Answer:
i dont know
Step-by-step explanat
Answer:
0.068
Step-by-step explanation:
when you turn a percent into a decimal you move the point two points to the left. ex: 7% = 0.07
Two different jars of the same coffee are are available in the supermarket.
200 grams for £5.69 300 grams for £7.49
Work out which jar offers the best value for money.
Answer:
The three hondred grams
How do I solve this problem?
Answer:
x = 12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) *6 = (4+23) * 4
(6+x) *6 = 27*4
6(6+x) = 108
Divide each side by 6
6+x =18
Subtract 6 from each side
6+x-6 =18-6
x = 12
Curium-243 has a half-life of 28.5 days. in a sample of 5.6 grams of curium-243, how many grams will remain after 12 days?
After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.
Given that,
The half-life of curium-243 is 28.5 days.
We have to find how many grams of curium-243 will be left in a sample with 5.6 grams after 12 days.
We know that,
The formula is
A(t) = A₀(1/2\()^{t/h}\)
Here,
t= 12 days, half life,
h =28.5 days .
And the initial value, A(0)=5.6 grams
So we will get
A(t) = 5.6(1/2\()^{12/28.5}\)
A(t) = 5.6×0.747 = 4.2 grams
Therefore, After 12 days, 4.2 grams of curium-243 remains will be left in a sample with 5.6 grams after 12 days.
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PLS HELP WITH NUMBER 13 ITS URGENT
hope it helps
im not sure about it
Between what two consecutive integers on the number line is the graph of the sum sqrt(30) + sqrt(50)?
Answer:
sqrt(30)+sqrt(50) = 12.5482933869171364 which is between m and n 12 and 13
ABCD is a kite, So AC - DB and DE=EB Calculate the length of \overline{AC} AC to the nearest tenth of a centimeter.
Answer:
AC=9CM
Step-by-step explanation:
Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:
AC = BD and AB = BC = CD = DA
We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:
AD = BC and AE = EC
AD=5cm and DC=4cm
Combining these equations, we have:
AC = AD + DC
AC=5cm+4cm=9cm
Macon Steinberg purchased a motor scooter with an installment loan that has an APR of 16 percent. The motor scooter sells for $1,687. The store financing requires a 20 percent down payment and 30 monthly payments.
What is the down payment?
What is the amount of the loan?
What is the monthly payment?
What is the total amount repaid?
What is the finance charge?
The finance charge is $285
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
Given;
An installment loan that has an APR of 16 percent
The motor scooter sells for $1,687
The store financing requires a 20 percent down payment
Monthly payments are for 30months
Now,
Downpayment= cost of scooter*20%
=1687*20%
=$337.4
Amount of finance = Cost of scooter - Down payment
=1687-337.4=1349.6
Interest rate=16%*1/12=1.3% per month
Monthly payment = Amount of finance*I/[1-(1+I)^-n]
=1349.6*1.3%/[1-(1+1.3%)^-30]
=1349.6*0.013(1-0.6780)
=17.5448/0.322
=54.486
Total amount paying for loan over a period = Monthly payment * Term
=54.486*30=1634.6
Amount of finance charge = Total amount paying for loan - Amount of loan
Amount of finance charge =1634.6-1349.6
=285
Therefore, the finance charge by given percent will be $285
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A research center poll showed that 85% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is (Type an integer or a decimal.)
The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
For given question,
A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.
so, the probability that someone have this belief is P = 0.85
We know that in probability,
p = 1 - q
where;
p is probability of success
q is probability of failure.
Thus the probability that someone does not have this belief would be,
= 1 - P
= 1 - 0.85
= 0.15
Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
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I need help with this assignment and finding the measures and equations
Answer:
(4x-9)° +(6x+2)° +x° = 180°∠P = 59°∠Q = 104°∠R = 17°Step-by-step explanation:
Given ∆PQR with ∠P = (4x-9)°, ∠Q = (6x+2)°, and ∠R = x°, you want an equation to find x, and the measures of the angles.
EquationThe equation expresses the fact that the sum of angles in a triangle is 180°.
∠P +∠Q +∠R = 180°
(4x -9)° +(6x +2)° +x° = 180°
Solution11x -7 = 180 . . . . . . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . . add 7
x = 17 . . . . . . . . divide by 11
AnglesThe angle measures are found by substituting for x in the angle expressions:
∠P = (4·17 -9)° = 59°
∠Q = (6·17 +2)° = 104°
∠R = 17°
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is startfraction 5 over 9 endfraction. find the scalar projection of x onto y and their dot product. xy = x · y =
The scalar projection of x onto y is 10, and the dot product of x and y is 240.
What is the scalar projection of x onto y?The scalar projection of x onto y is given by the formula:
proj_y x = |x| cos(θ),
where |x| is the length of x, cos(θ) is the cosine of the angle between x and y, and proj_y x is the scalar projection of x onto y.
So we have:
proj_y x = |x| cos(θ) = 18 (5/9) = 10.
The dot product of x and y is given by the formula:
x · y = |x| |y| cos(θ),
where |x| and |y| are the lengths of x and y, and cos(θ) is the cosine of the angle between x and y.
So we have:
x · y = |x| |y| cos(θ) = 18 × 24 × (5/9) = 240.
Therefore, the scalar projection of x onto y is 10, and the dot product of x and y is 240.
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y-20 = 0.75(x-4) solve for y
Answer:
y = 0.75x + 17
Step-by-step explanation:
y - 20 = 0.75(x-4)
y - 20 = 0.75(x) + 0.75(-4)
y - 20 = 0.75x -3
y = 0.75x -3 + 20
y = 0.75x + 17
y - 20 = 0.75(x - 4) |add 20 to both sides
y = 0.75(x - 4) + 20we can simplified equation:
use the distributive property: a(b + c) = ab + ac
y = 0.75x - 0.75 · 4 + 20
y = 0.75x - 3 + 20
y = 0.75x + 17Wriite the product of 7 and a number w as an expression
what is the supplement of 5 degrees
What is the supplement of 161 degrees
Step-by-step explanation:
Supplement of 5°
180° - 5° = 175°
Supplement of 161°
180° - 161° = 19°
Pls help Lila's mom is decorating her room and placed acircular rug near her window for story time.How much space does this rug take up if its diametermeasures 25 feet?
Step1: Write the area of the circular Rug
The area of the circle is
\(\Pi r^2\)From the question the diameter is 25feet, hence the radius is
\(\begin{gathered} \text{radius}=\frac{diameter}{2} \\ =\frac{25}{2} \end{gathered}\)Step2: substitute the value into the formula
\(\begin{gathered} \text{area of circular rug=area of a circle=}\Pi r^2 \\ =\frac{22}{7}\times\frac{25}{2}\times\frac{25}{2} \\ =\frac{13750}{28} \\ =491.07ft^2 \end{gathered}\)Hence the area of the circular rug is 491.07 square feet
The will take approximately 491square feetyou
Let A = [V1 V2 V3 V4 V5] be a 4 x 5 matrix. Assume that V3 = V1 + V2 and V4 = 2v1 – V2. What can you say about the rank and nullity of A? A. rank A ≤ 3 and nullity A ≥ 2 B. rank A ≥ 2 and nullity A ≤ 3 C. rank A ≥ 3 and nullity A ≤ 2 D. rank A ≤ 2 and nullity A ≥ 2 E. rank A ≥ 2 and nullity A ≤ 2
We have rank A ≤ 3 and nullity A ≥ 1. However, it is possible that the nullity is actually greater than 1 (for example, if V1 = V2 = V4 = 0), so the best answer is A. Rank A ≤ 3 and nullity A ≥ 2.
The rank of a matrix is the number of linearly independent rows or columns. From the given information, we can see that V3 is a linear combination of V1 and V2, and V4 is a linear combination of V1 and V2. This means that at least two of the rows (or columns) in A are linearly dependent, which implies that rank A ≤ 3.
