Unfortunately, There is no answers in this question. Please re-post the question.
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
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what is the probability of 45 heads in 100 tosses of a coin given the probability of heads is 50%? binomial distribution
The probability of 45 heads in 100 tosses of a coin given the probability of heads is 50% is 7.1%.
Coin Toss Probability CalculationThe binomial probability formula is used to calculate the probability of getting a certain number of heads (or success) in a certain number of coin tosses (or trials) when the probability of getting a head (or success) in each individual coin toss is known. The formula is:
P(x) = (n choose x) * (pˣ) * (1-p)^(n-x)
Where,
P(x) is the probability of getting x heads (or success) in n coin tosses (or trials)
n is the number of coin tosses
x is the number of heads (or success)
p is the probability of getting a head (or success) in a single coin toss
1-p is the probability of getting a tail (or failure) in a single coin toss
(n choose x) is the binomial coefficient, which is the number of ways to choose x heads (or success) from n coin tosses (or trials)
In this case, the probability of getting 45 heads in 100 tosses of a coin with a probability of heads of 50% can be calculated using the formula: (100 choose 45) * (0.5⁴⁵) * (0.5⁵⁵) which is approximately 0.071, or 7.1%.
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use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
PLS HELP
What is the slope of the linear function
y=3/2x +3
Is it
3
-3
3/2
-3/2
In the morning, Steve drives 4.7 km to his job at the bookstore. After work, he drives 6.3 km to the college where he takes classes. Then he drives 2.6km back home. Which is the best estimate of the distance Steve travels each day? CollegeF 8 kilometersG 10 kilometersH 12 kilometersJ 14 kilometers
ANSWER
14 kilometres
EXPLANATION
Steve drives the following distances everyday:
=> 4.7 km to his job
=> 6.3 km to college
=> 2.6 km back home
To find the best estimate that Steve travels each day, we will round up each term to the nearest whole number then add them up:
4.7 km rounds up to 5 km (7 is greater than 4)
6.3 km rounds down to 6 km (3 is less than 4)
2.6 km rounds up to 3 km
Now, to add them:
(5 + 6 + 3) km
= 14 km
Therefore, the best estimate of the distance that Steve travels every day is 14 kilometres
why
does switching the type of test on the same data bring the p-value
to a lower value?
When switching from a two-tailed test to a one-tailed test, the area under the curve of the probability distribution shifts to one side, resulting in a lower p-value.
What is a P-Value?
P-value is the probability of obtaining a test statistic at least as extreme as the one observed, assuming that the null hypothesis is true. It is used in hypothesis testing to determine whether or not the null hypothesis should be rejected.
When switching the type of test on the same data, it can bring the p-value to a lower value because a one-tailed test is more sensitive than a two-tailed test.
Lower value: A lower value usually refers to a value that is less than the median or mean of a given data set.
For example, if a dataset has a mean of 10, a value less than 10 would be considered a lower value.
Why does switching the type of test on the same data bring the p-value to a lower value?
Switching the type of test on the same data brings the p-value to a lower value because a one-tailed test is more sensitive than a two-tailed test. A one-tailed test tests for a directional hypothesis (such as greater than or less than), while a two-tailed test tests for a non-directional hypothesis.
The reason for this is that a two-tailed test divides the probability of observing a result equally between the two tails, whereas a one-tailed test only considers one tail.
Therefore, when switching from a two-tailed test to a one-tailed test, the area under the curve of the probability distribution shifts to one side, resulting in a lower p-value.
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Write an interpretation of the statement f(5)=25
Answer:
The answer is 5xf =25 f=5
Step-by-step explanation:
25 ÷ 5 = 5
Jessica has $300 saved in an account. Tai has
$400 saved in an account. Jessica starts
saving $20 per month, while Tai saves $12
per month. At what time will they have the
same amount?
