Answer:
y=4x+9
Step-by-step explanation:
this what I did and I showed you my steps
You spin a spinner that is equally divided into 5 parts, and then you spin it again. 1 part is pink, 2 parts are blue, and 2 parts are black. What is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin?
Answer:
There is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.
Step-by-step explanation:
Given that I spin a spinner that is equally divided into 5 parts, and then I spin it again, knowing that 1 part is pink, 2 parts are blue, and 2 parts are black, to determine what is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin the following calculation must be performed:
Blue parts: 2
Total Parts: 5
2/5 = 0.4 = 40%
0.40 x 0.40 = 0.16
Thus, there is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
Required:
a. Construct and interpret a 95% (two sided) confidence interval for the population standard deviation of the life of a biomedical device.
b. Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
Answer:
Part a [5522.3511 ; 5727.8488]
Part b. The p-value is 0.050115.
The H0 is rejected and concluded that the true mean life of a biomedical device is greater than 5500.
Step-by-step explanation:
The 95 % confidence interval for the mean of the population is given by
∝= 1- 0.95= 0.05
υ= n-1= 15-1= 14
x`± t ∝() s / √n
5625.1 ± { t (0.05) (14)} 226.1 / √15
5625.1 ± 1.76 * 226.1/3.8729
5625.1 ± 102.7488
[5522.3511 ; 5727.8488]
Part b
State the null and the alternate hypothesis
H0: u= 5500 against the claim Ha: u > 5500
the test statistic
t= x`- u/ s/ √n
t= 5625.1-5500/226.1 / √15
t=2.143
The p-value is 0.050115.
The result is not significant at p < 0.05.
The H0 is rejected and concluded that the true mean life of a biomedical device is greater than 5500.
An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of mineral ash. each sack of soybeans costs $21 and contains 70 lb of protein, 9 lb of fat, and 7 lb of mineral ash. each sack of oats cost $7 and contains 21 lb of protein, 7lb of fat, and 1 lb of mineral ash. how many sacks of each should be used to satisfy the minimum requirements at minimum cos
Answer:
The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
[tex]Cost = 51.275[/tex]
Step-by-step explanation:
The given parameters can be summarized as:
[tex]\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}[/tex]
Where: x = Soybeans and y = Oats.
So, the system of equations are:
[tex]70x + 21y = 168[/tex]
[tex]9x +7y = 27[/tex]
[tex]7x + y = 14[/tex]
[tex]Cost = 21x + 7y[/tex]
The best way to solve this, is using graph
Plot the following equations on a graph, and get the points of intersection:
[tex]70x + 21y = 168[/tex]
[tex]9x +7y = 27[/tex]
[tex]7x + y = 14[/tex]
From the attached graph, we have:
[tex](x_1,y_1) = (1.636,2.545)[/tex]
[tex](x_2,y_2) = (1.775,1.575)[/tex]
[tex](x_3,y_3) = (2.023,1.256)[/tex]
Substitute each of the values of x's and y's in the cost function to get the minimum cost:
[tex]Cost = 21x + 7y[/tex]
[tex](x_1,y_1) = (1.636,2.545)[/tex]
[tex]Cost = 21 * 1.636 + 7 * 2.545[/tex]
[tex]Cost = 52.171[/tex]
[tex](x_2,y_2) = (1.775,1.575)[/tex]
[tex]Cost = 21 * 1.775 + 7 * 1.575[/tex]
[tex]Cost = 48.3[/tex]
[tex](x_3,y_3) = (2.023,1.256)[/tex]
[tex]Cost = 21 * 2.023 + 7 * 1.256[/tex]
[tex]Cost = 51.275[/tex]
The values of x and y that gives the minimum cost is:
[tex](x_2,y_2) = (1.775,1.575)[/tex]
and the minimum cost is:
[tex]Cost = 48.3[/tex]
Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats
Convert the following repeating decimal to a fraction in simplest form.
.43
what is the area of the figure?
10 POINTS FOR CORRECT ANSWER PLEASE HELP
Answer:
[tex]\sqrt{149}[/tex]
Step-by-step explanation:
a circle has its center at (-2, -3) and a radius of 3 units. Find the question of the circle using the Pythagorean Theorem
Answer:
a^2 plus b^2 = c^2
Step-by-step explanation:
That's the Pythagorean theorem apply.
Please help me ASAP Please
Answer:
31x=217 x=7
Step-by-step explanation:
begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day
Write 4.5 as a mixed number.
Answer:
9/2
Step-by-step explanation:
4.5 = 4 1/2 = 9/2
Kendall worked 25.5 hours one week.
If he earns $12.50 per hour, how
much did he earn that week? How did
you know where to put the decimal
point?
