What is the name of the property given below?
If a b= 0, then a = 0, b = 0, or both a = 0 and b= 0.
O A. Zero property
O B. Commutative property
O C. Zero product rule
D. Distributive property

Answer: 0.9961

Step-by-step explanation:

Given: Total choices to each question = 4

So, the probability that an answer is correct = [tex]\dfrac{1}{4}=0.25[/tex]

Total questions = 20

i.e. n= 20

Let x be the binomial variable that represents the number of correct answers.

So, the probability that the student has at least 10 correct answers.

[tex]B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)[/tex]

[tex]=0.9961[/tex]  [By using cumulative binomial table]

Hence, the probability that the student has at least 10 correct answers = 0.9961

Answer:

120.00

Step-by-step explanation:

Let x be the original price

The price is 10% off, or we pay 90% of the original price

.9 x

Then we have to pay 7% sales tax

.9x * 7%

.9x * .07

.063x is the tax

Add this to the .9x we have to pay for the jacket

.9x + .063x = .963x

This is the cost of the jacket

.963x = 115.56

Divide each side by.963

.963x/.963 = 115.56/.963

x =120.00

The cost of the jacket before discount and tax is 120.00

Answer:  D) 11/9

Step-by-step explanation:

LCM of 5, 9, 3, 8, 7 = 5 x 9 x 8 x 7 = 2520

Convert each fraction so the denominator = 2520

[tex]\dfrac{3}{5}\bigg(\dfrac{9\times 8 \times 7}{9\times 8 \times 7}\bigg)=\dfrac{1512}{2520}\\\\\\\dfrac{5}{9}\bigg(\dfrac{5\times 8 \times 7}{5\times 8 \times 7}\bigg)=\dfrac{1400}{2520}\\\\\\\dfrac{2}{3}\bigg(\dfrac{5\times 3\times 8 \times 7}{5\times 3\times 8 \times 7}\bigg)=\dfrac{1680}{2520}\\\\\\\dfrac{5}{8}\bigg(\dfrac{5\times 9 \times 7}{5\times 9 \times 7}\bigg)=\dfrac{1575}{2520}\\\\\\\dfrac{4}{7}\bigg(\dfrac{5\times 9 \times 8}{5\times 9 \times 8}\bigg)=\dfrac{1440}{2520}\\\\\\[/tex]

The smallest number is  [tex]\dfrac{1400}{2520}=\dfrac{5}{9}[/tex]  and the largest number is [tex]\dfrac{1680}{2520}=\dfrac{2}{3}[/tex]

[tex]\dfrac{5}{9}+\dfrac{2}{3}\\\\\\=\dfrac{5}{9}+\dfrac{2}{3}\bigg(\dfrac{3}{3}\bigg)\\\\\\=\dfrac{5+6}{9}\\\\\\=\large\boxed{\dfrac{11}{9}}[/tex]

Answer:

See Attached Image, Explanation in order to understand how to calculate is below.

Step-by-step explanation:

The Jar Contains 20 Coins.

The probability that it is a 1p coin is 1/5

The probability that it is a 2p coin is 1/2

The total value of the coins in the jar is 59 pence.

The Section in bold is vitally important in this question.

We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.

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

Calculate 1p:

1/5 of 20 = 4

We know the answer is 4 as we have 20 coins, you find 1/5 of 20.

Calculate 2p:

1/2 of 20 = 10

We know the answer is 10 as we have 20 coins, you find 1/2 of 20.

10 (2p Coins) + 4 (1p coins) = 14

20 coins - 14 (2p & 1p coins) = 6.

Now we only have 6 remaining coins for both 5p and 10p.

Calculate 5p:

We know we currently have a total of 24p if we subtract that from 59 we are left with 35.

So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.  

5x5 = 25p.

Therefore you need 5, 5p's

Calculate 10p:

With 1 pence left out of the 20, we need 1 10p.

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

Hope this helps, mark as brainilest if found useful.

There are 1 10p coin of each type in the jar.

Given that ;

The Jar Contains 20 Coins.

