Cans of soda are packaged in boxes containing the same number of cans.

There are 36 cans in 4 boxes.

a) How many cans are there in 7 boxes?

b) How many boxes are needed to package 99 cans of soda?

The margin of error (at 95% confidence level) for the poll of 263 people, with 78 in favor, is approximately 0.0550 or 0.06 rounded to the nearest hundredth.

To find the margin of error for a poll, we can use the formula:

Margin of Error = Critical Value * Standard Error

For a 95% confidence level, the critical value (z-score) is approximately 1.96. The standard error can be calculated using the formula:

Standard Error = \(\sqrt{(p * (1 - p)) / n)}\)

where p is the proportion of people in favor (78/263) and n is the sample size (263).

Let's calculate the margin of error:

p = 78/263 ≈ 0.2966

n = 263

\(Standard Error = \sqrt{(0.2966 * (1 - 0.2966)) / 263)} \\= \sqrt{(0.2075 / 263)} \\= \sqrt{(0.0007889)} \\= 0.0281\\Margin of Error = 1.96 * 0.0281\\= 0.0550\)

Therefore, the margin of error (at 95% confidence level) for the poll of 263 people, with 78 in favor, is approximately 0.0550 or 0.06 rounded to the nearest hundredth.

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Step-by-step explanation:

1. To find out how many times larger the big suitcase is than the small suitcase, we need to compare their volumes. The volume of the small suitcase is:

25 in x 8 in x 9 in = 1800 cubic inches

The volume of the large suitcase is:

75 in x 20 in x 18 in = 27,000 cubic inches

To find out how many times larger the big suitcase is, we can divide its volume by the volume of the small suitcase:

27,000 cubic inches ÷ 1800 cubic inches = 15

Therefore, the big suitcase is 15 times larger than the small suitcase.

2. To find the height of the watermelon, we need to use the formula for volume of a rectangular prism:

V = l x w x h

We know that the volume is 720 cubic inches, the length is 10 inches, and the width is 9 inches. Rearranging the formula to solve for the height, we get:

h = V ÷ (l x w)

h = 720 cubic inches ÷ (10 inches x 9 inches)

h ≈ 8 inches

Therefore, the watermelon would be about 8 inches tall.

3. To find out how many watermelons you can fit in the large suitcase, we need to divide its volume by the volume of one watermelon:

27,000 cubic inches ÷ 720 cubic inches = 37.5

However, we can't fit a decimal number of watermelons in the suitcase, so we need to round down. Therefore, the maximum number of watermelons you can bring home in the larger suitcase is 37.

Answer:

y= -x +2

Step-by-step explanation:

This is a negative slope of one because the line is going down and has a ride over run of 1/1. Then the y intercept is +2 because this line intercepts the y axis at positive 2.

hope it helps!

Answer:

y = -x +2

Step-by-step explanation:

just trust me on this

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer: there are better people out there

Step-by-step explanation:

Therefore , the solution of the given problem of rational numbers  comes out to be A) 0.75 can be written as 75/100.

Rational numbers are those that may be written as a ratios (or fraction) of 2n. A fraction with a nonzero denominator is said to be rational. A few instances of rational numbers are 1/2, 1/5, and 3/4. As a real function, "0" can also be stated in a number of different ways, such as 0/1, 0/2, etc 0/3. But 1/0, 2/0, 3/0, and so forth. The number seven makes sense. A rational number is produced when three integers are split. To get the rational number 7, divide whole 7 ps by the total number 1. Since 7 can be obtained by dividing two integers, it is referred to as a real function.

Here,

Given :

=> Any number that can be expressed as a straightforward fraction is considered rational. This is the shape of a fraction: => a/b

where the denominator is "b" and the numerator is "a". Since both are integers, b 0.

=>Simple fractions cannot be used to represent irrational values.

So,

A) 75/100 is equivalent to 0.75 rational.

B) √√3 is irrational.

C) √√√9 is irrational.

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The required equation is g+300-900-900=1300.

The value of g is 2800 pounds.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Initially, there is a mound of g pounds of gravel, then 300 pounds are added, and then two orders of 900 pounds are sold. At the end of the day, the mound has 1,300 pounds of gravel.

The equation for the given information is formed as follows:

g+300-900-900=1300

Solve the equation to find the value of g,

g+300-1800=1300

g-1500=1300

g=1300+1500

g=2800

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We can conclude that the null hypothesis is rejected. There is sufficient evidence to support the claim that the mean cost in Utah hospitals is below the national mean of $1231.

