Here is a set of data showing the test scores for US History class:


56, 88, 70, 72, 90, 85, 99, 65, 66, 54, 74, 85, 91, 92, 72, 88, 97, 62, 88 Create a stem and leaf plot to show this data. Hint: Decide how many stems you will need.


can somebody help me ?

The measure of the angle x is 32 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle given in the diagram.

To find the measure of the angle x we must apply the sin law of triangle.

\(\rm \dfrac{17}{sin116} = \dfrac{10}{sinx}\)

Sinx = 10(sin116)/17

Sinx = 0.528

x = 31.91 ≈ 32 degree

Thus, the measure of the angle x is 32 degree after applying the sin law of triangle.

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Multiply both sides by -3

Answer:

x = 2700 y=2900

Step-by-step explanation:

x+y = 5600

5/100 x + 9/100 y = 396

x+y=5600

5x+9y=39600

5x+5y = 28000

5x+9y=39600

-4y = -11600

y= 2900

x = 5600-2900 = 2700

Answer:

And you bring a smile, upon every golden flower.

    ~ Isimpfortnpu

we have the following:

the priority is multiplication and division:

now if the additions and subtraction

the result is 53674.63

Answer:

(405x ^ 7)²

405²x^14

164025x^14 is a square of 405x ^ 7

Step-by-step explanation:

Note that where in triangle ABC, m∠A = 70° and m∠8=35" the dimension that are similar to the above is: Option A  ΔPQR, in which m∠P = 70° and m∠R= 75°

Note that for the triangles to be similar, they  must have the same internal angles or angles in a similar ratio.

We know that the angles 70° and 35°. By subtracting these from ΔABC we get the third angle which is ∠75°

So since to be a similar triangle, they must have the same angles, note that he only triangle with similar properties is ΔPQR because:

m∠P = 70° and m∠R= 75°.

180 - (70+75) = 35°

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Answer: 8

Step-by-step explanation:

\(\frac{180(n-2)}{n}=135\\180(n-2)=135n\\180n-360=135n\\-360=-45n\\n=\boxed{8}\)

We have to replace x by the first value of the ordered pair in this case 0. And replace y by the second value of the ordered pair in this case is 0. So we get the following question.

as 0 is not less than -4 we get that (0,0) is not a solution of the inequality

Answer: 2

Step-by-step explanation: because it timed the seconde one so that is why its 2

hope the answer helped :)

y = 3x - 5 is the equation of the hyperbola in two functions

The equation of the hyperbola in two functions, with y as a function of x, we first need to convert the given equation into standard form.

The standard equation of the hyperbola is given by:

\(\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\)

Where (h, k) is the center of the hyperbola, a is the distance between the center and the vertex on the x-axis, and b is the distance between the center and the vertex on the y-axis.

In the given equation,

\(\frac{(x-2)^2}{4}-\frac{(y-1)^2}{3}=1\)

Compared with the standard form, we get,

\(h = 2, k = 1, a^2 = 4, b^2 = 9, a = 2, b = 3,\) The center of the hyperbola is (2, 1).

So, the hyperbola opens horizontally since \(a^2\) is under x and not y.

We know that \(b^2 = c^2 - a^2\), where c is the distance between the center and the foci.

Since the hyperbola is given by \(\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\), the distance between the center and the foci is given by

\(c =\sqrt{a^2 + b^2\)

\(=\sqrt{4 + 9\)

\(= \sqrt{13\)

The coordinates of the foci are \((h \± c, k)\)

\(= (2 \± \sqrt{13}, \ 1)\)

Now, we need to express the equation of the hyperbola as two functions, with y as a function of x.

Let y be a function of x, y = f(x).

Now, for the hyperbola in terms of f(x), we can equate x with \(\frac{y-1}{3}\) and simplify.

This gives us:

\(x = \frac{y-1}{3} + 2\)

⇒ \(x - 2 = \frac{y-1}{3}\)

⇒ \(3x - 6 = y - 1\)

⇒ \(y = 3x - 5\)

Therefore, the equation of the hyperbola as two functions, with y as a function of x, is y = 3x - 5.

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The probability that exactly two or exactly three out of a random sample of five modems from the store's inventory are defective is 0.256.

To solve this problem, we can use the binomial distribution formula. Let X be the number of defective modems in a sample of 5 randomly selected modems. Then, we need to find P(2 <= X <= 3), which is the probability of having exactly 2 or exactly 3 defective modems in the sample.
To calculate the probability of a defective modem from source a, we can use the fact that 20% of the modems from this source are defective. So, the probability of selecting a defective modem from source a is 0.2. Similarly, the probability of selecting a defective modem from source b is 0.08.
Now, we can use the binomial distribution formula:
P(2 <= X <= 3) = P(X = 2) + P(X = 3)
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (5), k is the number of defective modems, and p is the probability of a defective modem.
P(X = 2) = (5 choose 2) * 0.2^2 * 0.8^3 = 0.2048
P(X = 3) = (5 choose 3) * 0.2^3 * 0.8^2 = 0.0512
Therefore, P(2 <= X <= 3) = 0.2048 + 0.0512 = 0.256.
In other words, the probability that exactly two or exactly three out of a random sample of five modems from the store's inventory are defective is 0.256.

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Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

What is the permutation?

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged.

Here given that,

Here are five airplanes ready to depart. runway \(A\) and runway \(D\) are available.

Number of ways to assign \(3\) planes to that runway is

\(^5C_3=^5C_2=10ways\)

Then for each group

Each group of three planes can be arranged in \(^3P_3=3!=6ways\)

Each group of three planes can be arranged in \(^2P_2=2!=2ways\)

So total number of arrangements are

\((2)(10)(6)(2)=240ways\)

Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

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The value of x from the equation is -1/ 5

An algebraic equation can be defined is any mathematical statement with two expressions set equal to each other.

The equation usually consists of a variable, coefficients and constants.

From the information given, we have;

8 - 5x - 5 - 10x = 6

collect like terms

- 5x - 10x = 6 - 8 + 5

Add like terms

- 15x = 3

Make 'x' the subject

x = 3/ -15

x = - 1/ 5

Thus, the value of x from the equation is -1/ 5

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Answer:

y=650+15x

Step-by-step explanation:

y=mx+b, b is starting amount, m is the multiplier for the x

uwu

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

4 is in the millions place.

Answer:

Consistent

Step-by-step explanation:

It was a solution.

Answer:

$441

Step-by-step explanation:

Since each ticket costs 10.50 and you buy 42 :

10.5 * 42 = 441

Answer:

17

Step-by-step explanation:

what's the value of y when x = -5?" Since x cannot = -5, then the answer is "null" or "does not exist". It's like saying "I have 4 US coins whose total value is 6 cents.

Answer:

x>-1

Step-by-step explanation:

Let's solve your inequality step-by-step.

13+4x>9

Step 1: Simplify both sides of the inequality.

4x+13>9

Step 2: Subtract 13 from both sides.

4x+13−13>9−13

4x>−4

Step 3: Divide both sides by 4.

4x/ 4 > −4/ 4

x>−1

Answer:

x>−1

Answer:

A,C,D

Step-by-step explanation:

requirement is an angle less than or equal to 4.8 degrees. which means 1:12 or less

1:15 is OK.

the one with 15 and 2, missing the leg - you can calculate by 15²-2² = 221

√221 = 14.87

2:14.87 is bigger than 1:12, so no go.

Required measures of the vertex angle ACE in the given isosceles trapezoid ABDE formed as a part of an isosceles triangle ACE is equal to 70°.

As given in the question,

In the isosceles triangle ACE,

Diagram is attached.

AC ≅CE

And isosceles trapezoid ABDE is a part of isosceles triangle ACE.

A-B-C and E - D- C

AB ≅ ED

BC ≅ DC

⇒∠DBC ≅ ∠BDC ( opposite angles to the equal sides )

It is a trapezoid one pair of side is parallel to each other,

⇒ BD || AE

Measure of ∠ABD = 125°

⇒∠ABD + ∠DBC = 180°

⇒∠DBC = 55°

⇒∠BDC = 55°

In ΔBDC,

∠BDC + ∠DBC + ∠DCB = 180°

⇒∠DCB = 70°

⇒∠ACE = 70° ( A-B -C , E- D - C )

Therefore, the measure of the vertex angle ACE in the given isosceles triangle with given conditions is equal to 70° .

The above question is incomplete, the complete question is:

The isosceles trapezoid ABDE is part of an isosceles triangle ACE. Find the measure of the vertex angle of ACE with given measure of angle ABD = 125°.

Diagram is attached.

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Angle of the ladder with the floor is 74.5°.

We have given that,

base of the ladder from the wall, x₀ = 2.70 m

top of the ladder above the floor y = 5.13 m

speed of the spaceship = 0.85 c

and we have to find the angle ladder makes with the floor, θ.

From the given information we will construct a diagram.

From the diagram,

tanθ = y/x₀

tanθ = y / x₀√(1- V^2 / c^2)

we will substitute all the values,

tanθ = 5.13 / 2.70√(1-((0.85c)^2 / c^2))

        = 5.13 / 2.70√(1-(0.85^2))

        = 5.13 / 2.70√(1 - 0.7225)

        = 5.13 / 2.70√0.2775

        = 5.13 / 1.4223

tanθ = 3.606

    θ = tan⁻¹(3.606)

    θ = 74.5°

Therefore angle the ladder makes with the floor is 74.5°.

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Answer:

-1

Step-by-step explanation:

(9 divided by 3) + 4 (6 - 7) =

(9 ÷ 3) + 4 (6 - 7) =

( 3 ) + 4 ( -1 ) =               Multiply 4 by -1

( 3 )  ( -4 ) =                   Subtract

-1

The correct option is B. influential point. An influential point refers to an observation or data point that has a significant impact on the results or conclusions of a statistical analysis.

The new observed data point is included in the set of bi-variate data.

You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. This new data point is probably an influential point.

An influential point is a data point that significantly impacts the results of the statistical analysis done. It can be an outlier, but not necessarily.

A single point can also influence the correlation coefficient, as well as the slope of the regression line. In general, an influential point has a high leverage, meaning that it has a greater impact on the model's predictions than other points.

The slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. So the new data point is an influential point.

Therefore, the correct option is B. influential point.

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Answer:

6

Just use a calculator

Answer:

y = 3 x + 7

Step-by-step explanation:

Line through (-2, 1) and (1, 10):

y = 3 x + 7

Answer:

Y = 3x + 7

Step-by-step explanation:

M = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

It is difficult to accurately predict the number of days a favorite radio or TV station will correctly forecast whether it will be cloudy over the next 30 days.

Forecasting weather accurately is a challenging task, and even the most advanced weather models are subject to errors. The accuracy of a station's forecasts depends on various factors such as the quality of their data sources, the skill and experience of their forecasters, and the complexity of the weather patterns in the region. Therefore, it is not possible to determine the exact number of days a station will make correct forecasts about whether it will be cloudy or not. However, it is important to note that modern weather forecasting has come a long way in recent years, and many stations now provide fairly accurate predictions. It is always a good idea to consult multiple sources and use personal judgment when making plans based on weather forecasts.

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Answer:

6:18 i think

Step-by-step explanation: