In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight

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Work Shown:

The scalar (2/5a+6) multiplies with the matrix on the left side to get the matrix on the right side

So this is what your steps could look like

[tex](\frac{2}{5}a+6)\begin{bmatrix}3 \\ -2 \\ 7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}(\frac{2}{5}a+6)*3 \\ (\frac{2}{5}a+6)*(-2) \\ (\frac{2}{5}a+6)*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

[tex]\begin{bmatrix}\frac{2}{5}a*3+6*3 \\ \frac{2}{5}a*(-2)+6*(-2) \\ \frac{2}{5}a*7+6*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}\frac{6}{5}a+18 \\ -\frac{4}{5}a-12 \\ \frac{14}{5}a+42\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

The last matrix equation leads to this system of equations

[tex]\begin{cases}\frac{6}{5}a+18=15 \\ -\frac{4}{5}a-12=-10 \\ \frac{14}{5}a+42=35\end{cases}\\\\\\[/tex]

If we pick any of those equations, and solve for 'a', then we'll get our answer.

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

Let's say we pick the first equation

(6/5)a+18 = 15

(6/5)a = 15-18

(6/5)a = -3

a = -3(5/6)

a = -15/6

a = -5/2

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

If we pick on the second equation, then,

(-4/5)a-12 = -10

(-4/5)a = -10+12

(-4/5)a = 2

a = 2(-5/4)

a = -10/4

a = -5/2

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

Or we could solve the third equation for 'a'

(14/5)a+42 = 35

(14/5)a = 35-42

(14/5)a = -7

a = -7*(5/14)

a = -35/14

a = -5/2

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

You only need to solve one equation to find 'a', though it's good practice to solve all three to see all three rows agreeing with one another.

The multiplication of the matrix by a constant will multiply for each term in the matrix value of the "a" given system of the matrix will be -2.5.

A matrix is a collection of numbers lined up in rows and columns to produce a rectangular array.

In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.

As per the given system of the matrix.

When we multiply anything in a matrix then it will multiply to each and every term of the matrix.

Therefore the (2/5)a + 6 will be multiplied by 3,-2, and 7 each.

So the first term of the left-hand side matrix becomes,[(2/5)a + 6]3

If we compare two matrices then each corresponding term will be the same.

Therefore, the first term of the left-hand matrix = first term of the right-hand matrix

[(2/5)a + 6]3 = 15

6a/5 + 18 = 15

6a/5 = -3

6a = -15

a = -15/6 = -2.5

Hence "The value of the "a" given system of the matrix will be -2.5".

For more about matrices,

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Answer:

-7/8

Step-by-step explanation:   If you use RISE/RUN, then you will see that they RISE is 7 and the RUN is 8 so therefroe,you would get 7/8. The graph is pointing down so, it is negative. Overall, your answer should be -7/8.      

Step-by-step explanation:

i mean I never did that in six grade

Answer:

monday

Step-by-step explanation:

Answer:

(3, 4)

Step-by-step explanation:

Answer: 34,728

Step-by-step explanation:

All your going to want to do here is add both numbers, and you will get your answer of 34,728. Hope this helps!

Answer:

750

Step-by-step explanation:

of means multiply

125% * 600

change to decimal form

1.25 * 600

750

Answer:

Step-by-step explanation:

Simplifying

3x = 5 + 2(3 + 4x)

3x = 5 + (3 * 2 + 4x * 2)

3x = 5 + (6 + 8x)

Combine like terms: 5 + 6 = 11

3x = 11 + 8x

Solving

3x = 11 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x

-5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0

-5x = 11 + 0

-5x = 11

Divide each side by '-5'.

x = -2.2

Simplifying

x = -2.2

Answer:

x = -11/5

Step-by-step explanation:

3x = 5 + 2(3 + 4x)

~Distribute left side

3x = 5 + 6 + 8x

~Combine like terms on the left side

3x = 11 + 8x

~Subtract 8x to both sides

-5x = 11

~Divide -5 to both sides

x = -11/5

Best of Luck!

Answer:

100 degrees

Step-by-step explanation:

Answer:

(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.

(b) The first and third quartiles are 61 and 71 respectively.

(c) The value of the 90th percentile is, 78.3.

Step-by-step explanation:

The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:

S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}

(a)

Compute the mean as follows:

[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]

Compute the median as follows:

For an even number of values the median is the average of the middle two values.

[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]

Compute the mode as follows:

The mode of a dataset is the term that occurs most of the time.

[tex]m=61[/tex]

Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.

(b)

The first quartile is the median of the first half of the data set.

S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}

[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]

The third quartile is the median of the second half of the data set.

S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}

[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]

Thus, the first and third quartiles are 61 and 71 respectively.

(c)

The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.

Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.

The value of the 90th percentile is, 78.3.

This value implies that 90% of the ratings are less than 78.3.

Answer:

B

Step-by-step explanation:

Next time, please show us the question! Luckily I know that the question is asking "which of these is a function" but not a lot of people can assume that. The answer is B because a function can't have repeating x values or more than 1 x value that's the same. None of the x values in B repeat so it's a function! Also, remember that y values CAN repeat, so if the y values repeat, it doesn't mean it isn't a function.

