The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test

Answer:

d = -280 m

Step-by-step explanation:

Given that,

Velocity of Andre, v = -8 m/s

Time taken, t = 35 seconds

We need to find his finishing position. Let the finishing position be x.

We know that,

Velocity = distance/time

So,

[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]

so, he was at a distance of 280 m in west.

Answer:

the answer you are looking for is B

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)

Step-by-step explanation:

The given data are;

Bakery A

[tex]\overline x_1[/tex] = 1,880 cal

s₁ = 148 cal

n₁ = 10

Bakery B

[tex]\overline x_2[/tex] = 1,711 cal

s₂ = 192 cal

n₂ = 10

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]

df = n₁ + n₂ - 2

∴ df = 10 + 18 - 2 = 26

From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]

[tex]\hat \sigma[/tex] ≈ 178

Therefore, we get;

[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]

Which gives;

[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]

Therefore, by rounding to the nearest integer, we have;

The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289

Answer:

47

Hope it helps

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Thank you

Answer:

can I get how you solved it

Answer: Los dos números son 8 y 5

Explanation:

Considere los dos números como

x

and

y

A partir de los datos dados, escribimos:

x

−

y

=

3

x

+

y

=

13

A partir de la primera ecuación, determinamos un valor para

x

.

x

−

y

=

3

agregar

y

a ambos lados.

x

=

y

+

3

En la segunda ecuación, sustituya

x

with

(

y

+

3

)

.

x

+

y

=

13

(

y

+

3

)

+

y

=

13

Abra los corchetes y simplifique.

y

+

3

+

y

=

13

2

y

+

3

=

13

Sustraer

3

de cada lado.

2

y

=

10

Divide ambos lados por

2

.

y

=

5

En la primera ecuación, sustituya

y

con

5

.

x

−

y

=

3

x

−

5

=

3

Agregar

5

a cada lado.

x

=

8

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer: $5

Step-by-step explanation:

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

Answer:

42.5

Step-by-step explanation:

To find how many square inches of wrapping paper he will need you need to find the area of each face of the box and add them all together.

Top and bottom face:

First, 2.5 times 2.5 equals 6.25. Multiply 6.25 times 2 since there is one for the top and bottom to get 12.5

Left, Right, front, and back face:

Multiply 2.5 by 3 to get 7.5, and multiply 7.5 by 4 to get 30 since there are four faces with the same area.

Final Step:

Now, just add all the areas of the faces calculated to recieve the answer of 42.5

30 + 12.5 = 42.5

Step-by-step explanation:

area of figure = 5x² + 3

plz mark my answer as brainlist plzzzz.hope this will be helpful to you if you find it useful ☺️

Answer:

The measure of the angle subtended by each arc intercepted by the sides of the reh13-gon is approximately 27.69°

Step-by-step explanation:

The number of of equal sides in a regular 13-gon = 13 sides

The measure of the angle, 'θ', subtended by each arc intercepted by the sides of the 13-gon is given as follows;

θ = 360°/13 = [tex]27\dfrac{9}{13} ^{\circ}[/tex]  

By rounding rounding the answer to the nearest 10th, we have that the measure of the angle subtended by each arc intercepted by the sides of the 13-gon, θ = [tex]27\dfrac{9}{13} ^{\circ}[/tex] ≈ 27.69°

Answer:

besti you didnt put the statement

Replace x any with the given values:

x/y = 9/3 = 3

The answer is 3

Answer:

24

Step-by-step explanation:

13+11=24

Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

Answer:

its c

Step-by-step explanation:

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.

Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

Answer:

x=60 y=50

Step-by-step explanation:

60+y=110

y=50

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

Answer:

f^−1(x)=2^x/4

Step-by-step explanation:

The inverse of the function will be;

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

A relation between a set of inputs having one output each is called a function.

Given that;

The function is,

⇒ y = log₂ (4x)

Now,

Since, The function is,

⇒ y = log₂ (4x)

Find the inverse of the function as;

⇒ y = log₂ (4x)

⇒ [tex]2^{y} = 4x[/tex]

⇒ [tex]\frac{2^{y}}{4} = x[/tex]

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Thus, The inverse of the function y = log₂ (4x) is,

⇒ [tex]f ^{-1} (x) = \frac{2^{x}}{4}[/tex]

Learn more about the function visit:

https://brainly.com/question/28361556

#SPJ2

Answer:

96 combinations

Step-by-step explanation:

when you get a question like this you multiply all the numbers and you get total number of combinations possible

Answer:

36 outcomes

As this a sandwich shop it uses bread for all meats.

3 x 4 x 3 = 36

Because 3 x 4 = 12

As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this  

Step-by-step explanation:

B1  M1    <  B1 M2 <  B1 M3  < B1 M4  < B1 M1 T1  < B1 M1 T2 < B1 M1 T3  to B1 M1 T8 etc = 12 combinations step 1

B2   M1  repeat above with B2 to replace B1 above  = 12

B3   M1  repeat above with B3 to replace B1 above = 12

As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96

Bread x middle value then outcome x toppings = 36 outcomes