Wyatt made a scale drawing of a picnic area near the river. The picnic area, which is 84 yards long in real life, is 231 inches long in the drawing. What scale did Wyatt use?

The histogram that shows a left-skewed distribution is given by:

A. A bar chart plots data points (1, 1), (2, 4), (3, 1), (4, 2), (5, 3), (6, 4) and (7, 3).

An histogram is a graph that shows the number of times each element x was observed on the data-set.

Hence, the meaning of a point (x,y) on the histogram is given as follows:

Observation x was observed y times on the data-set.

The skewness of a distribution can be explained as follows:

Hence in this problem, for the left-skewed histogram, we want an "increasing" histogram, hence option A is correct.

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Exactly one type of meat required = 5 choices

acc  to our question-

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Step-by-step explanation:

one side.

as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.

the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.

so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.

The greatest number of outfits Jose can buy is 6

The given parameters are:

Let the number of new biking outfits be x

So, we have

New bicycle + 4 * price of bicycle reflectors + Pair of a bike gloves + New biking outfits ≤ Budget

This gives

284.52 + 4  * 15.65 + 11.31 + 31.95x ≤ 580

This gives

358.43 + 31.95x ≤ 580

Solve the inequality

31.95x ≤ 221.57

Divide

x ≤ 6.93

This gives

x ≤ 6

Hence, the greatest number of outfits is 6

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The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.

Here,

A parallelogram has adjacent angles that add up to 180 degrees.

Since one angle of parallelogram is 120°.

240+2x=360

2x=120

x=60

The other will be 60°

The area of parallelogram= lh

l=15 inch

h=b(sin 60°)

=8*√3/2

h=4√3 inch

area of parallelogram= 15*4√3

= 60√3 inch²

The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."

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x - intercept is at ( 1, 0 ) graph intersect at x = 1 .

What are intercepts?

Domain - values of x on  x -axis taken by function

                - ( 0,5 )

Range = values of y on  y -axis taken by function

          = (-  ∞ , 2 )

           = ( as, x ⇒ 0 then graph goes below

b) x - intercept is at ( 1, 0 ) graph intersect at x = 1

          no y - intercept is there .

c) graph is not symmetric .

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the slop is -1 and the y-intercept is (0,7)

acc to our question-

Hence,the slop is -1 and the y-intercept is (0,7)

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Answer:

Step-by-step explanation:

We can observe:

According to  Hınge theorem if two sides of different triangles are equal and the angles between the two sides are different, then the larger angles has greater side opposite to it.

As TU is opposite to the larger angle, and SV is opposite to smaller angle, then TU > SV.

Correct angle choice is B.

The cluster sample represents the the characteristic of group of same types objects.

What is the cluster sampling?

A population is divided into clusters, such as districts or schools, and some of these clusters are randomly chosen as your sample via the probability sampling technique known as cluster sampling. In a perfect world, each cluster would be a tiny reflection of the entire population.

A researcher intends to carry out a study to evaluate sophomores' abilities in business education across the United States. There is no way to carry out a research study with participants from every university. Instead, the researcher can group the universities from each city into a single cluster by utilizing cluster sampling. The sophomore student population in the United States is then comprised of these clusters. Next, select clusters at random for the research project using either simple random sampling or systematic random sampling. The sophomores from each of these determined groups can then be picked on whom to perform the research study utilizing simple or systematic sampling.

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The number of ways which are there to seat four of a group of ten people around a circular table is 1260.

To choose 4 people from a group of ten we need to count such people, which can be found using 10! / 4! × (10-4)! ,  after solving this we need to multiply 3! by this to get the desired answer. This is done because for that 4 people to sit in a circle, the possibilities for n people to sit around a circle is (n-1)! , and since n here is 4 the possibilities will also be (4-1)! which is 3! here.

Hence the final answer: 3! × 10! / 4! × (10-4)! = 1260

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The smallest positive integer n will be 10 .

To find : the smallest positive integer n such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

Since ,

putting n = 10 gives

n ! = 10 ! = 3628800

and ( n + 1 ) ! = 39916800

Last three digits ( rightmost digits ) ie. 800 are same .

Hence , n = 10 is the required answer ,

Therefore , the smallest positive integer is n = 10 such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

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Answer:

After 8 minutes ; altitude = 22,400 feet

Step-by-step explanation:

s1 = 2800t

s2 = -3200t + 48 000

2800t = -3200t + 48 000

28t = -32t + 480

7t = -8t + 120

7t + 8t = 120

15t = 120

15/15 t = 120/15

t = 8 minutes

s = 8 * (2800)  =   22400 feet

The p-value for this z test statistic is equal to 0.0287.

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

The z test statistic can be calculated by using this formula:

[tex]t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

In this scenario, the z test statistic for a one-tailed hypothesis test (lower tail) is equal to -1.9. Therefore, by using a t-distribution and z-score calculator for a normal distribution, the p-value for this test is given by:

P-value = P(t > -1.9)

P-value = 0.0287.

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Answer:

-30

Step-by-step explanation:

Distribute

5 x -4= -20 2 x -2= -4

-20+(-6)+(-4)

Add together

-20 + -6= -26

-26 + (-4)

Add again

-26 + -4= -30

-30

The culture starts out with 39 members.

Given that;

After 20 minutes and 40 minutes, a bacteria culture had an 800 and 1700 count, respectively.

To get exponential growth;

We can get growth with an exponential function,

F(t) = A₀[tex]e^k^t[/tex]

Here, k is the growth constant and A₀ is the initial amount of bacteria.

