be found.. comparing to y=mx+c, eq in question has grad 3... from the formula y-y1=m(x-x1) where (x1,y1) is equal to the point in question

Answer:

Make That Guy Brainliest Now ^^^^^    You can now that there are two answers!

Answer:

  38°

Step-by-step explanation:

The sum of angles that make a line is 180°; the sum of angles in a triangle is 180°. So, we have the following relations:

  2x +y +A = 180

  2y +x + B = 180

  A +B +33 = 180

Adding the first two equations and subtracting the third, we get ...

  (2x +y +A) +(2y +x +B) -(A +B +33) = 180 +180 -180

  3x +3y -33 = 180

  x + y - 11 = 60

  x + y = 71

__

We know vertical angles are congruent, so in triangle QRK, we have ...

  2y +2x +∠K = 180

  ∠K = 180 -2x -2y = 180 -2(x +y) = 180 -2(71)

  ∠JKL = 38°

Answer:

38 degrees

Step-by-step explanation:

Answer:

Area of the figure = 169.5 yards²

Step-by-step explanation:

Area of Rectangle = Length × Width

Area of triangle = 1/2(base × height)

We'll divide the whole figure into parts so that we can find the area more easily!

Rectangle 1 (uppermost):

10 × 4 = 40 yards²

Square 1 (right below the rectangle 1):

7 × 7 = 49 yards²

Rectangle 2 (with square 1):

7 × 3 = 21 yards²

Triangle 1 (Below rectangle 2):

1/2(17 × 7) = 119/2 = 59.5 yards²

Now adding up all to get the area of the whole figure:

Area of the figure = 40 + 49 + 21 + 59.5

Area of the figure = 169.5 yards²

Answer: 30

Step-by-step explanation:

Q1: 120

Q3: 150

To find the interquartile range, subtract Q1 from Q3, which is 150-120. Therefore, the interquartile range  of the kitten's weight, is 30

Answer: 30 grams

Step-by-step explanation:

The interquartile range is the range within the boxed areaa. You subtract the minimum value from the maximum value.

150 - 120 = 30

Answer:

The correct option is  d

[tex]f(1) = -5[/tex]

[tex]f(2) = 11[/tex]

The correct option is d

The correct option is  c

the correct option is  b

Step-by-step explanation:

The given equation is

     [tex]f(x) = x^4 + x -7 =0[/tex]

The give interval  is [tex](1,2)[/tex]

   Now differentiating the equation

        [tex]f'(x) = 4x^3 +7 > 0[/tex]

Therefore the equation is  positive  at the given interval

       Now at x= 1

  [tex]f(1) = (1)^4 + 1 -7 =-5[/tex]

       Now at x= 2

  [tex]f(2) = (2)^4 + 2 -7 =11[/tex]

Now at  the interval (1,2)

      [tex]f(1) < 0 < f(2)[/tex]

i.e

      [tex]-5 < 0 < 11[/tex]

this tell us that there is a value z within 1,2 and

   f(z) =  0

Which implies that there is a root within (1,2) according to the intermediate value theorem

Answer:

0.5 = 50% of bottles have volumes less than 1,007 mL

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

In this question, we have that:

[tex]\mu = 1007[/tex]

What proportion of bottles have volumes less than 1,007 mL?

This is the pvalue of Z when X = 1007. So

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

[tex]Z = \frac{1007 - 1007}{\sigma}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.5 = 50% of bottles have volumes less than 1,007 mL

Answer:

530.93 cm thats what i got at least

Answer:

A =530.66 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is given by r =13

A = (3.14) (13)^2

A =530.66 cm^2

Answer:

$8.5

Step-by-step explanation:

We need to propose a system of equations with the information provided to us.

two large pizzas and one small pizza cost $36:

[tex]2L+S=36[/tex]

where

[tex]L[/tex]: Large pizza

[tex]S:[/tex] Small pizza

and the difference in cost between a large and small pizza is $5.25:

[tex]L-S=5.25[/tex]

our system of equations is:

[tex]2L+S=36[/tex]

[tex]L-S=5.25[/tex]

We are asked for the price of small pizza, so we must manipulate the equations in such a way that adding or subtracting them removes the variable L and we are left with an equation for S.

Multiply the second equation of the system by -2

[tex](-2)(L-S=5.25)\\\\-2L+2S=-10.5[/tex]

and now we sum this with the first equation of the system:

[tex]-2L+2S=-10.5\\+(2L+S=36)\\-------------\\-2L+2L+2S+S=-10.5+36[/tex]

simplifying the result:

[tex]3S=25.5[/tex]

and solving for S (the price of a small pizza)

[tex]S=25.5/3\\S=8.5[/tex]

Answer:

# of broken crayons    # of boces

           1-5                            1

          6-10                          4

          11-15                          5

          16-20                        3

          21-25                         1

Step-by-step explanation:

1-5: 4 (1 number)

6-10: 6, 6, 8, 9 (4 numbers)

11-15: 12, 13, 14, 14, 15 (5 numbers)

16-20: 17, 17, 19 (3 numbers)

21-25: 24 (1 number)

Answer:

Number of broken crayons Number of boxes

1-5 = 4

6-10 = 9

11-15 = 14

16-20 =19

21-25 =24

Step-by-step explanation:

To find the number of boxes compared to the number of broken crayons you have to find 5 consecutive (hence there being five boxes to fill in) numbers with a constant rate of change. Start with the largest number possible that you can pick and then find the second largest so 24 and 19 the rate of change is 5. Compared to 17 and 19 the rate of change is 2 so it doesn’t have the same rate of change but if you try 19-5 you get 14 which is an option if you subtract 14-5 you get 9 which is another option 9-5 is 4 the lowest number you could possibly pick and they all have a constant rate of change of 5 so the answer is correct.

Answer: Y is less than or equal to 65 and X + y= less than or equal to 95

Answer:

(a) all men = 3.6351 * 10^ -7

(b) all women = 2.3483* 10^ -4

(c) 8 men and 4 women = 0.0308

(d) 6 men and 6 women= 0.2170

Step-by-step explanation:

A jury pool has 15 men and 21 women, from which 12 jurors will be selected.

Total = 36 people

Probability of

(a) all men

= 15C12/36C12

= 455/1251677700

= 3.6351 * 10^ -7

(b) all women

= 21C12/36C12

= 293930/1251677700

= 2.3483* 10^ -4

(c) 8 men and 4 women

=( 15C8 * 21C4)/36C12

= (6435*5985)/1251677700

= 38513475/1251677700

= 0.0308

(d) 6 men and 6 women

= (15C6 * 21C6)/(36C12)

= (5005*54264)/1251677700

= 271591320/1251677700

= 0.2170

Answer:

B. The radius

Step-by-step explanation:

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle so we need to know the radius for it