Answer:
12.5 months
Step-by-step explanation:
Let x be the number of months
Let f(n) be the money saved by person n
we know that f(J)=300+20m
we also know that f(T)=400+12m
we want f(J)=f(T) so we have 300+20m=400+12m. solving we get 8m=100 and so m=12.5. Thus in 12.5 months they will have the same amount.
which number produces an irrational answer when added to 3/4
Answer
pi.
Step-by-step explanation:
If you add pi (3.14) to 3/4, you will get an irrational answer.
the choice on an appropriate graphical display will depend on three things: the number of variables in the data set, the data type, and the purpose of the graphical display. for each of the following graphs, determine the variable number, the type of data, and the purpose of the display.
Sure, I can help you with that! For the first graph, it's difficult to provide an answer without seeing the actual graph, but generally speaking, we need to determine the variable number, the type of data, and the purpose of the display. The variable number refers to the number of variables being represented in the graph, and the type of data refers to whether the data is qualitative or quantitative. The purpose of the display refers to what we're trying to communicate or show with the graph.
For example, if we were looking at a scatter plot, we could say that there are two variables being represented (x and y), the data is quantitative, and the purpose of the display is to show the relationship between the two variables.
Similarly, if we were looking at a bar graph, we could say that there is one variable being represented (the categories on the x-axis), the data is qualitative, and the purpose of the display is to compare the values of different categories.
In general, the choice of an appropriate graphical display will depend on the three factors mentioned earlier, so it's important to consider these factors when creating or interpreting a graph.
A company manufactures and sells shirts the daily profit. The company makes depends on how many shirts they sell the profit in dollars when the company sells X shirts can be found using the function F (X)equals 6X -90 find the interpret the given function values and determine inappropriate domain for the function f(-9)
profit of
of the problem.
=
f(27)
profit of
of the problem.
=
f(17.5) =
profit of
of the problem.
meaning if the company sells |
dollars. This interpretation
meaning if the company sells
dollars. This interpretation
, meaning if the company sells
dollars. This interpretation
shirts, they would make a
in the context
shirts, they would make a
in the context
shirts, they would make a
in the context
The increase in earnings brought on by producing one extra unit is known as the marginal profit. The proper domain for functions is the integers (0, 1, 2, ...).
Explain about the Marginal profit?By dividing marginal revenue by marginal cost, one can compute marginal profit. Because it can help determine whether to raise or lower the level of output, marginal profit analysis is useful.
Any quantity of output below the one at which marginal profit equals zero has a positive marginal profit, meaning that profit can be increased by producing more of that quantity. Conversely, any quantity of output above the one at which marginal profit equals zero has a negative marginal profit, meaning that profit can be increased by producing less of that quantity.
A company that manufactures and sells shirts. Daily profit of...
A company that manufactures and sells shirts. The daily profit the company makes depends on the number of shirts sold. The profit in dollars if a company sells x shirts can be found using the function f(x)=7x-40. Locates and interprets given function values to determine the appropriate domain for the function.
f(-10) = -110, which means that if the company sells -10 shirts, it will make a profit of -$110. This interpretation makes no sense in the context of the problem.
f(10) = 26.5, so if the company sells 9.5 of his shirts, he makes a profit of $26.5. This interpretation makes no sense in the context of the problem
f(9.5) = 26.5, so if the company sells 9.5 shirts, it makes a profit of $26.5. This interpretation makes no sense in the context of the problem.
Therefore, based on the above observations, it is clear that the proper domain for functions is the integers (0, 1, 2, ...).
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forces created by snow are typically termed linearly distributed loads. True or false?
False, forces created by snow are not typically termed linearly distributed loads.
Forces created by snow are generally referred to as uniformly distributed loads, not linearly distributed loads. A uniformly distributed load applies a constant force per unit length or area over a specific region. In the case of snow, when it covers a surface or exerts pressure on a structure, the weight of the snow is distributed evenly across the surface, resulting in a uniform load.