9514 1404 393

Answer:

  3.75 hours

Step-by-step explanation:

Travel time can be found using the relation ...

  time = distance/speed

  time = (2475 mi)/(660 mi/h) = 3.75 h

It will take 3 3/4 hours to travel that distance.

Answer:

2,999,999

Step-by-step explanation:

2,999,999

Step-by-step explanation:

dont need a explanation its obvious

Complete Question

A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed.

1. What is the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed.

Answer:

The  value  is [tex]P(U) = 0.5091[/tex]  

Step-by-step explanation:

From the question we are told that

    The  number of  member is  n =  11

     The  number of member who are in favor of the project  is k  =  7

     The  number of members who rejected the project is  h =  4

Generally the number of way of selecting the first three member left out of the 11 members is mathematically represented as

           [tex]F = ^n C _r[/tex]

Here r  =  3  and C stand for combination , so using a combination calculator we have

        [tex]F = ^{11} C _3 = 165[/tex]

Given that out of the first three members that left 2  of the members accepted the project  i.e  U  =  2

 The  number of way of selecting the 2 members from the total 7 members that accepted the project is  

      [tex]G = ^{7} C _2[/tex]

=>   [tex]G = 21[/tex]

Given that two members out of the first three accepted the project it means that the remaining one person rejected the project, the number of ways of selecting this one person from the 4 that rejected the project is mathematically represented as

       [tex]U = ^4 C_1[/tex]

=>    [tex]U = 4[/tex]

Generally  the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed is mathematically represented as

      [tex]P(U) = \frac{G * U}{F}[/tex]      

      [tex]P(U) = \frac{21 * 4}{165}[/tex]  

      [tex]P(U) = 0.5091[/tex]  

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

Answer:

the answer is the second option hope this helped

Step-by-step explanation:

Answer:

b :)

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

Answer:

D. y = -2x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m is slope

b is y-intercept

Step 1: Define variables

m = -2

b = -3

Step 2: Substitute

y = -2x - 3

Answer:

D

y = -2x -3

Step-by-step explanation:

Hey there!

A linear equation starts with y.

y =

The slope is X (-2)

y = -2x

The y-intercept is -3

y = -2x - 3

~I hope I helped you! :)~

The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]

We have to find length and breadth of rectangle.

Let length of the rectangle be x cm.

Given that, width is 2cm less than the length.

∴ Width = (x - 2) cm

➤ Area of rectangle :

⭆ Area of rectangle = 35

⭆ length × width = 35

⭆ x × (x - 2) = 35

⭆ x² - 2x - 35 = 0

⭆ x² - 7x + 5x - 35 = 0

⭆ x(x - 7) + 5(x - 7) = 0

⭆ x = 7 or x = -5

We know that, length can't be negative.

∴ Length of rectangle = 7cm

∴ Width of rectangle = 5cm

Answer:

80%

Step-by-step explanation:

Answer:

200 17/23

Step-by-step explanation:

Mathxway.....

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

Answer:

0.006

Step-by-step explanation:

On the first draw, there are 52 cards, 4 of which are sevens.

On the second draw, there are 51 cards, 4 of which are nines.

The probability is:

(4/52) × (4/51)

= 4/663

≈ 0.006

Answer:

Small boxes contain 60 paperclips and large boxes contain 175 paperclips.

Step-by-step explanation:

1. Set up two simultaneous equations:

Use s for small boxes and l for large boxes. (You could use any letters)

4s + 5l= 1115

3s + 2l= 530

2. Number the equations:

4s + 5l= 1115 (1)

3s + 2l= 530 (2)

3. Multiply both equations to get the same number of ls (for different questions the letters might be different):

(1) x 2:

8s + 10l= 2230 (3)

(2) x 5:

15s + 10l= 2650 (4)

4. Subtract one from the other to get rid of the ls:

(4) - (3)

  8s + 10l= 2230

- 15s + 10l= 2650

   7s        =420

5. Solve for s:

s= 420/7= 60

6. Substitute the s value into one of the original equations to find l:

4 x 60 + 5l= 1115

240 + 5l= 1115

5l= 1115 - 240

5l= 875

l= 875/5= 175

Answer:

0.7 1/3 0.8333 repeating yo no hablo espanol

Step-by-step explanation:

7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating

Answer:

The answer is 4x(exponent of 2)

Step-by-step explanation:

Answer:

Eleven

Step-by-step explanation:

~I hope I helped you! :)~

Answer:

A) Categorical

B) Nominal

Step-by-step explanation:

 As we can see from the data that the question only had two answers i-e Yes or no so therefore they were categorical rather than quantitative in which he would have asked the user for how much money they were willing to pay more.

It's nominal because he asked in terms of more or less rather than some specific number

Answer:

Lets find how much flour we need for just one serving.

2 2/3 ÷ 6

8/3 ÷ 6

8/3 * 1/6

8/18

4/9 cup of flour per serving

If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.

4/9 * 18/1

72/9

8 cups of flour for 18 servings

Best of Luck!

Step-by-step explanation:

make me as brain liest