what is the name of this angle

Answer:

The right answer is "1.818".

Step-by-step explanation:

The given values are:

a = 0.1

[tex]\bar{x} = 94[/tex]

[tex]\mu = 90[/tex]

Now,

The test statistic will be:

⇒  [tex]t=\frac{\bar{x}-\mu}{\frac{s}{vn} }[/tex]

On substituting the given values, we get

⇒     [tex]=\frac{94-90}{\frac{22}{10} }[/tex]

⇒     [tex]=\frac{4}{2.2}[/tex]

⇒     [tex]=1.818[/tex]

Answers:

Domain = [-3, 3]

Range = [-1, 2]

=============================================

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that [tex]-3 \le x \le 3[/tex] meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

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

The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is [tex]-1 \le y \le 2[/tex] which converts to the interval notation of [-1, 2]

Answer:

a. 0.5 = 50% probability that the driver is selected as a medium-risk driver.

b. 0.3 = 30% probability that he has been classified as high-risk

c. 0.51 = 51% probability that at least one of them has been classified as high-risk.

Step-by-step explanation:

To solve this question, we need to understand conditional probability, for items a and b, and the binomial distribution, for item c.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a. If a driver had an accident during the year, find the probability that the driver is selected as a medium-risk driver.

Event A: Had an accident

Event B: Medium-risk driver

Probability of having an accident:

0.01 of 0.6(low risk)

0.05 of 0.3(medium risk)

0.09 of 0.1(high risk)

So

[tex]P(A) = 0.01*0.6 + 0.05*0.3 + 0.09*0.1 = 0.03[/tex]

Probability of having an accident and being a medium risk driver:

0.05 of 0.3. So

[tex]P(A \cap B) = 0.05*0.3 = 0.015[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.03} = 0.5[/tex]

0.5 = 50% probability that the driver is selected as a medium-risk driver.

b. If a driver who had an accident during the I-year period is selected, what is the probability that he has been classified as high-risk?

Event A: Had an accident

Event B: High risk driver.

From the previous item, we already know that P(A) = 0.03.

Probability of having an accident and being a high risk driver is 0.09 of 0.1. So

[tex]P(A \cap B) = 0.1*0.09 = 0.009[/tex]

The probability is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.03} = 0.3[/tex]

0.3 = 30% probability that he has been classified as high-risk

c. If two drivers who had an accident during the I -year period are selected, what is the probability that at least one of them has been classified as high-risk?

0.3 are classified as high risk, which means that [tex]p = 0.3[/tex]

Two accidents mean that [tex]n = 2[/tex]

This probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.3)^{0}.(0.7)^{2} = 0.49[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.49 = 0.51[/tex]

0.51 = 51% probability that at least one of them has been classified as high-risk.

Answer:

5.83

Step-by-step explanation:

Using Pythagoras Theorem,

[tex] \sqrt{ {5}^{2} + {3}^{2} } [/tex]

[tex] = \sqrt{34} [/tex]

[tex] = 5.83095...[/tex]

= 5.83 units (rounded to the nearest hundredth) +

Answer:

angle classification is acute

side classification is equilateral

Step-by-step explanation:

Answer:

Prism surface area: 1,271cm

Base area: 66cm

Lateral: 1,139cm

Answer:

8

Step-by-step explanation:

Answer:

whats the answer? And equation?

Step-by-step explanation:

Answer:

[tex]length = (8 + x) \: feet\\ width = x \: feet \\ area = length \times width \\ 33 = (8 + x)x \\ 33 = 8x + {x}^{2} \\ {x}^{2} + 8x - 33 = 0 \\ (x - 3)(x + 11) = 0 \\ (x + 11) \: is \: neglected \: since \: it \: is \: negative \\ therefore : x = 3 \\ dimensions \\ length = (8 + 3) = 11 \: feet \\ width = 3 \: feet[/tex]

Let's find common denominator first,

5/7= 15/21

2/3= 14/21

now substract them; 15/21 - 14/21 = 1/21

Hence 5/7 is 1/21 bigger than 2/3!

Answer:

Howard stark or Howard the duck?

