the sum of two fractions is 9 1^4 their difference is 3 1^8, what are the two fractions?​

Answer:

1998

Step-by-step explanation:

Answer:

the answer is 1998 just looked it up i was to lazy to do the work my self

Step-by-step explanation:

The probability that at least 25 of the 29 customers have looked at their credit score in the past six months is:

P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

This is a question of probability and statistics, specifically in the area of binomial distributions. The probability of a single event can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

X = the number of successful outcomes (in this case, the number of customers who have looked at their credit score in the past six months)

k = the number of successful outcomes we want to know the probability of (in this case, 25)

n = the total number of trials or customers (in this case, 29)

p = the probability of a successful outcome (in this case, 0.67 or 67%)

        P(X ≥ k) = sum(P(X = i)) i = k to n

        P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

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Answer:

1) The store selling for 1.1 per 3 lbs

2) $6.24

Step-by-step explanation:

1)

1.1/3 = 0.37

0.78/2 = 0.39

0.37 is cheaper so it's a better deal

2)

\(\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24\)

Answer:

1.10 for 3 is the better deal.  It will cost $6.24 for the pencils.

Step-by-step explanation:

Do two separate problems but find how much it is for 1 carrot.  So the first is:$1.10 divided by 3 carrots = .366 or 37 cents per carrot.

The second one is: .78 divided by 2 carrots = .39 cents per carrot.

If you break 24 students into groups of 3, that would be 8 groups. 24 divided by 3 = 8.  

8 sets of 3 pencils is .78 x 8 = $6.24

By congruence of triangles ACB and DCE, we get the value of x as 3.5.

Two triangles are said to be congruent if all sides and all angles of one triangle is equal to the same sides and same angles of another triangle.

It is represented as ≅.

Various methods to verify the congruence of triangles are

1. SAS: Side Angle Side

2. SSS: Side Side Side

3. ASA: Angle Side Angle

4. AAS: Angle Angle Side

So, in this question ΔACB ≅ ΔDCE (Given)

That means, ∠CDE = ∠ABC

i.e. 2x = 61

x = 61/2 = 3.5

Hence, the required answer is 3.5.

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In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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For f(1) = 0 the statement is true that (x - 1) is the factor of the function.

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given a function,

f(x) = x⁶ - x⁴ + 2x² - 2

and f(1) = 0

substitute the values,

f(x) = x⁶ - x⁴ + 2x² - 2

f(1) = 1⁶ - 1⁴ + 2(1)² - 2

f(1) = 0

so when x = 1 function is zero,

so x - 1 = 0 and (x - 1) is one of the factor of function f(x).

Hence the statement is true.

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Answer:

25. Yes, it is a function, because none of the x outputs are repeating

Step-by-step explanation:

Hey there!

25). Ans;

It is a function. [ many to one function].

26).Ans; Put all values of "x" in (2x^2+7).

a. f(x) = -2

\( f( - 2)= 2 \times { (- 2)}^{2} + 7\)

So, f(-2)= 15

b. f(x)= -1.

\(f( - 1) = 2 \times ( { - 1)}^{2} + 7\)

So, f(-1)= 9

c. f(x)= 0

\(f(0) = 2 \times ( {0)}^{2} + 7\)

So, f(0)= 7

d. f(x)= 1

\(f(1) = 2 \times {(1)}^{2} + 7\)

So, f(1)= 9

e. f(x)= 2

\(f(2) = 2 \times {(2)}^{2} + 7\)

So, f(2)= 15

f. f(x)= 3.

\(f(3) = 2 \times {(3)}^{2} + 7\)

So, f(3)= 25.

Hope it helps...

Answer:

ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE

And part 2: is No

Step-by-step explanation:

Answer:

4p + 4

Step-by-step explanation:

Original expression:

4(p + 3) - 8

Apply the distributive law:  a(b + c) = ab + ac

⇒ 4p + 12 - 8

Subtract 8 from 12:

⇒ 4p + 4

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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The probability that the sample mean will be between 8 and 14 is approximately 0.785 or 78.5%. The 15th percentile of the population is 2.57.

To find the probability that the sample mean will be between 8 and 14, we need to calculate the standard error of the mean (SEM) first. The SEM is the standard deviation of the sampling distribution of the mean, and it is given by the formula SEM = σ/√n, where σ is the population standard deviation and n is the sample size.

In this case, σ = 12 and n = 75, so SEM = 12/√75 ≈ 1.386.

Next, we need to standardize the sample mean using the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We do this by calculating the z-score for each endpoint of the interval:

z1 = (8 - 10) / 1.386 ≈ -1.441

z2 = (14 - 10) / 1.386 ≈ 2.882

We then use a standard normal distribution table or calculator to find the area under the curve between these two z-scores. Alternatively, we can use the formula for the cumulative distribution function (CDF) of the standard normal distribution:

P(-1.441 < Z < 2.882) ≈ Φ(2.882) - Φ(-1.441) ≈ 0.985 - 0.204 ≈ 0.785

So, the probability that the sample mean will be between 8 and 14 is approximately 0.785 or 78.5%.

To find the 15th percentile of the population, we use the inverse of the CDF of the standard normal distribution. That is, we find the z-score that corresponds to a cumulative probability of 0.15:

Φ(z) = 0.15

z ≈ -1.036

Finally, we use the formula for the sample mean in terms of the standard normal distribution to find the corresponding value in the original units:

X = μ + z(σ/√n)

X = 10 + (-1.036)(12/√75)

X ≈ 2.57

Therefore, the 15th percentile of the population is 2.57

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\(y - 5 = 3(x - 2)\)

Answer: 2

Step-by-step explanation:

Answer:

8 with a remander of 1

Step-by-step explanation:

The age of the oldest person that leaves the room is 36 years

The average of a data is defined as the ratio of the sum of the data to the sample size. Mathematically;

Average = sum/sample size

If the average age of a group of 8 people is 22. then;

22 = Xn/8

Xn = 22 * 8

Xn = 176

If after the oldest person leaves the room the average age decreases to 20, hence;

20 = H/7

H = 140

Xn  = H + x

176 = 140 + x

x = 176 - 140

x = 36

Hence the age of the oldest person that leaves the room is 36 years

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The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Answer:

y-1=6(x-1)

y-1=6x-6

y-6x=-6+1

y-6x=-5

y-x=-5+6

Answer:

y=6x-5

Step-by-step explanation:

y-1=6(x-1)  

(distribute 6 to x-1)

y-1=6x-6

(add 1 to both sides)

y=6x-5

The specific statistical methods and tests used may vary depending on the nature of the variables and the assumptions of the data.

If a psychologist wants to investigate the relationship between the students' test 2 scores and their blood pressure conduct a statistical analysis to determine the nature and strength of this relationship. Here's a general approach they can follow:

1.Hypothesis formulation: The psychologist needs to formulate a hypothesis about the relationship between the test 2 scores and blood pressure. For example, they might hypothesize that there is a positive correlation between the two variables, meaning that as test 2 scores increase, blood pressure also tends to increase.

2.Data collection: The psychologist samples 200 students and records their blood pressure during the final. They also note down their corresponding test 2 scores. It's important to ensure that the data collection process is standardized and accurate.

3.Data analysis: Once the data is collected, the psychologist can analyze it using statistical methods. They descriptive statistics, such as the mean, standard deviation, and range, for both the test 2 scores and blood pressure.

4.Correlation analysis: To examine the relationship between the variables, the psychologist can calculate the correlation coefficient. The most commonly used measure of correlation is the Pearson correlation coefficient (r), which ranges from -1 to +1. A positive r value indicates a positive correlation, a negative r value indicates a negative correlation, and a value close to zero suggests no or weak correlation.

5.Statistical significance testing: To determine if the observed relationship is statistically significant, the psychologist can perform a hypothesis test. The most common test for correlation is the t-test for correlation coefficients. The psychologist can calculate the p-value associated with the correlation coefficient and compare it to a predetermined significance level (e.g., 0.05). If the p-value is less than the significance level, the psychologist can reject the null hypothesis and conclude that there is a significant relationship between test 2 scores and blood pressure.

6.Effect size estimation: In addition to statistical significance, it's important to assess the practical significance or effect size of the relationship. The psychologist can calculate the coefficient of determination (r²2), which indicates the proportion of variance in one variable (blood pressure) that can be explained by the other variable (test 2 scores).

7.Interpretation: Based on the findings from the analysis, the psychologist can interpret the results and draw conclusions about the relationship between test 2 scores and blood pressure. They should consider the magnitude of the effect size, the statistical , and any limitations or potential confounding factors in their interpretation.

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Answer:

D or J = 600

Step-by-step explanation:

It's hard to explain, but yeah.

Can I have brainliest?

Answer:

Domain: All real numbers (infinite) Range: \(y \leq -4\)

Step-by-step explanation:

For the domain, the x-axis will continue to be used for the parabola, because the parabola can go on forever and can use an x- value on the x-axis. For the range, the largest number the parabola will go up to is -4. Therefore, if that is the highest point/ where the vertex is, the highest point on the y-axis is -4, resulting in the answer y can be equal to or less than -4 (y \(\leq\) -4), since the parabola will continue to go down with the reflection over the x-axis.

Answer:

Step-by-step explanation:

-4 + 2 = -2

-4 + (-2) = -6

Answer:

•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .

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30% of the eligible students voted.

It is given to us that 650 students at the high school are eligible to vote and 195 of them voted in the last election.

Now let us take the percent of students to be 'x'

x% of 650 students voted whose value is given to be 195.

So the equation can be written as

( x / 100 ) * 650 = 195

x = ( 195 * 100 ) / 650

x = 30

Therefore 30% of  the eligible students voted in the last election.

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The computation time for the out-degree of every vertex, for an adjacency-list representation of a directed graph,is equals to O(|E|+|V|).

Adjacency-list is one of the most basic and frequently used node graph representation of a network. In this representation of a directed graph, the out-degree of a vertex is simply the number of adjacent vertices in the list

The time to calculate the out-degree is straight forward. The out-degree of a vertex is defined as the number of edges pointing outwards from that vertex. Consider the following adjacency list.

1 -> 2 -> 3

2 -> 5

3 -> 4

4 -> 2 -> 3

5 -> 1

To calculate the out-degree we loop in this adjacency list and count the number of vertices in each of the lists. For example, Vertex 4 in the above list has 2 nodes in the list. Therefore outdegree of node 4 is 2. Clearly time take by this algorithm is O(|E|+|V|).

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Answer:

y = 4x - 14

Step-by-step explanation:

The equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

We can calculate the slope with the two given points.  Slope is the Rise/Run between these 2 points:

(4,2) and (6,10)

Rise:  10 - 2 = 8

Run:    6 - 4 = 2

Slope = Rise/Run = 8/2 = 4

m is 4, so we can write:  y = 4x + b

We can find b by entering either of the given points and solving for b.  I'll use (4,2):

y = 4x + b

2 = 4*(4) + b

2 = 16 + b

b = -14

The equation becomes y = 4x - 14

See the attached graph.

Answer:

(0,-4) and (12,0)

Step-by-step explanation: