I need help ASAP! I don’t understand this so I was hoping anyone would help

The sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a lower or higher sampling probability than others. Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others.

For the given situation,

Sample size = 20

Here Matilda have surveyed only 20 people. Since it is a less value, the sample is biased.

We could not take as the population suggestion with the suggestion of only seven people.

To know the population's liking's, Matilda should have asked more people in the street if they would like to discuss what they want to do during the summer break asked more number of people in the population.

Hence we can conclude that the sample is biased because sample size is too small. So option (1) she should have asked more people is the correct answer.

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The statement "P(m, n)" means "m divides n", where the domain for both variables are positive integers (m, n > 0). This means that "n = km" for some integer k.
(a) P(4, 5): False Since 5 is not divisible by 4, the statement "P(4, 5)" is false.
(b) P(2, 4): True Since 4 is divisible by 2, the statement "P(2, 4)" is true.
(c) ∀m ∀n P(m, n): False This statement implies that every positive integer is divisible by every other positive integer, which is false.
(d) ∃n ∀m P(m, n): False This statement implies that there exists some positive integer that is divisible by all other positive integers, which is false.
(e) ∃m ∀n P(m, n): False This statement implies that there exists some positive integer that divides all other positive integers, which is false.
(f) ∀n ∃m P(m, n): True This statement implies that for any given positive integer, there exists some positive integer that it is divisible by, which is true. (using the domain and range)

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8 AND gates are required to implement a decoder that has 4 outputs. The answer is (d)

A decoder is a combinational logic circuit that converts an input code into a specific output combination. The number of outputs in a decoder is determined by the number of input lines.

In a \(2^n\) decoder, where n is the number of input lines, the decoder has \(2^n\) outputs. In this case, we need a decoder with 4 outputs, which means we need a 2² decoder.

A 2² decoder requires 2 input lines and has 4 outputs. Each output corresponds to a specific combination of the input lines. To implement this decoder, we use 2 input AND gates for each output. Each AND gate takes one of the input lines and its complement (inverted form) as inputs. The outputs of these AND gates are then connected to form the decoder outputs.

Since we have 4 outputs, and each output requires 2 input AND gates, we need a total of 8 AND gates to implement the decoder. Therefore, the correct answer is (d) 8.

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To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

What did we do?

Starting with the function f(x) = -2x + 6, let's consider the transformations to the functions g(x) = f(x) - 1 and h(x) = f(x - 4).

For g(x) = f(x) - 1, we can see that the function is shifted downward by 1 unit from f(x). This means that every y-value of f(x) will be decreased by 1 to obtain the corresponding y-value of g(x). Therefore, the graph of g(x) will be the same as the graph of f(x), but shifted down by 1 unit.

For h(x) = f(x - 4), we can see that the function is shifted to the right by 4 units from f(x). This means that the input to f(x) will be increased by 4 to obtain the corresponding input to h(x). Therefore, the graph of h(x) will be the same as the graph of f(x), but shifted to the right by 4 units.

To summarize, the transformations from f(x) to g(x) and h(x) can be described as follows:

g(x) = f(x) - 1: a vertical shift downward by 1 unit

h(x) = f(x - 4): a horizontal shift to the right by 4 units

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

the dimension of edge A is

the dimension of edge B is

the volume of the composed figure is

Volume is 2640 cubic centimeters

Answer:

7/10

Step-by-step explanation:

10 marbles in a bag 7 of them are blue and the (10-7)=3 green

P( blue) = blue / total

            = 7/10

The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts.

Let S represent the number of short-sleeved shirts and L represent the number of long-sleeved shirts the drama club ordered.

Given that the price of each short-sleeved shirt is $5, so the revenue from selling all the short-sleeved shirts is 5S.

Similarly, the price of each long-sleeved shirt is $10, so the revenue from selling all the long-sleeved shirts is 10L.

The total revenue from selling all the shirts should be $1,750.

Therefore, we can write the equation:

5S + 10L = 1750

Now, let's use the information from the first week of the fundraiser:

They sold one-third of the short-sleeved shirts, which is (1/3)S.

They sold one-half of the long-sleeved shirts, which is (1/2)L.

The total number of shirts they sold is 100.

So, we can write another equation based on the number of shirts sold:

(1/3)S + (1/2)L = 100

Now, you have a system of two equations with two variables:

5S + 10L = 1750

(1/3)S + (1/2)L = 100

You can solve this system of equations to find the values of S and L. Let's first simplify the second equation by multiplying both sides by 6 to get rid of the fractions:

2S + 3L = 600

Now you have the system:

5S + 10L = 1750

2S + 3L = 600

Using the elimination method here.

