A doctor wants to research if there is any difference in the birth weights of a mother's first child and second child. Suppose that data were collected for a random sample of 10 mothers with 2 children, where each difference is calculated by subtracting the weight of the first child from the weight of the second child. Assume that the weights are normally distributed. The doctor uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is calculated as −1.101, which has 9 degrees of freedom. If the p-value is greater than 0.10 and the significance level is α=0.10, what conclusion can be made about the birth weights of a mother's first 2 children?

Answer:

OB

-2 multiply by a -2 is a - 4 which is a numerator then

3 doesn't change cause it is a denomenator

thus your final answer is a -4/3

Answer:

I don't think you provided the whole question...

Step-by-step explanation:

Step-by-step explanation:

We are here given that a point B is between A and C . Also ,

And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,

[tex]\rm:\implies AC = AB + BC [/tex]

Substitute the respective values,

[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]

Add like terms ,

[tex]\rm:\implies 21 = 5x +1 [/tex]

Subtract 1 on both sides,

[tex]\rm:\implies 21-1 = 5x [/tex]

Simplify,

[tex]\rm:\implies 20=5x [/tex]

Divide both sides by 5,

[tex]\rm:\implies \blue{ x = 4}[/tex]

Now consider ,

[tex]\rm:\implies BC = 3x+1 [/tex]

Plug in the value of x found above ,

[tex]\rm:\implies BC= 3(4)+1[/tex]

Simplify,

[tex]\rm:\implies BC = 12+1[/tex]

Add,

[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]

And we are done !

Answer:

+ BC = AC

x + 2x+1 = 22

3x +1 = 22

3x = 21

x = 7

AB = 7

BC = 2*7+1 = 14 + 1 = 15

15 - 2

13

Complete Question

The complete question is shown on the first and  second uploaded image

Answer:

The correct option is the first and the last option

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  10

   The null hypothesis is  [tex]H_o :  \mu_d  =  0[/tex]

   The alternative hypothesis is  [tex]H_a :  \mu_d  >  0[/tex]

    The test statistics is  [tex]t \approx 6.537[/tex]

   The level of significance is  [tex]\alpha  = 0.05[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(t >  6.537 )[/tex]

From z-table  [tex]P(t >  6.537 ) = 0[/tex]

So  

   [tex]p-value  =  0[/tex]

From the value obtained we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is equal to zero

Thus we conclude that

Based on the results of the hypothesis test, there is not enough evidence at the level of significance(0.05) to suggest that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is greater than zero    

Answer:

Area of a triangle is 100 in²

Height of triangle is 10 in .

we have been asked to find the length of its base .

Formula Used to Find length of its base

☯[tex] \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: [/tex]

Put the given value we obtain

[tex] \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch[/tex]

So, the length of its base is 20 inch .

The base length of the triangle with the given values of area and length of height to the nearest inch 20in.

A triangle is a two-dimensional shape with three edges and three vertices.

The area of a triangle is expressed as;

A = (1/2) × base × height

Given the data in the question;

We substitute our given values into the expression above.

A = (1/2) × base × height

100in² = (1/2) × Base × 10in

100in² = 0.5 × 10in × Base

100in² = 5in × Base

Base = 100in² / 5in

Base = 20in

Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.

Learn more on area of traingle here: https://brainly.com/question/11952845

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Answer:

105°

Step-by-step explanation:

FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)

FEG+35°=140°

FEG=140-35

FEG= 105

Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast

Hope this helps! c:

Answer:

What is the probability and odd for 7/16​

There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.

Answer:

34%

Step-by-step explanation

34% (I believe)

Answer:

[tex]\frac{x+6}{x-1}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator

= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator

= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

she saved 37.5%

Step-by-step explanation:

96-60=36

96*x=36

divide both sides by 96

x=0.375

Answer:

(Cosx-Cos³x)/Sinx=SinxCosx

Step-by-step explanation:

sin3x−cos3x

=sinxsin2x−cosxcos2x

=sinx(1−cos2x)−cosx(1−sin2x)

=sinx−sinxcos2x−cosx+cosxsin2x

=sinx−cosx+(sinx−cosx)sinxcosx  

=(sinx−cosx)(1+sinxcosx

125 = 40 + 15w

W = number of weeks

6 weeks is 125 = 40 + 15(16) 

15(16) is 90 so 90 + 40 = 130

So the inequality would be w >= 6

To be more precise because 6 weeks is $130 and not $125, divide 85 (money still needed) by 15 to get the decimal 5.66…, so it would be w >= 5.66…

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis

Answer:

There!!

Step-by-step explanation:

mark me brainliest!!

