A police officer keeps record of 75 drivers at a stop sign.
They observe 21 people who came to a complete stop, 46
who made a rolling stop, and 8 who did not appear to
brake at all. What is the probability that a randomly
selected driver will come to a complete stop? Write your
answer as a percent?

Area of a triangle = 1/2 x height x base

Area = 1/2 x 6 x 14 = 42 sq. Cm

Answer:

42

Step-by-step explanation:

14 x 6 = 84 so 84 divided by 2 is 42 I don't know why the 11 is there though so you might want to wait for other responses.

Step-by-step explanation:

\( \because \sqrt{18} = 4.24264069 \\ \\ \therefore \: 4 < 4.24264069 < 5 \\ \\ \therefore \: 4 < \sqrt{18} < 5 \\ \\ \sqrt{18} \: fall \: between \: 4 \: and \: 5 \\ \\ \because \sqrt{18} = 4.24264069 \approx \: 4 \\ \\ \therefore \: 4 \: is \: closer \: to \: \sqrt{18} \)

5/6 can be written as a product of a whole number and a unit as 1 × 5/6.

To write 5/6 as a product of a whole number and a unit,

we can multiply both the numerator and the denominator by the same number until the numerator becomes a whole number.

Here are the steps:

Step 1: Multiply both the numerator and denominator by 6, so that the denominator becomes 6.5/6 x 6/6 = 30/36.

Step 2: Reduce the fraction to its lowest terms.

We can do this by dividing both the numerator and denominator by their greatest common factor (GCF),

which is 6.30/36 ÷ 6/6 = 5/6

Therefore, we can write 5/6 as the product of a whole number and a unit by multiplying it by 1:5/6 = 1 x 5/6

Thus, 5/6 can be written as a product of a whole number and a unit as 1 × 5/6.

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Answer:

A=44 B=68

Step-by-step explanation:

There are two congruent sides, therefore the corresponding angles are also congruent.

Answer:

a and b both are 56 degree

Step-by-step explanation:

this is due to it's isosceles triangle. So, we take (180-68):2

Constructive criticism refers to feedback or advice given in a positive and collaborative manner with the intention of improving a specific outcome or behavior.

Constructive criticism refers to feedback or advice given in a positive and collaborative manner with the intention of improving a specific outcome or behavior. It involves providing specific and actionable feedback that is timely and favorable to the individual receiving it, with the goal of helping them improve their performance or achieve a particular objective.

Unconstructive criticism, on the other hand, is feedback that is negative, unhelpful, or delivered in a manner that is not collaborative or respectful. It may focus on faults or mistakes without offering solutions or guidance on how to improve, and may be delivered in a way that is hurtful or demotivating to the person receiving it.

It's important to remember that constructive criticism should always be delivered in a positive and supportive manner, with the aim of helping the individual improve and succeed. Providing feedback in a way that is respectful, specific, and actionable can help build trust and foster a positive working relationship between individuals, while also driving better outcomes and results.

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The Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

To find the Wronskian of y1 = e^(3x) and y2 = e^(-7x), we can use the formula for calculating the Wronskian of two functions. Let's denote the Wronskian as W(y1, y2).

The formula for calculating the Wronskian of two functions y1(x) and y2(x) is given by:

W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x)

Let's calculate the derivatives of y1 and y2:

y1(x) = e^(3x)

y1'(x) = 3e^(3x)

y2(x) = e^(-7x)

y2'(x) = -7e^(-7x)

Now, substitute these values into the Wronskian formula:

W(y1, y2) = e^(3x) * (-7e^(-7x)) - (3e^(3x)) * e^(-7x)

= -7e^(3x - 7x) - 3e^(3x - 7x)

= -7e^(-4x) - 3e^(-4x)

= (-7 - 3)e^(-4x)

= -10e^(-4x)

So, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) is W(y1, y2) = -10e^(-4x).

Note that the order of the functions matters in the Wronskian calculation. If we were to reverse the order and calculate W(y2, y1), the result would be the negative of the previous Wronskian:

W(y2, y1) = -W(y1, y2) = 10e^(-4x).

Since the Wronskian is a constant value regardless of the interval (-∞, ∞) in this case, we can evaluate it at any point. For simplicity, let's evaluate it at x = 0:

W(y1, y2) = 10e^(0)

= 10

Therefore, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

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Answer:

Hi!

The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).

Hope this helps!

xx gloriouspurpose xx

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Given differential equation isyy' + x = Vz? + j'with initial value y(5) = 739. + y() .To solve the above differential equation, we need to use the substitutionu = y'......(1)Differentiating u w.r.t x,

Now, using equations (1), (2) and (3), we can write the given differential equation in terms of u and u'

asyy' + x = Vz? + j'y(u) + xu' - u = Vz? + j'......(4)As y(5) = 739, so substituting x = 5 and y = 739 in equation

(4), we get739y'(5) + 5u(5) - u(5) = Vz? + j'739y'(5) + 4u(5) = Vz? + j'Now, to solve the differential equation in equation (4), we can use the integrating factor method. The integrating factor for equation (4) is given by,\

I.F. = e^(∫(1/x) dx) = e^ln|x| = |x|

Therefore, multiplying equation (4) by the integrating factor,

we get|x|y(u) + x^2u'(x) - x|u(x) = |x|Vz? + j'......

(5)Integrating both sides of equation

(5) w.r.t x, we get∫(|x|y(u) + x^2u'(x) - x|u(x)) dx = ∫(|x|Vz? + j') dxOn solving the above integrals,

we gety(x) = (C1/|x|) + x^2(C2/2) - x^2/4 + (Vz? + j')x + 2x^2where C1 and C2 are arbitrary constants.Using the initial value

y(5) = 739, we get739 = (C1/5) + (C2/2) - 25/4 + (Vz? + j')5^2 + 10*5^2On solving the above equation,

we getC1 = (3709/2) - 25(Vz? + j')C2 = (2229/25) - (739/10) - (50/9)(Vz? + j')

Therefore, the solution to the given initial value problem yy' + x = Vz? + j' with y

(5) = 739 isy(x) = (3709/2x) + x^2[(2229/25) - (739/10) - (50/9)(Vz? + j')] - x^2/4 + (Vz? + j')x + 2x^2

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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-------------

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The expression that best represents the phrase "16 times as many books" would be option B, which is "16-b".

Answer

C (Standard Deviation )is the ans

Answer:

Hope's its helps

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

im not sure i need points though

Step-by-step explanation:

The proof is given below

The steps are as follow:

p(x,y) = p'(-x,y)

A(-6,1) = A'(6,1)

AB is opposite side

A'B is adjacent side

Hence we can prove that triangle is right angle triangle

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Answer: n=6

Step-by-step explanation:

To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.

\(\frac{1}{5}(15)=\frac{1}{2}n\)

\(3=\frac{1}2}n\)                  [multiply both sides by 2]

\(n=6\)

1. The first hypothesis is called the null hypothesis (H₀), which states that the proportion of employees who want to continue working from home is equal to 0.75 (Ip = 0.75).

2. The second hypothesis is called the alternative hypothesis (H₁), which states that the proportion of employees who want to continue working from home is less than 0.75 (p < 0.75).

In this context, "p" stands for the population proportion of employees who want to continue working from home.

The alternative hypothesis (H₁) uses the "less than" sign because the researcher believes that the claimed value of 75% is too high, indicating a lower proportion of employees who want to continue working from home.

To compute the sample proportion (or), we divide the number of employees who want to continue working from home (693) by the total sample size (945):
or = 693/945 = 0.732 (rounded to three decimal places).

To compute the test statistic, we use the formula:
z = (or - Ip) / sqrt((Ip * (1 - Ip)) / n)

where or is the sample proportion, Ip is the hypothesized population proportion, and n is the sample size.

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Answer:

\(x=\sqrt{23}\)

Step-by-step explanation:

So the eqaution for the hypotonuse is \(a^{2}+b^{2} =c^{2}\)

Therefore...

\(\sqrt{16} +\sqrt{x^{2} }=\sqrt{27}\\ 4+x =\sqrt{27} \\x=\sqrt{23}\)

Answer: circumference

Step-by-step explanation: you’re welcome

Answer:

circumference because it

The pairs that are included in the set of solutions for y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).

If a point is located on a line of an equation, then the ordered pair of that point is defined as belonging to the set of solutions for the equation.

Given the equation, y = 1/2x + 3/2, the graph is plotted on a coordinate plane as shown below. It has a slope of 1/2, and a y-intercept of 3/2.

The graph shows that the following pair of the points are located on the line of y = 1/2x + 3/2:

Therefore, it is concluded that the pairs that are included as the solution to y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).

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Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

Answer:

The tax would be 8%

Step-by-step explanation:

4 + 8% = 4.32

Exploratory data analysis (EDA) is an approach to examining and analyzing data to generate insights, ideas, and hypotheses. It involves a variety of data visualization methods, such as plotting, which help to quickly identify patterns, trends, and outliers in the data.

When we do exploratory data analysis, we rely heavily on plotting the data. Exploratory data analysis (EDA) is an approach to examining and analyzing data in order to generate insights, ideas, and hypotheses that may guide subsequent research.

Exploratory data analysis is a crucial first step in most data analytics tasks, whether in scientific research or business applications. EDA methods are used to gain a better understanding of data characteristics such as distribution, frequency, and outliers. Exploratory data analysis typically involves a variety of data visualization methods, such as plotting, which help to quickly identify patterns, trends, and outliers in the data. EDA techniques can also help to identify important variables, relationships, and potential correlations among data points. By visualizing data in different ways, we can often discover patterns that we might not have seen otherwise, or that we might have overlooked with other techniques.

Therefore, when we do exploratory data analysis, we rely heavily on plotting the data to help us gain insights, find patterns, and identify relationships and correlations among variables.

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Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

We have here a case of a linear situation. We have that:

1. We have a fixed cost of $4.99.

2. And we need to add $0.30 for every ounce the package weighs.

The equation that represents the total cost of the shipping is:

We can see that per every ounce, we need to multiply it by $0.30 to obtain the total cost (plus the fixed cost of $4.99).

We expressed the equation in the slope-intercept form (y = mx +b).

Answer:

58.3333333333

Step-by-step explanation:

Answer:

-4×-1

Step-by-step explanation:

first answer: -4x-1

.............

Answer:

Confidence Level z*-value

90% 1.645 (by convention)

95% 1.96

98% 2.33

99% 2.58

Step-by-step explanation:

the difference in sample means is 0.1, and the upper end of the confidence interval is 0.1 + 0.1085 = 0.2085 while the lower end is 0.1 – 0.1085 = –0.0085.

Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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