The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

Answer: B) 5

Step-by-step explanation:

Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive

-18-(-18)

-18+18

0

There is no distance away from the x value so the distance we need to count is from the y value

-1-(-6)

-1+6

5

The distance between the two points is 5.

Answer:

The answer would be 3.33.

Step-by-step explanation:

Simplifying 12x + 5 = 3x + 35

Reorder the terms: 5 + 12x = 3x + 35

Reorder the terms: 5 + 12x = 35 + 3x

Solving 5 + 12x = 35 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x

Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x

Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35

Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5

Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5

Combine like terms: 35 + -5 = 30 9x = 30

Divide each side by '9'. x = 3.333333333

Simplifying x = 3.333333333

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

100 + (5X) = -2X

Step-by-step explanation:

Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:

100 + (5X) = -2X

So, for example, if the price were increased by $ 15, the equation would apply as follows:

15/5 = 3

100 + (5x3) = -2 x 3

100 + 15 = -6

115 = -6

Answer:

504/8=63/6=10.5

10 rooms per floor with 3 leftover

Answer:

1. 0.028 km

2. 3.899 L

3. 79,000 g

Answer:

the answer is 220

Step-by-step explanation:

the formula for surface area of a rectangular prism is A=2(wl+hl+hw)

w = width

h= height

l = length

and when you have those lengths, you have to substitute.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Given:

The expression is:

[tex](5^2)(7^2)(3^2)[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex](5^2)(7^2)(3^2)[/tex]

On simplification, we get

[tex](5^2)(7^2)(3^2)=(25)(49)(9)[/tex]

[tex](5^2)(7^2)(3^2)=11025[/tex]

Therefore, the value of the given expression is 11025.

Answer:

976 ÷ 8 =

8 groups of n = 976

n groups of 8 = 976

122

____

8 | 976

- 8

____

176

- 16

_____

160

- 160

______

0

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

I'm  so sorry I did not mean to answer! Ignore my response

Step-by-step explanation:

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

Answer:

172.8 m^3

Step-by-step explanation:

Volume for triangualr prism formula:

1/2 • length • width • height

Use formula with given dimensions:

1/2 • 7.2 m • 10 m • 4.8 m = 172.8

Volume is measured in cubic meters

(meters in this situation)

FINAL ANSWER:

172.8 cubic meters

Hope this helps!

The volume of the given prism is 172.8 cubic centimeters.

The given prism is a triangular prism with base length of 7.2m.

Height of 4.8m

Length of 10m.

The formula for volume of prism is V=1/2 bhl

Plug in the values of length , breadth and height:

V=(1/2) × 10 × 4.8 × 7.2

V=5×4.8×7.2

V=172.8 cubic centimeters.

Hence, the volume of the given prism is 172.8 cubic centimeters.

To learn more on Three dimensional figure click:

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Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

Answer:60

Step-by-step explanation:

300 of 20% is 60

The number of qualified customers for the discount will be 60.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

It is given that half of all the customers you speak to will ask about any upcoming pricing discounts or promotions. Of those who do ask, only 20% qualify for the discount. So that means if I speak to 300 customers.

The number of qualified customers will be calculated as below:-

The qualified customers are 20% of 300.

Number = 300 x (20/100)

Number = 300 x 0.2

Multiply the number 330 with 0.2 to get the final value.

Number = 60

Therefore, the number of qualified customers for the discount will be 60.

To know more about percentages follow

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Solution :

Given :

The sample mean = 21.3

Standard deviation = 3.2

The null hypothesis is : [tex]H_0: \mu =20[/tex]

The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]

This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.

Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]

The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]

The t-statistic is computed as follows :

[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]

[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]

 = 1.285

Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that  [tex]\text{the null hypothesis is not rejected.}[/tex]

The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]

Conclusion

Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.

Answer:

Collage = Bad lol

Step-by-step explanation:

Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

Answer:

9 units^3

Step-by-step explanation:

V = l*w*h

   = 1 1/2 * 4 * 1 1/2

Change to improper fractions

  = 3/2 * 4 * 3/2

   = 36/4

   = 9 units^3

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

Answer:

C 2.0

Step-by-step explanation:

x-1.4 =0.6

add 1.4 to both sides

x=2.0

the answer is 11 because 2 multiple are increasing

Answer:

An arithmetic sequence, The difference in any term with the previous term is same.

Step-by-step explanation:

See, ah this is a little bit easy question so let’s start solving it -:

Firstly, um see the difference between the given numbers-: 1, 3, 5, 7,9 _?

Between 1 and 3 the difference is 2

Between 5 and 3 the difference is 2

Between 7 and 5 the difference is 2

Between 9 and 7 the difference is 2

So, here we see the difference among all is same. So. it is an arithmetic sequence.

So, let's   find the fourth term. We can either do it by arithmetic progression or  by simply adding 2 to 7. I.ll first show you by doing A.P. then we will check the answer by adding 2 to 7.

So, as we know the basic formula of A.P. which is -: a1+(n-1)d

Here, a1=1, n=5, d=2

Let’s put the values in the formula-: 1+(5–1)2 = 1+(4)2 = 1+8 = 9

Now let’s check it. As the difference between each digit is same so definately the difference between 9 and the unknown number is 2.

Then, the unknown no. is 9+2 = 11

Hence, the answer is 11

9514 1404 393

Answer:

   A, D

Step-by-step explanation:

The horizontal distance between the points is the difference of their x-coordinates.

A) 5.5 -(-6.5) = 12.0 . . . greater than 11

B) 4.7 -(-3.3) = 8.0

C) 11/3 -(-10/3) = 21/3 = 7

D) 2 -(-12) = 14 . . . greater than 11

Answer: 9/2500

Step-by-step explanation:

We start with turning it into a fraction:

0.36/100

Then, we turn every number into a whole number by multiplying by whatever the last decimal place is called (hundreth= x100)

36/10000

Lastly, we simplify as much as we can by finding the least common denominator. In this case, the smallest whole number both 36 and 10000 can be divided by is 4:

(36/4)/(10000/4)

= 9/25000

Step-by-step explanation:

everything can be found in the picture

Answer:

Answer: (C)A picnic table is on sale for 60 percent off.

Step-by-step explanation:

well someone copied me but okay :[