It is estimated that 26% of the population of Gingerland have red hair. If 10 residents are chosen at random, what is the probability that... (assume each person is independent)
a) exactly 4 of them have red hair?

b) less than 5 of them have red hair?

c) at least one of them has red hair?

d) What is the expected (mean) number of people you will find with red hair in this group of 10?

Answer:

Hi how are you doing today Jasmine

Answer: y = 0 - 4

Step-by-step explanation:

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

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Answer:

2 and 1/2

Step-by-step explanation:

Answer:

11,000

Step-by-step explanation:

Average or Mean= sum of goods/ total number of goods

Average= 6,000+12,000+20,000+8,000+9,000/5

= 55,000/5

= 11,000

Answer:

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

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Answer:

5n - 2n - 3 + n

3n - 3 + n

3n + n = 3

4n = 3

N= 4 ➗ 3

N = 1.33

Step-by-step explanation:

Answer:

divide round and nearest hundredths place 4.05 / 0.07 ​the answer would be:

57.86

Np.

Answer:

25% chance

Step-by-step explanation:

Answer:

B table

Step-by-step explanation:

The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.

Buying bags of apples from orchard will be the better deal.

Unit price cab be found by using formula ,dividing the total price by the price of of one quantity.

[tex]price of one item=\frac{total price }{total number of items}[/tex]

According to the given question

At the market:

Cost of 6bags of apples=$31.02

⇒ Cost of 1bag of apples [tex]=\frac{31.05}{6} =5.17[/tex]

At the orchard:

Cost of 5bags of apples =$25.40

⇒ Cost of 1bag of apples=[tex]\frac{25.40}{5}[/tex]=$5.08

Therefore, unit price of a bag of apples from orchard  is less as compared to the bag of apples from market.

Hence, buying bags of apples from orchard will be the better deal as compared to the buying bags of apples from market.

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Answer:

hii

Step-by-step explanation:

Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.

======================================================

Explanation:

The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.

Multiply both parts by x to get 2x:3x

We have 2x parts of blue paint, and 3x parts of yellow paint.

x is some positive whole number.

In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get

5x = 38

x = 38/5

x = 7.6

We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.

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

Here's another way to look at it:

Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.

Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.

We continue this process to get the following

As you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.

This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.

Answer:

The most common methods are wind, water, animals, explosion and fire. Dandelion seeds float away in the wind.

Step-by-step explanation:

Because plants cannot walk around and take their seeds to other places, they have developed other methods to disperse (move) their seeds.

Answer:

Seeds with wings

Hitchhikers

Going with the flow

help from animals

Step-by-step explanation:

Answer:

If i'm correct I think that the length of a would be 4 because it shorter then five just by a minuscule measure .

Step-by-step explanation:

Answer:

7 Weeks

Step-by-step explanation:

Each week is 105 because 1500*.07=105

Then through the process of elimination I found it would take 7 weeks.

Answer:

the statement that shows that 49 is a perfect square 49 is equal to 7 times 7

Answer:

[tex]Ratio = 1.5 : 1[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 6 : 4[/tex]

Required

Express as [tex]n : 1[/tex]

[tex]Ratio = 6 : 4[/tex]

Divide ratio by 4

[tex]Ratio = 6/4 : 4/4[/tex]

[tex]Ratio = 6/4 : 1[/tex]

Express 6/4 as 1.5

[tex]Ratio = 1.5 : 1[/tex]

Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]

Step-by-step explanation:

Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.

Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.

6x + 5y = $94

- (6x + 4y = $80)

=> y = $14.

Therefore 6x + 5($14) = $94, 6x = $24, x = $4.

Hence each apple pie costs $4 and each lemon meringue pie costs $14.

Answer:

2.6e+21

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

h=2x-6

18=2x-6

24=2x

12=x