______________ of rational numbers is distributive over addition of rational numbers.

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

Answer:

1/4

Step-by-step explanation:

(I think ) sorry it it's wrong

Answer:

a) below

b) log_35 (8) = x

c) x = 0.58487

Step-by-step explanation:

a) 35^x=8

apply the exponent rule

xln(35) = ln(8) → x = ln(8)/ln(35) → x = 3ln(2)/ln(35)

x = 0.58487

c) log_35 (8) = x

x = log_35 (8)

base form (Rewrite 8 in power)

x = log_35 (2^3)

log rule: log_a(x^b) = b*log_a(x)

log_35 (2^3) = 3log_35(2)

x = 3log_35(2)

x = 0.58487

The true number sentence is the third option:

6.8*1.3 = 8.84

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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The surface area of the square pyramid is 96 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 5 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = [tex]A+\frac{1}{2}Pl[/tex]

Where,

[tex]A=[/tex] area of the base = [tex]s^2=6^2=36[/tex] sq mi

[tex]P=[/tex] perimeter of the base = [tex]4(s)=4*6=24[/tex]  mi

[tex]l=[/tex] slant height = 5 mi

Plug in the values

[tex]SA=36+\frac{1}{2} *24*5[/tex]

[tex]SA=36+60[/tex]

[tex]SA=96[/tex]

The surface area(SA) of the square pyramid is 96 sq. mi

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Answer: 1344g

Step-by-step explanation:

if 1 ounce = 28 grams and we have 48 ounces,

multiply 48 by 28 to find the amount of grams

48×28 = 1344g

Answer:

95

Step-by-step explanation:

19 DVDs for 10 dollars and he has 50 dollars well 50 dollars is just 5 groups of 10 so just 19 x 5 = 95

Answer:
(x,y)
(-5,28)
(-1,4)
(0,-2)
(1,-8)

Step-by-step explanation:

You just have to plug in the values of x into the function rule to get all the values. Hope this helps!

The equation of the ellipse formed is x²/11.7² + y²/12² = 1

The formula for calculating the equation of an ellipse is expressed as;

x²/a² + y²/b² = 1

where

a and b are the minor an major axis respectively;

Given the following

b = 12

e = 0.5

Determine the value of a

e² = √b²-a²/b

0.5² = √12²-a²/12
12 * 0.25 = √144-a²

9 = 144 -  a²

a² = 136

a = 11.7

Substitute into the fomula

x²/11.7² + y²/12² = 1

Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1

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The Three quarters the product of two numbers x and y is 3/4 *x* y

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

In elementary algebra, those symbols  represent quantities without fixed values, known as variables.

As, quarters represent 1/4

So, three quarters= 3/4

Let the two number be x and y.

Then , 3 quarters of x and y product be,

=3/4*x*y

= 0.75*x*y

Hence, the expression of given statement is 3/4*x*y.

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Hi there,

So,

Simplify and solve for x.

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

Answer: both

Step-by-step explanation:

Answer:

D. 188/250

Step-by-step explanation:

Total number attending concert is 250

Total number of adults AND tickets purchased in advance:

48 + 100 + 40 = 188

Divide by 250:

[tex]\frac{188}{250}[/tex]

The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

               = 188/250

Hence the required probability is 188/250.

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Answer:

its 1/8

Step-by-step explanation:

he said 1/3 it does not match the other 2 numbers hope its right ;-; also helpfull

Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

Answer:

if 45% of a number ,n, is 225, then 74% of a number ,n,is 370

Answer:

6

Step-by-step explanation:

Median = (n+1) ÷ 2

Median = total frequency which is 55 + 1 = 56 ÷ 2 = 28th term.

So to find this term you add the frequencies until you get 28 or a number higher than 28.

3+1+10+15 = 29.

We got 29 when we got to the column of shoe size 6. So the Median is in shoe size 6.

[tex]\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y[/tex]

[tex]\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}[/tex]

[tex]\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}[/tex]

[tex]\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6[/tex]

Answer:

Step-by-step explanation:

Unknown value is q.

Solve for the unknown value:

Answer:

[tex]q=19\frac{1}{2}[/tex]

Step-by-step explanation:

Step 1:  Subtract 6 from both sides

[tex]6 + q = 25\frac{1}{2}[/tex]

[tex]6 -6 + q = 25\frac{1}{2}-6[/tex]

[tex]q = (25-6)\frac{1}{2}[/tex]

[tex]q=19\frac{1}{2}[/tex]

Answer:  [tex]q=19\frac{1}{2}[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

9 ft tall.

Step-by-step explanation:

The box that is 3 feet tall casts a 6 foot shadow, which is double the height. If we use inverse operations because we start with the shadow we will get 9 feet because 18 divided by 2 is nine.

This is a statistics problem involving Group Frequency Distribution Table. See the attached and the details below.

By dividing observations into intervals and tabulating the frequencies for each interval, data can be organized.  A grouped frequency table is the end product.

The intervals in this distribution are referred to as classes.

This is obtained by dividing the sum of the product of all mid points and their frequencies by the total number of observations.

That is Estimated Mean = (f * x)/n ------See the attached sheet.

⇒ 503/50

= 10.06

The median of the 50 observations = 28

This is arrived at by dividing the sum of 25th and the 26th number by 2.

That is (28 + 28)/28=28

This median falls in to the third class -  25-29. Hence, the median group is 25-29.

The estimated median value is computed as follows:

Estimated Median = L + (((n/2)-B)/G) x w

Where :

Inserting the values we have :

L = 25

n = 50

B = 0 + 1  = 1

G = 2

w = 5

Estimated Median = 25 + (((50/2)-1)/2 ) * 5

= 25 + (24/2) * 5

= 85

By observation, the modal group is 30-34. This is because it has the highest frequency of 4.

Hence, the Estimated Mode (EM) is arrived at using the formula:

EM = L + (fₙ-fₙ₋₁)/(fₙ-fₙ₋₁)  +  (fₙ-fₙ₊₁) x w

where:

Note that

L = 30

fn-1 = 2

fn = 4

fn+1 = 3

w = 5

Hence,

EM = 30 + (4-2)/((4-2) + (4-3)) x 5

= 30 + (2/(2+1)) x 5

= 30 + (2/3) x 5

EM =  33.33

In summary,

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Answer:

a = b + 6

b = 8

Step-by-step explanation:

a = b + 6

b = 8

The number of football helmets which are likely to be scratched from the 108 helmets is; 12.

It follows from the task content that of the initial shipment of 108 football helmets; four of them were scratched.

On this note, the number of helmets likely to be scratched from the new shipment of 108 helmets can be evaluated by ratios as;

x = (108 × 4)/36 = 12 scratched helmets.

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Answer:

x i think its the awnser

Step-by-step explanation:

Set the denominator in 1x−4 1 x - 4 equal to 0 to find where the expression is undefined. Add 4 to both sides of the equation. The domain is all values of x that make the expression defined.

Answer:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11

Answer:

the answer would be A, 78.52

Step-by-step explanation:

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

To find the volume of the composite figures, follow the steps listed below:,

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

[tex]V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3[/tex]

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

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area triangle:

(1.7m×2m)×2

= 1.7m²

-> 2 triangles so: 1.7m²×2= 3.4m²

area rectangles(walls):

2m×3m

= 6m²

-> 2 walls so: 6m²×2=12m²

area bottom rectangle:

3m×2m=6m²

-> total area:

6m²+12m²+3.4m²= 21.4m²