Probability that it is a 1p coin is 1/5

Probability that it is a 2p coin is 1/2

The total value of the coins in the jar is 59 pence.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.

Calculate 1p:

1/5 of 20 = 4

The answer is 4 as we have 20 coins, find 1/5 of 20.

Calculate 2p:

1/2 of 20 = 10

The answer is 10 as we have 20 coins, you find 1/2 of 20.

10 (2p Coins) + 4 (1p coins) = 14

20 coins - 14 (2p & 1p coins) = 6.

Now we only have 6 remaining coins for both 5p and 10p.

Now Calculate 5p:

We know that we have a total of 24p if we subtract that from 59 we are left with 35

5x5 = 25p.

Therefore we need 5, 5p's

Now Calculate 10p:

With 1 pence left out of the 20, we need 1 10p.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer: 4380

Step-by-step explanation:

Answer:

4380 days

Step-by-step explanation:

365 (# of days in a year) x 12 (years) = 4380 days in 12 years

Answer:

12 ??

Step-by-step explanation:

Answer:

12 cubic units

Step-by-step explanation:

1. Multiply 4 and 3

Answer:

1/16

Step-by-step explanation:

Total = 32 footballers

25 stretch regularly.

3 injure last year

now, 22 stretch regularly.

out of 32, 8 are injured. Therefore, 32-8=24 should stretch regularly but only

22 stretch regularly. Therefore, 24-22 =2 are not stretching regularly.

fraction of players are not stretching regularly = 2/32 =1/16

Answer:

The slope is -3/4

Step-by-step explanation:

We need two points to find the slope

We have one point at (0,5) and we have one point at (4,2)

We can use the slope formula

m = (y2-y2)/(x2-x1)

   = (2-5)/( 4-0)

   = -3/4

The slope is -3/4

Answer:

-3/4

Step-by-step explanation:

Get the coordinates of 2 points on the line:

Use formula to find the slope:

So the slope is -3/4

Answer: greaterright

Step-by-step explanation:

Answer:

Y= 8*x

Step-by-step explanation:

You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x

a is the slope

You can easily find it by notice that the image of 1 is 8

So a = 8

Then y= 8*x

Answer:

[tex]y=8x[/tex]

Step-by-step explanation:

Well drawing the line further then we can tell the y intercept is 0.

So we have to find the SLOPE using the following formula

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

So we need two points on the line, we can use the following

(1,8) and (2,16)

So 16 is y2 and 8 is y1 so 16-8 is 8.

2-1 is 1.

So the slope is 8x.

Do the equation is [tex]y=8x[/tex]

We don’t have to put the y intercept because it is 0.

Answer:

a) DE is 12 cm

b) CE is 2 cm

Step-by-step explanation:

In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].

[tex]\angle A[/tex] is common.

BC || DE

[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]

[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.

All three angles are equal hence, the triangles:

[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].

Ratio of corresponding sides of two similar triangles are always equal.

[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]

[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]

So, the answers are:

a) DE is 12 cm

b) CE is 2 cm

Answer:

120

Step-by-step explanation:

We can do 90*(100/60) to figure out which number is 90 when it is only 60 percent.  This means the original number was 150.  Now we just do 150/5 which equals 30.  Then we can multiply 30*4 = 120.

Answer:

120

Step-by-step explanation:

60% of a number is 90.

Let the number be x.

60% of x = 90

0.6x = 90

x = 90/0.6

x = 150

The number is 150.

4/5 of 150 =

= 4/5 * 150

= 120

Answer:

6m^2 + 3mn - 15m.

Step-by-step explanation:

3m(2m + n - 5)

= (3m * 2m) + (3m * n) - (3m * 5)

= 6m^2 + 3mn - 15m.

Hope this helps!

Answer:

[tex]6m^2+3mn-15m[/tex]

Step-by-step explanation:

[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

Step-by-step explanation:

The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)

Answer: 4:3.

Step-by-step explanation:

Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]

As per given,

[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]

Hence, P partition the directed line segment from M to N in 4:3.

