Step-by-step explanation:
please mark me as brainlest
Answer:
-9.5x + 22.3
Step-by-step explanation:
Given expression:
-5(1.9x−4.32)+0.7Apply Distribution property and then simplify.
(−5)*(1.9x) -5 *-4.32 + 0.7-9.5x+21.6+0.7Now Simplifying,
-9.5x + 22.3Choice B is accurate.
Liz flips a coin 60 times. The coin lands heads up 18 times and tails up 42 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
(Type an integer or a decimal.)
Answer:
30%
Step-by-step explanation:
18/60 = .3 × 100% = 30%
What is the quotient in simplest form?
12/7 divided by 3
7/36
4/7
1 3/4
5 1/7
Answer 7/36......
Explanation
What is the probability that the sample proportion is between 0.2 and 0.42?
The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.
To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.
First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.
Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.
Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.
Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.
In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.
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Prove that the medians to the legs of an isosceles triangle are congruent.
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
Mr. Kelley aked her tudent to plot the number of book they read over the ummer. A dot blot titled Book Read Over the Summer goe from 0 to 7. 0 ha 1 dot, 1 ha 3 dot, 2 ha 6 dot, 3 ha 2 dot, 4 ha 3 dot, 5 ha 1 dot, 6 ha 2 dot, and 7 ha 0 dot. Uing the dot plot, what wa the total number of tudent that plotted the number of book they read?
3
6
17
18
The total number of student that plotted the number of book they read is 18.
What was the total number of student that plotted?A dot blot the caption Book Read Over the Summer goes from 0 to 7. 0 ha 1 dot, 1 ha 3 dot, 2 ha 6, 3 ha 2, 4 ha 3, 5 ha 1 dot, 6 ha 2, and 7 ha 0 dot are the numbers. Using a dot plot
the total number of students who tracked how many books they read
add total dots
1 dot + 3 dot + 6 dot + 2 dot + 3 dot +1 dot + 2 dot + 0 dot = 18.
The total number of student that plotted the number of book they read is 18.
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American General offers a 9-year annuity with a guaranteed rate of 6.28% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $1500 annually over the 9 year period? How much should a customer pay for this annuity? (Round to the nearest cent)
You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.
To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.
The formula to calculate the present value of an annuity is:
PV = PMT × [1 - (1 + r)⁻ⁿ] / r
Where:
PV is the present value of the annuity (the amount you should pay initially)
PMT is the payment amount received annually ($1500 in this case)
r is the interest rate per period (6.28% or 0.0628)
n is the total number of periods (9 years)
Let's substitute the values into the formula:
PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628
Calculating this expression:
PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628
PV = $1500 × [1 - 0.575255] / 0.0628
PV = $1500 × 0.424745 / 0.0628
PV ≈ $10117.09
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if rooms revenue is $75,884 and the total number of rooms sold is 662, then the average daily rate is: group of answer choices $114.63 $125.00 $118.75 $136.50
The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.
The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.
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What is the value of a in the equation?
a + 6 = 22 - 7
A.11
B.9
C.14
D.8
Answer:
B.
Step-by-step explanation:
a + 6 = 22 - 7
a + 6 = 15
a + 6 - 6 = 15 - 6
a = 9
An item is regularly priced at $27. Jose bought it on sale or 45% off the regular price
Answer:
You pay 14.85
You save 12.15
Step-by-step explanation:
Trust
Using the substitution method, Jake is solving the following system of equations
algebraically:
y = -2x-4
2x – 6y = -28
Answer:
(3, 1)
Step-by-step explanation:
I need help with this, giving brainly for the right answer!
Answer:
(1st option) x>-3
Step-by-step explanation:
x is the line the inequality is on the open circle means the inequality is NOT equal to the number its on (-3), so there should be no horizontal line underneath the greater or less than sign the numbers increase along the line, so it will be greater thantherefore, x is greater than negative three
x>-3
Sarah bought a headband for $3.67 she gave the clerk $10.75 estimate to the nearest ones place to find
Answer:
$ 7.00
Step-by-step explanation:
$10.75 - $3.67 = $7.08
7.08 is closest to 7
$ 7.00
Hope this helps! :)
Please mark brainiest
Can someone please answer my math question:(
Answer:
were is the pic I cant answer lik
Ruth contributes 15% of the total cost of her individual health care. This is a $ 60.00 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year? a) How much does Ruth contribute every payday? b) How many pay periods are there in a year? C) Write an equation to show her total salary for the year . d)What is the total value of her individual coverage for the year? e) How many % is the company's contribution to her health care?Show your work f) How much is the company's contribution to her health care? Show all work.
Answer:
A.) $10,400
Contribution every payday = $60
Pay periods in a year = 26
Step-by-step explanation:
Assume her salary, that is total cost = y
Percentage deduction 15% of total cost
biweekly paychecks = $60
Therefore, 15% of y = $60
(15/100)y = 60
15y = 6000
y = 400
Total value of contribution:
$400 × number of biweeks in a year
If number of weeks in a year = 52
No of bi-weeks = 52/2 = 26
$400 × 26 = $10400
Answer:
the correct answer is $9,750.00
got it right
Step-by-step explanation:
a catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were willing to wait on hold before ordering a product. the wait time is normally distributed with an average of 2.5 minutes and a standard deviation of 0.5 minutes. what is the probability that a caller will be assisted in less than 1.5 minutes? select one: 0.8413 0.0228 0.9772 0.0505
To find the probability that a caller will be assisted in less than 1.5 minutes, we can use the normal distribution and the given average and standard deviation. Using the Z-score formula, we can calculate the Z-score for 1.5 minutes based on the average and standard deviation provided.
The Z-score is defined as (X - μ) / σ, where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. For this case, X = 1.5 minutes, μ = 2.5 minutes, and σ = 0.5 minutes. Plugging these values into the formula, we get (1.5 - 2.5) / 0.5 = -2. To find the probability corresponding to this Z-score, we can consult a standard normal distribution table or use a calculator. The Z-score of -2 corresponds to a probability of approximately 0.0228. Therefore, the correct answer is "0.0228," representing the probability that a caller will be assisted in less than 1.5 minutes.
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1- If y=sigmoid(a), then show that dy/da=y(1-y) 2- Find the value of p for which Gini’s index is maximized. At which point(s) does G(p) assume its minimum?
1) dy/da = y(1 - y) , because y = 1 / (1 + e⁽⁻ᵅ⁾), so 1 - y = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾ )
2) the minimum of G(p) occurs at the points p = 0 and p = 1.
How to show that dy/da=y(1-y)1) If y = sigmoid(a), then y = 1 / (1 + e⁽⁻ᵅ⁾).
To find dy/da, we need to take the derivative of y with respect to a.
dy/da = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾)²= y(1 - y)
This is because:
- The derivative of 1 / (1 + e⁽⁻ᵅ⁾) is e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾)²
- y = 1 / (1 + e⁽⁻ᵅ⁾), so 1 - y = e⁽⁻ᵅ⁾ / (1 + e⁽⁻ᵅ⁾ )
- Therefore, dy/da = y(1 - y)
2) Gini's index, G(p), is used to measure inequality and is defined as G(p) = 1 - (p² + (1-p)²), where 0 <= p <= 1.
To maximize G(p), we need to find the point where its derivative with respect to p is zero:
dG(p)/dp = -2p - 2(1-p) = 0
Solving for p, we get p = 0.5
Thus, Gini's index is maximized at p = 0.5. For the minimum of G(p), we consider the endpoints, which are p = 0 and p = 1.
In both cases, G(p) = 1 - (1² + 0²) = 0.
So, the minimum of G(p) occurs at the points p = 0 and p = 1.
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Help out with this question please!
Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true
Find the quotient. 2x - 3 over x divided by 7 over x^2
The quotient include the following: D. \(\frac{x(2x-3)}{7}\)
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce the following mathematical expression;
\(\frac{2x-3}{x} \div \frac{7}{x^2}\)
By rearranging the mathematical expression using the multiplication operation, we have:
\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)
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What’s the answer to the question I’m confused
let's move like the crab, backwards, let's get hmmm EF first
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)
\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)
Make sure your calculator is in Degree mode.
find the value of x
Answer: -23
Step-by-step explanation:
PLEASE HELPPPP
Brainlist to best answer.