This means that the force exerted by the snow is relatively consistent over the entire area it covers. On the other hand, a linearly distributed load would vary linearly along the length or area, meaning the force would change in a linear fashion. Snow loads are more accurately described as uniformly distributed loads due to their consistent distribution of force across a given surface or structure.
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Explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.A)The sequence is a function because the domain is unrestricted.B)The sequence is a function because more than one rule can represent it.C)The sequence is a function because each rule produces one output for each input.D)The sequence is a function because each rule produces multiple outputs for each input.
The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
What is a sequence?A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.
Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.
Hence, the sequence represents a linear function.
Since, the sequence is a linear function, every input will produce an output according to the rule.
Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
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You make a table to use as a quick reference guide . y = - 180 - 9(x) . Use the table tool to answer the question:
What is the y- value when x equals -15?
The value of y when x equals -15 in the equation (y = - 180 - 9(x)) is -45.
Copy and complete the table for x and y?In a given function y = f(x) = bx - c, the value of y can be determined, if the value of x is known. All we have to do is to substitute the known value for x into the equation in order to determine the value of y.
From the given information:
y = - 180 - 9(x)
So, when x = -15y = -180 - 9(-15)
y = -180 + 135
y = -45
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I am literally so sorry but I DON'T UNDERSTAND THIS IN MY MATH CLASS! PLEASE HELP
This is the ACTUAL math problem: -2.3f + 0.4f - 16 - 9
HOW AM I SUPPOSED TO DO THIS
Answer:
− 1.9 f − 25
Step-by-step explanation:
You have to simplify the terms -2.3f + 0.4f and 16 - 9
hope this helped :))
What is the constant term in the expression 8xy + 9x2 y − 5x − 2?
−5
−2
8
9
Answer:
-2
Step-by-step explanation:
In the expression \(8xy + 9x^2y -5x -2\)
\(x\) and \(y\) are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant termTherefore, the constant term is -2
Answer: -2 is the constant term in the expression 8xy + 9x2 y − 5x − 2
Step-by-step explanation:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
the expression 8xy + 9x2 y − 5x − 2
now, we know that,
constant is the number with no variable attached to it.
-2 is the constant term in the expression 8xy + 9x2 y − 5x − 2.
Simplify the expression below:
14^2 - 24 / 3(2)
--------------------- (divided by)
|-3 + 2(6)|
Answer:
I got 20 when calculating this
A bacteria population is multiplying by 5 every hour. By what factor does the population change in 1/2 hour? Select all that apply.
The factor which cause the population change in 1/2 hour is "multiply by approximately 2.236" or "increase by a factor of approximately 2.236."
The bacteria population is growing exponentially at a rate of 5 per hour.
Therefore, in half an hour, the population would increase by a factor of 5 raised to the power of 0.5 (since 1/2 hour is half of 1 hour).
This is equivalent to the square root of 5, which is approximately 2.236. So the population would increase by a factor of approximately 2.236 in half an hour.
This means that if the initial population was, say, 100 bacteria, then in half an hour it would be approximately 223.6 bacteria (i.e. 100 multiplied by 2.236).
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The scores on a statistics test had a mean of 81 and a standard deviation of 9. One student was absent on the test day, and his score wasn’t included in the calculation. If his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?.
Using the definitions of the mean and of the standard deviation of a data-set, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added to the data-set, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
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3. Justin went to the movies and
bought a popcorn for $4.25 and a
soda for $2.75. What was his total bill
after addin a 5% sales tax?
Answer:
7.35
Step-by-step explanation:
4.25+2.75=7.00 before tax
7.00 x .05=.35 sales tax
7.00+ .35=7.35 total bill
What is the equation of the line that passes through the point (0,-1) and is parallel to the line represented by the equation y=2x-4
Answer:
y=2x-1
Step-by-step explanation:
y-y sub 1=m(x- xsub1)
y-(-1)=2(x-0)
y+1=2(x-0)
y+1=2x-0
y=2x-1
∠ROP forms a right triangle.
