To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see if the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What is a Type I error and its consequence in this context

Answer:

61.5

Step-by-step explanation:

6.755-3311=3444

3444 divded by 56=61.5

Answer:

Step-by-step explanation:

So far this semester, What was the average of his scores last semester?

Let us represent last semester average score as x

We are told that:

Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.

This is expressed Mathematically as:

63 = x - 10%

63 = x - 0.1

Collect like termd

x = 63 + 0.1

x = 63.1

Answer:

the answer is 9.5

Step-by-step explanation:

Answer:

m∠BFE  = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE  = 180 - 9

m∠BFE  = 171º

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

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

Answer:

#2 64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92

Step-by-step explanation:

A stem-and-leaf plot is a detailed graphical presentation of quantitative data on special kind of table that promotes visualizing the individual numbers in the data with the number at the stem being the first digits of the numbers in the data set while the leaf represent the last digit of each number in the data set

Following the above rule, the data in the given stem-and-leaf plot are;

64, 67, 69, 79, 81, 81, 83, 83, 84, 86, 90, 91, 92, 95

Therefore, the set of data that could have been used to create the stem-and-leaf plot is the data set that has all the numbers in the given stem-and-leaf plot which is the data set;

64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92.

Answer:

an equilateral triangle

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.

Answer:

For the First

a. True

b. false

c. True

d.false

Second

a. d and h or a and e

b. d and g or c and e

c.d and f or c and h

d. a anf d or g and f

Answer:

20.25 ounces

Step-by-step explanation:

We are given 2.25 ounces of cranberry poured into the container per second. We need to find is how much that is after 9 seconds. (Note: This is different from the 15.75 ounces of orange.) There are many ways to solve this question (e.g If 2.25 is 1, then multiply 2.25 and 9 = 20.25) Now to solve this let's set up fractions; let "x" be the variable;

[tex]\frac{1}{2.25}=\frac{9}{x}[/tex]

Apply fraction: if [tex]\frac{a}{b}=\frac{c}{d}\mathrm[/tex]  then [tex]a\cdot \:d=b\cdot \:c[/tex] (meaning cross multiply)

[tex]1\cdot \:x=2.25\cdot \:9[/tex]

Simplify

[tex]1 x = 2 . 2 5 \cdot 9 \\\\ x = 2 . 2 5 \cdot 9[/tex]

[tex]x = 2 . 2 5 \cdot 9\\\\x=20.25[/tex]

Therefore, there are 20.25 ounces of fruit pouch in the container after 9 seconds.

Answer:

36 oz

i dont know how to explain i just know

Answer:

20

Step-by-step explanation:

Answer:

We know the  angle given refers to the length of the opposite side.

Given angle = 82 and the opposite side = 34 so part of the  relationship is

sin 82 / 34 = sin (  ) / ( )

We are also given one side = 27 and that side is opposite angle at C

so that part of the relationship is   sin C / 27

sin 82 / 34 = sin C / 27

A true relationship based on the Law of Sines was found in the given triangle.

In the given triangle

∠A=82°

Length of side in front of ∠A = 34

Length of side in front of ∠C = 27

According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]

According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.

So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]

Hence, a true relationship based on the Law of Sines was found in the given triangle.

To get more about sine law visit:

https://brainly.com/question/24175301

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{4}{DE}[/tex] ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = [tex]\frac{4}{cos55}[/tex] ≈ 6.97 ( to the nearest hundredth )

Answer:

sociable I think........

Answer:

4 1/2 inches

Step-by-step explanation:

if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches

Answer:

4.5

Step-by-step explanation:

12x=54 x=4.5

4.5×12=54

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

2+(4)(32)−7+1

=2+128−7+1

=130−7+1

=123+1

=124

Answer:

Mean: 22

Median: 25.2

Step-by-step explanation:

The mean is the sum of all the numbers in a set divided by the number of terms in a set.

The median is the middle value of the numbers when the numbers in a set are arranged from least to greatest. If there is two middle numbers, the median is the average of the two numbers.

I hope this helps!

Answer:

[tex]V=0.09375\ mm^3[/tex]

Step-by-step explanation:

Given that,

The length of the rectangular prism = (1/2) mm

Width = (1/4) mm

Height = (3/4) mm

We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :

V = lbh

Put all the values,

[tex]V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3[/tex]

So, the volume of the prism is equal to [tex]0.09375\ mm^3[/tex].

Answer:

C

Step-by-step explanation:

I hope it helps !!! :)

Answer:

i believe its b but i may be wrong i don know. hope this helped

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

Answer:

x=53

Step-by-step explanation:

A quadrilateral has four sides, four vertices and its  interior angles that add to 360 degrees:.

360 -120-103-84-= x

360-307 = x

53 = x

Explanation:

This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.

Answer:

9996

Step-by-step explanation:

Answer:

C.2:4

Step-by-step explanation:

1*2=2

3*2=6

2:6=2:4

    |

    |

    |

not true so it is C.

Answer:

B = -.5

Step-by-step explanation:

If B is negative is cancels out the prexisting negative making it positive.

Answer:

Below

Step-by-step explanation:

First, find the difference. You would do

-19 - (-9) = -10

-9 - 1 = -10 and so on...

The difference is -10

Now you need to find what number will make 11 when added to -10.

11 - (-10) = 21

The equation:

y = -10x + 21

Answer:

The exam was out of 75.

Step-by-step explanation:

You know that he earned 65% so more than half his answers were correct.

Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.

Answer:

x = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

- 9x + 3 = 3x + 9 ( subtract 3x from both sides )

- 12x + 3 = 9 ( subtract 3 from both sides )

- 12x = 6 ( divide both sides by - 12 )

x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]