What is 9 x 10 HELP MEE IM IN 3RD GRADE PLZ HELP!!!!!!!!!!!!!!

Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!

The statement "the t distribution is a family of similar probability distributions" is True.

The t-distribution is indeed a family of similar probability distributions. It is used in statistics to model the distribution of a random variable when the sample size is small and the population standard deviation is unknown. The shape of the t-distribution depends on the degrees of freedom, which is determined by the sample size. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution.

The t-distribution is symmetric and bell-shaped like the normal distribution, but it has heavier tails, which means it has more probability in the tails and less in the center compared to the normal distribution. The t-distribution plays a crucial role in hypothesis testing and constructing confidence intervals when working with small samples.

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The rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

Transformation of a figure is to change the size, shape or the position of a figure to create a new figure for required use.

The reflection of a plane or shape is flipping the original figure with respect to a reference line. The rule of reflection about x and y-axis is given below,

The given figure in the graph is reflected about y-axis. Thus, the rule for the transformation is,

\(f(x , y) = (-x , y)\)

Hence, the rule for the transformation for the provided figure shown in the graph is f(x , y) = (y , x), as it is

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Answer:

$25.96

Step-by-step explanation:

The amount Ming pays the cab driver = $22+18%of $22

First find 18% of $22 = 18/100 x 22 = $3.96

Next find the sum of the 2 values: 22+3.96 = 25.96.

Hope this helps.

Good Luck

The equation of the circle centered at (-5, 10) with a radius of 13 is (x + 5)^2 + (y - 10)^2 = 169.

The equation of a circle centered at (h, k) with a radius of r is given by the equation:

(x - h)^2 + (y - k)^2 = r^2

In this case, the circle is centered at (-5, 10) and has a radius of 13. Plugging these values into the equation, we get:

(x - (-5))^2 + (y - 10)^2 = 13^2

Simplifying further:

(x + 5)^2 + (y - 10)^2 = 169

Therefore, the equation of the circle centered at (-5, 10) with a radius of 13 is (x + 5)^2 + (y - 10)^2 = 169.

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The minimum score needed to be in the top 2% of the exam is 90.5, which is two standard deviations above the mean.

To calculate the minimum score needed to be in the top 2%, we need to find the value of two standard deviations above the mean. This can be done using the formula x = μ + (2σ), where μ represents the mean and σ represents the standard deviation. In this case, μ = 76.4 and σ = 6.1. We substitute these values into the formula to get x = 76.4 + (2*6.1), which equals 90.5. Therefore, the minimum score needed to be in the top 2% is 90.5. To further understand this calculation, it is important to note that the normal distribution curve is symmetrical. This means that the area under the curve that is two standard deviations above the mean is 2%, which is the same as the area under the curve that is two standard deviations below the mean. Therefore, the score that is two standard deviations above the mean is the minimum score needed to be in the top 2%.

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For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

Add (6) to both sides:

So, the answer will be the number is 18

The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

answer c p=2

Step-by-step explanation:

because its equal to five

Answer: a = 110° b = 70°

Step-by-step explanation:

Let’s call the angle with 110° ‘c’.

C would be the same as a as they are congruent which means ‘a’ would be 110°. Because ‘a’ and ‘b’ are on the same line and angles on a straight line add up to 180°, if you did 180° - 110°, it would find the answer to ‘b’, which is 70°. Another way to look at this is that ‘c’ and ‘b’ would add up to 180° as well.

Answer:

Find the relative frequency for the event ​"heads​" for each friend:

Friend 1: 0.59 (41/70)

Friend 2: 0.7 (49/70)

Friend 3: 0.37 (26/70)

If the friends combine their results to get 116 heads and 94 ​tails, what is the relative frequency for the event ​"heads​"?

0.55 (116/210)

Suppose each friend flips a coin 700 times. Is there a value you would expect the relative frequency for the event ​"​heads" to be close​ to?

For Friend 1, basing it off the 0.59 frequency from earlier, I would expect the heads to be around 413.

Friend 2, 490

Friend 3, 259

To find the area of the region common to the circles \(r = -6\sin(\theta)\) and \(r = 3\), we need to determine the bounds of integration for \(\theta\) and then integrate the appropriate area formula.

First, let's find the values of \(\theta\) where the two circles intersect. Set the equations of the circles equal to each other:

\(-6\sin(\theta) = 3\)

Dividing both sides by -6 and taking the inverse sine:

\(\sin(\theta) = -\frac{1}{2}\)

This equation is satisfied for two values of \(\theta\) in the interval \([0, 2\pi)\): \(\theta = \frac{7\pi}{6}\) and \(\theta = \frac{11\pi}{6}\).

Now, we can calculate the area of the common region using the integral:

\[A = \int_{\theta_1}^{\theta_2} \frac{1}{2} \left((r_1)^2 - (r_2)^2\right) d\theta\]

where \(r_1 = -6\sin(\theta)\), \(r_2 = 3\), and \(\theta_1 = \frac{7\pi}{6}\), \(\theta_2 = \frac{11\pi}{6}\).

Plugging in the values and simplifying, we have:

\[A = \int_{\frac{7\pi}{6}}^{\frac{11\pi}{6}} \frac{1}{2} \left((-6\sin(\theta))^2 - 3^2\right) d\theta\]

\[A = \int_{\frac{7\pi}{6}}^{\frac{11\pi}{6}} \frac{1}{2} \left(36\sin^2(\theta) - 9\right) d\theta\]

Now, we can integrate this expression with respect to \(\theta\) over the given bounds to find the area.

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Step-by-step explanation: Notice that we have a 30° angle and we're given that the side opposite the 30° angle has a length of h and the side adjacent to the 30° angle has a length of 18.

Remember than \(tan =\) \(\frac{opp}{adj}\) so we can setup the equation tan 30° = h/18.

Solving for h, we multiply both sides of the

equation by 18 and we have (18)(tan 30°) = h.

From here, we enter this into our calculator to get 10.3923 or 10.4.

Instead of using trigonometry here, we could have also noticed that this is a special right triangle, a 30° - 60° - 90° triangle, which means that the long leg is √3 times the length of the short leg, so we could have setup an equation to find the value of h. Either way should be acceptable.

Therefore the probability that  she buys at least one of the previous items is 0.1333

The area of mathematics known as probability deals with numerical descriptions of the likelihood that an event will occur or that a statement is true .A number between 0 and 1 is the likelihood of an event, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes its certainty.

Given:

event A: she buys  red dress.

event B: she buys a blue dress.

event C: she buys a necklace.

the probability she will buy a red dress is 0.2,

the probability she will buy a blue dress is 0.4

there is 10% chance  she will buy a necklace =0.10

The probability she wants to buy at most one dress,

P(A or B or C) =0.2 +0.4 +0.1 -(0.08 -0.04 -0.02 +0.08)

P(A or B or C) =0.568

the probability she buys at least one of the previous items is

\(\frac{P(A or B or C)}{P(AorB andC)}\) = \(\frac{0.2 * 0.1 * 0.4}{(0.2 * 0.1)+(0.1 *0.4)}\)

 \(\frac{P(A or B or C)}{P(AorB andC)}\)= 2/15 =0.133

Therefore the probability that  she buys at least one of the previous items is 0.1333

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Answer:

1.08 • 10⁴ = 10,800

Step-by-step explanation:

Step-by-step explanation:

Statements

1.RA equal RB

2.RP equal RP

3.RA is perpendicular to AP, RB is perpendicular to PB

4.right triangle RAP is congruent to Right triangle RBP

5.PA equal PB

Reasons

1.radii of same circle are equal

2.Reflexitive

3.Radius is perpendicular to tangent

4.HL

5 CPCTC

Answer:

RA = RB ----- radii of the same circles are =

RP = RP ----- reflexive

RA ⊥ AP, RB ⊥ PB ----- Radius congruent to tangent

rtΔ RAP ≅ rtΔ RBP ----- HL

PA = PB ----- CPCTE

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

s= 7/4

y=14

Step-by-step explanation:

Answer:

The rate at which the snow was melting per hour

Step-by-step explanation:

by definition a capable process is one that is operating at the so called  capability sigma level

The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly different when it comes to the number of defects present, which is a true statement because as we know process sigma indicates the process variation and is measured in terms of data units, while process sigma count Z, or process sigma level, is a count with no unit of measure and sigma is a statistical term that measures how much a process varies from perfection, based on the number of defects per million units. And also we know that a six sigma process is 1 in which 99.99966 percent of all chances to provide some characteristics of a part are statistically assumed to be free regarding defects.

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We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.

Since a complete turn around the circle has 360º, we have the following proportion:

Number of students Angle

734 360º

442 x

Then, cross multiplying the above values, we obtain:

Answer: 217º

Answer:

217°

Step-by-step explanation:

The fraction of students taking math is   442/734

 we need this same fraction of the 360 degrees in a circle

442/734 * 360 = 217°

The percent of increase in her overall earnings from 2011 to 2012 is,

⇒ 15.1%

We have to given that;

In 2011, Karen’s base salary was 52,500 and she earned and end of year bonus of 6,250.

And, In 2012 her base salary was raised to 56,300 and her end of year bonus was 4,100.

Hence, We get;

Starting salary in 2011 is,

⇒ 52,500

And, Salary in 2012 is,

⇒ 56,300 + 4,100

⇒ 60,400

We also know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Hence, The percent of increase in her overall earnings from 2011 to 2012 is,

⇒ (60, 400 - 52,500) / (52,500)  x 100

⇒ 7900/52,500  x 100

⇒ 0.1505 x 100

⇒ 15.1%

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Answer:

360 pieces

Step-by-step explanation:

Answer:

a.) 12 + x = < -8

b.) x + -8 > 12

c.) -8 - x < 12

Answer:

ye you have it correct

Step-by-step explanation:

it shows 2 gs fitting into 20

g=10 btw

When examining the linear relationship between two numerical variables, correlation is used.

It calculates how powerful statistics are. The direction and strength of relationships between variables are studied and measured through correlation, which quantifies co-variation rather than causality. As a result, we must never assume that correlation implies a cause-and-effect relationship.

For instance, when two variables X and Y are found to change in one direction, the other variable's value is discovered to change either in the same direction (i.e., a positive change) or in the opposite direction. This relationship is known as a correlation (i.e. negative change).

On graph paper, a straight line can be used to depict how the two variables move with respect to one another if a correlation exists because it is linear.

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Parallel method comes out to be each line segment were rays that are parallel to both of the line segments.

In Euclidean geometry, a parallelogram is a simple hexagon with two different groups of equal distances. A specific kind of quadrilateral that occurs when both sets of two corners occupy a horizontal path equal is known as a parallelogram. Parallelograms come in four different varieties, three of which are mutually exclusive. Rectangles, squares, parallelograms, & squares are the four distinct forms.

Here,

Here is an illustration of two parallel line segments and

two rays that are parallel to both line segments:

The two horizontal lines in this diagram are parallel to one another since they don't cross each other anywhere.

As they make right angles with both of the horizontal lines, the vertical lines that begin at the ends of each line segment were rays that are parallel to both of the line segments.

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