Find the measure of ∠ROQ.
31°
hope it helps......!!!!!
A snack recipe calls for 2 1/2 cups of raisins and 1 1/5 cups of pretzels
Christopher wants to make the same recipe using 1 cup of of pretzels how many cups of raisins will Christopher need?
Answer: your answer is 1/2
Step-by-step explanation: and please friend me. if you want to but you don't have to
find -|-2/5|?
-2.5
2.5
2/5
-2/5
Answer:
(2/5)
Step-by-step explanation:
(-2/5) = -(2/5)
|-(2/5)| = (2/5)
CAN I PLEASE HAVE HELP WITH MY .... MATH?
Answer:
661.50
Step-by-step explanation:
So, if you clock in at 8:15 and clock out at 12:15, you spent 4 hours at work during the morning
That's 44 dollars (11 * 4 = 44)
From 13:00 to 17:30 is 4.5 hours
That's 49.50 dollars (11 * 4.5 = 49.50)
49.50 + 45 = 94.50
That's how much you made in a day
For a week, multiply by 7
94.50 * 7 = 661.50 dollars
310/5=?/1 find the unknown quantity
Answer:
the answer is 62
Step-by-step explanation:
310 divided by 5 = 62
62 divided by 1 = 62
Answer:
62
Step-by-step explanation:
Since the question is a like-fraction, 5 divided by 5 is 1, and 310 divided by 5 is 62, giving you your answer.
Simplify 4/9 - 5/12 + 1/4
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Find the range of the following data 400, -70,-100, -1 ,300 ,290 *
200
470
500
401
Answer:
500 is the range
Step-by-step explanation:
You have to find the difference between the smallest and greatest numbers on the list. It would be 400 - (-100), which equals 500.
On april 8th, a flower at blooming acres florist was 15. 0 centimeters tall. On april 16th, the flower was 17. 4 centimeters tall. If the flower grew at a constant rate, on what day was the flower 16. 5 centimeters tall?.
We need to know about rate of change to solve the problem. The flower was 16.5 cm tall on 13th April.
Rate of change is the rate at which a quantity changes over time, the rate of change might be increasing or decreasing. We know that the flower was 15 cm tall on 8th April and it grew to become 17.4 cm tall on 16th April, we can find the rate of growth of flower from this information. We need to use the rate of change to find out in how many days the flower will be 16.5 cm tall.
rate of growth= 17.4-15/16-8=0.3 cm
number of days to grow by 1.5 cm =1.5/0.3=5
Therefore the flower becomes 16.5 cm tall on 13th April.
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1. Determine the truth values for each of the following statements. (a) The sum of 4 and 6 is prime if and only if either 4 or 6 is prime. (b) If 3 divides 20, then 6 divides 20.
(a) The statement "The sum of 4 and 6 is prime if and only if either 4 or 6 is prime" is false.
(b) The statement "If 3 divides 20, then 6 divides 20" is true.
(a) The sum of 4 and 6 is prime if and only if either 4 or 6 is prime.
To determine the truth value of this statement, we need to evaluate both directions separately.
Direction 1: If the sum of 4 and 6 is prime, then either 4 or 6 is prime.
This direction is true because the sum of 4 and 6 is 10, which is not a prime number. Therefore, the statement is true.
Direction 2: If either 4 or 6 is prime, then the sum of 4 and 6 is prime.
This direction is false because neither 4 nor 6 is a prime number, but their sum is 10, which is not a prime number. Therefore, the statement is false.
Since the statement is not true in both directions, the overall statement is false.
(b) If 3 divides 20, then 6 divides 20.
To determine the truth value of this statement, we need to evaluate the implication.
If 3 divides 20, then 6 divides 20.
This statement is true because 3 divides 20 (3 is a factor of 20), and 6 also divides 20 (6 is a factor of 20). Therefore, the statement is true.
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