Let;

800 = A₀[tex]e^2^0^k[/tex]  → (I)

1700 = A₀[tex]e^4^0^k[/tex] → (II)

From (I) and (II);

1700 / 800 =  A₀[tex]e^4^0^k[/tex] / A₀[tex]e^2^0^k[/tex]

17/8 = [tex]e^2^0^k[/tex]

For the above equation take the natural log on both sides;

ln(17/8) = ln [tex]e^2^0^k[/tex]

ln(17/8) = 20k

k = ln(17/8) / 20

To get the initial size of the culture;

From (I),

800 = A₀[tex]e^2^0^k[/tex]

800 = A₀e⁰°⁰³⁷⁶ ˣ ²⁰

A₀ = 800 / 20.76

A₀ = 38.53 ≅ 39

Therefore, the initial size of the culture is 39.

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Using the Pythagorean Theorem and the given values, we can solve for c.

a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
√400 = √c^2
c = 20

The required value of h is 5.29 ft in the parallelogram shown.

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

As per the given figure, the dotted lines create a triangle, and the hypotenuse of that triangle is the opposite base of the parallelogram, indicating that it is likewise 8 feet long.

The base of the newly made triangle is one of the parallelogram's diagonals, which is 6 feet long.

According to Pythagorean's theorem, we have

h² + 6² = 8²

h² + 36 = 64

h² = 28

h = √28

h = 5.29

Thus, the required value of h is 5.29 ft.

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Answer:

4

I did the i-ready, hope this helps! :)

The factor of the polynomial f(x) graphed on the coordinate plane is

(x - 1).

What is factor of the polynomial?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.

A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.

From the given graph we can see that, graph crosses x - axis at points

x = 1 and x = 8.

That means x = 1, 8 are the zero of the polynomial.

Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.

As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.

Hence, from the given options (x - 1) is factor of the polynomial.

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The point (-2,7) is not lie on the graph of y = -2x +1 .

Given,

In the question:
To check the :

Does the point (-2, 7) lie on the graph of y=-2x+1?

Now, According to the question:

The equation is :

y = -2x + 1

Substitute the values of x = -2 and y = 7 into y = -2x +1

7 = -2(-2) + 1

LHS = 7

RHS = -2(-2) + 1 = 5

Write in the form :

7 = 5

Verify the relationship

False

Determine whether the point is on the line:
(-2, 7) not on the graph.

Hence, The point (-2,7) is not lie on the graph of y = -2x +1 .

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Answer:

-6

Step-by-step explanation:

The value of [tex]b[/tex] is the same as the value of [tex]y[/tex] when [tex]x=0[/tex].

Answer:

b = 4A-a-c-d

Step-by-step explanation:

A = (a+b+c+d)/4 |*4

4A = a+b+c+d |-a-c-d

4A-a-c-d = b

In accordance to Thales's theorem, the geometric system has a missing side length of 15 units.

In this problem we find a geometric system formed by two proportional trapezoids. This similarity and proportionality is defined by Thales's theorem, which states that a triangle segmented by several lines parallel to each other and parallel to the base of the figure creates triangles and quadrilaterals proportional to each other.

Then, two figures of the given trapezoids are represented by side proportionality ratios. Then, the proportionality ratio is described and its variable x is cleared within by algebra properties:

First, define the proportionality ratio associated to the geometric system:

4 / (10 + 4) = (21 - x) / 21

Second, simplify the equation and clear the variable x:

4 / 14 = 1 - x / 21

2 / 7 = 1 - x / 21

42 / 7 = 21 - x

6 = 21 - x

x = 21 - 6

x = 15

The missing length is equal to 15 units.

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Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.

A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.

The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.

Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .

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There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.

Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.

Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.

The likelihood that your phone will be stolen can be determined using law of total probability by:

P(S) = P(S|L)P(L) + P(S|C)P(C)

      = 0.3 * 0.4 + 0.6 * 0.6

      = 0.12 + 0.36

P(S) = 0.48

Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.

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Answer:   14.4g of onion powder

Step-by-step explanation:   To get 20% of a number, you need to divide the original amount by 5, so 72 ÷5 is 14.4g

They should include 14.4 grams of onion powder in a bottle.

Given that, a seasoning blend is 4% onion powder, by mass.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Hence, they should include 14.4 grams of onion powder in a bottle.

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Answer:

x = -12

Step-by-step explanation:

x/-3 + 5 - 5 = 9 - 5

x/-3 = 4

x/-3 (-3) = 4(-3)

x = -12

The exact value for cos (α+β) is √21/25- 4√2/15, for the given quadrants II and IV

we know that cos (α+β)) = cos α cos β - sin α sin β, we are given the values of sin α=2/5 and cos β= 1/3 ( both are positive for  quadrant 2 and 3). Since we know cos² a + sin² a = 1

for α, cos² α + sin² α = 1

=> cos² α = 1 - sin² α

=> cos² α = 1 - 4/25

=> cos α = √21/25

same for β, cos² β + sin² β = 1

=> sin² β = 1 -cos² β

=> sin² β = 1 -1/9

= 8/9

=2√2/3

substituting the known values in the above formula for cos (α+β)

=>cos α cos β - sin α sin β

=√21/25 *1/3- 2/5*2√2/3

=√21/25- 4√2/15

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Answer:

d. [tex]\frac{4\sqrt{2}-\sqrt{21} }{15}[/tex]

Step-by-step explanation:

The lovely person in the comments was correct on Edge so i decided to put it as an answer in case anyone was looking for it!

Have a lovely day!

The answer is 3/25π m/h.

acc to our question-

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

hence,The answer is 3/25π m/h.

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