Choose the number sentence that illustrates the distributive property of multiplication over addition.
a.) 3 × (4 + 6) = (3 × 4) + (3 × 6)
b.) 3 × (4 + 6) = (3 + 4) × (3 + 6)
c.) 3 × (4 + 6) = (3 × 4) + 6

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]

[tex]\mu_x^2 = 163.84[/tex]

Variance Formula

[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]      

   [tex]= 174.2- 163.84\\\\=10.36[/tex]

Standard Deviation Formula

[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]

                                   [tex]=\sqrt{10.36}\\\\=3.218[/tex]      

Answer:

99 square feet

Step-by-step explanation:

Because 8 times 9=72+27=99

Answer:

2

Step-by-step explanation:

There are 4 x's at 1 mile so he took 4   1 mile hikes

There are 2 x's at 1 1/4 mile so he  took 2  1 1/4 mile hikes

We want to know how many more 1 mile hikes than 1 1/4 mile hikes

4 -2 = 2

same i pass im at like 70% Step-by-step explanation:

Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

Answer:

15

Step-by-step explanation:

Number of packets shipped out = total weight of electrical supplies / weight of  individual packets

[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]

to solve convert the mixed fractions to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]

[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15

Answer:

J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)

Step-by-step explanation:

So, the first number, is the value on the x axis, The second number, is the value on the y axis.

So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.

K is at 2 on the x axis, and 3 on the y axis.

L is at 3 on the x axis, and 4 on the y axis.

M is at 4 on the x axis, and 1 on the y axis.

Finally, n is at 1 on the x axis, and 2 on the y axis.

Since we write coordinates as (x, y):

K is (2, 3)

L is (3, 4)

M is (4, 1)

N is (1, 2)

Hope this helps!

Answer:

by increasing the size ez

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Answer:

19/30

Step-by-step explanation:

3/10 + 1/3

Get a common denominator of 30

3/10 * 3/3   + 1/3 * 10/10

9/30  + 10/30

19/30

Answer:

19 / 13

Step-by-step explanation:

➟ 3 / 10 + 1 / 3

➟ 3 / 10 × 3/3 + 1 /3 × 10 /10

➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10

➟ 9 / 30 + 10 / 30

➟ 9 + 10 / 30

➟ 19 / 30

[tex]5^{-2}=\frac{1}{5²}[/tex]

Answer:

Solutions given:

[tex]5^{-2}=\frac{1}{5²}[/tex]

since

we have rule of indices

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

Answer: It's 1/25 or 0.04 That's what I got

Step-by-step explanation:

Since 1/5^-2 = 0.04 I think its the first one

Answer:

itss8tsz85sz85s,85s,8td,8td,85dz85dzd85e,7554334567

Step-by-step explanation:

otdxd8td 8td 85sx8ts,ts8,8ts,8td,88ts8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,8ts,,8ts8ts,8t,s8ts,8tz8txdxtitixtxtidittdxdctiti dttxdididez6z84gfiwz84wz85wzy0dcydcydc6dctr456887654

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

(2 / 50) * 8000 = 320

Answer:

320

Step-by-step explanation:

Answer:

a ) 0.03

b) 2.64

c) 1.14

Step-by-step explanation:

Given :

a) 0.001

Now need to find  square root of 0.001

[tex]\sqrt{0.001} =0.03[/tex]

Similarly

b)

[tex]\sqrt{7.01} =2.64[/tex]

c)

[tex]\sqrt{1.31} =1.14[/tex]

Therefore, answer will be :

a ) 0.03

b) 2.64

c) 1.14

Answer: a. 0.03, b. 2.65 c. 1.14

Step-by-step explanation:

You can't find the square root of these manually, so I used a calculator to solve

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

Answer

Hello class!

Step-by-step explanation:

1. The mean is the average of a data set.

2. The mode is the most common number in a data set.

3. The median is the middle of the set of numbers.

Of the three, the mean is the only one that requires a formula. I like to think of it in the other dictionary sense of the word (as in, it’s mean as opposed to nice!). That’s because, compared to the other two, it’s not as easy to work with.

Answer the question : I don't get what the question is suppose to be

Step-by-step explanation:

im pretty sure that the answer is 6 2/3

The question is incomplete. The complete question is :

M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

D. m + n = 0

Answer :

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

Explanation :

It is given that m and n are integers and they both are equal to each other.

i.e. m = n

Therefore for option (A),

m - n = n - m

m - m = m - m   (since m and n are equal)

0 = 0

Therefore, the statement (A) is true.

For option (B),

0 = m - n

0 = m - m      (since m and n are equal)

0 = 0

Therefore, the statement (B) is true.

For option (C),

m + (-n) = m - n

m + (-m) = m - m    (since m and n are equal)

m - m = m - m

0 = 0

Therefore, the statement (C) is true.

Now for option (D),

m + n = 0

m + m ≠ 0    (since m and n are equal)

2m ≠ 0

Therefore, the statement (D) is false.

Hence, the options (A), (B) and (C) are true.

Answer:

Ya está resuelto ya

Step-by-step explanation:

Answer:

-1 (losing a point)

Step-by-step explanation:

it is a probability question

total possible outcomes= 3

favourable outcome(white) = 2

probability of getting a white is 2/3

probability of getting a green is 1/3

so the expected value of the game will be -1

Answer:

I agree other students

Step-by-step explanation:

congrats

Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

Answer:

So, you multiply them.

Step-by-step explanation:

Try it yourself….. Use table multiplication or somthin

Answer:

Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336