Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600. If 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams

Step-by-step explanation:

RV = QV but also = PV = 26

because RVQ and RVP are both isoceles triangles.

TR = QR/2 = 24/2 = 12

because T is the middle point of RQ.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so a perpendicular line to that one will have

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1}\implies -1}}\)

so we're really looking for the equation of a line whose slope is -1 and that it passes through (3 , 2)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- 1}(x-\stackrel{x_1}{3}) \\\\\\ y-2=-x+3\implies {\LARGE \begin{array}{llll} y=-x+5 \end{array}}\)

Answer:

The second graph.

Step-by-step explanation:

When a system of linear inequalities is graphed, the solutions are shown in the area where both graphs of the linear inequalities are shaded. In this case, we need to look for the area where red and blue both are shaded in common. Since the question is asking which system includes the point (3,-2), we can look for the one that has the point (3,-2) in the commonly shaded area. In graph 1, the point is not in the area, but in graph 2, it lies in the darker shaded area, which represents the solutions of the system.

Therefore, the answer is graph 2.

Answer:

B

Step-by-step explanation:

jus took the test on edge

Answer:

x≤2

Step-by-step explanation:

Answer:

x ≤ 2

Step-by-step explanation:

well, -6 x 4 = -24

-6 x X = -6x

so far, we have -24 -6x ≤-4(x+1)

-4 x X = -4x

and -4 x 1 = -4 , so we now have -24 -6x ≤ -4x + -4

now we subtract x on one side, and to the other side as well, and you do the same for the numbers!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

Answer:

7°

Step-by-step explanation:

Since ABCD is a parallelogram, AB∥DC and AD∥BC

Now, AB∥DC and transversal BD intersects them.

∴∠ABD=∠BDC since alternate angles are equal.

⇒10x=60∘

⇒x=1060∘=6∘

And, AD∥BC and transversal BD intersects them.

∴∠DBC=∠ADB

⇒4y=28∘

⇒y=428∘=7∘

Answer:

10 units

Step-by-step explanation:

Using the distance formula

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

learn more on area here: https://brainly.com/question/9720037

#SPJ1

the dimensions of a rectangle with area 64000 m2 whose perimeter is as small as possible. (give your answers in increasing order, to the nearest meter.)Length: 200 m and Width: 320 m

The area of a rectangle is given by the formula A = lw, where l is the length and w is the width. To find the dimensions of a rectangle with an area of 64000 m2 and a perimeter that is as small as possible, we can use the formula P = 2l + 2w. We can use this to create an equation with the area and solve for l and w: 64000 = lw, and 2l + 2w = P (min). Solving for l and w, we get l = 200 m and w = 320 m. Thus, the dimensions of the rectangle with an area of 64000 m2 and a perimeter that is as small as possible are 200 m by 320 m.

Learn more about rectangle here

https://brainly.com/question/29068457

#SPJ4

Answer:

1,a. 224in

b. 240in

2,144ft

3,it is kind of hard I well try it on common if I can

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

The ant has to crawl an approximate distance of 29mm

Step-by-step explanation:

Given

\(Volume = 8792mm^3\)

\(r = 20mm\) --- radius

See attachment

Required

Distance the ant has to crawl (i.e. the slant height)

First, we calculate the height of the hill

The volume of a cone is:

\(Volume = \frac{1}{3}\pi r^2h\)

\(8792 = \frac{1}{3} * \frac{22}{7} * 20^2*h\)

\(8792 = \frac{1}{3} * \frac{22}{7} * 400*h\)

\(8792 = \frac{22* 400}{3*7} *h\)

Make h the subject

\(h = \frac{8792 * 3 * 7}{22 * 400}\)

\(h = \frac{184632}{8800}\)

\(h = 20.98mm\)

To calculate the slant height (s), we apply Pythagoras theorem

\(s^2=h^2 + r^2\)

\(s^2=20.98^2 +20^2\)

\(s^2=840.1604\)

\(s=\sqrt{840.1604\)

\(s=28.9855205232\)

\(s= 29mm\) --- approximated

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

112.5$

Step-by-step explanation:

\(80 - 60 = 20 \\(20 \div 80)100 = 25\% \\ 75\% \times 150 = 112.5 \)

Answer: Choice D)  23x^9 - 12x^4 + 19

A single variable polynomial is in standard form when the exponents are decreasing as you move from left to right. The exponents 9, 4, 0 go downhill so to speak.

The term 23x^9 is the leading term with 23 as the leading coefficient. The degree of this polynomial is 9 which is the largest exponent. This polynomial is a trinomial as there are 3 terms here.

Let missing side be x

Using basic proportionality theorem

\(\\ \sf\longmapsto \dfrac{45}{35}=\dfrac{x}{56}\)

\(\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{x}{56}\)

\(\\ \sf\longmapsto 7x=9(56)\)

\(\\ \sf\longmapsto x=\dfrac{9(56)}{7}\)

\(\\ \sf\longmapsto x=72\)

Answer:

try A if wrong try D

Step-by-step explanation:

this shold work

When a test is two-sided and one-sided: We will reject the null hypothesis at the = X 0.01 0.050. 10 significance level if the value of interest falls outside a 95% confidence interval. If the value of interest falls outside a 99% confidence interval, the null hypothesis will be rejected at the = 0.010.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used. The confidence interval is the range of values within which you expect your estimate to fall a certain percentage of the time if you repeat your experiment or re-sample the population in the same manner.

Here,

When a test is two-sided and one-sided: If the value of interest falls outside a 95% confidence interval, we will reject the null hypothesis at the = X 0.01 0.050. 10 significance level. The null hypothesis will be rejected at = 0.010 if the value of interest falls outside a 99% confidence interval.

To know more about confidence interval,

https://brainly.com/question/24131141

#SPJ4

Answer:

two sided.

.05

.01

Step-by-step explanation:

Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

-1

Step-by-step explanation:

x is up and down and y is side to side and it is on the negative side

Hope this helps!!! Mark me as brainiest!!!!

Answer:

9 is correct answer

Step-by-step explanation:

\( {x}^{2} - 6x - 27 \\ = {x}^{2} - 9x + 3x - 27 \\ = x(x - 9) + 3(x - 9) \\ = (x + 3)(x - 9)\)

x=9

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

\(-2x+6=12\\2x=-6\\x=-3\)

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

7.56

Step-by-step explanation:

Kevin should expect to pay approximately $7.56 for 18 juice boxes based on the given information.

To find out how much Kevin should expect to pay for 18 juice boxes based on the given information, we can set up a proportion using the number of juice boxes and the cost:

In general, an expression refers to a combination of symbols, numbers, variables, and operators that represent a specific computation or value. Expressions are a fundamental concept in mathematics, programming, and logic.

Let "x" be the cost of 18 juice boxes.

We have the proportion:

6 juice boxes / $2.52 = 18 juice boxes / x

To solve for "x," we can cross-multiply:

6x = 18 x $2.52

6x = $45.36

Now, divide both sides by 6 to isolate "x":

x = $45.36 / 6

x ≈ $7.56

Therefore, According to the data provided, Kevin should budget about $7.56 for 18 juice cartons.

To know more about an expression follow

https://brainly.com/question/18650549

#SPJ2