At grocery mart,apples are on sale 6 apples for $3.54. find the unit cost?​

4 and 1/4

Step-by-step explanation:

okay uh you turn the half into 2 fourths and add to get 3 5/4 then simplify and get 4 1/4

The lengths of the legs are 5 and 12.

Let ' a ' represent the length of the right triangle's shorter leg.

Other leg length equals a + 7

The hypotenuse must be at least 13 cm long.

a² + (a + 7)² = 132

a² + a² + 49 + 14a = 132

a² + 7a − 60 = 0

The equation's roots are a=5 and a=12.

Given that length is positive, a=5 is a valid root.

Thus, the two legs of the supplied right triangle are 5 and 12.

⇒ 5² + 12²

  = 25 + 144 = 169 which equals 13²

Therefore, the lengths of the legs are 5 and 12.

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Answer:

The length of legs are 12 and 5 .

Given that,

In a right angled triangle,

Hypotenuse= 13cm

One leg of a right triangle is 7 cm less than the length of the other leg.

Let,

One side of the triangle is x.

And the other side of the triangle is x-7.

As we know,

A/q pythagoras theorem, the square of the hypotenuse is equal to the other sides of the right angled triangle.

h²= p² + b²

So,

(x)² + (x-7)² = 13² (Pythagoras theorem)

x² + x² - 14x + 49 = 169 {(a-b)² expansion}

2x² - 14x + 49 = 169

2x² - 14x = 169 - 49

2x² - 14x = 120

2(x² - 7x) = 120

x² - 7x = 120/2

x² - 7x - 60= 0

x² + 5x - 12x - 60 = 0

x(x+5) - 12(x+5)= 0

(x+5) (x-12)= 0

Now,

x+5 = 0

x = -5 ( not considered because value is negative)

And,

x- 12 = 0

x= 12

If x is equal to 12, then x-7 equals to

12-7 = 5

Both sides are 12 and 5.

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With a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

What is a confidence interval?

An area surrounding a measurement that indicates how accurate it is called a confidence interval.

Here, we have

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means the probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 14

x = 6

p = 6/14 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail.

Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 2.05. Thus, Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval is

0.42 ± 1.96√(0.58)(0.42)/14

The lower limit of the confidence interval is

0.42 - 0.25 = 0.17

The upper limit of the confidence interval is

0.42 + 0.25 = 0.67

Hence, with a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.

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The expression 4^3/2 is equal to 32 in exponentiation operation and  4√2 in division operation.

If the exponentiation operation (4^3) is performed before the division operation (/2), then the expression can be written as:

4^3/2 = (4^3) / 2

= (4 × 4 × 4) / 2

= 64 / 2

= 32

If the division operation (/2) is performed before the exponentiation operation (4^3), then the expression can be written as:

4^3/2 = 4^(3/2)

= 4^(1.5)

= 2 × 2 × 2^(0.5)

= 2 × 2 × √2

= 4√2

It's important to note that when dealing with expressions involving exponents, the order of operations matters and can significantly affect the resulting value.

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\( {x}^{3} - 5 {x}^{2} + 3x + 9 = 0\)

\( = x_{(1.2.3)} = ( - 1.3.3)\)

Answer:

0

Step-by-step explanation:

The value of the algebraic expressions is 59.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Algebraic expression is, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

5(7-4)^2 + 3 + 11

Then we have to solve it with bodmas rule.

Then

5(7-4)^2 + 3 + 11

Firstly solve the bracket

5(3)^2 + 3 + 11

Then multiply the terms

5*9 + 3 + 11

Then add the terms

45+14

59.

So, The value of the algebraic expressions is 59.

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The vertex of the given quadratic function is (-6,-256), the axis of symmetry is x=-6, the domain is (-∞,∞) and the range is (-∞,-256].

The vertex of the given quadratic function is (-6,-256).

(b) The axis of symmetry is the vertical line through the vertex. Thus, the axis of symmetry is x=-6.

(c) The domain of any quadratic function is all real numbers. So, the domain of the given function is (-∞,∞).(d) The range of the given quadratic function is (-∞,-256].The given quadratic function isf(x) = -4x² - 48x - 128.We can determine the vertex, axis, domain, and range of the given quadratic function by plotting the graph of the function. We can use the standard form of the quadratic function,

f(x) = ax² + bx + c to find the vertex.

To find the vertex of the given quadratic function, we can use the formula, x = -b/2a. On substituting the given values, we get;x = -(-48)/2(-4) = -48/(-8) = 6

So, the x-coordinate of the vertex is 6. We can find the y-coordinate by substituting x=6 in the given function.

f(6) = -4(6)² - 48(6) - 128

= -4(36) - 288 - 128

= -144 - 288 - 128

= -560

Thus, the vertex is (-6,-256).The axis of symmetry is the vertical line through the vertex. Thus, the axis of symmetry is x=-6.The domain of any quadratic function is all real numbers. So, the domain of the given function is (-∞,∞).The range of the given quadratic function is (-∞,-256].

We can use the graphing tool to graph the given function. Below is the graph of the given quadratic function: Therefore, the vertex of the given quadratic function is (-6,-256), the axis of symmetry is x=-6, the domain is (-∞,∞) and the range is (-∞,-256].

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

1. Convert both mixed numbers into improper fractions:

\(\frac{15}{4} x = \frac{5}{4}\)

2. Multiply both sides by 4:

4 · \(\frac{15}{4} x=\frac{5}{4}\) · 4

15x = 5

3. Isolate x:

x = 1/3

hope this helps!

The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

What is an angle?

An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.

Consider POR as a triangle.

Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.

In triangle the sum of the angle is 180°, then

m∠p + m∠q +m∠r =180°

⇒5x-14+x-5+2x-9 = 180°

⇒8x-28=180°

⇒x=26°

then, m∠p=5x-14 = 5(26)-14 = 116°

m∠q=x-5 = 26-5=21°

m∠r=2x-9 = 2(26)-9=43°

Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

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Answer:

yes i took this test thats correct ! brainliest please :)

Step-by-step explanation:

Step-by-step explanation:

no broh it will be:

m∠EFG=m∠FEH

By Alternate interior  

The probability of getting at least 10 successes out of 15 trials with a probability of success of 0.38 is: 0.6029.

To solve this problem, we can use the binomial probability formula which is:

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

where n is the number of trials, p is the probability of success, X is the random variable representing the number of successes, and k is the number of successes.

In this case, we're given n = 15 and p = 0.38. The probability of getting at least a certain number of successes can be found by summing the probabilities of getting that number of successes or more. So, we need to calculate the following probabilities:

P(X ≥ 10) = P(X = 10) + P(X = 11) + P(X = 12) + ... + P(X = 15)

To find these probabilities, we can use the binomial probability formula for each value of k and sum them up. Alternatively, we can use a calculator or software that has a binomial probability distribution function.

Using a calculator or software, we can determine that the probabilities are as follows:

P(X = 10) = 0.1946

P(X = 11) = 0.1775

P(X = 12) = 0.1263

P(X = 13) = 0.0703

P(X = 14) = 0.0278

P(X = 15) = 0.0065

Therefore, the probability of getting at least 10 successes out of 15 trials with a probability of success of 0.38 is:

P(X ≥ 10) = 0.1946 + 0.1775 + 0.1263 + 0.0703 + 0.0278 + 0.0065 = 0.6029 (rounded to four decimal places)

So, the answer is 0.6029.

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Answer:

NP=28

Step-by-step explanation:

20/35=x/49

cross multiply

35x=20x49

35x=980

x-980/35

x=28

The coefficient of determination (R²) for the fitted least squares line is 0.75.

To fit the least squares line through the given points and find the coefficient of determination (R²), we can follow these steps:

Let's perform these calculations:

Step 1: Calculate the mean values of x and y.

x' = (1 + 2 + 3) / 3 = 2

y' = (1 + 1 + 3) / 3 = 5/3 ≈ 1.6667

Step 2: Calculate the sums of squares: SSxx, SSyy, and SSxy.

SSxx = Σ((xi - x')²) = (1 - 2)² + (2 - 2)² + (3 - 2)² = 2

SSyy = Σ((yi - y')²) = (1 - 5/3)² + (1 - 5/3)² + (3 - 5/3)² = 8/3 ≈ 2.6667

SSxy = Σ((xi - x')(yi - y')) = (1 - 2)(1 - 5/3) + (2 - 2)(1 - 5/3) + (3 - 2)(3 - 5/3) = 4/3 ≈ 1.3333

Step 3: Calculate the slope (m) and y-intercept (b) of the least squares line.

m = SSxy / SSxx = 1.3333 / 2 = 2/3 ≈ 0.6667

b = y' - mx' = 5/3 - (2/3)(2) = 5/3 - 4/3 = 1/3 ≈ 0.3333

Therefore, the equation of the least squares line is y = 0.6667x + 0.3333.

Step 4: Calculate the predicted y-values (y_pred) using the least squares line equation.

For (1, 1):

y_pred = 0.6667 × 1 + 0.3333 = 0.6667 + 0.3333 = 1

For (2, 1):

y_pred = 0.6667 × 2 + 0.3333 = 1.3334 + 0.3333 ≈ 1.6667

For (3, 3):

y_pred = 0.6667 × 3 + 0.3333 = 2 + 0.3333 ≈ 2.3333

The predicted y-values are (1, 1), (2, 1.6667), and (3, 2.3333).

Step 5: Calculate the residual sum of squares (RSS) and the total sum of squares (TSS).

RSS = Σ((yi - y_pred)²) = (1 - 1)² + (1 - 1.6667)² + (3 - 2.3333)² ≈ 0.6667

TSS = SSyy = 8/3 ≈ 2.6667

Step 6: Calculate the coefficient of determination (R²) using the formula: R² = 1 - (RSS / TSS).

R² = 1 - (0.6667 / 2.6667) = 1 - 0.25 = 0.75

Therefore, the coefficient of determination (R²) for the fitted least squares line is 0.75.

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Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

\(\frac{5x}{6} = 20\\5x = 120\\x = 24\)

Answer:

4

Step-by-step explanation:

4-0=4

Answer:

4 left

Step-by-step explanation:

then you have 4 apples

Answer:

-6/23

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-10-(-4))/(11-(-12))

m=(-10+4)/(11+12)

m=-6/23

If you're satisfied with the answer, then please mark me as Brainliest.

Step-by-step explanation:

1)x=10/2=5

x=5

2)x=27/3=9

x=9

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

(2a-7)(2a-7) can be expanded using the FOIL method (First, Outer, Inner, Last):

Step-by-step explanation:

First: (2a)(2a) = 4a^2

Outer: (2a)(-7) = -14a

Inner: (-7)(2a) = -14a

Last: (-7)(-7) = 49

Combining these terms, we have:

(2a-7)(2a-7) = 4a^2 - 14a - 14a + 49

Simplifying further:

= 4a^2 - 28a + 49

Answer:

4a² - 28a + 49

Step-by-step explanation:

Either use FOIL or (a + b)² = a² + 2ab + b²

Using FOIL:

(2a - 7)(2a - 7) = 4a² - 14a - 14a + 49 = 4a² - 28a + 49

Using (a + b)² = a² + 2ab + b²:

(2a - 7)(2a - 7) = (2a - 7)² = 4a² - 28a + 49

The value of BA = 11.2

Here we use the condition CB/BA = DE/EF to determine the Length of BA

Substitute the lengthS of each side as per the given figure and solve the condition for the Length of the side BA.

Given that CB/BA = DE/EF

From the given figure,

CB = 7, DE = 5, and EF = 8  

Substitute the above values in the given condition

=> 7 /BA = 5 /8

Do cross multiplication

=> BA(5) = 7(8)

=> 5BA = 56

=> BA = 11.2

Therefore,

The value of BA = 11.2    

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the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%

The problem of calculating the probability of a certain pattern of birthdays among a group of people can be approached using the techniques of combinatorics and probability. To calculate the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people, we can use the following steps: First, we need to choose which 4 months will have exactly 2 birthdays and which 4 months will have exactly 3 birthdays. There are 12 months to choose from, so the number of ways to make these choices is given by the binomial coefficient: C(12, 4) × C(8, 4). This is the number of ways to choose 4 months out of 12 to have exactly 2 birthdays, multiplied by the number of ways to choose 4 months out of the remaining 8 to have exactly 3 birthdays. Next, we need to assign the people to the months. To do this, we can use the principle of inclusion-exclusion, which states that the number of ways to assign the people to the months so that each of the chosen months has the correct number of birthdays is: N = (20!/(2!²× 3!⁴)) × (4¹² - 6 × 3¹² + 4 × 2¹²). This expression counts the number of ways to distribute the 20 people among the 12 months so that the chosen months have the correct number of birthdays, and subtracts the cases where one or more of the chosen months have too many or too few birthdays. The factor (20!/(2!⁸ × 3!⁴)) accounts for the fact that we are counting distinguishable arrangements of people. Finally, we can calculate the probability of the desired pattern of birthdays by dividing the number of favorable outcomes (N) by the total number of possible outcomes, which is simply the total number of ways to assign the people to the months, given by: 12²⁰. Putting it all together, we get: P(4 months with 2 birthdays, 4 months with 3 birthdays) = N / 12²⁰. Evaluating this expression gives: P(4 months with 2 birthdays, 4 months with 3 birthdays) ≈ 0.000008. Therefore, the probability of having 4 months containing exactly 2 birthdays and 4 months containing exactly 3 birthdays among 20 people is approximately 0.000008, or about 0.0008%.

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Answer:

y intercept= 12

x intercept = 4

Step-by-step explanation:

It is just one interception because the equation is linear

The function to show how quickly the weeds grow each day is "f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily. Option B

f(x) = 4(1.15)x = 4(1+ 0.15)x ................... (1)

Given that there are seven days in a week, the daily growth rate of the weeds may be estimated using equation (1) by dividing 0.15 (which stands for the 15% weekly growth rate) in the following manner:

f(x) = 4(1.15)x = 4(1+ 0.15/7)x

f(x) = 4(1 + 0.02)x

f(x) = 4(1.02)x

Since 0.02 is the same as 2%, this implies that the rate at which the weeds grow each day is 2%.

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No, the triangle is not a right triangle.

To determine whether the triangle is a right triangle, we must use the Pythagorean Theorem. The Pythagorean Theorem states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. In this case, the two shorter sides are 34 and 10, and the hypotenuse is 36.

We can calculate this by squaring the two shorter sides and adding them together, then comparing the result to the square of the hypotenuse.

34² + 10² = 1,156 + 100 = 1,256

36² = 1,296

Since 1,256 is not equal to 1,296, the triangle is not a right triangle.

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Answer: It has 13 sides

Step-by-step explanation:

Answer: its most likely p to the power of 6 :)

Step-by-step explanation:

Answer:

The answer for (p^3)^2 is p^6

Step-by-step explanation:

Hope this helps!

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