Suppose that 24 inches of wire costs 72. At the same rate, how much (in cents) will 49 inches of wire cost?

Answer: The correct answer is B]

Mark me as a brainliest.

Step-by-step explanation:

The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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The margin of error for the 95% confidence interval used to estimate the population proportion is 0.0680. So, the correct answer is option d.

Calculate the sample proportion:

The formula (p) = x/n, where x is the sample size (163) and n is the number of successes (96), yields the sample proportion.

Therefore, the sample proportion is 96/163 = 0.5896.

Calculate the standard error:

The formula SE(p) yields the sample proportion's standard error = √[p(1-p)/n], where n is the sample size, and p is the sample proportion.

Consequently, the sample proportion's standard error is as follows:

SE(p) = √[0.5896(1-0.5896)/163] = 0.037

Calculate the margin of error:

The margin of error is given by the formula ME = z × SE(p), where SE(p) is the standard error of the sample proportion and z is the z-score corresponding to the desired level of confidence.

The z-score for a 95% confidence interval is 1.96.

As a result, the error margin is:

ME = 1.96 × 0.037 = 0.0680

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The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

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The standard form of the equation is 9y = 5x + 40

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane

The given points are (-8, 0) and (1,5)

We find the slope first,

Slope(m) = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

Where \(y_{1}\) = 0, \(x_{1}\) = -8 and \(y_{2}\) = 5 and \(x_{2}\) = 1

slope(m) = \(\frac{5 - 0}{1 - - 8}\)

slope = 5/9

But equation o line is y = mx + c

To find c, take values of x = -8 and y = 0

so that the equation y = mx + c  becomes

0 = 5/9(-8) + c

c = 40/9

substitute for the values of m and c into y = mx + c

y = 5/9x + 40/9

Multiply through by 9, we have

9y = 5x + 40

writing it in standard form, 9y -5x - 40 = 0

In conclusion, the equation of the line in standard form is 9y -5x - 40 = 0

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The inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget will be given by: 60.50 + 5x ≤ 75.

An inequality is a relation which is used to make a non-equal comparison between two or more quantities or other mathematical expressions.

Let x be the maximum number of gigabytes Jaya can use while staying within her budget.

Given:

Then, according to question, we get that:

60.50 + 5x ≤ 75 (where, 5x is used to denote the total cost of 'x' gigabytes used by Jaya).

Hence, the inequality used to determine Jaya's maximum number of Gigabytes available for use, within her budget will be given by: 60.50 + 5x ≤ 75.

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Answer:

2

Step-by-step explanation:

Amy +3

Ray -4

Kim -2

Jammel +5

So,

3 - 4 - 2 +5 = ?

Answer is 2 points.

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The probability that both the balls drawn are white is 2/7 when two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls.

Therefore, Total number of balls in the box = 4+ 3 = 7 balls

Thus, the probability that the first ball drawn is a white is = (Total number of white balls) /  ( Total number of balls)

=4/7

The next ball is drawn without replacement thus the number of balls in the box is 6.

And if 1 ball is picked in drawn n first tie, then remaining number of white balls is 3.

Thus, the probability that the second ball drawn is a white is = (Remaining number of total white balls) /  ( Remaining number of total balls)

= 3/6 = 1/2

Therefore, the probability that both the balls drawn are white is

= (4/7)*(1/2)

= 2/7

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Answer:

vdsv

Step-by-step explanation:

Answer:

hiii, its B. 1/8. let me know if you need more help

Given the fraction,

The required mixed number is,

Answer:

she needs to save more $30.1

Step-by-step explanation:

more does she need to save = $100 - $20.75 - $22.50 - $26.65 = $30.1

Answer:

10

Step-by-step explanation:

There are 10 groups of 2/5 in 4 which represent the given fraction.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Equivalent fractions have the same value regardless of their numerators and denominators. When simplified, 6/12 and 4/8 are both equal to 1/2, indicating that they are equivalent in nature.

To find out how many groups of 2/5 are in 4, you will need to divide 4 by 2/5.

To do this, you can follow these steps:

Rewrite the fraction 2/5 as a decimal by dividing the numerator by the denominator. This gives you 0.4.

Divide 4 by 0.4 to find the number of groups of 2/5 that are in 4.

For example, if you divide 4 by 0.4, you get:

4 / 0.4 = 10

Therefore, there are 10 groups of 2/5 in 4.

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The numbers are 26 and 9 respectively.

An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.

These expressions said to contain numerous arithmetic operations, which includes;

From the information given, we have that

Let the small number be x

The large number be y

y < 3x    (1)

Also,

x + y = 35    equation 2

x = 35 - y

Substitute the value of x in equation 1

y < 3(35 - y)

expand the bracket

y < 105 - 3y

collect like terms

y + 3y < 105

4y < 105

Make 'y' the subject

y < 105/4

y < 26. 25

y = 26

substitute the value of y

x + y = 35

x + 26 = 35

x = 9

Hence, the values are 26 and 9

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Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

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Answer:

Step-by-step explanation:

ur mom

To determine if Andrea's sum is reasonable when estimating decimals, follow these steps.