How are the expressions 1/3Bh and 1/3 πr²h related?
-15=10x-40x
what does x equal to
Answer:
0.5
Step-by-step explanation:
-15=-30x
-15/-30=0.5
6.
Given that h:x→+2r-3 is a mapping
defined on the set A=(-1,0,. 1,2), find
the range of h.
The range of h include the following: {-4, -3, 0, 5}.
What is a range?In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.
Based on the information provided about the quadratic function, the range can be determined as follows:
h(x) = x² + 2x - 3
h(x) = -1² + 2(-1) - 3
h(x) = -4
h(x) = x² + 2x - 3
h(x) = 0² + 2(0) - 3
h(x) = -3
h(x) = x² + 2x - 3
h(x) = 1² + 2(1) - 3
h(x) = 0
h(x) = x² + 2x - 3
h(x) = 2² + 2(2) - 3
h(x) = 5
Therefore, the range can be rewritten as {-4, -3, 0, 5}.
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Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).
The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and 0.118 for men who asked for promotion and received.under the condition that from the men interviewed 20% had asked for a promotion and 59% of the men who had asked for a promotion and received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20
P(man received promotion, given he asked for one)
= 59/100
= 0.59
P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.
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Given the following:
What theorem or potulate can be ued to conclude the triangle are congruent?
To identify the congruence postulate used, you need to analyze the given information about the sides and angles of the triangles and choose the postulate that matches the given information.
It's good to use different congruence postulates to identify the congruence of triangles. To identify the congruence postulate used, you need to analyze the given information about the sides and angles of the triangles and see which postulate matches the given information.
For example, if you are given the lengths of two sides and the included angle of one triangle, and the lengths of the corresponding sides and included angle of the other triangle, you can use the SAS Congruence Theorem to conclude that the triangles are congruent. If you are given the lengths of all three sides of both triangles, you can use the SSS Congruence Theorem to conclude that the triangles are congruent.
It's also important to note that the AAS Congruence Theorem is not a valid postulate. The correct postulate is the ASA (Angle-Side-Angle) Congruence Theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, and the included sides are congruent, then the triangles are congruent.
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Y= 4x+3 make x the subject
Answer:
x = (y-3)/4Step-by-step explanation:
Y= 4x+3 make x the subject
4x = y - 3
x = (y-3)/4
Given that the area of a triangle is given by the formula A =
- 2oh, what is the value of A if b = 4 cm and h = 6
cm?
Answer:
12 square centimeters
Step-by-step explanation:
Not sure what formula you are using here. The standard one is A=1/2 b h, where b is the base and h is the height.
base=4
height=6
A= 1/2 x 4 x 6
A=1/2 x 24
A=12 cm^2
What is Abacus in terms of maths ?
Answer:
An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.
in exercises 59-62, find the component form of the sum of u and v with direction angles
The component form of the sum of u and v with direction angles is u + v = (10√2 - 50)i + 10√2 j.
We are given the magnitudes and direction angles of vectors u and v. We need to find the component form of their sum.
Let's first convert the given magnitudes and direction angles to their corresponding components. For vector u:
|u| = 20, θu = 45°
The x-component of u is given by:
ux = |u| cos(θu) = 20 cos(45°) = 10√2
The y-component of u is given by:
uy = |u| sin(θu) = 20 sin(45°) = 10√2
Therefore, the component form of vector u is:
u = 10√2 i + 10√2 j
Similarly, for vector v:
|v| = 50, θv = 180°
The x-component of v is given by:
vx = |v| cos(θv) = -50 cos(180°) = -50
The y-component of v is given by:
vy = |v| sin(θv) = 50 sin(180°) = 0
Therefore, the component form of vector v is:
v = -50 i + 0 j
The component form of the sum of u and v is given by the sum of their x- and y-components:
u + v = (10√2 - 50) i + (10√2 + 0) j
Simplifying, we get:
u + v = (10√2 - 50) i + 10√2 j
Therefore, the component form of the sum of u and v is:
u + v = (10√2 - 50) i + 10√2 j
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The question is -
Find the component form of the sum of u and v with the given magnitudes and direction angles θu and θv.
| | u | | = 20 , θu = 45° | | v | | = 50 , θv = 180°.