Can someone please help me out?
Answer:
x | f(x)0 | 02 | 25 | 39 | 110 | 0Step-by-step explanation:
On the left side of the chart, is the x values. The x values are listed on the x axis which is the horizontal line.
The right side of the chart are the y values. The y values are listed on the y axis which is the vertical line.
Knowing this, we can start
First, for all the answer that we know the x value, we need to find the number that matches on the x axis. Once we find that number, we go up or down on the y axis until we find the line.
If we know the y value, we need to find the number that matches on the y axis. Then we will go right until we find the line.
Remember - There CAN NOT be two y values for the same x value but THERE CAN BE two x values for the same y value
Please answer this thanks
[tex]1) \longrightarrow\boxed{ \bf \: Vertical \: angles} \: ( \sf \: they \: share \: the \: same \: vertex) \\ 2) \longrightarrow\boxed{\bf \: Adjacent \: angles} \: ( \sf \: they \: are \: located \: next \: to \: each \: other)[/tex]
Coin Calculation plz help
Answer:
You didnt add a question, file or possible answer choices
A store owner has 12 pounds of pasta worth 70¢ a pound. She wants to mix it with
pasta worth 45¢ a pound so that the total mixture can be sold for 55¢ a pound
(without any gain or loss). How much of the 45¢ pasta must she use?
Answer:
The store owner must use 18 pounds of the 45 ¢ pasta.
Step-by-step explanation:
Given that a store owner has 12 pounds of pasta worth 70 ¢ a pound, and she wants to mix it with pasta worth 45 ¢ a pound so that the total mixture can be sold for 55 ¢ a pound, to determine how much of the 45 ¢ pasta must she use, the following calculation must be performed:
100 x 0.7 + 0 x 0.45 = 70
90 x 0.7 + 10 x 0.45 = 67.5
50 x 0.7 + 50 x 0.45 = 57.5
40 x 0.7 + 60 x 0.45 = 55
40 = 12
60 = X
60 x 12/40 = X
720/40 = X
18 = X
Thus, the store owner must use 18 pounds of the 45 ¢ pasta.
A woman bought some large frames for $13 each and some small frames for $6 each at a closeout sale. If she bought 18 frames for $136, find how many of each type
she bought
She bought large frames
vie
Answer:
she bought 4 large frames and 14 small frames!
Step-by-step explanation:
This is a system of equation problem!
let's say that x= large frames and y=small frames.
since there's 18 total, we already have our first equation set.
x+y=18
(number of large frames) + (number of small frames)= 18
13x would represent the large frames because each one is 13 dollars.
6y would represent the small frames because each one is 6 dollars.
Since she paid 136 dollars total, we can already tell that
13x+6y=136
(price of large frames*number of large frames) + (price of small frames*number of small frames)=136.
Now, time for the math!
Attached below is how you would work it out using substitution.
Hope this helps!
x=4 and y=14
Meaning that she bought 4 large frames and 14 small frames!
Find the slope of the
(4,5), (6,2)
Answer:
Answer and steps are in picture.
The triangle shown below has an area of 16 units^2
Answer:
8
Step-by-step explanation:
base x height / 2 = the area
4 x h / 2 = 16
h = 8
so x is 8
Answer:
8
Step-by-step explanation:
i just took the quiz
g(x) = -4x+4
h(x)= x³+4x²
find g(x)•h(x)
Answer:
4x^4-12x^3+16x^2
Step-by-step explanation:
(-4x+4)(x^3+4x^2)
a b c d
using foil method multiply
term a by term c and d
-4x * x^3= -4x^4
-4x * 4x^2= -16x^3
*dont forget to add the exponents, when x is by itself you it always has an imaginary 1
then multiply term b by term c and d
4 * x^3= 4x^3
4 * 4x^2= 16x^2
line up all of your answers from biggest exponent to smallest
-4x^4-16x^3+4x^3+16x^2
we can combine like terms with -16x^3 and 4x^3 becaus ethey have the same exponent value
4x^4-12x^3+16x^2
15. Find the area of the circle. Use 3.14 as pie. Round to the nearest tenth. Include units. The radius is 4 inches.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 50.24
Explanation:
3.14(4)^2 = 50.24
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: A=50.2
Step-by-step explanation:
using 3.14 as pie...
A=3.14[tex]r^{2}[/tex]
A=3.14x[tex]4^{2}[/tex]
A=3.14x16
A=50.24
rounding to nearest tenth..
A=50.2
Esther estimates that she will need about $8,600 for the first year of tuition at college. Her grandparents contribution will cover 65% of the tuition expenses, and Esther will need to save to pay for the rest. If Esther has 2 years to save, what is the minimum amount that she should save each month?