Soln,

Area of Parallelogram= B.H

= 6.14

=84 https://tex.z-dn.net/?f=in%5E%7B2%7D%20

Answer:

14.7 cm

Step-by-step explanation:

Using Pythagoras Theorem,

The length of the other leg

[tex] = \sqrt{ {19}^{2} - {12}^{2} } [/tex]

[tex] = \sqrt{217} [/tex]

[tex] = 14.730919...[/tex]

= 14.7 cm (rounded to the nearest tenth)

Answer:

The sales tax would be $6.71 :)

Step-by-step explanation:

110 x 0.061 = 6.71

116.71

Step-by-step explanation:

if the tax rate is 6.1 that wiild equal 6.71 then you would add 6.71 to 110 which the answer would be 116.71

count the number of triangles,calculate the area then multiply by the no of triangles and again back to rectangle

Answer:

Step-by-step explanation:

From the given information:

The total number of wine = 9 + 10 + 12 = 31

(1)

The number of distinct sequences used for serving any five wines can be estimated by using the permutation of the number of total wines with the number of wines served.

i.e

= [tex]^{31}P_5[/tex]

[tex]=\dfrac{31!}{(31-5)!}[/tex]

[tex]=\dfrac{31!}{(26)!}[/tex]

[tex]=\dfrac{31\times 30\times 29\times 28\times 27\times 26!}{(26)!}[/tex]

= 20389320

(2)

If the first two wines served = zinfandel and the last three is either merlot or cabernet;

Then, the no of ways we can achieve this is:

= [tex]^9P_2\times ^{22}P_3[/tex]

[tex]= \dfrac{9!}{(9-2)!}\times \dfrac{22!}{(22-3)!}[/tex]

[tex]= \dfrac{9!}{(7)!}\times \dfrac{22!}{(19)!}[/tex]

[tex]= \dfrac{9*8*7!}{(7)!}\times \dfrac{22*21*20*19!}{(19)!}[/tex]

= 665280

(3)

The probability that no zinfandel is served is computed as follows:

Total wines (with zinfandel exclusion) = 31 - 9 = 22

Now;

the required probability is:

[tex]= \dfrac{^{22}P_5 }{^{31}P_5}[/tex]

[tex]= \dfrac{\dfrac{22!}{(22-5)!} } {\dfrac{31!}{(31-5)!} }[/tex]

[tex]= \dfrac{\dfrac{22!}{17!} } {\dfrac{31!}{(26)! }}[/tex]

[tex]= \dfrac{(\dfrac{22*21*20*19*18*17!}{17!})} {(\dfrac{31*30*29*28*27*26!}{(26)! })}[/tex]

= 0.1549

≅ 0.155

Answer:

3(9)+20=47

Step-by-step explanation:

47 inches after 9 weeks

Answer:

I Can Help!

Step-by-step explanation:

The First Option and The Second to Last

Answer:

The median would be 5

Step-by-step explanation:

You could slash out the dots to get 5.

Answer:

5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

sorry if wrong plz give brainliest thank and like!

Answer:

look at the picture i sent

Answer:

the extra big numbers can be written easily by the scientific notation

Answer:

Scientific Notation was developed in order to easily represent numbers that are either very large or very small.

Step-by-step explanation:

Answer:

A = 46%

B = 72%

Step-by-step explanation:

Answer:

123847323247647525547824817703412

Answer:

16: 5.934 radians

17: 300 degrees

18: 4.188 radians

19: 130 degrees

Answer:

Function that fits the points [tex](0,5),\,(2,-13)[/tex] is given by [tex]x+9y=45[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)=(0,5),\,(x_2,y_2)=(2,-13)[/tex]

Slope of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given by [tex]m=\frac{x_2-x_1}{y_2-y_1}[/tex]

[tex]=\frac{2-0}{-13-5}[/tex]

[tex]=\frac{2}{-18}[/tex]

[tex]=\frac{-1}{9}[/tex]

Equation of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given as follows:

[tex]y-y_1=m (x-x_1)[/tex]

[tex]y-5=\frac{-1}{9}(x-0)\\y-5=\frac{-1}{9}x\\9(y-5)=-x\\9y-45=-x\\x+9y=45[/tex]

Answer:

60 cm^2

Step-by-step explanation:

Answer:

Area = 60

Step-by-step explanation:

Formula: bh/2

15*8/2

120/2

= 60

Step-by-step explanation:

(x²-x+5x-5)(x+2)

(x²+4x-5)(x+2)

x³+2x²+4x²+8x-5x-10

x³+6x²+3x-10