Answer:
sine=opposite/hypotenuse
sine=6/10
sine=0.6
sine^-1 0.6
=36.87
A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchases 85 yogurt cups, and records whether each was a winner. After consuming all 85 cups, he is disappointed to see that only 12 (14.1%) of his yogurt cups contained coupon codes. He performs a 99% confidence interval for the proportion of yogurt cups containing coupon codes, obtaining (0.044, 0.238). What conclusion can the customer draw about the yogurt company’s claim?
Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 < [tex]\hat p[/tex] < 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% < [tex]\hat p[/tex] × 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.
Answer:
A, the company’s claim may be justified because 0.2 is in the confidence interval.
Step-by-step explanation:
A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your answer to the nearest tenth.
682.7 in^3
2143.6 in^3
85.3 in^3
267.9 in^3
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
What is volume ?The volume of an object is a measure of the amount of space occupied by that object.
Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half
The new diameter is equal to
[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]
Hence radius is equal to
[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]
The volume of the reduced globe is
[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]
[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]
[tex]$V= 267.9 \text{ in}^{3}$[/tex]
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
To learn more about volume visit : https://brainly.com/question/1972490
Answer:
267.9 in3
Step-by-step explanation:
I took the test and got it right!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
since it is Right angled isosceles triangle it's base side are equal
by using Pythagoras law
x²+x²=1²
2x²=1
x=√{1/2}or 0.707 or 0.71
write two inequalities to
compare -12 and -6
write two inequalities to compare 8 and -10
Answer:
First one: -12 < -6
-6 > -12
Second one:
-8 > -10
-10 < -8
Step-by-step explanation:
Well you just compare them with greater then or less then signs.
El resultado de la operación combinada 70-25+9-2x10÷2 corresponde a:
A) 9 B)44 C)80
Answer:
B) 44
Step-by-step explanation:
70 - 25 + 9 - 2 × 10 ÷ 2
70 - 25 + 9 - 20 ÷ 2
70 - 25 + 9 - 10
45 + 9 - 10
54 - 10
44
Solve the system of equations given by elimination:
{y = -x + 1
{y = 4x – 14
A. (-3, 2)
B. (-3,-2)
C. (3,2)
D. (3,-2)
Answer:
y= -x+1
y=4x_14
solution
-x+1=4x-14
-x-4x= -14-1
-5x= -15
-5x/-5= -15/-5
x=3
while y=4x-14
y=4(3)-14
y=12-14
y= -2
Carly used 15 centimeters of tape to wrap 3 presents. How many presents did Carly wrap if she used 45 centimeters of tape? Assume the relationship is directly proportional.
plz tell about congruent and similar triangles
Similar: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
____________________________________________________________
Congruent: SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
You place two wooden support beams under a shelf, as shown. Find the value of x
Answer:
17x
Step-by-step explanation:
so first 2x is 2 x x = 2x
then +10 =12x then 5 + x = 5x so 5x + 12x = 17x
probablity question: A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answer: 12.5%
Step-by-step explanation:
i dunno for sure so probably use someone elses answer
What is the slope of a line perpendicular to the line whose equation is
3x + 3y = 45
Answer:
3(x+y)=45
x+y=15
y=-1x +15
so
slope(m) = -1
Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. 10 B 10 0 10 А С 10 A(1, 2) A'l B(1, 3) - BC
Answer:
A'=(4,-8)
B'=(4,12)
C'=(-12, -12)
Step-by-step explanation:
Ad 3 to the location you are heading remember first is x then y so (x, y)
X is always left and right
Y is always up or down
Yasmin ordered 20 sandwiches for the STEM club's after school meeting. Some were turkey and some were ham sandwiches. Turkey sandwiches cost $5.50 and ham costs $4.50. The total bill was $97. How many turkey sandwiches were ordered?
7 TURKEY AND 13 HAM
I USED CALCULATOR BTW
A group of 12 students participated in a dance competition. Their scores are below:
Score (points)
1
2
3
4
5
Number of Students
1
2
4
3
2
Would a dot plot or a histogram best represent the data presented here? Why? (3 points)
Group of answer choices
Histogram, because a large number of scores are reported as ranges
Histogram, because a small number of scores are reported individually
Dot plot, because a large number of scores are reported as ranges
Answer:
put a picture please so i can understand better
Answer:
The answer is A
Step-by-step explanation:
i have done this and got 100 :0
Please help me with the question
90 degrees and right angle
Emily is making a flag with the dimensions shown. What is the minimum amount of material needed for the flag?
9514 1404 393
Answer:
B 80 square inches
Step-by-step explanation:
The area of a parallelogram has the same formula as the area of a rectangle:
A = bh . . . . . b is the base; h is the height
A = (10 in)(8 in)
A = 80 in²
The minimum amount of material needed is 80 square inches.
Answer:
The answer is 80
Step-by-step explanation:
Hope this helps
pls help asap
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate in standard form the equation of the line passing through the given points.
E(-2, 2), F(5, 1)
Answer:
The equation of the line that passes through the given points is ;
7y = -x + 12
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general equation form
is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us substitute the x and y coordinate values of each of the points;
for (-2,2); we have
2 = -2m + b
b = 2m + 2 •••••(i)
for F;
1 = 5m + b
b = 1-5m ••••••(ii)
Equate both b
1-5m = 2m + 2
1-2 = 2m + 5m
7m = -1
m = -1/7
Recall;
b = 2m + 2
b = 2(-1/7) + 2
b = -2/7 + 2
b = (-2 + 14)/7 = 12/7
The equation of the line is thus;
y = -1/7x + 12/7
Multiply through by 7
7y = -x + 12
HELP PLEASEEEE IT WOULD HELP ME OUT A LOT
Answer:
Step-by-step explanation:
help me please :)
thank you :P
Answer: Should be 7
Step-by-step explanation:
14/2 is 7
PLEASE HELP SOMEBODY
Answer:
24
Step-by-step explanation:
[tex]79-7=72[/tex]
[tex]\frac{72}{3} =24[/tex]
The slope of the line containing the points (6, 4) and (-5, 3) is:
1
-1
1/11
Answer:
1/11
Step-by-step explanation:
(6, 4) and (-5, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-4)/(-5-6)
m= (-1)/(-11)
m = 1/11
The theoretical probability of rolling a 6 with a single die is
Answer:
1/6
Since there are 6 faces and you're asking if 1 face is the probability, the probability is 1/6
Urgent!!!!!
12. Arrange the stages of municipal council election by writing 1-7 in the
correct place. (2 marks each)
Stages in municipal elections
Girst (1) to last (17)
People going to the polling station to
Councilors campaign for election.
The number of votes for each division
is counted.
Voters vote by secret ballot.
Candidates nominated by two main
political parties.
2) The equation y = 18x represents the relationship between 2, the number of hours biked, and
y, the distance traveled,
Which ordered pairs represent a number of hours and the corresponding
distance in the given equation? Choose ALL that apply.
(2,36)
(3,54)
(5,23)
(23,5)
(36,2)
(54,3)
Answer:(2,36)and (3,54)
Step-by-step explanation:
Answer:
(2, 36) and (3, 54)
Step-by-step explanation:
I just answer the question from iready and I got it correct.
A compact disc is designed to last an average of 4 years with a standard deviation of 0.8 years. What is the probability that a CD will last less than 3 years?
A- 1.11%, B - 10.56%, C - 86.65%, D - 100%
Answer:
the answer is B.........................
100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)
Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)
A. –4x2 – 12 + 11x4 B. 2x5 + 14 – 3x4 + 7x + 3x3
2. Use addition and subtraction to simplify the following polynomials.
A. Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)
F
O
I
L
Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)
______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
4. Use the distributive property to multiply the trinomial by the binomial.
Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)
(3x2 – 2x + 7)(x2 + 2x)
______ + _______ + _______ + _______ + ______ + _______
5. Use the vertical method to multiply two trinomials.
Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)
6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?
Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)
Height = x
Width = 12 – 2x
Length =
Part II: The formula for volume is v = l • w • h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.
HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)
v =
Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)
Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points)
Answer:
Part I: The degree of a polynomial is the greatest of the degrees of its terms.
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.
Part III: A. -4x² + 11x - 12, degree = 2,
B. 5x³ + 4x + 14, degree = 3.
Step-by-step explanation:
Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),
e: degree of is 5.
Thus, in part I, the correct option is 'greatest'
Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.
Thus, in part II the correct option is 'least'
Part III: A.
∵ -4x² has the highest power in the polynomial.
⇒ Degree = 2,
Also, in the polynomial descending order of degrees,
2 > 1 > 0
⇒ polynomial in descending order,
B.
Combining like terms,
∵ 5x³ has the highest degree,
⇒ Degree = 3,
Also, the order of the degrees in the polynomial is,
3 < 2 < 1 < 0
Thus, the polynomial in descending order,
Answer: I had trouble with this one too.
Step-by-step explanation:
calculate the power of the pump which can lift 400kg of water to be stored in a water tank at a height of 19m and 40s (take g=10/s2)
What is the lateral surface of the prism shown here
If you know the answer pls help I’ll give brainliest
Answer:
The lateral surface area of the prism shown is 1021 unit^2.
Step-by-step explanation:
2((21*9)/2) + (17*16) + (21*16) + (14*16) = 1021 unit^2
Answer: The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases
=ph where p represents the perimeter of the base and h represents the height of the prism.
Help please the question is in the photo
Which angles!!! Need answers 40% of my grade please and thank you
Answer:
alternate interior angle