By evaluating the proximity of the estimated sum to the actual sum, one can assess the reasonableness of the estimation.

This ensures that the estimation is accurate enough for the given scenario and provides a reliable approximation of the total.

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Answer:it's c

Step-by-step explanation:

It's - -1/4

Answer:

-1/4

Step-by-step explanation:

just did it

Answer: 7 just subtract

Step-by-step explanation:

a) after 30 minutes, they will 12.5 m apart

b)  25  is the distance between the boats changing 30 minutes after they leave port

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(west) of the right angle triangle.

Let y represent the length the longer leg(south) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

 = 20^2+15^2

 z = 25

but after 30 minutes one travels 10mph

and another 7.5mph

then

z= 12.5

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From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.

One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.

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The probability that neither roll is odd is 1/4.

When a pair of dice are rolled, each die can show an odd or even number, and there are a total of 36 possible outcomes (6 x 6) since each die has six possible outcomes.

There are 18 combinations of two dice that do not include an odd number (even-even), and so the probability of rolling an even number is 18/36  = 1/2.

Each die has the same probability of rolling an even or odd number, and so the probability of rolling an even number twice in a row (neither roll is odd) is

\((1/2)^2\) = 1/4.

Therefore, the probability of rolling a six-sided die twice in a row and not getting an odd number is 1/4 (25%).

Let E be the event of rolling an even number, and N be the event of rolling a number.

We need to find P(N'∩N')

i.e. the probability that the first roll is even and the second roll is even.

P(N') = 3/6P(N'∩N')

= P(N') * P(N')

= 3/6 x 3/6

= 9/36

= 1/4

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The answers are 3x=9 , 5x=15,6x=18

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:  9x=27 has an answer of x=3.

Clearly 3x=9 , 5x=15,6x=18 satisfy the given criteria

Hence, The answers are 3x=9 , 5x=15,6x=18

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The required answers five different equations with an answer of x=3 are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

Given here:  

Equation 9x = 27 has an answer of x=3.

Now, We can simplify as,

Clearly 3x=9 , 5x = 15, 6x = 18 satisfy the given criteria, as x = 3 are solution.

⇒ 3x = 9

⇒ x = 9/3

⇒ x = 3

⇒ 4x = 12

⇒ x = 12/4

⇒ x = 3

⇒ 5x = 15

⇒ x = 15/5

⇒ x = 3

⇒ 6x = 18

⇒ x = 18/6

⇒ x = 3

⇒ 7x = 21

⇒ x = 21/7

⇒ x = 3

Hence, The answers are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

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The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Three main implications for linear regression analysis are as follows:

(1) determining the strength of the predictor, (2) foreseeing an impact, and (3) trend forecasting.

Linear regression:

A fundamental and popular technique for predictive analysis is linear regression. Regression's overarching objective is to look at two things:

Accurately can a group of predictor variables forecast an outcome (dependent) variable.

Factors in particular, and how do they affect the outcome variable, are strongly predictive of both.

There are three main functions for regression analysis:

Assessing predictor power, foreseeing an outcome, and trend forecasting.

The regression equation's simplest version, y = c + b*x, has one dependent and one independent variable.

where,

y is the estimated score for the dependent variable, c is a constant, b is the regression coefficient, and x is the estimated score for the independent variable.

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The net cash flow from the spreadsheet dataset is $290

The net cash flow is the difference between the total cash inflow and the total cash outflow.

The given parameters are:

So, we have:

\(Net = \$2040 - \$1750\)

Calculate the difference

\(Net = \$290\)

Hence, the net cash flow is $290

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To find a Cartesian equation for the curve given by the polar equation r = 5 tan θ sec θ, we can use the following relationships between polar and Cartesian coordinates:
x = r cos θ and y = r sin θ
r = 5 tan θ (1/cos θ)
Now, multiply both sides by cos θ:
r cos θ = 5 tan θ
y = x/5
This is the Cartesian equation for the curve. The curve is a straight line with a slope of 1/5, passing through the origin.

To find a Cartesian equation for the curve, we need to eliminate the polar coordinates (r and θ) and express the equation in terms of x and y.

First, we can use the fact that tan θ = y/x and sec θ = r/x to rewrite the equation as:

r = 5 tan θ sec θ
r = 5 (y/x) (x/r)
r^2 = 5xy

Next, we can replace r^2 with x^2 + y^2, since r is the distance from the origin to the point (x,y):

x^2 + y^2 = 5xy

This is a Cartesian equation for the curve, which is a type of conic section known as a limaçon. It is a closed curve with a loop, and its shape depends on the value of the parameter a (which is 5 in this case). When a > 0, the curve has a loop that encloses the origin; when a < 0, the loop is outside the origin. In this case, since a = 5 > 0, the limaçon is a loop that encloses the origin.

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Answer:

36 marbles

Step-by-step explanation:

24/2=12

12*3=36