Answer:
x=-2, x=1/2
Step-by-step explanation:
> 2x²-x=2-4x
> 2x²-x+4x-2=0
> 2x²+3x-2=0
> 2x(x+2)-(x+2)=0
> (x+2)(2x-1)=0
> x+2=0; 2x-1=0
> x=-2; x=1/2
Ayden earned a score of 50 on Exam A that had a mean of 75 and astandard deviation of 10. He is about to take Exam B that has a meanof450 and a standard deviation of 20. How well must Ayden score onExam B in order to do equivalently well as he did on Exam A? Assumethat scores on each exam are normally distributed.
For the first exam we know that:
\(\begin{gathered} \mu_{1\text{ }}=75 \\ \sigma_1\text{ = 10} \\ \text{score}_1\text{ = 50} \end{gathered}\)So, Ayden was 2.5 five standard deviation away from the mean:
\(50\text{ = }\mu_1\text{ - 2.5}\sigma_1\text{ = 75 - 2.5}\cdot10\text{ = 75 - 25}\)For the second exam, we know that:
\(\begin{gathered} \mu_2\text{ = 450} \\ \sigma_2\text{ = 20} \end{gathered}\)To do equivalently, Ayden score must be 2.5 standar deviations away from the mean, so:
\(\text{score}_2\text{ = }\mu_2-2.5\sigma_2\text{ = 450-2.5}\cdot20\text{ = 450-50 = 400}\)5 ( C - 3 ) = 10 find C
Answer: c=5
Step-by-step explanation:
5(c-3)=10
5c-15=10
5c=10+15
5c=25
c=5
Answer:
5(c-3)=10
(c-3) =10-5
(c-3)=5
c=5+3
c=8
solve by factoring x^2+5-14=0
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
Write the equation of the line that passes through the given points. Include your work in your final answer.
(2, 3) and (2, 5)
PLEASE HELP ASAP! I need the answer for this question anyone ?
Answer:
A: sqrt(11)
B: 4.2
C: sqrt(26)
Step-by-step explanation:
First, 4^2 = 16
That means that sqrt 11 is smaller than 4.2 (a value greater than 4). This is because sqrt16>sqrt11.
Sqrt(26) is greater than sqrt(25) = 5. That means that it's greater than 4.2.
Hence, the order given above.
In a simple linear regression based on 30 observations, it is found that SSE- 2,540 and SST- 13,870 a. Calculate and se (Round your answers to 2 decimal places.) 5 b. Calculate the coefficient of determinationR. (Round your answer to 4 decimal places.) Coefficient of Determination
To calculate the standard error of estimate (SE), we can use the following formula:
SE = sqrt(SSE / (n-2))
where SSE is the sum of squared errors, and n is the number of observations.
Substituting the given values, we get:
SE = sqrt(2,540 / (30-2)) = 5.49
Therefore, the standard error of estimate is 5.49 (rounded to 2 decimal places).
b. The coefficient of determination (R-squared) is given by the ratio of the explained variation (SSR) to the total variation (SST):
R² = SSR / SST
where SSR is the sum of squared regression, and SST is the total sum of squares.
Since this is a simple linear regression, we have:
SST = SSR + SSE
where SSE is the sum of squared errors.
Substituting the given values, we get:
SST = 13,870
SSE = 2,540
Therefore, we can calculate SSR as:
SSR = SST - SSE = 13,870 - 2,540 = 11,330
Substituting these values into the formula for R-squared, we get:
R²= SSR / SST = 11,330 / 13,870 = 0.8188
Therefore, the coefficient of determination (R-squared) is 0.8188 (rounded to 4 decimal places). This means that 81.88% of the variation in the dependent variable (y) can be explained by the linear regression model with the independent variable (x).
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Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation.
time (sec) velocity(ft/sec)
0 13
1 23
2 24
3 15
4 4
5 1
6 10
Total distance traveled during these 6 seconds = 80 feets
Given the data in the question-
Time (sec) Velocity (ft/sec)
0 13
1 23
3 24
4 15
5 4
6 10
Since the distance traveled is shown by.
Distance = Velocity x Time
And since the time interval in the question is given = 1 sec between any two breaks,
By the principle of left-end approximation -
According to the left-end approximation, the velocity given at each equal interval is determined by the function value at the left of each subinterval.
(0,1) ---------------- f (0) = 13
(1,2) ---------------- f (1) = 23
(2,3) --------------- f (2) = 24
(3,4) --------------- f (3) = 15
(4,5) --------------- f (4) = 4
(5,6) --------------- f (5) = 1
Now if we observe the time break between two-time intervals = 1 sec
The expression will be derived as -
= (13 x 1) + (23 x 1) + (24 x 1) + (15 x 1) + (4 x 1) + (1 x 1)
= 13 + 23 + 24 + 15 + 4 + 1
= 80 feets
Therefore, the total distance traveled during these 6 seconds = 80 feets
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Match each description to the type of out-of-pocket expense for an insurance policy.
a fixed amount that you
pay the provider at the
time of service
the percentage of the cost
that you share with the
insurance company
a certain amount that you
pay before the insurance
company pays a claim
Deductible
Copayment
Coinsurance
Reset
Next
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The descriptions can be matched as follows: A fixed amount that you pay the provider at the time of service: Copayment. The percentage of the cost that you share with the insurance company: Coinsurance. A certain amount that you pay before the insurance company pays a claim: Deductible.
The descriptions provided in the question are related to different types of out-of-pocket expenses for an insurance policy.
1. A fixed amount that you pay the provider at the time of service: This refers to a copayment. A copayment is a predetermined, fixed amount that you are required to pay directly to the healthcare provider at the time of receiving a service or treatment covered by your insurance plan. It is typically a set fee for specific services, such as a doctor's visit or prescription medication.
2. The percentage of the cost that you share with the insurance company: This describes coinsurance. Coinsurance is the portion of the healthcare costs that you are responsible for paying, typically after you have met your deductible. It is calculated as a percentage of the total cost of the service or treatment, with the remaining percentage being covered by the insurance company.
3. A certain amount that you pay before the insurance company pays a claim: This corresponds to a deductible. A deductible is the fixed amount that you are required to pay out of your own pocket before your insurance coverage kicks in. Once you have reached your deductible amount, the insurance company will start covering a portion or all of the remaining costs, depending on the terms of your policy.
In summary, the descriptions match the out-of-pocket expenses as follows: copayment, coinsurance, and deductible.
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I WILL GIVE
Create an equivalent expression for this
Answer: C
Step-by-step explanation:
Answer: I think the answer is A.
Step-by-step explanation:
The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does 3/4 tell us about the situation
In the equation a = 500 x (3/4)^t, the fraction 3/4 represents the rate at which the concentration of aspirin decreases over time in the person's body.
In the given equation, a represents the milligrams of aspirin in the person's body, t represents the number of hours since the patient took the medicine, and 3/4 is a fraction. The fraction 3/4 tells us about the rate at which the concentration of aspirin decreases over time in the person's body.
Specifically, it represents the proportion of the remaining amount of aspirin after each passing hour. Each hour, the concentration of aspirin is multiplied by 3/4, indicating that 3/4 of the previous amount remains. This implies that the concentration of aspirin diminishes by 25% (1 - 3/4 = 1/4 = 25%) every hour.
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What is the answer to this. Correct answer will get brainliest.
Some number added to 5 is equal to -11. What is the number?
Answer:-16
Step-by-step explanation:x + 5= -11
isolate x by subtracting 5 on both sides
x=-16
5. What is the next number?
-9, -4, 1, 6,_
Answer:
11
Step-by-step explanation:
Because it's +5 every number
Answer:
11
Step-by-step explanation:
-9 +5=-4
-4+5=1
1+5=6
6+5=11
Please help me solve this.
Answer:
b6
Step-by-step explanation:
hope you help
A skin care company had 1,500 people try a new acne cream. Nine people had a mild reaction the formula is then improved and those 1,500 people try the new cream only 4
Answer:
The percent decrease in number of allergic reactions is 55%
Step-by-step explanation:
Only 4 of them had a mild allergic reaction. What is the percent decrease in number of allergic reactions?
Percent of allergic people= Allergic people/ Total people * 100
= 9/1500* 100
= 0.6 %
IT means that out of 1000 people only 6 persons are allergic to the cream.
