It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

The ladder and the top of the building form a right triangle

The building is 20.8 feet tall

The given parameters are:

The height (h) of the building is calculated using the following Pythagoras theorem

L^2 = b^2 + h^2

So, we have:

39^2 = 33^2 + h^2

Evaluate the exponent

1521 = 1089 + h^2

Rewrite as:

h^2 = 1521 - 1089

h^2 = 432

Take the square root of both sides

h = 20.8

Hence, the building is 20.8 feet tall

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Answer:

each glass would contain 1/12 quart of milk

Step-by-step explanation:

1/4 divided by 3 is 1/12, so each glass would contain 1/12 quart of milk

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

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Answer:

x = 42

Step-by-step explanation:

i hope this helps :)

Answer:

I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.

Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.

For similar reasoning, angle BCE = angle ABC = 80 degrees.

Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.

(angle ACD) + (angle ACB) + (angle BCE) = 180

(50) + (angle ACB) + (80) = 180

(angle ACB) + 130 = 180

angle ACB = 180-130

angle ACB = 50 degrees

Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.

Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.

Answer

Let the first no. be 2x

second no. =x

third no. =2x/3

A/Q

2x+x+2x/3=132

11x/3=132

x=36.

Hence the second no. is 36

let the first number be x

then second number=30-x

3x-2(30-x)=60

3x-60+2x=60

x=60+60

x=120

Answer:

No ;

Step-by-step explanation:

Given ;

s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12

Hypothesis :

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

The test statistic :

Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44

The Pvalue using the Pvalue from Ftest calculator :

Numerator df = 12 - 1 = 11

Denominator df = 10 - 1 = 9

Pvalue = 0.2969

At α = 0.1

If Pvalue > α ; Fail to reject H0

0.2969 > 0.1 ; Hence, we fail to reject the Null

Hence, we cannot conclude that variation exists

Answer:

c

Step-by-step explanation:

Answer:

[tex]\frac{4}{6}[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  [tex]\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}[/tex]

Such division is carried out by first finding the quotient of the highest-degree terms:

  [tex]\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4[/tex]

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

Answer:

3/4

Step-by-step explanation:

Slope formula

Answer:

4/3

Step-by-step explanation:

Answer:pretty sure B and E

Step-by-step explanation:

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

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

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

Answer:

Answer to B - 20

480 + 96 = 600

Step-by-step explanation:

12 x 40 = 480

5 x 4 = 20

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

Answer:

19.375

Step-by-step explanation:

Hope this helps ;)

Answer: 19.375

Step-by-step explanation:

[-15(-1.5)]+[(-2.5) x 1.25]

[22.5]+[-3.125]

22.5-3.125= 19.375

Answer:

c  if i'm correct but its possible that its c

Step-by-step explanation:

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Answer:

317.55

Step-by-step explanation:

87% = 87/100 so

(87*365)/100 = 317.55

Answer:

El valor de cada cuota fija es de $500.

Step-by-step explanation:

Para encontrar el valor de cada cuota fija, puedes calcular la diferencia entre lo que Juan ha pagado y el valor que costó el plasma para saber cuál es el monto que aún debe. Después, debes dividir la cantidad que aún debe pagar entre tres que es el número de cuota pendientes para encontrar el valor de cada cuota teniendo en cuenta que son fijas:

8000-6500=1500

1500/3=500

De acuerdo a esto, la respuesta es que el valor de cada cuota fija es de $500.

Answer:

x=7 y=-10 this is ur answer

Answer:

op.........bro.................................

Sample size:5

Mean: 53

Mean Absolute Deviation (MAD): 4.4

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is  [tex]300\ ft[/tex]

In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]

Also, [tex]5280\ ft=1\ mile[/tex] or

[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]

converting [tex]300\ ft[/tex] to miles

[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]

Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]

we get [tex]n=-2[/tex]

Answer:

4/7

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

15 x 4 = 60

$60

Answer:

4 hours.

Step-by-step explanation:

We are looking for the amount of money Annie will need to earn 60.

Let the equation be 15+x=60.

The equation could be represented as 15+x=60, or 60-15=x.

The easier solution would be to subtract.

When we subtract 60-15 we get 45, therefore the value of x is 45 making the statements true.

15+45=60 and 60-15=45 as well.

We know she earns 15 an hour, so we have to see how many 15 we can add up to get to 60.

15+15+15+15=60, therefore she will need to work 4 hours.