How do I find the mean of these numbers

Answer:

x = 1

Step-by-step explanation:

29x + 2 = 31

       -2      -2

29x = 29

-----    -----

29      29

x = 1

Define the system of equations to solve the problem

Take x as the price of a senior citizen ticket and y as the price of a child ticket

Solve the system

The price of a senior citizen ticket is $15 and for child is $4

Answer:

1

Explanation:

Radius = C/2π

C is 6.28 and 2*pi is also 6.28

So 6.28/6.28 = 1.

Answer: the answer is 1

Step-by-step explanation:

The probabilities of the flights being on time, given the normal binomial approximations is :

To use the normal approximation to the binomial, we first find the mean (μ) and standard deviation (σ) of the corresponding binomial distribution.

In this case, n = 193 and p = 0.87.

μ = np = 193 * 0.87 ≈ 167.91

σ = √(np(1-p)) = √(193 x 0.87 x 0.13) = 4.67

P(exactly 176 flights are on time)

We apply the continuity correction by considering the range 175.5 to 176.5.

Z1 = (175.5 - 167.91) / 4.67 ≈ 1.62

Z2 = (176.5 - 167.91) / 4.67 ≈ 1.84

Using a Z-table, we find the corresponding probabilities:

P(Z1) ≈ 0.9474

P(Z2) ≈ 0.9671

P(exactly 176) ≈ P(Z2) - P(Z1) = 0.0197

P(at least 176 flights are on time)

We apply the continuity correction by considering the range 175.5 to ∞.

Z = (175.5 - 167.91) / 4.67 ≈ 1.62

P(Z) ≈ 0.9474

P(at least 176) = 1 - P(Z) =  0.0526

P(fewer than 159 flights are on time)

We apply the continuity correction by considering the range -∞ to 158.5.

Z = (158.5 - 167.91) / 4.67 ≈ -2.01

P(Z) ≈ 0.0223

P(fewer than 159) = 0.0223

P(between 159 and 172, inclusive)

We apply the continuity correction by considering the range 158.5 to 172.5.

Z1 = (158.5 - 167.91) / 4.67 ≈ -2.01

Z2 = (172.5 - 167.91) / 4.67 ≈ 0.98

P(Z1) ≈ 0.0223

P(Z2) ≈ 0.8365

P(between 159 and 172, inclusive) ≈ P(Z2) - P(Z1) = 0.8142

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Answer:

the answer is the first one

Step-by-step explanation:

The  functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

given:

P= $500

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 500.00\((1 + 0.1/1)(1)^4\)

A = 500.00\((1.1)^4\)

A = $732.05

Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

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Answer:

The base is 6.69 and the height is 6.02 (these are rounded to the nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:

P = 1/5 = 0.20

Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.

The experimental probability is:

Pe = 111/300 = 0.37

You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.

Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.

The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.

Using the null hypothesis test we calculate that variance is less than 6.25 .

Data sample is 0.05.

20 people make up the sample.

And ,

The theories are:

H₀ : μ² = 6.25

H₁ : μ² < 6.25

The critical value = 10.117.

If the test statistic is less than this number, the null hypothesis will be rejected. When the p-value is less than or equal to your significance level, we reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data. The null must be removed when the p-value is low, as a mnemonic device.

This is the test statistic:

2.976 × 19 / 6.25 = 9.047.

Therefore, we disregard the null hypothesis. The difference is less than 6.25 since it is not 6.25.

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Answer:

12/16 or 3/4

Step-by-step explanation:

Answer:

57.5$

Step-by-step explanation:

5$ a pound, 11.5 pounds, multiply them and you get 57.5$

Answer:

45

Step-by-step explanation:

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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Answer:

Step-by-step explanation:

We know that:

So the value of the expression is:

Answer:

75°

Step-by-step explanation:

Recall the common trigonometric angles:

  \(\sin 30^{\circ}=\dfrac{1}{2}\)

  \(\tan 45^{\circ}=1\)

Arcsin is the inverse of sin.

Arctan is the inverse of tan.

\(\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}\)

\(\implies \arctan (1) = 45^{\circ}\)

Therefore:

\(\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}\)

Answer:

224

Step-by-step explanation:

Bxh 32x7= 224

Answer:

I think its c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Sin 64=23/a. Let use trig identities to find other points

First, since sin and cos like are complementary angles we can use this formula

\( \sin(x) = \cos(y) \: \: \: x + y = 90\)

sin 64=23/a

\(64 + x = 90\)

\(x = 26\)

So cos 26=sin 64 so B is a answer

9514 1404 393

Answer:

  LJ = 14

Step-by-step explanation:

The angle bisector divides corresponding triangle segments proportionally.