New Percent of allergic people= Allergic people/ Total people * 100
= 4/1500* 100
= 0.267 %
It means that out of 1000 people only 2.67 persons are allergic to the new improved cream.
Difference between Percentage = Old Percentage- New Percentage
= 0.6 %- 0.267%
=0.333%
Decrease= 0.333% = 0.333/100
In every thousand people 3.33 people are free of allergic reactions from those 6 allergic people.
Percentage Decrease= Decrease/ Total * 100
= 0.333/ 0.6 *100
= 0.55*100
= 55 %
The percent decrease in number of allergic reactions is 55%
Which statements are true? Select all that apply. 49 is a perfect square. 9 is a perfect cube. 27 is a perfect cube. 14 is neither a perfect square nor a perfect cube. 1,000 is both a perfect square and a perfect cube.
correct:
49 is a perfect square; 27 is a perfect cube; 14 isnt a perfect sqaure, nor a perfect cube;
false:
9 is not a perfect cube; 100 is a perfect cube, but not a perfect square.
can i have brainliest?-
Choose the correct item from each drop-down menu to factor the trinomial 3x2 + 13x – 10 by grouping
The factored form of 3x^2 + 13x - 10 is (3x - 2)(x + 5).
To factor 3x^2 + 13x – 10 by grouping, we need to find two numbers whose product is 3(-10) = -30 and whose sum is 13.
Let's list all the factor pairs of -30:
-1, 30
-2, 15
-3, 10
-5, 6
Out of these pairs, the pair that adds up to 13 is -2 and 15.
We can use these numbers to rewrite the middle term:
3x^2 - 2x + 15x - 10
Now, we can group the first two terms and the last two terms:
(3x^2 - 2x) + (15x - 10)
We can factor out the greatest common factor from each group:
x(3x - 2) + 5(3x - 2)
Now, we can see that we have a common factor of (3x - 2):
(3x - 2)(x + 5)
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The given question is incomplete, the complete question is:
What is the factored form of 3x^2 + 13x - 10?
slope=-2 and it passes through the point (5,6)
Answer:
Step-by-step explanation:
y = mx + b where: m= the slope = -5/6
1 ∙y=mx+b.
2 here m=5.
3 ⇒y=5x+b←is the partial equation.
4 9=5+b⇒b=9−5=4.
5 ⇒y=5x+4←is the equation of the line
How to Find the Equation of a Line from Two Points
Find the slope using the slope formula. ...
Use the slope and one of the points to solve for the y-intercept (b). ...
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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3.9 in fration form in fration
Answer: 39/10
Step-by-step explanation:
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
3.9
1
= (3.9 × 10)
(1 × 10)
= 39/10
Identify the dependent variable: the time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls the distance travelled while walking and the time taken the cost of an end of year grade 9 party and the number of people attending
Answer:
The time it takes to make rag dolls for a mission in Africa.
The time taken.
The cost of an end year party.
Step-by-step explanation:
The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.
The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;
DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.
The distance travelled while walking and the time taken ;
DEPENDENT VARIABLE = THE time taken
The time taken will depend on distance traveled.
The cost of an end of year grade 9 party and the number of people attending ;
DEPENDENT VARIABLE = The cost of an end year party.
Cost of partybwill depend on the number of people attending.
A population is growing at a rate of 2 ,4, 8, 16, 32. Which type of growth does this describe? linear logistic exponential consistent.
The ratio is constantly 2 and greater than 1, the growth described by the sequence is exponential.
To determine the type of growth described by the given sequence of growth rates (2, 4, 8, 16, 32), let's analyze the pattern step by step:
Step 1: Calculate the ratios between consecutive terms:
4/2 = 2
8/4 = 2
16/8 = 2
32/16 = 2
Step 2: Determine if the ratios are consistent.
Since the ratios between consecutive terms are all equal to 2, this indicates that the growth is consistent. Consistent growth means that each term is obtained by multiplying the previous term by the same constant ratio.
Step 3: Identify the type of consistent growth.
To identify the specific type of consistent growth, we can examine the values of the ratios.
If the ratio is less than 1, it would indicate a decaying or diminishing growth.
If the ratio is equal to 1, it would indicate linear or arithmetic growth.
