ABC is a straight line, work out the size of angle x

Answer:

1000 times larger

Step-by-step explanation:

350,000 ÷ 350

1000

Answer:

2nd option

Step-by-step explanation:

Answer:

-1 1/2

Step-by-step explanation:

1.5 = 1 4/8 = 12/8

(-15/8 + 12/8) = -3/8

(15-14 3/4 = 1/4

-3/8 ÷ 1/4 = -3/8 × 4/1 = = -3/2 or -1 1/2

Answer:

1: 0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

2: 0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs

3: In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 22.8 lbs and a standard deviation of about 2.15 lbs.

This means that [tex]\mu = 22.8, \sigma = 2.15[/tex]

Part 1: Find the probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

This is the pvalue of Z when X = 25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 22.8}{2.15}[/tex]

[tex]Z = 1.02[/tex]

[tex]Z = 1.02[/tex] has a pvalue of 0.8461

0.8461 = 84.61% probability that a randomly selected 1-year old boy from the population will have a weight that is less than 25 lbs.

Part 2: Find the probability that the mean weight for a sample of size 10:

Now [tex]n = 10, s = \frac{2.15}{\sqrt{10}}[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{25 - 22.8}{\frac{2.15}{\sqrt{10}}}[/tex]

[tex]Z = 3.24[/tex]

[tex]Z = 3.24[/tex] has a pvalue of 0.9994

0.9994 = 99.94% probability that the mean weight for a sample of size 10 1-year-old boys will be less than 25 lbs

Part 3: Explain the difference between Part 1 and Part 2.

In part 2, we use the sampling distribution of the sample means, which has more values closer to the mean due to the smaller standard error, so a higher probability of finding a mean less than 25 lbs.

Answer:

5.18÷5=1.036 so round up to 1.04

Step-by-step explanation:

work is shown and pictured.

Answer:

x = 2.5

Step-by-step explanation:

It is given based on the topic that these are similar right triangles. Note the placement of the right angles. The 2 and x are base, while the 7.5 and 6 are hypotenuses. There are a couple of ways you can set the equation, but in this case I will set it as [tex]\frac{base}{hypotenuse}[/tex]

Set the equation:

[tex]\frac{2}{6} = \frac{x}{7.5}[/tex]

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 6 and 7.5 to both sides of the equation:

[tex]7.5 * 6 * (\frac{2}{6}) = (\frac{x}{7.5}) * 6 * 7.5\\7.5 * 2 = x * 6[/tex]

Simplify. First, multiply, then isolate the x by dividing 6 from both sides:

[tex]7.5 * 2 = 6x\\15 = 6x\\\frac{15}{6} = \frac{6x}{6} \\x = \frac{15}{6} = 2.5[/tex]

Plug in 2.5 for x in the equation to see if the equation comes out true:

[tex]\frac{2}{6} = \frac{2.5}{7.5}\\[/tex]

Multiply 6 and 7.5 to both sides of the equation:

[tex]6 * 7.5 * \frac{2}{6} = \frac{2.5}{7.5} * 7.5 * 6\\7.5 * 2 = 2.5 * 6\\15 = 15[/tex](True)

~

2.5 is your answer for x.

~

Answer:

17/6 or 2.83 if simplified

Answer:

Plzzzz answer fast......

Answer:

Less

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094

Could you add more information like the picture of the figure where these lines are from?

Answer:

I need more info to answer this question.

Step-by-step explanation:

Answer:

-17  or (-12) - 5

Step-by-step explanation:

Mark me brainllest

Answer: A and C are the correct answers

Step-by-step explanation:

Your welcome ;)

The possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Mean absolute deviation (MAD) is a way to describe variation in a data set. It is the average distance between each data value and the mean.

For the given situation,

Tim drives the Grand Avenue bus route. He records the total number of passengers each week for 4 weeks. The details are

Mean = 17,123 and

Mean absolute deviation = 611

The possible numbers of riders for week 5 that are within the mean absolute deviation can be calculated by adding and subtracting the MAD value with the mean value.

[tex]17123-611=16512[/tex]

[tex]17123+611=17734[/tex]

Thus the range should lie between [tex]16512[/tex] and [tex]17734[/tex]. The possible numbers of riders for week 5 that are within the mean absolute deviation are 16809 and 17724.

Hence we can conclude that the possible numbers of riders for week 5 are option (B) 16809 and option (C) 17724 is the correct answer.

Learn more about mean and  mean absolute deviation here

https://brainly.com/question/17846118

#SPJ2

Answer:

(a^b)^c

=a^bc

so

7^24 is the answer

1.915812 × 10^20

Step-by-step explanation:

7^24

7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7×7

Answer:

1.75

Step-by-step explanation:

just check and that person was wrong

Answer: 1.75%

Step-by-step explanation: new value: $51.09

51.09+0.91=\$52.00

Old value: 51.09+0.91=$52.00

52(1-r)=51.09

52(1−r)=51.09

{52(1-r)}{52} ={51.09}{52}

52

52(1−r)

​

= 1.75%

Answer:

H)  y = 2x

Step-by-step explanation:

Answer:

8 is your answer plz make me barinly least

Answer:

-4-3-2-1

Step-by-step explanation:

the answer is -4-3-2-1

Answer:

10

Explanation:

1 0  −  6 0  +  2 1 =  2  +  4 1

1 0  −  3 9  = 2  +  4 1

1 0 −  3 9  +  3 9  =  2  +  4 1  +  3 9

x = 10

Answer:

50 species every day

Step-by-step explanation:

Answer:

0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The length of waiting time was found to be a variable best approximated by an exponential distribution with a mean length of waiting time equal to 3 minutes.

This means that [tex]m = 3, \mu = \frac{1}{3}[/tex]

What proportion of customers having to hold more than 4.5 minutes will hang up before placing an order?

This is:

[tex]P(X > 4.5) = e^{-\frac{1}{3}*4.5} = e^{-\frac{4.5}{3}} = e^{-1.5} = 0.2231[/tex]

0.2231 = 22.31% of customers having to hold more than 4.5 minutes will hang up before placing an order

Answer:

the answer is in the photo

Step-by-step explanation:

Answer:

index

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Hope this helps

Answer: Y-8=5X  Y=-87  -87-8=5X  -95=5x  -95 divided by 5 = -19

X= -19

Step-by-step explanation:Quick mafs

Answer:

coordinates of M will be (4, [tex]\frac{13}{2}[/tex])

Step-by-step explanation:-

To find the coordinates of the midpoint, we can use this equation:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

M is the midpoint of AC, where A is (2,3) and B is (6, 10)

So, x1 will be 2,

x2 will be 6

y1 will be 3

and y2 will be 10.

So, substituting these in the equation, we get:-

[tex]\frac{2 + 6}{2} , \frac{3+10}{2}[/tex]

[tex]\frac{8}{2} , \frac{13}{2}[/tex]

4, [tex]\frac{13}{2}[/tex]

So, the coordinates of the point M will be 4, [tex]\frac{13}{2}[/tex]

Answer:

50.26 if you use 3.14 for pi

50.35 if you use 3.15 for pi

Step-by-step explanation:

First, we find the circumference of the circle in the center.

(15 - 3 - 3)/2 = 4.5

4.5 is the radius

Equation for circumference: 2*pi*r

2*pi*4.5

9pi

Depending on where you normally use 3.14 or 3.15 for pi changes the answer but for this example I will use 3.14

The circumference of the circle is 28.26

Next, add the other sides of the figure.

28.26 + 3 + 3 + 3 + 3 + 5 + 5 = 50.26