Multiply the second equation by 5 to make the coefficients of S in both equations equal:

5(2S + 3L) = 5(600)

10S + 15L = 3000

Now, subtract the first equation from this modified second equation to eliminate S:

(10S + 15L) - (5S + 10L) = 3000 - 1750

This simplifies to:

5S + 5L = 1250

Now, divide both sides by 5:

5S/5 + 5L/5 = 1250/5

S + L = 250

Now you have a system of two simpler equations:

S + L = 250

5S + 10L = 1750

From equation 1, you can express S in terms of L:

S = 250 - L

Now, substitute this expression for S into equation 2:

5(250 - L) + 10L = 1750

Now, solve for L:

1250 - 5L + 10L = 1750

Combine like terms:

5L = 1750 - 1250

5L = 500

Now, divide by 5:

L = 500 / 5

L = 100

So, the drama club ordered 100 long-sleeved shirts. Now, use this value to find the number of short-sleeved shirts using equation 1:

S + 100 = 250

S = 250 - 100

S = 150

So, the drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts.

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Complete question:

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts.

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

\(l_{HF} = \sqrt{\left (4-7 \right )^{2}+\left (1-(-11) \right )^{2}} = \sqrt{\left (-3 \right )^{2}+\left (12 \right )^{2}} = 3\cdot \sqrt{17}\)

Similarly, we check the length of HJ, to get;

\(l_{HF} = \sqrt{\left (3-7 \right )^{2}+\left (5-(-11) \right )^{2}} = \sqrt{\left (-4 \right )^{2}+\left (16 \right )^{2}} = 4\cdot \sqrt{17}\)

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

V= 112

Step-by-step explanation:

L * w * h  then divide by 3

Answer:

112 in.

Step-by-step explanation:

Volume = Length x Width x Height

Volume = 7 in x 6 in x 8 in

Volume = 336 in.

336 divide by 3 = 112 in

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Answer:

m< VUS+122

Step-by-step explanation:

m<TUX= 122 Degrees

m<VUS=122 degrees Make the circle at the top of 122  (vertically opposite angles are equal )

The explicit rule in simplified form that can be used to find the number of homes sold in the nth month of the year is H(n) = 6(n - 1) + 12.

A list of numbers that adhere to a pattern or rule is referred to in mathematics as a sequence. Every number in the sequence is referred to as a term, and its location within the sequence is referred to as its index. As an illustration, the numbers 1, 3, 5, 7, 9,... are an example of an odd number sequence. Each word is two more than the one before it, which is the pattern of the sequence. Sequences might have an unlimited number of terms or a finite number of terms (having an infinite number of terms). Mathematical sequences come in a variety of shapes and sizes, including arithmetic, geometric, and Fibonacci sequences.

The pattern shows that the number of homes sold is increasing by 6 each month.

Thus, the explicit rule is given as:

H(n) = 6(n - 1) + 12

Hence, the explicit rule in simplified form that can be used to find the number of homes sold in the nth month of the year is H(n) = 6(n - 1) + 12.

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Answer:

SYMMETRICAL DESIGN: A formal, equilateral triangular design. ROUND DESIGNS: Do not require a focal point. HOOK METHOD: Wiring technique in which the wire is inserted through the flower and a small hook is formed in the wire before it is pulled back into the flower.

Step-by-step explanation:

A triangular arrangement is a formal, equilateral triangular design. Option D

A formal, equilateral triangle pattern is referred to as a triangular arrangement. It entails arranging components or things in a configuration that resembles an equilateral triangle.

In a variety of disciplines, including art, architecture, and landscaping, this arrangement is used. All three sides of the equilateral triangle are identical in length, and all three angles are 60 degrees.

As the equilateral triangle is seen as a stable and aesthetically beautiful shape, the triangular arrangement is frequently employed to establish balance, harmony, and aesthetic appeal in a design.

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Answer:

124250cm, 1242.5m or 1.2425km

Step-by-step explanation:

0.6% = 6/100

6/100 = 0.006

0.006*1.25 = 0.0075

1.25km = 1250m = 125000cm

0.0075km = 7.5m = 750cm

125000 - 750 = 124250

Therefore:

The answer is 124250cm, 1242.5m or 1.2425km

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Answer:

First, find the cost function of DoItRight Housekeeping:

The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:

\(f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8\)

Therefore, the function for two companies are:

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

To understand why the mean and variance of the wavelength distribution are the same for different ranges, it is useful to consider the individual wavelengths within the range. A uniform distribution of wavelengths implies that each wavelength within the range has an equal probability of being observed. This means that, regardless of the range, each wavelength has the same probability of being observed. Thus, the mean and variance of the wavelength distribution are the same for different ranges.