  LJ/LK = JM/KM

  (x+3)/8 = (x-4)/4

  x +3 = 2(x -4) . . . . . . multiply by 8

  11 = x . . . . . . . . . . . . . add 8-x, simplify

Then the length LJ is ...

  LJ = x+3 = 11 +3

  LJ = 14

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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The value of s in the point (s,-3) after using slope formula is -4.

What is slope?

Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making. 

Using slope formula,

=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)

Now the given point  is ,

\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)

=> slope m= 1/4

=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)

=> \(\frac{1}{4} = \frac{-1}{-8-s}\)

=> -8-s=-4

=>-s=-4+8

=> -s=4

=> s =-4.

Hence the value of s is -4.

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9514 1404 393

Answer:

  7.4 inches

Step-by-step explanation:

The coefficient of 1.4 on the variable t tells you that when t increases by 1, the value of D increases by 1.4.

In one more hour, the snow will be 1.4 more inches deep. Since it is already 6 inches deep, it will be 7.4 inches deep.

Answer:

x=15.2

Step-by-step explanation:

x²+27²=31²

x²+729=961

x²=961-729

x²=232

x=√232

x=15.23

By the use of the distributive property, we have the result obtained as 6xy - 6xz.

The term distributive property has to do with the process by which we can remove the brackets that may sometimes occur in a mathematical expression. It is the way by which we can be able to rewrite the mathematical expression without adding the brackets thereby making mathematical operations much easier.

We have the expression; 6x (y - z)

Multiplying through by 6x we have;

6xy - 6xz

Using the distributive property, we obtain; 6xy - 6xz

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Answer:

see below

Step-by-step explanation:

3.5n=10.5

Divide each side by 3.5 to isolate n

3.5n /3.5 = 10.5/3.5

n =3

Answer:

-1.53

0.47

-2.07

2.65

The last two observations are unusual

Step-by-step explanation:

mathematically;

z-score =( x-mean)/SD

Kindly note that an observation is termed unusual if the z-score is greater than +2 or less than -2

for x= 13

z-score = (13-21.4)/5.5 = -1.53

for x= 24

z-score= (24-21.4)/5.5 = 0.47

for x = 10

z-score = (10-21.4)/5.5 = -2.07

unusual

for x = 36

z-score = (36-21.4)/5.5 = 2.65

unusual

Answer:

Step-by-step explanation:

Answer 1 :

x=5

25/30 = 5/6 because it is divided/multiplied by a factor of 5

Answer 2 :

1 donut = 45cents

$2.70 / 6 = 45cents

Answer 3 :

3/10 =

1.5/5

or

6/20

or

9/30

or

30/100

Answer 4 :

x=15

3/8 = 15/40 because it is divided / multiplied by a factor of 5

Answer 5:

1 oz is 0.14 cents

$1.68 / 12oz = 0.14 cents

Good Luck!

a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) The line intersects yz-plane at (0, 8/3, 17/3)

The given points on the line are:

(x₁, y₁, z₁) = (−2, 4, 3)

(x₂, y₂, z₂) = (1, 2, 7)

The direction ratios of this line are:

⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩

             = ⟨1 + 2, 2 − 4, 7 − 3⟩

             = ⟨3, −2, 4⟩

a) Parametric equations of the line:

These are given by:

x(t) = x₁ + at = −2 + 3t

y(t) = y₁ + bt = 4 − 2t

z(t) = z₁ + ct = 3 + 4t

Symmetric equation of the line:

This is given by:

              (x − x₁)/a = (y − y₁)/b = (z − z₁)/c

              (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) When a line intersects the yz-plane, its x-coordinate is zero.

Using the parametric equations of the part (a):

                                   x = 0

                          −2 + 3t = 0

                                  3t = 2

                                    t = 2/3

Substitute this in the parametric equations corresponding to y and z as well:

                                   y = 4 −2t

                                      = 4 − 2(2/3)

                                      = 8/3

                                   z = 3 + 4t

                                      = 3 + 4(2/3)

                                      = 17/3

Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)

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Answer:

you would need 2 1/2 cups of flour

Answer:

2.5 cups of flour is needed for 5 eggs.

Step-by-step explanation:

The crepe recipe calls for 2 eggs, 1 cup of flour, and 1 cup of milk. This means that the ratio of eggs to cup of flour to cup of milk required is 2:1:1

Therefore, if you use 5 eggs, the proportions would increase by 2.5. Multiplying by 2.5, it becomes

5 : 2.5 : 2.5

Therefore, you would need 2.5 cups of flour for 5 eggs.