H₀: μ ≥ 1231 (The mean cost in Utah hospitals is greater than or equal to the national mean)

Hₐ: μ < 1231 (The mean cost in Utah hospitals is below the national mean)

Given

The test statistic for a one-sample t-test is given by

t = (x - μ) / (σ / √n)

Substituting we have

t = (1103 - 1231) / (252 / √25)

≈ -6.103

To determine the critical value, we need to find the critical t-value at the 5% significance level with degrees of freedom

(df) equal to (n - 1)

= (25 - 1)

= 24.

Using a t-distribution table or calculator, the critical value is approximately -1.711.

Since the calculated test statistic (-6.103) is smaller than the critical value (-1.711) and falls into the critical region, we reject the null hypothesis.

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Answer: 22.4 cm

Step-by-step explanation:

Perimeter of sector is: P = 2r + 2πr(θ/360) P = 2*10 + 2(3.14) (135/360) = 22.4 cm (rounded)

Answer: 100 miles

Step-by-step explanation:

300+3x=500+1x

subtract 1 from both sides

300+2x=500

subtract 300 from both sides

2x=200

divide 2

x=100

nice

Step-by-step explanation:

The calculated concentration of [PO43-] at equilibrium is approximately 7.28 x 10^20 M.

To determine the concentration of [PO43-] at equilibrium, we need to consider the reaction between Pb(NO3)2 and Na3PO4. The balanced equation for the reaction is:

3Pb(NO3)2 + 2Na3PO4 -> Pb3(PO4)2 + 6NaNO3

Given the initial volumes and concentrations of the solutions, we can calculate the moles of Pb(NO3)2 and Na3PO4 used in the reaction. From there, we can determine the moles of Pb3(PO4)2 formed and the resulting concentration of [PO43-] at equilibrium.

Using the volumes and concentrations provided (75 ml of 0.80 M Pb(NO3)2 and 10 ml of 0.10 M Na3PO4), we find that the moles of Pb(NO3)2 used is 0.06 mol and the moles of Na3PO4 used is 0.001 mol. Since the stoichiometric ratio between Pb3(PO4)2 and PO43- is 2:1, we can calculate that 0.03 mol of Pb3(PO4)2 is formed.

To determine the concentration of [PO43-] at equilibrium, we divide the moles of Pb3(PO4)2 formed by the total volume of the solution (85 ml), resulting in a concentration of approximately 7.28 x 10^20 M.

Therefore, at equilibrium, the concentration of [PO43-] is approximately 7.28 x 10^20 M. This value is obtained by considering the stoichiometry of the reaction and the initial concentrations and volumes of the solutions.

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Answer:

5.14

Step-by-step explanation:

The similarity ratio is 4/7 we can write an equation to find x

4/7 = 9/x cross multiply

7x = 36 divide both sides by 7

x = 5.14 approximately

Answer:

The answer is B

Step-by-step explanation:

5.14 hope this helps. :)

Answer:

14

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of minutes by the length of a half-life. 34÷17=22 half-lives have passed. Now figure out how much praseodymium will be left after 2 half-lives have passed. Multiply the starting amount of praseodymium by 12 a total of 2 times. 56 x 1/2 x 1/2 = 14 That calculation could also be written with exponents:56x (1/2)^2=14 After 2 half-lives, the amount of praseodymium left will be 14 grams.

Assuming the half-life of a radioactive kind of praseodymium is 17 minutes.The amount that will be left after 34 minutes is 14g.

Since 34 minutes is exactly 2 half-lives of 17 minutes.

Hence, remaining amount will then be:
Remaining amount= (1/2)×(1/2) = (1/2)² of the initial amount

Final amount:

Final amount = (1/2)² (56g)

Final amount=0.25 (56g)

Final amount = 14 g

Inconclusion  the half-life of a radioactive kind of praseodymium is 17 minutes.The amount that will be left after 34 minutes is 14g.

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Answer:

56

Step-by-step explanation:

The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).

The sum of a triangles' angles is 180 degrees.

Therefore 4v-44 = 180.

v - 11 = 45

v = 56 degrees

Note: always check if the answer makes sense

Answer:

56 degrees

Step-by-step explanation:

Answer:

f(x) and g(x) are the quadratic functions that open UP.

The value of R2 always lies between 0 and 1.The value of R2 represents the proportion of the variation in the dependent variable that can be explained by the independent variables, ranging from 0 to 1.

The value of R2, also known as the coefficient of determination, measures the goodness of fit of a regression model. It represents the proportion of the total variation in the dependent variable that is explained by the independent variables in the model.

R2 ranges between 0 and 1, where 0 indicates that the independent variables have no explanatory power and cannot predict the dependent variable's variation. On the other hand, an R2 value of 1 indicates that the independent variables perfectly explain all the variation in the dependent variable.

An R2 value greater than 1 or less than 0 is not possible because it would imply that the model explains more than 100% or less than 0% of the dependent variable's variation, which is not meaningful. Therefore, the value of R2 always lies between 0 and 1, providing a measure of the model's explanatory power.

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Answer:

1306.90≅  1307 rounded to the nearest tens

Step-by-step explanation:

r= radius = 13 cm

l is the slant height =19 cm

surface area of the cone= area of the circle + area of the curved of the cone

SA=πrl +πr²

SA=π(13)(19) +169π

SA= 247π +169π= 416π=1306.90≅  1307 rounded to the nearest tens

The decryption of ciphertext "gbshbjuhbwxhzhxwhu"
The function f: Z26→Z26 is defined as f(x) = 3x5−9x3−5x+1(mod 26).The decryption is calculated as f−1(y)=(7y+15)(−3)(mod26)Step-by-step solution: Using the formula for decryption:
f-1(y) = (7y+15)(-3)(mod 26)
Calculating the decryption:
=> f-1(g) = (7 * 6 + 15) * (-3) = -159= -159 + 4 * 26 = 49
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6=> f-1(s) = (7 * 18 + 15) * (-3) = -333= -333 + 13 * 26 = 55
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(j) = (7 * 9 + 15) * (-3) = -198= -198 + 8 * 26 = 10
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(b) = (7 * 1 + 15) * (-3) = -72= -72 + 3 * 26 = 6
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(x) = (7 * 23 + 15) * (-3) = -561= -561 + 22 * 26 = 39
=> f-1(w) = (7 * 22 + 15) * (-3) = -534= -534 + 20 * 26 = 46
=> f-1(h) = (7 * 7 + 15) * (-3) = -138= -138 + 6 * 26 = 24
=> f-1(u) = (7 * 20 + 15) * (-3) = -483= -483 + 18 * 26 = 15
Decrypted text: gbshbjuhbwxhzhxwhu → gszwjeitjpkotixibq

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Answer:

254.47

Step-by-step explanation:

A=πr2=π·92≈254.469

Answer:

THE ANSWER IS D :)

Step-by-step explanation:

Answer:

-340

Step-by-step explanation:

Hey there!

1 + 2 - 5 * 67 - 8

= 3 - 5 * 67 - 8

= 3 - 335 - 8

= -332 - 8

= -340

Therefore, your answer is: -340

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

True. The solution interval to 2sinx < -3cosx on the interval [-π, π] is [-3.142, -0.983) ∪ (2.159, 6.283].

To solve the inequality 2sinx < -3cosx, we can divide both sides by cosx (since cosx ≠ 0 for x ∈ [-π, π]), which gives:

2tanx < -3

Dividing both sides by 2 and taking the arctangent of both sides, we have:

x < arctan(-3/2)

Using a calculator, we can find that arctan(-3/2) ≈ -0.983 radians and arctan(-3/2) + π ≈ 2.159 radians.

Therefore, the solution interval to 2sinx < -3cosx on the interval [-π, π] is given by:

[-3.142, -0.983) ∪ (2.159, 6.283].

This is true, as it corresponds to the values of x for which 2sinx < -3cosx is satisfied on the given interval.

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The complete question is below:

The solution interval to 2sinx <- 3cosx ; [- π, π] is

[- 3.142, - 0.983) ∪ (2.159, 6.283].

If true, justify. If false, justify.

Using the change of base formula the evaluated value of \(log_{3} 33\)  is 3.184

Change of base formula is used to change the base of logarithm. It is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm.

According to the change of base formula :

\(log_{a} b = \frac{log_{x} b}{log_{x} a}\)      

where base x is base 10

According to the question, we have to find the value of \(log_{3} 33\)

Thus applying change of base formula we get

  \(log_{3} 33 = \frac{log_{10} 33}{log_{10} 3}\)

calculating the value of log from the calculator we get,

    \(log_{3} 33 = \frac{1.519}{0.477}\\log_{3} 33 = 3.184\)  

Thus using the change of base formula the evaluated value of \(log_{3} 33\) is 3.184

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One possible function that is a 3-to-1 correspondence from the set {1, 2, ..., 30} to {1, 2, ..., 10} is f(x) = ⌈x/3⌉.where ⌈x/3⌉ denotes the ceiling function of x/3, which rounds up x/3 to the nearest integer.

Intuitively, the function groups every three consecutive integers in the domain {1, 2, ..., 30} into the same integer in the range {1, 2, ..., 10}.

Specifically, the first three integers 1, 2, 3 in the domain map to 1 in the range, the next three integers 4, 5, 6 map to 2, and so on, until the last three integers 28, 29, 30 map to 10.

To see that this function is indeed a 3-to-1 correspondence, we can note that for any integer k in the range {1, 2, ..., 10}, there are three integers in the domain that map to it.

Specifically, if k = 1, then the integers 1, 2, 3 in the domain map to it; if k = 2, then the integers 4, 5, 6 map to it; and so on, until if k = 10, then the integers 28, 29, 30 map to it.

Conversely, for any integer x in the domain {1, 2, ..., 30}, the function f(x) maps it to an integer in the range {1, 2, ..., 10}, and this integer is unique. Therefore, the function f is a 3-to-1 correspondence from the domain to the range.

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The equations to represent each girl's shoppins spree is 3x + y = 38.0 and 4x + 3y = 71.50. Price of one shirt costs $8.50 and price of one pair of shorts costs $12.50.

Let x be the price of one shirt, and y be the price of one pair of shorts. Then, we can write the following system of equations

For Jazmin

3x + y = 38.0

For Justine

4x + 3y = 71.50

To solve for the price of one pair of shorts using elimination method, we need to eliminate one of the variables. We can do this by multiplying the first equation by 3 and the second equation by -1, and then adding them together

9x + 3y = 114.0

-4x - 3y = -71.50

5x = 42.50

x = 8.50

So, one shirt costs $8.50.

To find the price of one pair of shorts, we can substitute the value of x into either of the original equations and solve for y. Using the first equation

3(8.50) + y = 38.0

25.50 + y = 38.0

y = 12.50

Therefore, one pair of shorts costs $12.50.

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Answer:

x=3

Step-by-step explanation:

please mark me as brainliest

Answer:

x = 2

Step-by-step explanation:

first we solve inside brackets (x-5) = 20 so it be -12 = 4x -20

then we add 20 to both sides so it be -12 + 20 = 4x -20 +20

then we simplify so it be 8 = 4x

then we divide both sides with 4 so it be 8/4 = 4x/4

then we simplify so it be x=2

SO THE ANSWER IS x=2 OR 2

hope that helps!! pls brainliey if u dont mind! :))

Answer:

A) y = 13x

B) Slope is 13, intercept is 0

Step-by-step explanation:

Answer:

y = 13x

The slope is 13

The y intercept is 0

Step-by-step explanation:

Since he gets $13 per hour, his pay can be represented by 13x, as x is the number of hours.

To create the equation, set this equal to y, as it represents his total pay.

So, the equation is y = 13x.

Using the equation y = mx + b, we can find the slope (m) and the y intercept (b)

Since this equation has 13 as the coefficient, the slope is 13. There is also no b value since nothing is being added to 13x, so the y intercept is 0.

To find the probability distribution of the random variable Y = X^2 + 1, where X is a binomial random variable with parameters n and p = 1/4, we need to determine the probability mass function (PMF) of Y.

The PMF gives the probability of each possible value of the random variable. In this case, Y can take on values of 1, 2, 5, 10, and so on, depending on the values of X. Let's calculate the PMF for Y: P(Y = y) = P(X^2 + 1 = y) = P(X^2 = y - 1). Since X is a binomial random variable, its possible values are 0, 1, 2, ..., n. Therefore, we need to find the values of X that satisfy the equation X^2 = y - 1.

For each value of y, we can find the corresponding values of X and calculate the probability of X taking on those values using the binomial probability formula: P(X = r) = C(n, r) * p^r * (1 - p)^(n - r) where C(n, r) is the binomial coefficient given by C(n, r) = n! / (r! * (n - r)!). Let's calculate the PMF for each possible value of Y: For y = 1: P(Y = 1) = P(X^2 = 1 - 1) = P(X^2 = 0). The only value of X that satisfies X^2 = 0 is X = 0. P(X = 0) = C(n, 0) * p^0 * (1 - p)^(n - 0) = (1 - p)^n. For y = 2: P(Y = 2) = P(X^2 = 2 - 1) = P(X^2 = 1). The values of X that satisfy X^2 = 1 are X = -1 and X = 1. P(X = -1) = C(n, -1) * p^(-1) * (1 - p)^(n - (-1)) = 0 (since n cannot be negative), P(X = 1) = C(n, 1) * p^1 * (1 - p)^(n - 1) = n * p * (1 - p)^(n - 1). For y = 5: P(Y = 5) = P(X^2 = 5 - 1) = P(X^2 = 4).

The values of X that satisfy X^2 = 4 are X = -2 and X = 2. P(X = -2) = C(n, -2) * p^(-2) * (1 - p)^(n - (-2)) = 0 (since n cannot be negative), P(X = 2) = C(n, 2) * p^2 * (1 - p)^(n - 2). Similarly, you can continue this process for other values of y. Please provide the value of n (the number of trials) to calculate the specific probabilities for each value of Y.

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Answer:

180 ft cubed.

Step-by-step explanation:

The formula for volume is V = lwh

6 is the height, 10 is the length, and 3 is the width.

So then you would multiply 6, 10 and 3, which equals 180.