A. The mean wavelength of photosynthetically active radiation (PAR) in the red spectrum from 675 to 700 nm is (675 + 700)/2 = 687.5 nm. The variance of the wavelength distribution for this radiation is [(700-675)2]/12 = 5.21 nm2.

B. The mean wavelength of PAR in the range of 75 to 100 nm is (75 + 100)/2 = 87.5 nm. The variance of the wavelength distribution in this range is [(100-75)2]/12 = 5.21 nm2.

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Answer:

Step-by-step explanation:

3x + 4y when x = 6 and y = -3

Put in values of x and y:

3(6) + 4(-3) = 18 + (-12) = 6

Answer:

425.39

Step-by-step explanation:

Therefore, the correct inequality representing Jed's situation is: d. 1.29t ≤ m + 17.26.

Let's analyze the given options:

10x + 1 < 9x:

Subtracting 9x from both sides gives x + 1 < 0, which simplifies to x < -1. This inequality represents the condition where x is less than -1.

10x < 19x - 2:

Subtracting 10x from both sides gives 0 < 9x - 2. Adding 2 to both sides gives 2 < 9x, which simplifies to 2/9 < x. This inequality represents the condition where x is greater than 2/9.

9x + 1 > 10x:

Subtracting 10x from both sides gives -x + 1 > 0, which simplifies to x < 1. This inequality represents the condition where x is less than 1.

Now, let's analyze the inequality representing Jed's situation:

Lett be his monthly spending limit and m represent the total number of songs downloaded.

The given information states that Jed can download 25 songs per month for $14.99, and additional songs cost $1.29 each. The total cost t can be represented as:

t = 14.99 + 1.29m

Since Jed's monthly spending limit is denoted by Lett, we have the inequality:

1.29m ≤ Lett - 14.99

Comparing the options provided:

a. 1.29m t + 10.01: This option does not represent the correct relationship between 1.29m and t.

b. 1.29m ≤ t + 17.26: This option does not correctly reflect the cost of $14.99 for the initial 25 songs. It overestimates the cost by adding 17.26 instead of subtracting it.

c. 1.29t ≤ m + 10.01: This option incorrectly swaps the variables t and m, and it also does not represent the correct relationship between the cost and the number of songs.

d. 1.29t ≤ m + 17.26: This option correctly represents the relationship between the cost and the number of songs, with the appropriate values subtracted.

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Given:

The sequence is

4, 16, ___, 256, 1024

To find:

The missing number in the given sequence.

Solution:

We have,

4, 16, ___, 256, 1024

Here,

\(\dfrac{16}{4}=4\)

\(\dfrac{1024}{256}=4\)

The given sequence has common ratio 4. So, the given sequence is a geometric sequence.

To get the missing value, we need to multiply 16 and the common ratio.

\(16\times 4=64\)

Therefore, the missing value is 64.

Correlation measures the degree of association between two variables and outliers can distort the relationship between them.

True. One or two extreme data points, also called outliers, can have a dramatic effect on the size of a correlation. This is because correlation measures the degree of association between two variables and outliers can distort the relationship between them.

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Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Answer:

y-intercept (0,2.5)

x intercept (3.5,0)

Step-by-step explanation:

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

\( \frak {\cos( \theta_{1} ) = - \frac{13}{15} }\)

To find :

\( \frak{ sin( \theta_{1} )}\)

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

\( \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}\)

Hence, the answer is -2√14/15

\( \:\:\:\:\:\:\longrightarrow \sf \underline{V_{(cylinder) } = \pi\:r^2\:h \: cubic \:units }\\\)

Where -

As per question, we are given that-

Now that, we are given all the required values, so we can put all the values into the formula and solve for the height -

\( \:\:\:\:\:\:\longrightarrow \sf \underline{Volume _{(cylinder) } = \pi\:r^2\:h }\\\)

\( \:\:\:\:\:\:\longrightarrow \sf 1800= 3.14 \times \bigg(7\bigg)^2 \times h\\\)

\( \:\:\:\:\:\:\longrightarrow \sf 1800 = 3.14 \times 7\times 7\times h\\\)

\( \:\:\:\:\:\:\longrightarrow \sf 1800 =3.14 \times 49 \times h\\\)

\( \:\:\:\:\:\:\longrightarrow \sf 1800 =153.86\times h\\\)

\( \:\:\:\:\:\:\longrightarrow \sf 153.86\times h=1800\\\)

\( \:\:\:\:\:\:\longrightarrow \sf h = \dfrac{1800}{153.86}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf h = 11.69894...........\\\)

\( \:\:\:\:\:\:\longrightarrow \sf \underline{ h =11.69\: inch }\\\)

Therefore, the length of height \( \sf \underline{ \pink{11.69\: inch }}\\\)

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation: