19.6 is 24.5% of what number?
- For 11 points ​

The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.

To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:

The initial amount of snow on the ground when the snowstorm began is 8 inches.

The snow is falling at a rate of 2 inches per hour.

Based on this information, we can establish the following linear relationship:

S = 2h + 8

In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.

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Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

The null hypothesis (H0) for this test is that the proportion of customers who try out the samples being offered is 0.15 or less. The alternative hypothesis (Ha) is that the proportion of customers who try out the samples being offered is more than 0.15.
The researcher wants to test whether the proportion of customers who try out the samples being offered is higher than 0.15, which means the null hypothesis states that the proportion is 0.15 or lower. The alternative hypothesis, on the other hand, suggests that the proportion is greater than 0.15. The researcher will conduct a hypothesis test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

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Answer:

equivalent fractions are fractions that are equal. example. 1/5 = 2/10

equivalent ratios are ratios that are equal. example. 2:4 = 4:8

A random variable X has a probability distribution as follows:

X = 0, 1, 2, 3

P(X) = 2k, 3k, 13k, 2k

where k is a positive constant. The probability P(X < 2.0) is 0.25.

What is random variable?

A quantity or item that depends on random events is formalised mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable. It is a function or mapping from potential outcomes to a quantifiable space, frequently to real numbers.

We know that probability sum of all events is 1

Therefore here sum of all probability events =P(X=0)+P(X=1)+P(X=2)+PX=3)=1

2k+3k+13k+2k=1

20k=1

k=1/20=0.05

For P(x<2)=P(X=0)+P(X=1)=2k+3k =5k=5*(1/20)=0.25

Hence the correct answer is b, 0.25

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Answer:

2.59 feet

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

since -4 is being squared, we can write it out as -4 * -4, to get us the answer 16. this answer is positive because a negative times a negative will cancel out and = a positive.

Therefore, Andrea has 25 dimes in 37 coins, all nickels and dimes and the value of the 37 coins is $3.10.

Let's represent the number of nickels by "n" and the number of dimes by "d".

From the problem, we know that:

n + d = 37 (equation 1) ---(the total number of coins)

0.05n + 0.1d = 3.10 (equation 2) ---(the total value of the coins in dollars)

To solve for d, we can rearrange equation 1 to get:

n = 37 - d

Substitute this expression for n into equation 2 and simplify:

0.05(37-d) + 0.1d = 3.10

1.85 - 0.05d + 0.1d = 3.10

0.05d = 1.25

d = 25

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Step-by-step explanation:

3x+6= 4+2x+4

x= 8-6

x= 2

DF = 3*(2)+6

DF= 12 cm

SOLUTION

The given function is

Using the limit definition

Substitute x+h for x

This gives

Simplify the limit

This further gives

Simplify further

Simplify the fraction

Find the limit

Therefore, the solution is

Step-by-step explanation:

length = width + 6

the perimeter of a rectangle is

2×length + 2×width

by using the first equating as identity in the second we get

36 = 2×(width + 6) + 2×width =

= 2×width + 12 + 2×width = 4×width + 12

24 = 4×width

width = 6 m

length = width + 6 = 6 + 6 = 12 m

he dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

Given that the room is 6 meters longer than it is wide, we can represent the width as W. Therefore, the length of the room would be W + 6.

The perimeter of a rectangle is calculated by adding all four sides, which in this case is given as 36 meters. We can express this as an equation:

Perimeter = 2 * (Length + Width)

Substituting the values, we get:

36 = 2 * (W + (W + 6))

Simplifying the equation further, we have:

36 = 2 * (2W + 6)

Dividing both sides of the equation by 2, we get:

18 = 2W + 6

Subtracting 6 from both sides, we obtain:

12 = 2W

Dividing both sides by 2, we find:

W = 6

Now that we have the width, we can calculate the length:

Length = Width + 6 = 6 + 6 = 12

Therefore, the dimensions of the rectangular room are 6 meters by 12 meters of the rectangular room is 6 meters longer than it is wide, and its perimeter is 36 meters by solving equations and geometric measurements.

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Answer:

this is a required answer.

Answer:

Slant height of the pyramid = 11.66 m

Step-by-step explanation:

A squad pyramid has a volume of

V = ⅓ × (area of base) × (vertical height)

Area of the pyramid's square base = 144 m²

Volume = 384 m³

384 = ⅓ × 144 × (vertical height)

Vertical height = (3×384)/(144) = 8 m

But, the slant height of the square based pyramid forms a right angled triangle with the vertical height of the pyramid and the distance from the centre of the base of the pyramid to an edge of the pyramid.

The distance from the centre of the base of the pyramid to an edge of the pyramid = half of the length of the diagonal of the square base of the pyramid.

The diagonal of the square base of the pyramid also forms a right angled triangle with two sides of the square base of the pyramid.

Area of the square base of the pyramid = 144 m²

Area of a square = (side length)²

Side length = √(Area of the square) = √144 = 12 m

Using Pythagoras theorem,

(Length of the diagonal)² = 12² + 12² = 288

Length of the diagonal = (12√2) m

Half of the length of the diagonal of the square base = 6√2 m

Using Pythagoras theorem further

(Slant height of the pyramid)² = (vertical height of the pyramid)² + (Half of the length of the diagonal of the square base)²

(Slant height of the pyramid)² = 8² + (6√2)² = 64 + 72 = 136

Slant height of the pyramid = √136 = 11.66 m

Hope this Helps!!!

Answer:

20

Step-by-step explanation:

Why? because 100$ in 5 days is he spent the same much each day then it's 20 because 20 x 5=100

20 x 1=20

20 x 2=40

20 x 3=60

20 x 4=80

20 x 5=100

In a dot plot, where the distribution is represented by dots on a number line, the interquartile range (IQR) is the most appropriate measure to describe variation.

It focuses on the middle 50% of the data, which helps to identify the spread of the distribution while minimizing the impact of outliers. By comparing the distance between the first and third quartiles, the IQR provides a robust representation of the dispersion in the data set, making it suitable for a dot plot.

A dot plot is a graphical representation of a distribution where each data point is represented by a dot on a number line. When determining the most appropriate measure to describe the variation of the distribution in a dot plot, the interquartile range (IQR) is a suitable choice.

The IQR focuses on the middle 50% of the data, specifically the range between the first quartile (Q1) and the third quartile (Q3). This measure is robust to outliers, as it only considers the data within this central portion, disregarding extreme values.

By calculating the IQR in a dot plot, we can understand the spread or dispersion of the data. A larger IQR indicates a wider spread, while a smaller IQR suggests a more concentrated distribution. It provides a reliable representation of the variation in the dataset without being heavily influenced by outliers.

In summary, the IQR is well-suited for dot plots as it provides a robust measure of dispersion, focusing on the middle portion of the data and minimizing the impact of extreme values.

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The reference specifications should provide information on approved wiring methods for the workshop area. By examining these specifications, it can be determined which wiring method is not approved for use in that particular area.

To identify the wiring method not approved for use in the workshop area, one would need to refer to the specific reference or specifications provided. The reference should outline the approved wiring methods for the workshop area and any restrictions or exclusions for certain types of wiring.

Commonly approved wiring methods in workshop areas include conduit systems such as rigid metal conduit (RMC), intermediate metal conduit (IMC), and electrical metallic tubing (EMT), as well as nonmetallic sheathed cable (NM cable) or armored cable (AC). These methods are commonly used due to their durability, protection against physical damage, and compliance with safety standards.

On the other hand, wiring methods that may not be approved for use in the workshop area could include less durable options or those that do not meet the safety requirements outlined in the specifications. Examples of such methods may include exposed wiring, open wiring, or wiring not protected by conduit or suitable insulation.

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The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, cubic, quadratic, etc.

A polynomial with two terms is known as a binomial. Hence:

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

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Answer:

slope = - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

5

Step-by-step explanation:

First multiply inside of the parenthesis with 3 then add the like terms

3x + 6 - 6 = 15 ➡ 3x = 15 divide both sides with 3 and x = 5

Answer:

3 gallons of paint

Step-by-step explanation:

We know

1/3 gallon of paint is used to cover 1/9 of the fence. How much paint will cover the entire fence?

We take

1/3 x 9 = 9/3 = 3 gallons of paint

So, it takes 3 gallons of paint to cover the entire fence.

To find the probability that 4 of the Starbursts drawn are cherry, we can use the concept of combinations and the hypergeometric probability distribution.

The total number of Starbursts in the bag is 10 (cherry) + 20 (other flavors) = 30 Starbursts.

The number of ways to choose 11 Starbursts out of the 30 available Starbursts is given by the combination formula:

\(C(30, 11) = 30! / (11!(30 - 11)!) = 30! / (11! * 19!)\)

Now, we need to find the number of ways to choose 4 cherry Starbursts and 7 other flavored Starbursts. The number of ways to choose 4 cherry Starbursts out of the 10 available cherry Starbursts is given by the combination formula:

\(C(10, 4) = 10! / (4!(10 - 4)!) = 10! / (4! * 6!)\)

The number of ways to choose 7 other flavored Starbursts out of the 20 available other flavored Starbursts is given by the combination formula:

\(C(20, 7) = 20! / (7!(20 - 7)!) = 20! / (7! * 13!)\)

Therefore, the probability of drawing 4 cherry Starbursts is:

P(4 cherry Starbursts) = \((C(10, 4) * C(20, 7)) / C(30, 11)\)

Now we can calculate this probability:

P(4 cherry Starbursts) = \((10! / (4! * 6!)) * (20! / (7! * 13!)) / (30! / (11! * 19!))\)

Simplifying the expression, we can calculate the probability using a calculator or computer software.

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Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

Given that

\(\displaystyle \lim_{x\to0} f(x) = 4\)

we can use the properties of limits to show

\(\displaystyle \lim_{x\to0} \frac14 f(x)^4 = \frac14 \lim_{x\to0} f(x)^4 = \frac14 \left(\lim_{x\to0} f(x)\right)^4 = \frac14 \times 4^4 = 4^3 = \boxed{64}\)

Let's see

\(\\ \rm\Rrightarrow \lim_{x\to 0}\dfrac{1}{4}f(x)^4\)

\(\\ \rm\Rrightarrow \dfrac{1}{4}\lim_{x\to 0}f(x)^4\)

\(\\ \rm\Rrightarrow \dfrac{1}{4}\times 4^4\)

\(\\ \rm\Rrightarrow \dfrac{256}{4}\)

\(\\ \rm\Rrightarrow 64\)

Answer:

Step-by-step explanation:

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation: