What is the probability that 2 randomly selected months have 31 days?

Answer:

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50.........(i)

Nancy purchase

4a + b = 31.50..............(ii)

combine the equations

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

b = 31.50 - 4a

insert the value of b in equation(i)

2a + 5b = 40.50.........(i)

2a + 5(31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = -117

divide both sides by -18

a = -117/-18

a = 6.5

insert the value of a in equation(ii)

4a + b = 31.50..............(ii)

4(6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5

Answer:

Step-by-step explanation:

Let [tex]m=x^2-5[/tex]

We want to express the equation [tex](x^2-5)^2-3x^2+15=-2[/tex] in terms of m.

Given: [tex](x^2-5)^2-3x^2+15=-2[/tex]

Factorizing the third and fourth term, we obtain:

[tex](x^2-5)^2-3(x^2-5)=-2[/tex]

Substituting  [tex]m=x^2-5[/tex], the above equation becomes:

[tex]m^2-3m=-2[/tex]

Since the options are not given, the equivalent equation is:

[tex]m^2-3m=-2[/tex]

It could also be written in a rearranged form as:

[tex]m^2-3m+2=0[/tex]

Step-by-step explanation:

Step 1:  Convert degrees into radians

[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]

[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]

[tex]\frac{52\pi}{180}[/tex]

[tex]\frac{13\pi}{45}[/tex]

Step 2:  Find the arc length

[tex]S = r\theta[/tex]

[tex]S=(3)(\frac{13\pi}{45})[/tex]

[tex]S = \frac{39\pi}{45}[/tex]

[tex]S=\frac{13\pi}{15}[/tex]

Answer: Option B

Answer:

She would have $1,126.16 in 3 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Invested 1000, which means that [tex]P = 1000[/tex].

Interest of 4%, so [tex]r = 0.04[/tex]

Semianually is twice a year, so [tex]n = 2[/tex]

How much money would she have in 3 years?

This is A(3).

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]

She would have $1,126.16 in 3 years.

Answer:

8

Step-by-step explanation:

you basically multiply 2 by 4 anyways hope this helps

Answer:

Look below.

Step-by-step explanation:

I don't really want to explain... (just use Pythagorean's Theorem)

2a. 12

2b. 5

2c. 13

3a. 4

3b. 3

3c. 5

The c's are the hypotenuse.

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

Answer:

s=41/2 or 8.2

Step-by-step explanation:

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

Answer:

A= 185.12 ft²

C=  12.56 ft

Step-by-step explanation:

Area of rectangle is 160 ft²

Area of semi-circle is 25.12 ft²

3.14*4*4=3.14*16=50.24

50.24/2=25.12

160+100.48=260.48 ft² ≈260.5 ft²

3.14*4=12.56

Answer:

185.136

Step-by-step explanation:

20×8=160ft²

3.142×4²= 50.272

50.272÷2=25.136

160+25.146= 185.136

Answer:if u need help go to a Psychiatric hospital

Step-by-step explanation:

Answer:

Graph has one x-intercept only

Step-by-step explanation:

Given: Graph of the function

To check: If there are two x-intercepts

Solution:

x-intercepts are the x-coordinate of the point where the graph intersects the x-axis.

The graph of the function intersects x-axis at one point only. So, the graph has one x-intercept only. From the graph, the graph can not be extended further on the left as the distance can not be negative.

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

Answer:

60,000

Step-by-step explanation:

Answer:

60000

Step-by-step explanation:

use a calculator

Answer:

( w-7) (w+5)

Step-by-step explanation:

w^2 -2w - 35

What 2 numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

( w-7) (w+5)

Answer:

(w + 5) • (w - 7)  = A

Step-by-step explanation:

factoring  w2-2w-35  

The first term is,  w2  its coefficient is  1 .

The middle term is,  -2w  its coefficient is  -2 .

The last term, "the constant", is  -35  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -35 = -35  

Step-2 : Find two factors of  -35  whose sum equals the coefficient of the middle term, which is   -2 .

     -35    +    1    =    -34  

     -7    +    5    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  5  

                    w2 - 7w + 5w - 35

Step-4 : Add up the first 2 terms, pulling out like factors :

                   w • (w-7)

             Add up the last 2 terms, pulling out common factors :

                   5 • (w-7)

Step-5 : Add up the four terms of step 4 :

                   (w+5)  •  (w-7)

          (w + 5) • (w - 7)  = 0

Answer:

40

Step-by-step explanation

100-60=40

Answer:

3003

Step-by-step explanation:

This is a combination since the order doesn't matter

15 C 10

The formula

15!

-------

10! (15-10)!

15*14*13*12*11

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

5*4*3*2*1

3003

Answer:

A

Step-by-step explanation:

The rule for negative exponents is:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

We have:

[tex]5^{-2}[/tex]

So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:

[tex]\frac{1}{5^2}[/tex]

Evaluate the exponent in the denominator

[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]

Therefore, choice A, 1/25 is correct.

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Answer:

There are 64 possible outcomes.

Step-by-step explanation:

Each flip has 2 options, heads or tails.

         head               tail

One flip has 2 outcomes. When you flip again, you can get this set of 4 outcomes:

         head-head      tail-head

         head-tail          tail-tail

Then when you flip a third coin, each of those cases has 2 cases itself. As you can see, each flip that is added, the total number of outcomes doubles. For 6 flips, you do 2x2x2x2x2x2 or [tex]2^{6}[/tex].

Answer: (x +4)(x - 4)

Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.

The first position in each binomial is filled by

the factors of x² that are the same, x times x.

The second position in each binomial is filled

by the factors of 16 that are the same, 4 times 4.

The answer therefore is (x + 4)(x - 4).

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]

Now, we have:

[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]

We want to combine like terms, which means combining all the terms with y in them:

[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)

To solve this, we first normalize or standardize 5.5 inches

The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00

The required probability

P(x < 5.5) = P(z < -1.00)

We'll use data from the normal probability table for these probabilities

P(x < 5.5) = P(z < -1.00) = 0.15866

Hope this Helps!!!

explanation: hi buddy i can help you with this

Answer:

No solution

Step-by-step explanation:

6-2z+2z = -1

6 = -1

Answer:

The area is 128.605[tex]meters^2[/tex]

Step-by-step explanation:

The formula for the area of a triangle is :[tex]\frac{base*height}{2}[/tex]

To work this out you would first have to divide the shape into 4 smaller triangles.

Then we are going to first calculate the area of on the bottom triangles. To do this we would multiply the base of 8.5 and the height of 10.2, this gives you 86.7[tex]meters^{2}[/tex]. Although you would normally divide the answer by 2, as there are 2 identical triangles that is not necessary.

Now that we know the area of the bottom triangles we can now work out the top triangles. You can do this by multiplying the base op 8.5 by the height of 4.93, this gives you  41.905[tex]meters^2[/tex].

To work out the total area of this shape you would simply add the areas of 86.7 and 41.905, this would gives you [tex]128.605meters^2[/tex]. This is because we first broke the shape down so you could work out the area of each individual area, however to work out the total all the areas must be added up.

1) Divide the shape into 4 smaller triangles.

2) Multiply 8.5 by 10.2.

[tex]8.5*10.2=86.7meters^2[/tex]

3) Multiply 8.5 by 4.93.

[tex]8.5*4.94=41.905meters^2\\[/tex]

4) Add 86.7 and 41.905.

[tex]86.7+41.905=128.605meters^2[/tex]