Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 5.
How many different sets of 4 digits could it be?

Answers

Answer 1
800 different sets of digits


Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
Answer 2

Answer:

800 different 4 digit passwords can be the pin

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5.

These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have

10 digits permuted in 1 way,  and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way,

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is

4 × 10 × 10 × 2 = 800 different sets of digits


Related Questions

A caterer charges a flat fee of $345 in addition
to $45 per person to serve food at a family
reunion.
Write an equation to represent the total cost of
hiring the caterer and the number of people
attending the family reunion?

Answers

Answer: y = 45x + 345

Step-by-step explanation:

So y is the total cost of hiring the caterer and the number of people attending the family reunion.x represents how many people attend. It is $45 per person, so it would be 45 times the number of people attending, or 45x.345 is the extra amount that is added on and must be paid.So...the equation is y = 45x + 345.

Hope this helps!!! :)

A coin is flipped 200 times. The table shows the frequency of each event.


Outcome Frequency
Heads 96
Tails 104

Determine the experimental probability of landing on tails.
50%
52%
96%
104%

Answers

Answer:

52%

Step-by-step explanation:

The experimental probability of landing on tails is 52%. This is calculated by dividing the number of times tails was flipped (104) by the total number of flips (200). The probability is expressed as a percentage, so you would multiply the decimal result by 100%.

Here's the calculation:

104 / 200 = 0.52

0.52 x 100% = 52%

So the experimental probability of landing on tails is 52%.

Answer: B 52%

Step-by-step explanation:

Sabrina decided to try bungee jumping at a local business, which had her sign a waiver before participating in a jump. If Sabrina breaks her leg, why will she not be able to sue the business for negligence?

Select one: a. The company has a business license b. The company followed industry standard safety practices c. Common law fellow servant rule d. Assumption of risk

Answers

Sabrina will not be able to sue the business for negligence because of the concept of assumption of risk.

The correct answer is d. Assumption of risk. When participating in activities such as bungee jumping, individuals are often required to sign a waiver that acknowledges the inherent risks involved in the activity. By signing the waiver, Sabrina would have agreed to assume the risks associated with bungee jumping, including the possibility of injury. This concept of assumption of risk means that Sabrina voluntarily participated in the activity, understanding and accepting the potential dangers. Therefore, if she breaks her leg during the jump, she cannot sue the business for negligence because she willingly assumed the risks involved.

The waiver serves as a legal document that protects the business from liability claims in cases where participants suffer injuries or accidents while engaging in inherently risky activities. By signing the waiver, Sabrina acknowledged that she understood the potential risks and agreed to release the business from any liability resulting from her participation. This legal principle is based on the idea that individuals should take personal responsibility for their decisions to engage in risky activities and should not hold others liable for the inherent dangers that they voluntarily chose to expose themselves to. Consequently, Sabrina's signed waiver would likely prevent her from successfully suing the business for negligence if she were to break her leg during the bungee jump.

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Find x special right triangle

Find x special right triangle

Answers

Answer:

This is a 45 45 90 triangle, so v=\(\sqrt{2}\). The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * \(\sqrt{2}\).

Therefore, u=2, because \(\sqrt{2}\)*\(\sqrt{2}\)=2. So, your answer is A, 2.

Step-by-step explanation:

We know, sum of all angles of a triangle is 180°.So, 180° - (90+45)° = 45°So, the angle which is not given is 45°.The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.Therefore, v = √2.\( {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2\)

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

c) Shin thinks of a number. She multiplies it bye 5 then subtract 7. The answer is he

same as 3 times a number plus 11. What number did shin think of?

Answers

Answer:

9

Step-by-step explanation:

let the number be y

5×y - 7 = 3×y + 11

5y-7 = 3y+11

collect like terms

5y-3y = 11+7

2y = 18

y = 18/2

y = 9

If the b1 value in linear equation is negative, this means the Y intercept is positive. True or False

Answers

False. The statement is incorrect. The sign of the b1 value in a linear equation does not determine the positivity or negativity of the y-intercept.

