Which of the following is an advantage of using stratified random sampling?
A-Stratified random sampling saves time and money.
B-Stratified random sampling requires knowledge of the entire population.
C-Stratified random sampling can be used even when there is not a list of the population
D-Stratified random sampling provides more precise estimates than simple random sampling.

An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

it doesn't because there are places where there are two y values which just doesn't work out.

Answer:

y= 2x + 3/2

Step-by-step explanation:

First, place a point on (1,3).

Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.

The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

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Answer:

im sorry i dont understand

Step-by-step explanation:

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Part A

There are 6 red + 4 pink = 10 counters that are red or pink.

This is out of 6+5+4 = 15 counters total.

The probability we want is 10/15 = 2/3

====================================================

Part B

There are 4 pink out of 15 total. That leaves 15-4 = 11 that aren't pink.

====================================================

Part C

There are 6 red counters and 15 total. That means there are 15-6 = 9 counters that aren't red.

9/15 = 3/5

====================================================

Part D

We have 6 red + 5 blue = 11 that are red or blue this is the exact same 11 from part B. This is because if we don't have a pink counter, then it must be red or blue (there aren't any other colors left).

Answer:

See below

Step-by-step explanation:

\(3x - 2 > 9 +5x \implies 3x>11+5x \implies -11 > 2x \implies \boxed{x<\dfrac{-11}{2}}\)

Answer:for the first exam she made a 65 for the second one she made a 72 for the third one she made a b for the forth one she made a 86 for the fifth one its b and replace it with a c for the last one she made a d

Step-by-step

The correct answer is option B which is \(SinA = \dfrac{4}{5}\) , \(tanA = \dfrac{4}{3}\) ,\(SecA=\dfrac{5}{3}\),

\(CosA=\dfrac{3}{5}\),\(CotA=\dfrac{3}{4}\) and \(CscA=\dfrac{5}{4}\).

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

From the figure we can see that two sides are Ab = 15 cm and BC = 12 cm third side will be calculated by pythagorean theorem.

AC² = AB² -  BC²

AC²  = 15²  -  12²

AC²  =  81

AC   =  √81

AC  =  9 cm

Now all the trigonometry identities are:-

\(SinA =\dfrac{BC}{AB}=\dfrac{12}{15}= \dfrac{4}{5}\) ,

\(tanA =\dfrac{BC}{AC}=\dfrac{12}{9}= \dfrac{4}{3}\) ,

\(SecA=\dfrac{AB}{AC}=\dfrac{15}{9}= \dfrac{5}{3}\),

\(CosA=\dfrac{AC}{AB}=\dfrac{9}{15}= \dfrac{3}{5}\),

\(CotA=\dfrac{AC}{BC}=\dfrac{9}{12}=}\dfrac{3}{4}\)

\(CscA=\dfrac{AB}{BC}=\dfrac{15}{12}= \dfrac{5}{4}\).

Therefore correct answer is option B which is \(SinA = \dfrac{4}{5}\) , \(tanA = \dfrac{4}{3}\) ,\(SecA=\dfrac{5}{3}\),\(CosA=\dfrac{3}{5}\),\(CotA=\dfrac{3}{4}\) and \(CscA=\dfrac{5}{4}\).

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Answer:

The perimeter of the track is of 317 meters.

Step-by-step explanation:

Perimeter:

The perimeter of a figure is the sum of all its dimensions.

In this question:

The track is composed by two straights of 80m, and two half circles with a diameter of 50m.

Perimeter of a circle:

The perimeter of a circle with diameter d is of:

\(P = \pi d\)

Track:

Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So

\(P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317\)

The perimeter of the track is of 317 meters.

Answer:

6x

Step-by-step explanation:

Answer:

yw!

Step-by-step explanation:

Answer:

Angle \(AEC=80\)°

Step-by-step explanation:

Answer:

Shorter than

Step-by-step explanation:

If Dave's height is above the median, it means that Dave's height is greater than the middle value of the heights of all the individuals being considered. In other words, Dave's height is higher than or equal to the height of the person who is exactly in the middle when all the heights are arranged in order from smallest to largest.

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: \(R: (500, \infty)\)

Given that:

\(Phone = \$500\)

\(Monthly\ Plan = \$60\)

Let the number of months be t. So, the function C(t) is calculated as follows:

\(C(t) = Phone + Monthly\ Plan \times t\)

\(C(t) = 500 + 60 \times t\)

\(C(t) = 500 + 60t\)

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

\(C(0) = 500 + 60\times 0= 500 + 0 = 500\)

And the highest is \(\infty\) i.e. for a large value of t

So, we have:

\(C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty\)

Hence, the range of the function is:

\(R: (500, \infty)\)

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The table which  represents a quadratic relationship is in option \(D\).

A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.

Quadratic sequence \(=an^2 +bn+c\)

So, According to the definition mentioned above if table follows the  form of a quadratic equation then it is in quadratic relationship.

So,

To find out quadratic relationship,

We will find first difference in every table and then second difference (Second difference is the difference between the first difference).

We have,

Table A;

\(\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right\)

So, In the above table we can see that second difference  is not equal that means it is not in quadratic relationship.

Now,

Let Table D;

\(\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right\)

So, here in this table, we can see that second difference  is equal that means it is in quadratic relationship.

Hence, we can say that the table which  represents a quadratic relationship is in option \(D\).

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Answer:

The answer is 39.2

Step-by-step explanation:

The first thing you want to do is multiply both numbers by them selves like this: 9x8 and 4x8. Then after you do that, add the sum of those equations and you have your answer. Think about it like this, for 8x4, all it is is just 8+8+8+8. If solving it that way is easier for you, go for it! Hope I could help!

Answer:

140% procent increase of your vase

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

3 packs of string cheese and 2 packs of celery.

Step-by-step explanation:

Answer:

11.25 = 3% of 375

11.25= 20% of 56.25

The length of line segment IG of the circle using the chord-chord power theorem is 6.

Chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

Line segment FG = 12

Line segment GH = 4

Line segment GJ = 8

Line segment IG = ?

Now, usig the chord-chord power theorem:

Line segment FG × Line segment GH = Line segment GJ × Line segment IG

Plug in the values:

12 × 4 = 8 × Line segment IG

48 = 8 × Line segment IG

Line segment IG = 48/8

Line segment IG = 6

Therefore, the line segment IG measures 6 units.

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Answer:

B

Step-by-step explanation:

The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).

A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.

C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.

D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

53

Step-by-step explanation:

8•7 is 56

56 - 3 is 53

Answer:

53

Step-by-step explanation:

z = 7

8z is the same as saying 8×z

8×7-3 (do multiplication first)

56-3 = 53

Answer:

The dimensions are either (3,3,2)cm

Or

(9,2,1)cm

Step-by-step explanation:

First we have to put into consideration that the volume must be 18cm³

Nothing greater than that, nothing less than that.

Not even with decimal.

So let's give the possible values combination to give us volume as 18.

We have

Length= 9cm

Width= 2cm

Height= 1cm

Volume = 9*2*1= 18cm³

The above can be arranged 3! = 6 ways though.

It's just the combination that is important.

Second is

Length= 3cm

Width= 3cm

Height= 2cm

Volume= 18cm³

The above can be arranged 3! = 6 ways though.

It's just the combination that is important.