A study looked at the prices that several grocery stores charged for the same 15-ounce can of tomato sauce. The prices ranged from $0.90 to
$1.00. The mean price and the median price were both $0.98.
How many of the cans in the study could have cost exactly $0.98? Select all the possibilities.

A. 1
B. 2
C. All of the cans
D. None of the cans

The recursive formula is f(n+1)= f(n)-5.

Given sequence :

f(1)= 6, n≥1.

Let f(n) denote the nth term of the given sequence.

f(1)= 6

f(2)= 1 = f(1)-5

f(3)= -4 = 1-5= f(2) -5

f(4)= -9 = 1-10 = f(2)-10

and so on

Hence, the recursive formula is f(n+1)= f(n)-5.

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The mean of X1 + X2 is 5, and the variance is 9. The mean of 3X1 + 4X2 is 18, and the variance is 52.

The mean of X1 + X2 is simply the sum of the means of X1 and X2, which is 2 + 3 = 5, since the two random variables are independent.

To find the variance of X1 + X2, we can use the fact that the variance of a sum of independent random variables is equal to the sum of their variances. Thus, Var(X1 + X2) = Var(X1) + Var(X2) = 4 + 5 = 9.

For 3X1 + 4X2, we can use the linearity of expectation to find the mean: E(3X1 + 4X2) = 3E(X1) + 4E(X2) = 3(2) + 4(3) = 18.

To find the variance of 3X1 + 4X2, we can use the fact that Var(aX) = a^2Var(X) for any constant a and random variable X. Thus, Var(3X1 + 4X2) = 3^2Var(X1) + 4^2Var(X2) = 9(4) + 16(5) = 52.

Therefore, the mean and variance of X1 + X2 are 5 and 9, respectively, while the mean and variance of 3X1 + 4X2 are 18 and 52, respectively

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The graph is a function as it passes the vertical-line test. The domain of the function is all real numbers, while the range is from negative infinity to 5 (excluding 5). The intercepts of the function are (10,0), (-10,0), and (0,5).

To determine whether the graph is a function, we use the vertical-line test. If every vertical line intersects the graph at most once, then the graph represents a function.

(a) Since the graph passes the vertical-line test, it is a function. The domain of the function is all real numbers since there are no restrictions on the x-values. The range is from negative infinity to 5, including negative infinity but excluding 5. In interval notation, the domain is (-∞, ∞) and the range is (-∞, 5).

(b) The intercepts of the function are the points where the graph intersects the x-axis and y-axis. From the graph, we can identify the intercepts as (10,0), (-10,0), and (0,5).

(c) The graph does not exhibit any symmetry with respect to the x-axis, y-axis, or the origin.

Therefore, the graph is a function with a domain of all real numbers, a range from negative infinity to 5, and intercepts at (10,0), (-10,0), and (0,5)

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Answer:

Sightseeing

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First you write out your inequality:

\(2b-7\geq -14+2b\)

So first we will subtract 2b on both sides:

\(-7\geq -14\)

Since they both canceled out each other we are now left with \(-7\geq -14\)

So anyways let's add 7 to both sides:

\(0\geq -7\)

I know this might be confusing but the answer is all real numbers.

Tip: Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational numbers.

The two linear equations are parallel lines

parallel lines are straight line that never intersects or meet each other.

some features of parallel lines include

In the problem, x = 1 and x = -8 are both vertical lines. In a cartesian coordinate x = 1 is in the positive coordinate and x = -8 is in the negative coordinate

The slope of both lines are zero

The equal distance apart is calculated as

| -8 - 1 | = 9 units

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Answer:

21 and 30

Step-by-step explanation:

x + y = 51

x - y = 9

add the two equations and y's will cancel out

2x = 42  divide by 2

x = 21   so put 21 in for x in the top equation and solve

21 + y = 51

y = 30

The percent error in the measurement is approximately 5.7% whose garden's width is 55.25.

Percent error is a measure of the accuracy of a measurement, comparing the measured value to the actual value. It is calculated as the absolute difference between the measured value and the actual value, divided by the actual value, and then multiplied by 100 to express the result as a percentage.

To find the percent error, we need to compare the measured value to the actual value, and express the difference as a percentage of the actual value.

Measured value = 55.25 meters

Actual value = 52.25 meters

Step 1: Find the difference between the measured value and the actual value:

Difference = Measured value - Actual value

Difference = 55.25 - 52.25

Difference = 3

Step 2: Calculate the absolute value of the difference:

|Difference| = |Measured value - Actual value|

|Difference| = |55.25 - 52.25|

|Difference| = 3

Step 3: Calculate the percent error:

Percent error = |Difference| / Actual value x 100%

Percent error = 3 / 52.25 x 100%

Percent error = 5.74%

Therefore, the percent error in the measurement is approximately 5.7%.

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Answer:

last one

Step-by-step explanation:

Brainliest please

Answer:

C) cold and snowy

Step-by-step explanation:

The temperature is 48C to 82F which is on the hot side

but the low temperature is 9 degrees so that explains there will be snow anything below 19 degrees is snow and cold windy air

Sorry if I am wrong! :(

Answer:

3700 m.

Step-by-step explanation:

3.7km= 3.7* 1000

3.7 km = 3700 m

Based on the number of pounds of butter that Hall has and the number of cups needed per fasnachts, the number of fasnachts Hall will be able to make is 36 fasnachts

First, find out the number of cups of butter than Hall has:

= 9 pounds x 2 cups per pound

= 18 cups

Then, find out the number of 3/4 cups in this amount of butter:
= 18 cups / 3/4

= 18 x 4/3

= 24 cups

The number of fasnachts that Hall can make are:

= 24 x 1.5 frozen fasnachts per cup

= 36 fasnachts

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No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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The equation of the parabola is y = 2(x - 1)² + 3

From the question, we have the following parameters that can be used in our computation:

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

Substitute the known values in the above equation, so, we have the following representation

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

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The parents must set aside $57,210.9656 as initial investment , at 5% compounded semiannually to meet their financial goal when the child is 18.

Parents wish to have $120,000 available for a child's education.

The child is 3 years old now.

We need to find how much money must be set aside at 5% compounded semiannually to meet the final goal when the child is 18.

: The compound interest formula: A = p*(1+r/n)^nt; where

A = Accumulated amt after t time

P = Initial amt

r = rate of interest in decimal form

n = number of time compounded each year

t = 15 yrs;

We need to find the initial investment, P

P * (1 + .05/2)^(2*15) = 120000

P * (1.025^30) = 120000

P * 2.0975 = 120000

p = 120000/2.0975

P = $57,210.9656 is the investment required

Therefore, They must set aside  $57,210.9656 to meet their financial goal when the child is 18

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Answer:

\(n = 3\)

Step-by-step explanation:

\( {p}^{3} {q}^{2} ( \frac{ {p}^{4} {q}^{n} {r}^{3} }{ {r}^{ - 4} } ) = {p}^{7 } {q}^{5} {r}^{7} \\ {p}^{7} {q}^{2 + n} {r}^{7} = {p}^{7} {q}^{5} {r}^{7} \\ {q}^{2 + n} = {q}^{5} \\ 2 + n = 5 \\ n = 5 - 2 \\ n = 3 \)

Answer:

108

Step-by-step explanation:

x is the maximal length of the longest consecutive sequence of heads in n coin flips. This value can range from 1 to n, depending on the outcome of the coin flips.

To find the value of x in this scenario, we need to look for the longest consecutive sequence of heads in a set of n coin flips.

For the first example, x(ht t h) = 1, the longest consecutive sequence of heads is only one, so x = 1.

For the second example, x(hht hh) = 2, the longest consecutive sequence of heads is two, so x = 2.

For the third example, x(hhh) = 3, the longest consecutive sequence of heads is three, so x = 3.

For the fourth example, x(t hhht), the longest consecutive sequence of heads is two, so x = 2.

In general, we can say that x is the maximal length of the longest consecutive sequence of heads in n coin flips. This value can range from 1 to n, depending on the outcome of the coin flips.

In order to calculate the probability distribution of x, we would need to use a combination of probability theory and combinatorics. Specifically, we would need to calculate the probability of each possible outcome (i.e. the probability of getting 1 consecutive head, 2 consecutive heads, etc.) and then add them up to get the total probability distribution.

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Answer:

y > 7x

Step-by-step explanation:

(5xy)/7        [5 x y over 7]

["what value of y would make a product greater than 5 ?​"] can be written as:

(5xy)/7 > 5

Rearrange to find y:  

 (5xy)/7 > 5

  (5xy) > 35

   y > 35/5x

y > 7x

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Answer:

Find the vector that translate A (-2, 7) to A’ (6, 4) is <8,-3>

Step-by-step explanation:

A (x,y) -> A' (x+p , y+q)

x = -2

-2 + p = 6        p = 8

7 + q = 4          q = -3

Answer:

if x=0 then they have same value

1st and 2nd options are out

for x=-1

g(-1)=1

h(-1)=-1

3rd is true

4th

false

for all values except zero, g(x)>h(x)

correct ones are

ANSWER: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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Step-by-step explanation:

volume of a cylinder =xr^2h

756=22/7×6^2h

756=22/7×36h

756=113.142h

756/113.14=h

h=6.7cm

Answer:

20, 7, 5

Step-by-step explanation:

Range-20, range=most

Mode-7, mode=22-15

Most-5

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Answer:

9:17

Step-by-step explanation:

Answer: 9:17 am

Step-by-step explanation: I added all the minutes together and got 77 minutes. Then I simplified the 77 minutes into an hour and 17 minutes. Then I added the 1hour and 17minutes to 8:00 am.

The scatterplot matrix and correlation matrix, you can identify covariates that appear to be strongly correlated to each other. Strong correlations are typically indicated by scatterplots showing a clear linear or nonlinear relationship and correlation coefficients close to -1 or 1.

To produce a scatterplot matrix and correlation matrix of the predictor variables, I would need access to the seatpos data mentioned in Question 1. Since I don't have access to specific data or the ability to produce visualizations directly, I can provide you with general guidance on how to analyze the existence of correlations between predictors.

To create a scatterplot matrix, you can plot each pair of predictor variables against each other on a grid of scatterplots. Each scatterplot represents the relationship between two variables, allowing you to visually assess any patterns or correlations.

Additionally, you can calculate a correlation matrix to quantify the strength and direction of the relationships between the predictor variables. The correlation coefficient ranges from -1 to 1, where values close to -1 indicate a strong negative correlation, values close to 1 indicate a strong positive correlation, and values close to 0 indicate little to no correlation.

By examining the scatterplot matrix and correlation matrix, you can identify covariates that appear to be strongly correlated to each other. Strong correlations are typically indicated by scatterplots showing a clear linear or nonlinear relationship and correlation coefficients close to -1 or 1.

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