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
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?
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%
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
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
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:
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?
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
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.
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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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?
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
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
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
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
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?
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?
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
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?
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.
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
Answer:
0.0004702
Step-by-step explanation:
Answer:
0.0004702
Step-by-step explanation:
got it right
just fill out why it is 3
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
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
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 =
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.
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
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
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)
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?
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
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 = °
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.