Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.

Answer:

Substitute y=5x+13

[ 5x+13=x+1 ]

For y=5x+13

Substitute x=−3

y=5(−3)+13

5(−3)+13=−2

y=−2, x=−3

Step-by-step explanation:

Answer:

b = 15

Step-by-step explanation:

Assuming that the question is referring c as the hypothenuse, the Pythegorean theorem states: [tex]a^2+b^2=c^2[/tex].

Thus, [tex]b=\sqrt{c^2-a^2}=\sqrt{17^2-8^2}=15[/tex].

So b is 15.

Answer: b = 15

Step-by-step explanation:

Here, we need to know the formula for the relationship between the three sides of the right triangle: a² + b² = c².

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

Given

a = 8

c = 17

Solve

a² + b² = c²

(8)² + b² = (17)²

64 + b² = 289

b² = 225

b = √225

Hope this helps!! :)

Please let me know if you have any questions

Answer: 4950 cubic centimeters.

Step-by-step explanation:

We know that, the volume of box = Base area x height

Given: area of the base of a box  = 825 sq. centimeters

height = 6 centimeters.

Then, Volume of the box in cubic centimeters = 825 x 6

= 4950 cubic centimeters.

hence, the volume of the box in cubic centimeters = 4950 cubic centimeters.

Answer/ Step-by-step explanation:

12>6(12x+2)

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

12/6 >12x+2

Divide 12 by 6 to get 2.

2>12x+2

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

12x+2<2

Subtract 2 from both sides.

12x<2−2

Subtract 2 from 2 to get 0.

12x<0

Product of two numbers is <0 if one is >0 and the other is <0. Since 12>0, x must be <0.

x<0

Hopefully i helped =3

Answer:

10 X 10 X 10

Step-by-step explanation:

if thts what you talking aboyt

Answer:

320

Step-by-step explanation:

I attached my work, for coming questions that is the formula

10 = base length

8 = base width

12 = pyramid height

Answer:

V = 320ft³

Step-by-step explanation:

Given

L = 10 W = 8 H = 12

Solution

V = LWH/  3= 10·8·12/ 3 = 320

Therefore, the volume of the given pyramid is V = 320ft³

Answer:

1/9

Step-by-step explanation:

Probability  =  Expected outcome/Total outcome

From the given pi chart,

Total outcome = 360degrees (since the total angle in a circle is 360 degrees)

Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;

Expected outcome = 40degrees

Pr(scoring a 5) = 40/360

Pr(scoring a 5) = 1/9

Hence the probability of scoring a 5 is 1/9

Answer:

1/9

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Divide the number of events by the number of possible outcomes.

Hello!

Lets tackle each section separately!

So Robin gives the first group [tex]\frac{1}{8}[/tex] of the apples.

To find how many apples that is in standard form, we divide 40 by 8.

40 ÷ 8 = 5.

So the first group ate 5 apples.

The second group ate 4 apples.

We do not have to calculate anything since it is already in standard form.

The third group ate 20% of the apples.

To find 20% of forty we can multiply 40 by 0.20, since 0.20 is the decimal equivalent of 20%.

40 × 0.20 = 8.

The last group of children ate 8 apples.

Now we add each groups apple intake together.

5 + 4 + 8 = 17.

Finally, we subtract 17 from 40.

40 - 17 = 23.

There were 23 apples left.

waffletowne

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

.25(80)=20

Answer:

the answer is gonna be 20

Answer:

10218.75

Step-by-step explanation:

You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:

For the rectangle:

37.5*22.5 = 843.75

For the triangle:

To find the base: 75 - 37.5 = 37.5

To find the height, use pythagoream theorem.

62.5² = 37.5² + b²

3906.25 = 1406.25 + b²

3906.25 - 1406.25 = 2500

√2500 = 50.

The height is 50, so 50*37.5(1/2)

= 937.5

Now add them together

937.5 + 843.75

Answer:      x=-5

Step-by-step explanation:

Distribute

6(x+3)-1(x+4)=-11

6x+ 18-1(x+4)=-11

6x +18-x-4=-11

Subtract the numbers

6x +18-x-4=-11

6x +14-x=-11

Combine like terms

6x +14-x=-11

5x +14=-11

subtract 14 from both sides of the equation

5x +14=-11

5x +=14-14 = -11 -14

simplify

5x=-25

divide both sides

x=-5

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer:

80+2x=180°{co-interior angle}

2x=180-80

2x=100

x=50°

hope it helps.

Answer:

1/3*1/6 is ur answer.

1/18

Answer:

The answer would be 7mph.

Step-by-step explanation:

The rate of change is just miles per hour.

Answer:

12.57 in^3

Step-by-step explanation:

The easiest way to do this is to find the area of the circle surface and multiply it by the height

to find area the formula is pi r^2 and we are given the radius

so we plug in pi(2^2)=pi(4)= roughly 12.57

then we multiply the area by the height which is 1 so it would be the same

12.57(1)=12.57

Answer:

135

Step-by-step explanation:

that line equals 180 degrees so just subtract 45 to get the value of x

Answer:

a. Minimum: 2

b. Q1: 9/2 = 2 1/2

c. Median: 10

d. Q3: 27/2 = 13 1/2

e. Maximum: 20

Answer:

2x + 10

Step-by-step explanation:                                                                                      2 * (x + 5)                                                                                                                   = 2x + 10

Answer:

-8 x -3 = 24.

Step-by-step explanation:

When to negatives are multiplied, they automatically become positive.  Therefore, 8 x 3 = 24.

Answer:

(8x7)\2 + x =5

Step-by-step explanation:

8x7= 56 \2 28+x= 33

Answer:

=5x⁴+3x

=-2x+4

=8x+4

=-2x-4

Step-by-step explanation:

hope it's help

Answer:

-18 C°

Step-by-step explanation:

Warmed means add cooled means subtract

starting at -23 it warmed by 8 add 8

-15

it warmed by 3 more add 3

-12

then it cooled by 6 subtract 6

-18

Answer:

11.04

Step-by-step explanation:

Given the data:

29, 15, 22, 52, 38

The mean absolute deviation :

Mean, m = Σx / n

n = sample size = 5

29 + 15 + 22 + 52 + 38 = 156

Mean = 156 / 5 = 31.2

Mean absolute deviation (MAD):

Σ|x - m| / n

(|29 - 31.2| + |15 - 31.2| + |22 - 31.2| + |52 - 31.2| + |38 - 31.2|) / 5

(2.2 + 16.2 + 9.2 + 20.8 + 6.8) / 5

55.2 / 5

= 11.04