Answer:

88 m

Step-by-step explanation:

Given,

Radius ( r ) = 14

Formula : -

Circumference of circle = 2π4

Circumference of circle

= 2 x 22 / 7 x 14

= ( 2 x 22 x 14 ) / 7

[ 14 = 2 x 7 ]

= ( 2 x 22 x 2 x 7 ] / 7

= 2 x 22 x 2

= 88 m

Note : -

The value of π = 22 / 7.

Answer:

5 21/40

Step-by-step explanation:

easy maths

EXPLANATION:

To convert degrees to radians, multiply by π / 180 °

since a full circle is 360° or 2π radians.

240°⋅π / 180° radians

Cancel the common factor of 60

4 × π / 3 radians

Combine 4 and π / 3.

4π / 3 radians

HOPE ITS HELPS !!!!!

The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]

x=rcosθ

y=rsinθ           (where r is the radius of  circle for unit circle r=1)

According to the question

we have

θ = 240 degrees and, r =1

so,  240 degrees = 240×[tex]\frac{\pi }{180}[/tex]

⇒240 degrees = [tex]\frac{4\pi }{3}[/tex]   (in radians)

Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as

[tex]x=(1)cos\frac{4\pi }{3}[/tex]                    (for unit circle r=1)

[tex]x=\frac{-1}{2}[/tex]

And,

[tex]y=(1)sin\frac{4\pi }{3}[/tex]                 (for unit circle r=1)

[tex]y=\frac{-\sqrt{3} }{2}[/tex]

Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]

Learn more about coordinates of the point on circle here:

https://brainly.in/question/48723898

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Answer:

The width of the rectangle is equal to 5 and the length is equal to 13

Step-by-step explanation:

Perimeter of rectangle = (Length + Width) ×2

Perimeter of rectangle = (13 + 5) ×2

Perimeter of rectangle = 36

The length of the rectangle is 13, which is 3 more than two times the width, if the width is 5

5 (Width) ×2 = 10

10 +3 = 13 (Length)

Answer: (3,10)??? this question isn't specific sorry

Step-by-step explanation:

Answer:

b. divide both sides by 5/7 or multiply both sides by 7/5

Answer:

f(x+2)+6 = 4^(x+2)+6

Step-by-step explanation:

(The power is to the x+2) Hope this helps!:)

Answer:

Step-by-step explanation:

principal ( p ) = $3100

Rate ( R ) = 5.5 %

Time ( T ) = 3 months

( convert months into year)

= 3/12 year

Simple Interest ( I ) = ??

By using formula ,

simple Interest ( I) = PTR / 100

=$3100 × 5.5 % × 3/12 ÷ 100

= 3100 × 5.5 × 3 ÷ 100 × 12

= 51150 ÷ 1200

= 42.625

= $ 42.625

Thank you ☺️☺️☺️

Answer:

Parallelogram means opposite sides equal and parallel to each other

So

Done!

Answer:

Step-by-step explanation:

the resistors which connected in series

equivalent resistance = R1 +R2 + R

is the relationship between the resistors connected in series.

For parallel connection

R1 = 2ohm

R2 = 3ohm

R3 = 6ohm

for equivalent resistance (Rt)

1/Rt = 1/R1 + 1/R2 + 1/R3

1/Rt = 1/2 + 1/3 + 1/6

1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1

Rt = 1 ohm

equivalent resistance = 1 ohm

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]

[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]

[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A.)

-2, -1, 0, 1, 2, 3, 4, 5, 6

Step-by-step explanation:

mark me brainliest!!

1)

I think you should start off by solving the function equal to the given growth.

[tex]f(m) = 5.98[/tex]

[tex]3(1.09) {}^{m} = 5.98[/tex]

[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]

[tex]1.09 {}^{m} = 1.9933[/tex]

[tex]m \times ln(1.09) = ln(1.9933) [/tex]

[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]

It is sufficient to plot the exponential growth over the domain m [0,8]

2)

The y-intercept in this case represents the growth achieved at the beginning when m=0.

Before the experiment started::

3)

I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,

[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]

Note that c is the average rate of change.

Find f(2) first by substituting 2 in f(m)

f(2)=3(1.09)²=3.5643

[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]

[tex]c = \frac{2.4157}{6} = 0.4026[/tex]

average growth=0.4026 cm/month

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. [tex]B = (x,y)[/tex]

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (x,y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y - 0}{x - 0}[/tex]

[tex]m = \frac{y}{x}[/tex]

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

[tex]B' = (-x,-y)[/tex]

Taking the slope of B'

The slope of B is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex] --- origin

[tex](x_2,y_2) = (-x,-y)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-y - 0}{-x - 0}[/tex]

[tex]m = \frac{-y}{-x}[/tex]

[tex]m = \frac{y}{x}[/tex]

Notice that the slope of B and B' is the same;

[tex]m = \frac{y}{x}[/tex]

Hence:

Rotation of 180° about point B  answers the question

There's no need to check for other options