Answer:

the answer is D i believe

Step-by-step explanation:

Answer:

  8 pounds

Step-by-step explanation:

Let a, b, c represent the number of pounds of nuts in the first, second, and third boxes, respectively. We can write the equations ...

  a = b +c -6 . . . . . first box has 6# fewer than the total of the others

  b = a +c -10 . . . . second box has 10# fewer than the total of the others

Substituting the second equation into the first, we find ...

  a = (a +c -10) +c -6

  0 = 2c -16 . . . . subtract a

  0 = c -8 . . . . . . divide by 2

  8 = c . . . . . . . . . add 8

There are 8 pounds of nuts in the third box.

Answer:

D. A discrete data set because there are a finite number of possible values

Step-by-step explanation:

If in a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data set because there are a finite number of possible values.

A discrete data is a data set in which the number of possible values are either finite or countable.

For continuous data, there are infinitely many possible values in the data set and those values are uncountable, meaning they cannot be counted.

In this scenario, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data because the values (725 and 368) are finite and can be counted.

Answer: The tank which has 3 m side.

Step-by-step explanation: A cube is a form that has equal sides. To calculate the volume of it, multiply all three sides:

V = length*width*height

Since they are all the same, volume will be:

V = s³

One tank has a 3 m side, so its volume is:

V = 3³

V = 27 m³

The other has half of the first one side, then s = [tex]\frac{3}{2}[/tex] and volume will be:

V = [tex](\frac{3}{2})^{3}[/tex]

V = [tex]\frac{27}{8}[/tex] m³

As you can see, the volume of the second tank is [tex]\frac{1}{8}[/tex] smaller than the first one. Therefore, the tank which has 3 m side can store more water than the  tank with side measuring half of the first.

Answer:

Solution,

Circumference of circular tank = 44m

Radius = ?

Diameter= ?

Now,

Circumference of a circle = 44

[tex]or \: 2\pi \: r \: = 44[/tex]

[tex]or \: 2 \times 3.14 \times r = 44[/tex]

[tex]or \: 6.28r = 44[/tex]

[tex]or \: r = \frac{44}{6.28} [/tex]

[tex]r = 7.0 \: m[/tex]

Again,

Diameter = 2 radius

= 2 * 7.0

= 14 m

Hope this helps..

Good luck on your assignment..

Answer:

2×3.14×r=44

6.28r=44

r=44/6.28

r=7.0

d=r

2×7.0

14

Answer:

Hello There!

~~~~~~~~~~~

(2x + y) (2x - y) =

[tex]4x^{2} - y^{2}[/tex]

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

Step-by-step explanation:

there is  formula (a+b)(a-b)=a^2-b^2

(2x+y)(2x-y)=(2x)^2-y^2=4x^2-y^2

Answer:

131°.

Step-by-step explanation:

its equal to that other angle i forgot how but i learned this 1 week ago

Answer:

i think the answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is

84(2) = 168.

Answer:

Exponential growth

Step-by-step explanation:

This is not a negative so it is growing.

Hope this helps!

Answer:

:are you the nice brianna??????????????

Step-by-step explanation

Answer:

A number is larger than 5 --> x > 5

A number is not less than 5 --> x ≥ 5

A number is at most 5 --> x ≤ 5

A number is below 5 --> x < 5

Step-by-step explanation:

Explaining each choice:

"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.

"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.

"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.

"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.

Answer: 3 < t < 4

Step-by-step explanation:

Given the following information :

Initial Velocity of projectile = 112 ft/s

Height (h) above the ground after t seconds :

h = –16t2 + 112t

To calculate the time when h exceeds 192 Feets (h >192)

That is ;

-16t^2 + 112t = > 192

-16t^2 + 112t - 192 = 0

Divide through by - 16

t^2 - 7t + 12 = 0

Factorizing

t^2 - 3t - 4t + 12 =0

t(t - 3) - 4(t - 3) = 0

(t-3) = 0 or (t-4) =0

t = 3 or t=4

Therefore, t exist between 3 and 4 for height in excess of 192ft

–16(3)^2 + 112(3) = 192 feets

–16(4)^2 + 112(4) = 192 feets

3 < t < 4