work out the area of this circle
Take pi to be 3. 142 and give
your answer
to be 2
decimal places..
11, 2cm

Answer:

7.14%

Step-by-step explanation:

A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.

[tex]\frac{3 * 1}{6 * 7} = \frac{3}{42}[/tex] or 0.0714 or 7.14%

Therefore, the probability of this event happening is 7.14%

The probability of this event is 7.14%.

A fair number cube has 6 sides.

While a normal spinner has 7 different colors.

In order to find the probability of Jack getting a number less than 4 and lands on blue,

we have to find the probability of each individual event and then multiply them together.

The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.

On the wheel there are 7 colors and only one is blue.

Therefore, the probabilitiy is 1/7.

Now we multiply these fractions together.

[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]

[tex]\frac{ 0.0714 }{100}=7.14\%[/tex]

Therefore, the probability of this event is 7.14%.

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9514 1404 393

Answer:

Step-by-step explanation:

1 m is 100 cm, so the volume is ...

  V = LWH

  V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume

__

The mass is ...

  (20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg

The mass of the block is 54 kg.

Answer:

C.) 87

Step-by-step explanation:

if you look at it from the other side, its counting down from 91 from the left.

Answer: 87

No explanation :)

Answer:

m=−57/92,x=−43/4

Step-by-step explanation:

Answer:

there is no graph maybe post again

Answer:

Step-by-step explanation:

75             42

vanilla    choco

Answer:

4(n-16)

Step-by-step explanation:

4 Four

( ) Times

n number

16 16

- difference

Answer:

[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]

Step-by-step explanation:

Given

[tex]Restaurant = \{P,B\}[/tex]

[tex]Movies = \{R,A,D\}[/tex]

[tex]Post-movie = \{C,I\}[/tex]

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

Answer:

x = -3, y = -3

Step-by-step explanation:

Solve the following system:

{-y + 2 x = -3 | (equation 1)

3 y + 4 x = -21 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = -21 | (equation 1)

2 x - y = -3 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{4 x + 3 y = -21 | (equation 1)

0 x - (5 y)/2 = 15/2 | (equation 2)

Multiply equation 2 by 2/5:

{4 x + 3 y = -21 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = -21 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: x = -3, y = -3

Answer:

Find the amplitude which is half the distance between the maximum and minimum.

Find the period of the function which is the horizontal distance for the function to repeat. If the period is more than 2π then B is a fraction; use the formula period = 2π/B to find the exact value.

Find any phase shift, h.

Step-by-step explanation:

Answer:

i dont know your answer but plz can u help me in my maths question plz

Answer:

64

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

you would do 25 / 25 and 176 / 25 and you would get 1 petrol and 7.04 miles

then 1 times 44 and 7.04 times 44 and that would be 44 petrol and 309.76 miles

Answer:

i think false

Step-by-step explanation:

Answer:

40 yards

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Using this, let's set the length as x.

42² + x² = 58²

Simplify.

1764 + x² = 3364

Subtract 1764 from both sides.

x² = 1600

Take the square root.

x = 40

Thus, the length she would swim would be 40 yards.

Answer:

40

Step-by-step explanation:

Given:

The function is:

[tex]f(x)=-4(2)^x[/tex]

The graph of the function [tex]g(x)=f(x)+k[/tex] is given.

To find:

The value of k.

Solution:

We have,

[tex]f(x)=-4(2)^x[/tex]

[tex]g(x)=f(x)+k[/tex]

Using these two functions, we get

[tex]g(x)=-4(2)^x+k[/tex]

From the given graph it is clear that the graph of g(x) passes through the point (0,2). It means the point (0,2) satisfies the function g(x).

Substituting [tex]g(x)=2[/tex] and [tex]x=0[/tex] in the above function, we get

[tex]2=-4(2)^0+k[/tex]

[tex]2=-4(1)+k[/tex]

[tex]2=-4+k[/tex]

[tex]2+4=k[/tex]

[tex]6=k[/tex]

Therefore, the value of k is 6.

Answer:

The possible values of X are 0,1 or 2.

Step-by-step explanation:

In this question:

Two number cubes are going to be rolled.

X is the number of odd numbers that show up on the two cubes.

For each cube, there is one number, which can be even, or odd.

Thus, there can be no odd numbers, one odd number or two odd numbers, and the possible values of X are 0,1 or 2.

Answer:

Amount of shampoo in a bottle = 30 \frac{1}{2} 30

2

1

ounces

Amount of shampoo Nico uses in one bathe for his dog = 1 \frac{1}{4} 1

4

1

Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = 27 \frac{1}{2} 27

2

1

If Nico can Bathe his dog x times using this bottle, the value of x can be written as:

x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } x=

1

4

1

27

2

1

Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.

Thus, Nico can Bathe his dog 22 times using the bottle

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

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Answer:

210.

Step-by-step explanation:

10.5 x 20 = 210

i hope that helps!!!

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

A.)

Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85

Ordered data :

41, 49, 65, 67, 73, 74, 74, 82, 85

Sample size, n = 9

Median = 1/2 * (n +1) th term

Median = 1/2 * 10 = 5th term

Median value = 73

Midrange = (Maximum + minimum) / 2

Midrange = (85 + 41) / 2 = 126 / 2 = 63

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(41*49*65*67*73*74*74*82*85)^1/n

= 66.19

B.)

Sodium grams in canned soup (8 varieties)

X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29

Ordered data:

2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29

Sample size, n = 8

Median = 1/2 * (n +1) th term

Median = 1/2 * 9 = 4.5th term

Median value = (2.75+ 3.6) / 2 = 3.175

Midrange = (Maximum + minimum) / 2

Midrange = (4.29 + 2.68) / 2 = 3.485

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8

= 3.32

C.)

Campus health center visits (12 students)

X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3

Ordered data :

1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13

Sample size, n = 12

Median = 1/2 * (n +1) th term

Median = 1/2 * 13 = 6.5th term

Median value = 3

Midrange = (Maximum + minimum) / 2

Midrange = (1 + 13) / 2 = 7

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12

= 2.82

Answer: 2 primes 1 disinct

Step-by-step explanation:

Answer:

Step-by-step explanation:

the graph will move 3 units to the right

graph 4 I think, although cannot see the picture well

Answer:

Step-by-step explanation:

The -3 translates the graph of x^3 3 units to the right.

Answer:

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Step-by-step explanation:

Equation:

The equation for the population of California, in t years after 1990, is given by:

[tex]P(t) = 29816591(1.025)^t[/tex]

In which 29816591 is the initial population, that is, the population in 1990.

From 1995:

First, we have to find the population in 1995(5 years after 1990), which is P(5), which we will consider as the initial value in the equation.

So

[tex]P(5) = 29816591(1.025)^5 = 33734736[/tex]

So

Since t is still given in years after 1990, we have to subtract t by 1995 - 1990 = 5 in the exponent. So

[tex]P(t) = 29816591(1.025)^{t-5}[/tex]

Answer:

volume = 7/8 cubic units

Step-by-step explanation:

[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]

The elevation of the city with an elevation opposite Seeley's is -45 feet. The correct option is A.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles, and the calculations based on these relationships. It specifically focuses on the ratios between the sides of a right-angled triangle.

The elevation of a city with an elevation opposite of Seeley's can be found by taking the opposite of Seeley's elevation, which is 45 feet, to get the answer.

Therefore, the elevation of the city with an elevation opposite of Seeley's is:

A) -45 feet

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