The nullity of a matrix is the dimension of its null space, which is the set of all vectors that satisfy the equation Ax = 0 (where x is a column vector). Using the given information, we can rewrite the equation for V4 as 2V1 - V2 - V4 = 0, which means that any vector x that satisfies this equation (with the corresponding entries in x corresponding to V1, V2, and V4) is in the null space of A. This means that the nullity of A is at least 1.
Combining these results, we have rank A ≤ 3 and nullity A ≥ 1. However, it is possible that the nullity is actually greater than 1 (for example, if V1 = V2 = V4 = 0), so the best answer is A. rank A ≤ 3 and nullity A ≥ 2.
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2+4/5-3/20
could anyone possibly help me with this equation? If yes, i would be very grateful towards you! thank you!
Answer:
2 13/50
Step-by-step explanation:
gogle
On solving the expression 2 + (4/5) - (3/20), we get 53/20.
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.Given is the expression -
2 + (4/5) - (3/20)
The given expression is -
2 + (4/5) - (3/20)
Now, solving further, we get -
2 + (4/5) - (3/20)
2 + 4/5 - 3/20
(40 + 16 - 3)/20
53/20
Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.
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The as-served cost of a kid's dinner special is $2.25. If the restaurant uses a target cost percentage of 35%, what is the target price of the kid's dinner special?
Answer:
$3.0375
Step-by-step explanation:
Original price of dinner = $2.25
If cost percentage of 35%, then the additional cost paid will be;
35% * 2.25
= 0.35 * 2.25
= $0.7875
Target price = Original price + additional cost
Target price = $2.25 + $0.7875
Target price = $3.0375
Devon has $200 in his savings account. He has to withdraw $8 every week to pay his friend back for some video games. The video games cost $88. How many weeks will it take to pay his friend back? How much will Devon have left in his savings account?
Answer:
it will tale 11weeks to pay back his friends and he will have $112left after.
Step-by-step explanation:
88÷8=11.
200- 88 =112
A father left 280 acres of land to be divided among his sons Al and Bob in the ratio 4:3, respectively. How many acres should Al receive?
Answer:
160 acres
Step-by-step explanation:
Given data
Total Amount of land= 280 Acres
Ratio=4:3
Total part = 4+3= 7
Applying the part to all method
let AI receive x acres
Then
4/7= x/280
cross multiply
7x= 280*4
7x=1120
x= 1120/7
x= 160
Hence AI will receive 160 acres
HELP ME PLEASE. I dont get this
The value of x for the given angles is 23
What is transversal?A transversal is a line that, at two different locations in the geometry, cuts through two lines in the same plane. The angles that result from a transversal crossing of two lines in pairs can be successive internal angles, matching angles, or alternate angles.
Given lines m and n, where m ║ n
and t intersect at both the lines as shown in the figure,
so line t works s transversal,
and angles,
(8x - 27)° and (7x - 4)°
both the angles are at the bottom of the line and same side so they are corresponding angles,
and corresponding angles for any transversal are equal,
(8x - 27)° = (7x - 4)°
8x - 27 = 7x - 4
8x - 7x = -4 + 27
x = 23
Hence the value of x is 23.
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The government buys new weapons systems. The manufacturers of weapons pay their employees. The employees spend this money on goods and services. The firms they buy goods and services from pay their employees and the local economy expands. This illustrates
The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.
These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.
This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.
These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.
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if a clock is at the hour 4 and the minutes hand is at the number 5 what time is it
Step-by-step explanation:
You already know what the hour is so you just need to find the minute. Every number is at a 5 tick interval. So you can count by 5 or multiply 5x5.
Answer:
4:25
Step-by-step explanation:
Every number on the clock is 5 minutes. 5 * 5 = 25.
Which of the following are examples of continuous random variables? Not yet answered Select one: Points out of 1.00 a. The height of a NFL wide receiver chosen at random. b. Flag question The number of enemy units defeated by Zelgius, a red sword armor unit, in a challenging abyssal map against Dimitri in Fire Emblem Heroes. O c. The number of championships that D.J. Mbenga won with the Los Angeles Lakers. Od. The number of baseballs owned by a postseason high school baseball pitcher.
The examples of continuous random variables among the given options are the height of an NFL wide receiver chosen at random (option a) and the number of baseballs owned by a postseason high school baseball pitcher (option d).
A continuous random variable is a variable that can take on any value within a certain range or interval. In contrast, a discrete random variable can only take on specific, distinct values.
Let's examine each option to determine if it represents a continuous random variable:
a. The height of an NFL wide receiver chosen at random: This is a continuous random variable because height can take on any value within a certain range (e.g., from very short to very tall) and can be measured with precision using real numbers.
b. The number of enemy units defeated by Zelgius, a red sword armor unit, in a challenging abyssal map against Dimitri in Fire Emblem Heroes: This option is not a continuous random variable. It represents a discrete random variable because the number of enemy units defeated can only take on specific, distinct values (e.g., 0, 1, 2, 3, ...).
c. The number of championships that D.J. Mbenga won with the Los Angeles Lakers: This option is not a continuous random variable. It represents a discrete random variable because the number of championships can only take on specific, distinct values (e.g., 0, 1, 2, 3, ...).
d. The number of baseballs owned by a postseason high school baseball pitcher: This is a continuous random variable because the number of baseballs can take on any value within a certain range (e.g., from zero to a potentially large number) and can be measured with precision using real numbers.
Therefore, options a and d are examples of continuous random variables because they represent quantities that can take on any value within a certain range, while options b and c are examples of discrete random variables because they can only take on specific, distinct values.
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what is the difference between descriptive statistics and inferential statistics?
A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.
Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.
The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.
The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.
Hence we get the required answer.
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Explain My last question for my test!! If you help Thank you soo much I will give brainliest if I have time and notice
Answer:
Step-by-step explanation:
(13g+1) - (-2-5g) = 8/3(3g+9/8)
We'll set them equal for now and then simplify
(13g + 1 - 2 - 5g) = (8g + 3)
8g - 1 = 8g + 3
So now we know they're not equal. Mr. Scotty boy is wrong and you have the simplifications. Hope this helps!
What does the random variable for a binomial experiment of n trials measure?.
Answer:
What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.
Step-by-step explanation:
Suppose you are going to test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2. Sample 1 has a mean of 34. 5 and sample 2 has a mean of 30. The respective standard deviations are 5 and 9 and the sample sizes are 33 and 42. What is the test statistic?.
To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.
The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.
You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
H0: μ1 - μ2 = 2
H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.
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find the volume of the prism help pls i will give 5 star and brainliest
Answer:
80 cubic units
Step-by-step explanation:
Area for rectangular prism is l*w*h
2*8*5=80
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
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A random variable Y has a uniform distribution over the interval (θ1, θ2). Derive the variance of Y .
A random variable Y has a uniform distribution over the interval (θ1, θ2). The variance of Y is (θ2 - θ1)^2 / 12.
The variance of a uniform distribution is given by:
\(Var(Y) = (θ2 - θ1)^2 / 12\)
To derive this, we can use the standard formula for variance:
\(Var(Y) = E(Y^2) - [E(Y)]^2\)
where E(Y) is the expected value of Y.
Since Y is uniformly distributed over the interval (θ1, θ2), we have:
\(E(Y) = (θ1 + θ2) / 2\)
To compute E(Y^2), we have:
\(E(Y^2) = ∫θ1^θ2 y^2 f(y) dy\)
where f(y) is the probability density function of Y, which is constant over the interval (θ1, θ2) and zero elsewhere. Therefore:
\(E(Y^2) = ∫θ1^θ2 y^2 (1 / (θ2 - θ1)) dy\)
\(= [(y^3 / 3) * (1 / (θ2 - θ1))] from θ1 to θ2\)
\(= (θ2^3 - θ1^3) / (3 (θ2 - θ1))\)
Now, we can compute the variance:
\(Var(Y) = E(Y^2) - [E(Y)]^2\)
\(= (θ2^3 - θ1^3) / (3 (θ2 - θ1)) - [(θ1 + θ2) / 2]^2\)
\(= (θ2 - θ1)^2 / 12\)
Therefore, the variance of Y is (θ2 - θ1)^2 / 12.
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