If the ratio is greater than 1, it would indicate exponential growth.
If the ratio approaches a limit as the terms progress, it would indicate logistic growth.
In this case, since the ratio is constantly 2 and greater than 1, the growth described by the sequence is exponential.
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Which could be a step used when solving the equation 2x−5=1/3x
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by 3. I take it mean 1/3 * x and not 1/(3*x) which puts x in the denominator.
6x - 15 = (1/3) x * 3 Cancel on the right.
6x - 15 = x Subtract 6x from both sides.
6x - 6x - 15 = x - 6x Collect light terms
- 15 = - 5x Divide by - 5
-15/-5 = -5x/-5
x = 3
The question I have is y=3bx-7x. It says to solve the literal equation for x.
Answer:
y/( 3b-7)=x
Step-by-step explanation:
y=3bx-7x
Factor out x
y=(3b-7)x
Divide each side by (3b-7)
y/( 3b-7)=(3b-7)x/ ( 3b-7)
y/( 3b-7)=x
Answer:
\(\huge \boxed{x= \frac{y}{3b-7} }\)
Step-by-step explanation:
\(\sf y=3bx-7x\)
Factor out x from the expression.
\(\sf y=x(3b-7)\)
Divide both sides by (3b - 7).
\(\sf \displaystyle \frac{y}{3b-7} =x\)
How do I find the vertex function
Answer:
oh ok. So, first, you get the equation in the form y=ax2+bx+c. Next, you calculate -b / 2a. This is the x-coordinate of the vertex. Then finally, you plug in the value of -b / 2a into the equation into the x variable and solve for the y variable. This is the coordinate of the vertex.
Step-by-step explanation:
Hope this helps!
make R the subject of the formula , A equals to P( l+r/100)
Answer:
r = 100(\(\frac{A}{P}\) - 1 )
Step-by-step explanation:
Given
A = P(1 + \(\frac{r}{100}\) ) ← divide both sides by P
\(\frac{A}{P}\) = 1 + \(\frac{r}{100}\) ( subtract 1 from both sides )
\(\frac{P}{A}\) - 1 = \(\frac{r}{100}\) ( multiply both sides by 100 )
100 ( \(\frac{P}{A}\) - 1) = r
A college student plans to take out a $6,000 loan to cover the cost of purchasing a used car. If the loan has a 6% annual interest rate compounded continuously, with no payments due for the first two years. The student will pay off the loan with a lump sum after 15 months. Determine how much interest will be owed if the student pays off the loan after 15 months.
$565.05
$467.30
$8,757.62
$6,467.30
Answer:
(b) $467.30
Step-by-step explanation:
You want the interest due after 15 months on a $6000 loan at 6%, compounded continuously.
Continuous compoundingThe formula for interest due on the loan is ...
I = P(e^(rt) -1)
where P is the principal amount of the loan at annual rate r for t years.
ApplicationFor this loan, the interest due is ...
I = $6000(e^(0.06·(15/12)) -1) ≈ $467.30
The interest owed is ...
(b) $467.30
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To play a game, a 12-sided number cube with faces numbered 1,1,2,2,3,3,3,4,4,4,5,5, is rolled. As a percent rounded to the nearest tenth, what is the probabality of rolling either a 3 or 5
The required probability of rolling either 3 or 5 after rolling 12-sided number cube is given by 41.67%.
Number of sides of cube with faces numbered = 12
Sample space = 1,1,2,2,3,3,3,4,4,4,5,5
Probability
= ( number of favourable outcomes )/ (Total number of outcomes)
Probability of rolling either a 3 or 5
= (Number of ways 3 or 5 rolled )/ ( total number of possible outcomes)
Numbers of ways 3 rolled = 3
Number of ways 5 rolled = 2
Total number of ways 3 or 5 rolled = 5
Total number of cube number rolled = 12
Probability of rolling either a 3 or 5 = 5/12
= 0.41666
= 41.67% (rounded to the nearest tenth)
Therefore, the probability of rolling either a 3 or 5 is 41.67%( rounded to the nearest tenth).
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What is 7 divided by 230
Answer:
0.0304347826
Step-by-step explanation:
Answer: 32.8571428571429 or 0.0304347826086957
Step-by-step explanation:
Hope this helped