Zara has forgotten her 4-digit PIN code. She knows the first digit is a prime number and the 4 digits make a number divisible by 2. How many different sets of 4 digits could it be?

Answers

Answer 1

Answer:

2,500 different sets

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Let 4-digit PIN code be WXYZ

As first digit is a prime number

So, W = 1, 2, 3, 5, 7

n(W) = 5

X and Y are number from 0 - 9

So, n(X) = 10 & n(Y) = 10

Z makes the whole number divisible by 2.

So, Z must even number

So, Z = 0,2,4,6,8 or n(Z) = 5

We can calculate the number of different sets by using following formula,

n(W) × n(X) × n(Y) × n(Z)

By putting the value, we get

5 × 10 × 10 × 5 = 2,500


Related Questions

i don't understand this at all plz just help no explanation needed

Answers

Answer: 24

Step-by-step explanation:

i solved it and can give explanation if needed :)

Find 5 less than 17.

Answers

17 - 5 = 12 or 5 - 17 = -12
It’s 12, or 17-5= 12

The heights of all the newborns in a certain country are normally distributed,
with a mean of 19 inches and a standard deviation of 0.5 inches. A mother
just delivered a baby that is 18 inches long. Which of the following represents
the z-score of the baby's height? (Round your answer to two decimal places.)

Answers

Answer:

c

Step-by-step explanation:

Find the area of the triangle

Answers

Answer:

15 cm^2

Step-by-step explanation:

area = b x h / 2

6 x 5 / 2

6 x 5 = 30

30 / 2 = 15

5x6 divided by 1/2 =15 cm squared.

what number is 12% of 90

Answers

Answer:

10.8

Step-by-step explanation:

i used a calculator

10.8

12% = 10% + 1% + 1%

10 percent of a number is that number but with the decimal point 1 to the left. 10% of 90.0 is 9.0

1% of a number is that number but with the decimal point two to the left. 1% of 90.0 is 0.9

9 + 0.9 + 0.9 = 10.8

10.8 is 12% of 90

HELP SOMEONE PLEASEEE

Answers

Answer:

It is the first answer choice

Solve the following system.

y = -2x^2 + 3x - 1 and x + y = -1.

The solutions are
and

Answers

Given:

The equations of a system of equations are

[tex]y=-2x^2+3x-1[/tex]

[tex]x+y=-1[/tex]

To find:

The solution of the given system of equations.

Solution:

We have,

[tex]y=-2x^2+3x-1[/tex]           ...(i)

[tex]x+y=-1[/tex]                      ...(ii)

Using (i) and (ii), we get

[tex]x+(-2x^2+3x-1)=-1[/tex]

[tex]x-2x^2+3x-1+1=0[/tex]

[tex]-2x^2+4x=0[/tex]

Taking out the common factors.

[tex]2x(-x+2)=0[/tex]

Using zero product property,we get

[tex]2x=0[/tex] and [tex]-x+2=0[/tex]

[tex]x=0[/tex] and [tex]2=x[/tex]

For x=0, we have

[tex]0+y=-1[/tex]

[tex]y=-1[/tex]

For x=2, we have

[tex]2+y=-1[/tex]

[tex]y=-1-2[/tex]

[tex]y=-3[/tex]

Therefore, the two solutions of the given system of equations are (0,-1) and (2,-3).

I need help pleaseee

Answers

Answer:Median

Step-by-step explanation:

Answer:

the answer is range

Step-by-step explanation:

sorry if i am wrong

Apply the Pythagorean Theorem to find the distance between points A and C

A: 29 units
B: 40 units
C: 58 units
D: 116 units

Answers

Answer:

c 116

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

As a fraction in simplest terms, what would you multiply the first number by to get
the second?
First number: 25
Second number: 30
25
= 30
Submit Answer

Answers

1.2 I think that’s the answer because 30 divided by 25 is 1.2

The cafeteria is set up for a luncheon. There are 5 rows of tables. There are 5 tables in each row. Each table has a centerpiece with 5 vases. In each vase, there are 5 flowers. Which shows the total number of flowers in the cafeteria?

Answers

one twenty five 125 :)))

Can someone please help me out it would be so nice

Answers

Quadrant 1
Think of the quadrants like the letter c starting from the top right going to the bottom right

a regular nonagon would have 9 lines of symmetry
because it can be rotated 9 times and still look like the same shape

Answer:

Quadrant 1

Step-by-step explanation:

because there are 4 Quadrant. top left is quadrant 2, bottom left is quadrant 3, bottom right is quadrant 4

I need help How many more Onions dose katrina need to cut.

Answers

The answer is 2 1/3

noodlde noodle

Answer:

Step-by-step explanation:

here is another math thingy

Answers

Answer:

17 mi

Step-by-step explanation:

170/10=17

Answer:

17

Step-by-step explanation:

170 divided by 10 = 17

Double check: 17 x 10 = 170 (area).

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

Which trinomials are perfect square trinomials?
Select each correct answer.
O y2 + 18y + 81
O y2 + 20y + 100
O y2 + 25y + 200
Oy + 6y + 36

Answers

The correct answer is y2+20y+200
Answer is the following y2+25y+200

Figure 2 of a tile pattern has 8 tiles, while figure 5 has 14 tiles. If the tile pattern grows at a constant rate, how many tiles will figure 40 have?

Answers

Answer:

84 tiles

Step-by-step explanation:

Given that :

Figure 2 = 8 tiles

Figure 5 = 14 tiles

Growth rate :

(Figure 5 - figure 2)x= 14 - 8

3x = 6

x = 6/3

x = 2

(Figure 40 - figure 2) = 38 * x

Initial number of tiles + 38x

8 + 38(2)

8 + 76

= 84

Figure 40 = 84 tiles

The price ( p) of a school lunch is 8:50 The restaurant increases the price by 12% which statement is true for this situation

Answers

Answer:

B

Step-by-step explanation:

1 is 100% so increasing it by 12% means adding 0.12 to it

The diameter of the circle shown below is 12m. What is the area of the circle?

Answers

Answer:

Step-by-step explanation:

A = 1/4 pie d2

= 1/4(22/7)(12)2

= 1/4(22/7)144

= 113.1

Answer:

72π

Step-by-step explanation:

A = 2πr^2

2π (6)(6) = 72π

50 apples cost $25. How much would 75 apples cost?​

Answers

Answer:

$35

Step-by-step explanation:

Find the cost of 1 apple

$25/50 = 0.5

1 apple costs 50 cents/ 0.5 dollar

Multiply by 70 to find the cost of 70 apples

$0.5 x 70 apples = 35

$37.50. ...................

What is the area of a circle that has a radius of 10 inches? Use the formula π r 2

Answers

Answer:

314in²

Step-by-step explanation:

Given : Radius of the circle r=10 inches

A = 3.14 x 10²

A = 3.14 x 100

A = 314in²

The sum of the measures of angle A, angle B, and angle C is 180 degrees. The measure of angle C
is five times the measure of angle A. The measure of angle B is 40 degrees more than the
measure of angle A.

Write a system of equations that represents this situation

Answers

Answer:

A=20

Step-by-step explanation:

a+b+c=180

A+A+40+5A=180

7A+40=180

7A=140

/7

A=20

20+(20+40)+20*5=180

20+40=60

60+20=80

20*5-100

100+80=180

Answer:

A=20

Step-by-step explanation:

a+b+c=180

A+A+40+5A=180

7A=140

/7

A=20

20+(20+40)+20*5=180

20+40=60

60+20=80

20*5-100

100+80=180

Hope this helps! :)

what is the scale factor pls help

Answers

Answer:

im pretty sure its 2

Step-by-step explanation:

Answer:

4

Step-by-step explanaiton:

B is 4x bigger than A

Meteorology: The temperature is 8 degrees. It is expected to fall 5 degrees each hour for the next several hours. In how many hours will the temperature be-7 degrees​

Answers

Answer:

Step-by-step explanation:

8 - 5 = 3+7 = 10 Temperature

Elizabeth has a loyalty card good for a 10% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $37.60? Round to the nearest cent.

Answers

Answer:

$33.84

Step-by-step explanation:

Sale price = price - 10% = 90%

90% = 0.9

37.6(0.9) = $33.84

What is the inequality shown?
-6
-5
-4
-3
-2.
-1
0
1
3
1
4
5
6

Answers

Answer:

1 is inequality

replace the value were _2.

The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?

Answers

Answer: 89.4427

Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.

a=√120^2−80^2

a=√14400−6400

a=√8000

a=89.4427

I hope this is what you are looking for :)

Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The length of a guy's wire supporting a cell tower is 120 meters.

The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.

We know that the Pythagoras theorem.

[tex]\rm H^2 = P^2 + B^2[/tex]

We have

H = 120 m

B = 80 m

Then by the Pythagoras theorem, we have

[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]

Thus, the height of the tower is 89.44 m.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Evaluate the expression when y = 6 and x = 9
x+8y

Answers

Answer:

57

Step-by-step explanation:

9+8(6)

9+48

57

Answer:

57

Step-by-step explanation:

8*6=48

9+48=57

solve for 65+5x and please show work :)

Answers

Answer:

If it were supposed to be a factor, 15 ( 3 + x )

Step-by-step explanation:

5 ( 13 + x )

5 x 13 = 65

5 times x = 5x

So you'd add them both,

65 + 5x

I don't think you can get an exact answer for it.

Also in order for me to solve for x, if that's what you are trying to find. You need to give me a (y) to make it into a slope intercept form.

What is the next term in the sequence?
-3, -7/2, -4, -9/2.....

Answers

-3 , -7/2, -4, -9/2. = -3 , -7/2, -4, -9/2, -5 , And = -5

I really need the answer to this so I can pass

Answers

Answer:

b

Step-by-step explanation:

It’s b sorry if that’s wrong
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