A Canadian longitudinal study1 examined whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included children and found that of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than of Canadian children receive antibiotics during the first year of life. Show all details of the hypothesis test, including hypotheses, the standardized test statistic, the -value, the generic conclusion using a significance level, and a conclusion in context.
1. Clearly state the null and alternative hypotheses.
2. Calculate the test statistic and p-value.
3. What is the conclusion?
4. Do we have evidence to conclude that more than 70% of Canadian infants receive antibiotics?
A. Yes
B. No

Answer: The second choice

Step-by-step explanation:

Absolute value is the distance a number is from 0 on the number line.  Thus, the absolute value of -8 is 8, which is greater than the absolute value of -6, or 6.

Hope it helps <3

Answer:

Step-by-step explanation:

the second option, |-6| < |-8|.

Answer:

The answer is

Step-by-step explanation:

(4k – 4) + ( –9k – 5)

Remove the bracket and simplify

That's

4k - 4 + - 9k - 5

4k - 4 - 9k - 5

Group like terms

4k - 9k - 4 - 5

We have the final answer as

- 5k - 9

Hope this helps you

We can use FOIL to solve:

(4k - 4) + (-9k - 5)

(4k * -9k) + (4k * -5) + (-4 * -9k) + (-4 * -5)

-36k - 20k + 36k + 20

-20k + 20

Best of Luck!

Answer:

120

Step-by-step explanation:

Let's say you put them on the shelf one by one, from left to right.

You can pick 1 of the 5 for the first position.

5

Now you have 4 books left. You pick one out of those 4 for the second position.

5 * 4

There are 3 choices left for the 3rd position.

5 * 4 * 3

2 left for the 4th position.

5 * 4 * 3 * 2

Finally, there is one book left for the 5th position.

5 * 4 * 3 * 2 * 1

Now we multiply:

5 * 4 * 3 * 2 * 1 = 120

Answer:

The map distance would be 2.8 cm

Step-by-step explanation:

Use the proportion given by the following relationship, where you use "x" as the unknown value in cm:

[tex]\frac{1\,\,cm}{5\,\,km} =\frac{x}{14\,\,km} \\\frac{1\,\,cm\.\,(14\,\,km)}{5\,\,km} =x\\x=2.8\,\,cm[/tex]

Answer:

No solutions

Step-by-step explanation:

3x^2=y

3(-2)^2=1

Follow P.E.M.D.A.S.

3(4)=1

12=1

Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = [tex]\left[\begin{array}{ccc}n\\X\end{array}\right][/tex].[tex]p^{x}.(1-p)^{n-x}[/tex]

P(20) = [tex]\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}[/tex]

P(20) = [tex]\frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}[/tex]

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

n . p = 53*0.3 = 15.9

n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = [tex]\sqrt{n.p.(1-p)}[/tex] = 3.34

Find the z-score:

z = [tex]\frac{x - mean}{sd}[/tex] = [tex]\frac{20-15.9}{3.34} = 1.23[/tex]

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

Answer:

its a postulate

Step-by-step explanation:

The statement represents a geometric postulate.

A postulate is one of the basic concepts of geography, and indicates an assumption that is accepted as true in the given theory.  

In this way, the main characteristic of the postulate is its general acceptance by the spectrum that studies it, that is, by the totality or vast majority of the scientists who are dedicated to its analysis.

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Answer: Required variable expression. [tex]x-13=11[/tex]

The value of x is 24.

Step-by-step explanation:

Let x be the number.

Given statement: "thirteen less than the total of a number and eleven."

Expression for "thirteen less than the total of a number" = [tex]x-13[/tex]

Now , the complete expression will be : [tex]x-13=11[/tex]

To simplify, we add 13 on both the sides , we get

[tex]x-13+13=11+13\\\\\Rightarrow\ x= 24[/tex]

Hence, the value of x is 24.

Answer:

y= 250( 1-0.21)^x

Step-by-step explanation:

This represents exponential decay

The equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)[tex].^t[/tex] The correct option is C.

The mathematical expression f(x)=[tex]e^t[/tex] denotes the exponential function. The term typically refers to the positive-valued function of a real variable, unless otherwise specified.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that a population of 250 animals is decreasing at an annual rate of 21%.

p = a x b[tex].^t[/tex]

p = a x (1+r)[tex].^t[/tex]

p = 250 x (1+(-0.21))[tex].^t[/tex]

p = 250(0.79)[tex].^t[/tex]

Note that r = -0.21 is negative to indicate we have exponential decay.

Hence, the equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)[tex].^t[/tex] The correct option is C.

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Answer:

b

Step-by-step explanation:

A, b, c, and d are all points. the line segements are: ab, bc, cd, da, and ac

Hello!

Answer:

A) Yes.

B) No.

C) Yes.

D) Yes.

Step-by-step explanation:

To find the correct solutions to this question, we can go through each choice and check for their congruency:

A) Yes. ∠8 is congruent to ∠5 because ∠5 and ∠8 are vertical angles.

B) No. ∠5 is not congruent to ∠6 because ∠5 and ∠6 are supplementary to each other.

C) Yes. ∠5 is congruent to ∠1 because corresponding angles are congruent.

D) Yes. ∠5 is congruent to ∠4 because alternate exterior angles are congruent.

A) The angle 8 should be congruent so it should be Yes.

B) The angle 6 should be congruent so it should be No.

C) The angle 1 should be congruent so it should be Yes.

D) The angle 4 should be congruent so it should be Yes.

The congruent angles are those angles in which the corresponding sides and angles should be of equal measure.

A) Yes. ∠8 is congruent to ∠5 since ∠5 and ∠8 are vertical angles.

B) No. ∠5 is not congruent to ∠6 since ∠5 and ∠6 are supplementary to each other.

C) Yes. ∠5 is congruent to ∠1 since corresponding angles are congruent.

D) Yes. ∠5 is congruent to ∠4 since alternate exterior angles are congruent.

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Answer:

x = 9

Step-by-step explanation:

Well to find x we need to use the commutative property which is the moving of numbers and variables to either side of the equation,

|2x - 19| = 4x + 1

-2x to both sides

|-19| = 2x + 1

Absolute value of -19 is 19

19 = 2x + 1

-1 to both sides

18 = 2x

Divide 2 to both sides

x = 9

Thus,

x is 9.

Hope this helps :)

The value of x is -10 when the equation is |2x-19| = 4x + 1

Two or more expressions with an Equal sign is called as Equation.

The given equation is |2x-19| = 4x + 1

Mod of two times of x minus nineteen equal to four times of x plus one.

|2x-19| = 4x + 1

2x-19=4x+1

Now add 19 on both sides

2x=4x+20

Subtract 4x on both sides

-2x=20

Divide both sides by 2

x=-10

Hence, the value of x is -10 when the equation is |2x-19| = 4x + 1

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Answer:

2+(11+y)=(2+11)+y=11+(2+y)

Answer:

Sample Response: The associative property allows you to keep the order of the terms and change the position of the parentheses. So you can rewrite the terms in the same order and then move the parentheses so that the 2 + 11 is now inside. The equivalent expression is (2 + 11) + y.

Step-by-step explanation:

E d g e n u i t y

Answer:

-∞<x<∞

Step-by-step explanation:

volume of a cube=s^3

the domain is (-∞,∞) the domain is all the real number of s

Answer:

The graph of IxI is:

y = x for values of x ≥ 0

y = -x for values of x ≤ 0

Then you will see a "V", with the arms pointing up and the vertex in the point (0, 0)

(Something like in the image, but with the arms pointing upside instead of downside)

The actual graph is:

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

Answer:

I dont give the answer right away so you read what i write and fully understand :D

Step-by-step explanation:

The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.

Answer:

46j over 17h

Step-by-step explanation:

a reciprocal fraction is formed by flipping the fraction around

for example:

2/3

reciprocal= 3/2 or 1.5

HOPE THIS HELPS!!! :)

Answer:

Right rectangular prism

Solve for height

h=4cm

l Length

9

cm

w Width

5

cm

V Volume

180

cm³

Answer:

Step-by-step explanation:

volume of rectangular prism=l×w×h

9×5×h=180

h=4 cm

where h is the  height of prism.

Answer:

1:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1:6

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

Answer:A

Step-by-step explanation:

Answer: the slope is 1.5 and the y-intercept is -2.

Step-by-step explanation:

Assuming you meant 1.5x-2 and accidentally pressed shift to turn - into _.

This equation is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Thus, the slope is 1.5 and the y-intercept is -2.

Hope it helps <3

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▹ Answer

[tex]Slope = 1.5\\\\Y-intercept = -2[/tex]

▹ Step-by-Step Explanation

(I'm assuming the underscore was meant as a minus sign)

[tex]Slope \\equation \\\\ y = mx + b\\\\[/tex]

mx represents the slope and b represents the y-intercept.

Therefore:

1.5 is the slope, and -2 is the y-intercept.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

no solution

Step-by-step explanation:

use the second equation because y is already by itself

-4 x = y + 8

y = -4x - 8

substitute:

12x + 3(-4x - 8) = 22

distribute the 3:

12x -12x - 24 = 22

0 - 24 = 22

-24 ≠ 22

Answer:

12.5

Step-by-step explanation:

(7.5+2.5)x2.5/2

Answer:

12.5 units ^2

Step-by-step explanation:

This figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) *2.5

   = 1/2 ( 10) * 2.5

   =12.5 units ^2

Answer: 0.18

Step-by-step explanation:

P(1 unit is defective)= C2  1* P^1*Q^1

C2 1= 2!/(1!*(2-1)!)=2

P=0.1 - probability that items from a production line are defective  

Q=1-0.1=0.9 - probability that items from a production line are functional.

P(1 unit is defective)= 2*0.1*0.9=0.18

Answer:

There are a total of 100 numbers!!

Step-by-step explanation:

Basically you have to do

4*5*5*1 because there are 4 even numbers 2,4,6,8 that can be in the beginning of a number, 5 even numbers 0,2,4,6,8 that can be in the middle and only 1 number at the end that will make it divisible by 5 which is zero.

Hope this helps!!!

Answer:  A) N'=(-2, 2) M'=(-1, 0)  L'=(-5, -2)

Step-by-step explanation:

N = (-2, -4)      M = (-3, -2)       L = (1, 0)

Reflection over y = -1

N' = (-2, 2)      M' = (-3, 0)       L' = (1, -2)

Reflection over x = -2

N'' = (-2, 2) M'' = (-1, 0)  L'' = (-5, -2)

Answer:

A. y ≤ 1/2x + 2

Step-by-step explanation:

Well look at the graph,

It is a solid line with it shaded down,

meaning it is y ≤,

So we can cross out B. and D.

So the y intercept is 2, we know this because the y intercept is the point on the line that touches the y axis.

now the slope can be found by seeing how far away each points are from each other,

Hence, the answer is A. y ≤ 1/2x + 2

Answer:

[tex]\tan A=\frac{10}{24}=\frac{5}{12}[/tex]

Step-by-step explanation:

The easiest way to remember sine, cosine, and tangent ratios is to use SOH-CAH-TOA as an acronym.

SOH - Sine: Opposite over hypotenuse

CAH - Cosine: Adjacent over hypotenuse

TOA - Tangent: Opposite over adjacent

Note that these are referring to the position of the sides relative to the angle you are looking at. In this case, that is angle A. Since it's tangent, we have:

[tex]\tan A=\frac{10}{24}=\frac{5}{12}[/tex]

The answer is A. Dilate circle A by a scale factor of 3

I took the test :)