In a linear equation of the form y = b0 + b1x + e, where b0 is the y-intercept and b1 is the coefficient of the x variable, the sign of the b1 value is related to the slope of the line. A negative b1 value indicates a negative slope, meaning the line is decreasing as x increases. However, it does not provide information about the positivity or negativity of the y-intercept. The y-intercept (b0) represents the value of y when x is equal to zero. Its sign is independent of the b1 value. The y-intercept can be positive, negative, or zero, depending on the specific values of b0 and the relationship between x and y. For example, consider the linear equation y = 2 - 3x. Here, the b1 value is -3, indicating a negative slope. However, the y-intercept is 2, which is positive. This means that when x is zero, the value of y is 2.

Similarly, if we have y = -4 + 2x, the b1 value is positive (2), representing a positive slope. However, the y-intercept is -4, which is negative. In this case, when x is zero, y is -4. Therefore, the sign of the b1 value does not determine the positivity or negativity of the y-intercept. The y-intercept is determined by the specific value of b0 in the linear equation.

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Abby graphed the function f(x)=-13x^2 by plotting the point (-2,52). Explain the error Abby made in her graph.

Answers

The error is that ( − 2 , 52 ) (-2,52) (−2,52) is not on the graph of f ( x ) = − 13 x 2 f(x)=-13x^2 f(x)=−13x2.

What is a Graph Error?

The uncertainty or change of the corresponding coordinate of the point is shown by an error bar, which is a line drawn through a point on a graph that is parallel to one of the axes.

A graph is a visual representation of data that can be used to display values. The specific type of graph used to display values will depend on the type of data being represented and the purpose of the graph and thus some errors can be made.

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Abby graphed the function f(x)=-13x^2 by plotting the point (-2,52). Explain the error Abby made in her

Louise printed 40 standard photos and 12 wallet photos for a total of $6.96. Marcia printed 25 standard photos and 30 wallet photos for a total of $6.15.
Which system of equations can be used to find s, the cost in dollars of each standard photo, and w, the cost in dollars of each wallet photo?

Answers

Each normal photo costs $0.15, while each wallet photo is only $0.08 in terms of money.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

Let x be the cost of standard photos and y be the cost of wallet photo.

40x+12y=6.96        ...........(1)

25x+30y=6.15        ..........(2)

Multiplying (1) by 5 and (2) by 2,

200x+60y=34.8

50x+60y=12.3

150x=22.5

x=$0.15

200*0.15+60y=34.8

30+60y=34.8

60y=4.8

y=$0.08

The cost in dollars of each standard photo is $0.15 and the cost in dollars of each wallet photo is $0.08.

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Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about

Answers

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about  26 feet tall.

I hope this helps!

2-2 and its reciprocal

2-2 and its reciprocal

Answers

Answer:

2^-2= 4^-1 =1\4

1\4=4

so I hope you get to it

Evaluate: (4 + 6 ⋅ 3) + 3


66


16


25


33

Answers

Answer:

25

Step-by-step explanation:

$$$

bxhg hdbhxhfnr bshjbduokkbev indghkdnodgcf

Answer:

25 (third option)

Step-by-step explanation:

(4 + 6 × 3) + 3

(4 + 18) + 3

22 + 3

= 25

can i get help on this question
x+4= -9 1/4

Answers

Answer:
x=-25/4
Step-by-step explanation:

First your make both sides clean,

x+4=-9/4

Then you minus 4 on both sides to balance the equation:

x+4-4=(-9/4)-4
x= -25/4

There are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday.
Which expression represents the total number of miles that will be run by all the members in the group?

Answers

Answer:

5 times 2 plus 3 plus 2 times 4

Step-by-step explanation:

5×[4×(2+3+2)] is the expression that represents the total number of miles that will be run by all the members of the group.

Given that, there are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday.

We need to find which expression represents the total number of miles that will be run by all the members of the group.

What is the expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Distance=2+3+2

So, 5×[4×(2+3+2)]

Therefore, 5×[4×(2+3+2)] is the expression that represents the total number of miles that will be run by all the members of the group.

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Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?

Answers

Answer:

Anna spent $51 in all.

Step-by-step explanation:

36+15=51

Answer:

$51

Step-by-step explanation:

Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.

price of backpack+price of lunchbox

The backpack cost $36 and the lunchbox cost $15

$36+$15

Add 36 and 14

$51

Anna spent $51 in total

What critical value of " should be used for a 95% confidence interval for the population mean based on a random sample of 30 observations? Find the t-table here. 1* = 2.042 * = 2.045 " = 2.147 * = 2.150

Answers

The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

Find the critical value?

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

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A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?

Answers

Answer:

base: 1/4 * 12^2 * √3 = 36√3

each face: 1/2 * 12 * 8 = 48

Now finish it off

Step-by-step explanations:

A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find, to the nearest degree, the measure of the acute angle that the wire makes with the ground.

Answers

The measure of the acute angle that the wire makes with the ground is 63.27°.

The situation forms a right angle triangle.

How to find the angle of a right triangle?

The length of the wire is the hypotenuse of the right triangle.

The distance from the foot of the pole is the adjacent side of the right triangle.

Therefore,

cos ∅ = adjacent / hypotenuse

cos ∅ = 18 / 40

cos ∅ = 0.45

∅ = cos⁻¹ 0.45

∅ = 63.2563160496

∅ = 63.27°

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Write this number in standard notation,
4.702 x 10-4

Answers

Answer:

0.0004702

Step-by-step explanation:

Answer:

0.0004702

Step-by-step explanation:

got it right

just fill out why it is 3

just fill out why it is 3

Answers

Answer:hi

Step-by-step explanation:hi

Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!

Hopefully, this helps! :D

Ask your question below.

Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction

Answers

Answer:

A

Step-by-step explanation:

The equivalent expression of the complex fraction is \(\frac {2y - 4x}{5x + 3y}\)

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when compared

The expression is given as:

\((\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)\)

Take LCM

\((\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})\)

Express the quotient as products

\((\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})\)

Evaluate the product

\(\frac {2y - 4x}{5x + 3y}\)

Hence, the equivalent expression of the complex fraction is \(\frac {2y - 4x}{5x + 3y}\)

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how much volume in one grain of rice

Answers

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

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Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =

Find sin A.a.4sin A = -3sin Ab.4sin A =d.sin A =

Answers

Answer:

4/5

sin A = perpendicular/hypotenuse

sinA = 28/35

sinA = 4/5

hope it helps

option B

Answer:

B. Sin A = \(\frac{4}{5}\)

Step-by-step explanation:

Sin A = opposite / hypotenuse

Sin A = 28 / 35

Divide both by 7

28 / 7 = 4

35 / 7 = 5

\(\frac{28}{35} = \frac{4}{5}\)

Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis.

Answers

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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−2x+5y=−17 3x-10y=283x−10y=28

Answers

Answer:

x = 6

y = -1

Step-by-step explanation:

-2x + 5y = -17 ------ equation 1

3x- 10y = 28 ------- equation 2

equation 1× 2

-4x + 10y = -34 ------- equation 3

equation 2 + equation 3

-x = -6

x = 6

x = 6 substitute for equation 1

-12 + 5y = -17

5y = -5

y = -1

convert 900 cm/hour into cm per min

convert 900 cm/hour into cm per min

Answers

Answer: 15 cm/min

Step-by-step explanation:

900÷60

60=hour

1 hour is 60 minutes.

900 cm/hr = 900 cm per 60 minutes.

To find cm per minute, divide total cm by 60 minutes:

900 / 60 = 15 cm/min.

a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future value of the investment in dollars after t years. f(t)

Answers

The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

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A pair of dice is rolled. What is the probability of getting a sum of 6?

Answers

Answer:

1/6

Step-by-step explanation:

Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.

Answer:

5/36

Step-by-step explanation:

I got it right

Evaluate: 2x + 5x - 11 = -46

Answers

Answer:

x=-5

Step-by-step explanation:

Combine like terms: 7x-11=-46

Add 11 to -46: -35

Divide: 7x/-35

ANSWER: x=-5

What is the value of x?

Enter your answer in the box. x = °

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

x=80

Step-by-step explanation:

my god this should be easy and I thought I was a bit slow

Which inequalities would have an open circle when graphed? Check all that apply.

Answers

can we see the answer choices?
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