Answer:
$125.42
Step-by-step explanation:
Her grandparents will cover 65% of $8600, which is 8600 * 0.65 = $5590. Therefore, she needs to pay for the part they're not covering, which is $8600 - $5590 = $3010.
2 years = 24 months, so assuming she wants to save the same amount each month, we need to divide $3010 by 24 to get the amount per month. This gets us $125.42
The minimum amount that she should save each month for two years is $125.42.
What is the minimum amount she would have to save each month?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
Amount given by her grandparents = 65% x 8600= $5590
Amount she would have to save each month for two years = (8600 - $5590) / 24 = $125.42
To learn more about percentages, please check: https://brainly.com/question/25764815
A bag contains 7 blue, 4 yellow, 4 green, and 5 red marbles. Find the probability of choosing a green marble without looking. Mark only one oval. Dood
Answer:
1/4
Step-by-step explanation:
total balls=7+4+4+5=20
probability of green marble=?
green marbles are 5 so,
Probability=number of favourable outcomes / number of all possible outcomes
total outcomes=20
green ball chances=5
=5/20
=1/4
Seventy-five college students are taking part in a study initiated by a large computer manufacturer. The company is designing a new type of laptop computer and has created prototypes of it with two different keyboard designs. They are also including the current design of the laptop in the experiment. Each of the students was randomly assigned to one of the three types of computers. The students are asked to spend 15 minutes on one of the computers performing several tasks (typing words, numbers, making corrections, etc.). The ease of use of the keyboard was then rated on a five-point scale by having the students fill out a short questionnaire. Which of the following was not used in this experiment?
a. control
b. replication
c. blocking
d. randomization
Answer:
c
Step-by-step explanation:
blocking is not used in this experiment
What is the answer? Please tell me soon.
Answer:
61
Step-by-step explanation:
it's only 1 number difference
what is the present perfect of everybody
Answer:
Present Perfect Tense Examples
Has lived: She has lived here all her life.
Have written: They have written three letters already.
Have worked: I have worked here since I graduated school.
Has done: He has finished his homework.
Have been: We have been to Canada.
Has forgotten: She has forgotten her folder.
Step-by-step explanation:
Which box plot matches the date set 34,36,41,45,49,50,51,52,56,59
Answer:
D
Step-by-step explanation:
The box has to go from the first to the third quartile and that one does and c isn't correct because the line isn't at the median.
name types of angles in geometric figures
Answer:
obtuse angle,acute angle,right angle,straight angle hope it helps
The opposite sides of a parallelogram have measures (2x+10) cin and (x+15)
cm. What is the measure of the sides?
Answer:
The measure of the sides is 20 cm.
Step-by-step explanation:
Opposite side of a parallelogram:
Opposite sides of a parallelogram are congruent, that is, they have the same measure.
Measures (2x+10) cm and (x+15) cm:
This means that:
[tex]2x + 10 = x + 15[/tex]
[tex]2x - x = 15 - 10[/tex]
[tex]x = 5[/tex]
2x + 10 = 2*5 + 10 = 10 + 10 = 20
The measure of the sides is 20 cm.
Find the value of x
Answer:
v=53
Step-by-step explanation:
90-37=53
Katya went to a craft store to buy beads. The table shows her choices.
Bead Packages
Number per Package
Cost
25
$1.25
70
$2.50
100
$2.95
180
$3.60
Which should Katya choose if she wants to buy the package of beads with the lowest unit cost?
O A. 25 beads for $1.25
B. 70 beads for $2.50
O C. 100 beads for $2.95
D. 180 beads for $3.60
Answer:
100 beads for $2.95
Step-by-step explanation:
This is because the unit cost per item if you buy 100 beads for $2.95 would be $0.03
A college student has two different jobs. Her combined work schedules consist of no more
than 48 hours in one week.
Which graph best represents the solution set for all possible combinations of x, the number of
hours she worked at her first job, and y, the number of hours she worked at her second job,
in one week?
Work Schedule
Work Schedule
54
42
36
30
с
Number of Hours Worked
54
48
842
36
30
24
18
12
6
24
18
12
6
0
6 12 18 24 30 36 42 48 54
Number of Hours Worked
at First Job
6 12 18 24 30 36 42 48 5x
Number of Hours Worked
at First Job
Work Schedule
Work Schedule
В
B
Number of Houn worked
48
42
36
30
24
18
12
6
D
Number of Hours Worked
Second Job
54
48
42
36
30
$24
18
12
6
0
6 12 18 24 30 36 42 48 54
Number of Hours Worked
at First Job
6 12 18 24 30 36 42 48 54
Number of Hours Worked
at First Job
Answer:
A
Step-by-step explanation:
I just did it and it was the correct answer !