Points cuz it’s the holidays,, stay safe !

Answer:

mode = 17

Step-by-step explanation:

mode is the most common appearance of numbers in a dataset.

17 has 5 appearances

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Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

Answer:

9

Step-by-step explanation:

I divided 45 by 5 and got 9

Answer:

9

Step-by-step explanation:

45 divided by 5 means, split 45 into 5 groups. Which should get you 9 cars per day.

Answer:

The 95% confidence interval is  [tex] 101.13  <  \mu < 104.87  [/tex]

The 99% confidence interval is  [tex] 100.54  <  \mu < 105.46   [/tex]

Step-by-step explanation:

From the question we are told that

   The  sample size is  n = 110

    The sample mean is  [tex]\= x = 103 \ mg[/tex]

     The population standard deviation is  [tex]\sigma = 10 \ mg[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =1.8688 [/tex]    

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 1.8688 <  \mu < 103 + 1.8688 [/tex]

=>   [tex] 101.13  <  \mu < 104.87  [/tex]

Considering question b

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 10 }{\sqrt{110} }[/tex]

=>    [tex]E =2.4599  [/tex]    

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>  [tex]103 - 2.4599 <  \mu <103 + 2.4599  [/tex]

=>   [tex] 100.54  <  \mu < 105.46   [/tex]

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

Answer:

2.14?

Step-by-step explanation:

(I'm not good at explaining, but I THINK its 2.14)

Answer:

Do u mind reposting ur question-? I dont quite undersatnd what u're asking ;-;

Step-by-step explanation:

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

[tex]f(x) = 2/3x +3[/tex]

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

[tex]f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9[/tex]

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

Answer:

Option (D) is correct.

Step-by-step explanation:

A function can be termed as a process from a set of x values to a set of possible y-values where each x-value relates to exactly one y-value.

In other words, a relation can only be a function there is no repetition of x-values. It means a relation can not have duplicated inputs.

Given the sets

Set A: (5,2), (4, 3), (3, 4), (2,5)

Set B: (-1,-6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8,4)

It is clear that sets A and B represent the function because, in these sets, each x-value relates to exactly one y-value. In other words, there are no duplicated inputs.

But, set C has duplicated inputs i.e. x = 2 is repeated twice, and a function can not have a repeated input.

Therefore, we conclude that set A and set B represent a function.

Thus, option (D) is correct.

Answer: inconsistent

Step-by-step explanation:

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

Answer:

i looked it up

Step-by-step explanation:

Answer:

AE = 12 units

Step-by-step explanation:

ce is the same unit as AE

Answer:

C: 12 units

Step-by-step explanation:

To my best understanding, you're given that

[tex]\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r=6\text{ and }\int_{C_2}\vec F\cdot\mathrm d\vec r=13[/tex]

where C₁ and C₂ are some arbitrary paths, evidently starting at the point P and ending at the point Q, and you have to find the value of

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r[/tex]

where C is the path consisting of C₁ (from P to Q) and the reverse of C₂ (from Q back to P). So we have

[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{C_1}\vec F\cdot\mathrm d\vec r - \int_{C_2}\vec F\cdot\mathrm d\vec r = 6-13 = \boxed{-7}[/tex]

Answer:

$

Step-by-step explanation:

Unit conversion is the conversion of one unit to another unit with its standard conversion.

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

The number of nickels is 5.

The number of dimes is  15.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

Now,

Let,

Dimes = 3x

Nickels = x

Now,

The total number of cents.

10(3x) + 5x = 180

30x + 5x = 180

35x = 180

x = 5.14

x = 5

Now,

3x = 3 x 5 = 15

Thus,

The number of nickels is 5.

The number of dimes is  15.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer:

one

Step-by-step explanation:

Answer:

Length = 18 inches

Width = 12 inches

Step-by-step explanation:

Let the Length be 3x and width be 2x

Area= Length*Width=216 inches squared

216=3x*2x

216=6x²

x²=216/6

x²=36

x=√36

x=6 inches

Therefore

Length = 3x = 3*6 = 18 inches

Width = 2x = 2*6 = 12 inches

Answer: Mean = 7.8

              Median = 9

             Mode = 2,9

Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:

[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

Median is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: [tex]\frac{n+1}{2}[/tex]

[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

Mode  is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

Following are the calculation of mean, median, and modes:

Given value:

[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]

To find:

mean, median, and modes=?

Solution:

[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]

[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]

Calculating the Mean:

[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]

          [tex]=\frac{358}{46}\\\\= 7.78[/tex]

Calculating the Median:

[tex]n= \Sigma f= 46[/tex]

[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]

             [tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]

Calculating the Mode:

Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".

Learn more:

brainly.com/question/14015029

Answer:

Step-by-step explanation:

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

Answer:

7 6/18

Step-by-step explanation:

Answer:

3.71851851852

Step-by-step explanation:

Answer:

The  value is  [tex]P( H \ n \ T ) = 0.6049[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  [tex]P(H) = 0.7870[/tex]

   The probability of getting three or more heads in a row or three or more tails in a row is    [tex]P(H \ u \ T ) = 0.9791[/tex]

Generally given that it is a fair coin , then   [tex]P(H) = P(T) = 0.7870[/tex]

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        [tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]

=>   [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]

=>   [tex]P( H \ n \ T ) = 0.6049[/tex]

Answer:

Its an acute so 80 also because if you measure it it shows the same as C

Step-by-step explanation:

Sorry if its wrong tho hope that helped

Answer: and I oop skssss

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer:

Bob forgot to distribute 3 to 1.50 in the parentheses

Step-by-step explanation:

Bob made the mistake in his first step.

In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.

But, Bob only distributed it to x, which led him to get the wrong answer.

So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50

Answer:

0.43478

Step-by-step explanation:

From the information given:

[tex]The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)[/tex]

[tex]= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}[/tex]

[tex]=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})[/tex]

= 0.05434782609 + 0.1086956522  + 0.1086956522  + 0.1630434783

= 0.4347826088

≅ 0.43478

Answer:

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

you want to get x alone and so you need to do the opposite of dividing which is multiplying, so you multiply each side by 12.

6/ 8 = x / 12

* 12      *12

6*12/ 8 = x            [tex]\frac{6*12}{8}[/tex]            

72/8=x                    [tex]\frac{72}{8}[/tex]

9=x

Hope this helped!

Answer:

Step-by-step explanation:

Given

[tex]y = \frac{1}{6}x + 60[/tex]

Required

Interpret the slope and y intercept

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m=slope[/tex]

[tex]b = y\ intercept[/tex]

By comparison

[tex]m = \frac{1}{6}[/tex]

[tex]b = 60[/tex]

Interpretation:

Slope represents rate and y intercept represents the number of chirps at time 0.

So, the interpretations are:

Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute

y intercept: The initial number of chirps is 60