Answer:
Step-by-step explanation:
For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n
Answer:
Solution given:
a.
tn=12-n
1 st term =12-1=11
2nd term =12-2=10
3rd term=12-3=9
4th term=12-4=8
10th term=12-10=2
b.
tn=5-2n
1st term=5-2*1=3
2nd term=5-2*2=1
3rd term=5-2*3=-1
4th term=5-2*4=-3
10th term=5-2*10=-15
(a) Solution
T(n) = 12 - n
T(1) = 12 - 1 = 11
T(2) = 12 - 2 = 10
T(3) = 12 - 3 = 9
T(4) = 12 - 4 = 8
T(10) = 12 - 10 = 2
(b) Solution
T(n) = 5 - 2n
T(1) = 5 - 2 = 3
T(2) = 5 - 4 = 1
T(3) = 5 - 6 = -1
T(4) = 5 - 8 = -3
T(10) = 5 - 20 = -15
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])
Answer:
4.56% of the deliveries are likely to be outside the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average weight was 95.0 grams. The standard deviation was 0.25 grams.
This means that [tex]\mu = 95, \sigma = 0.25[/tex]
What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?
Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.
The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 95}{0.25}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
2*0.0228 = 0.0456
0.0456*100% = 4.56%
4.56% of the deliveries are likely to be outside the specification limits.
Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95
Answer:
450g coffee or 21.95$ coffee
Step-by-step explanation:
again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee
Easy question please help
Answer:
[tex]y = 3x - 2[/tex]
Step-by-step explanation:
Required
The equation of the above linear function
From the table, we have:
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{4 -1}{2 -1}[/tex]
[tex]m = \frac{3}{1}[/tex]
[tex]m =3[/tex]
The equation is:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - 1) + 1[/tex]
[tex]y = 3x - 3 + 1[/tex]
[tex]y = 3x - 2[/tex]
100 POINTS!!!!!!!!!!!!!!!!!
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
Hope this helped.....
Answer:
5 points huh thats mean
Step-by-step explanation:
(8,9); x+3y=2 in y=mx+b form
Answer:
use photo math. it will help
Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.
Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
If two events are complementary, then we know that: Multiple Choice the sum of their probabilities is one. the joint probability of the two events is one. their intersection has a nonzero probability. they are independent events.
Answer:
The joint probability of the two events is one.
Step-by-step explanation:
Complementary events:
If two events are complimentary, these three following things are true:
They are dependent.
The intersection of them is zero.
The joint probability of the two events is one.
The last one is the correct choice.
The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?
Answer:
cost for adults=$8.29
cost for children=$6.47
cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46
How many 1/6 cup serving of rice and in 2/3 cup of rice
Answer:
4 serving cups
Step-by-step explanation:
Given
[tex]Serving\ cup = \frac{1}{6}[/tex]
[tex]Rice\ cup = \frac{2}{3}[/tex]
Required
The number of serving cup (n)
This is calculated by dividing the rice cup by the serving cup
[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]
[tex]n = \frac{2/3}{1/6}[/tex]
Rewrite as:
[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]
Change to multiplication
[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]
[tex]n = \frac{12}{3}[/tex]
[tex]n=4[/tex]
What is the value of x?
O A. x=15
O B. x=10
O C. x=20
D. x=5
The diameter of the stem of a wheat plant is an important trait because of its relationship to breakage of the stem. An agronomist measured stem diameter in eight plants of a particular type of wheat. The mean of these data is 2.275 and the standard deviation is 0.238. Construct a 80% confidence interval for the population mean.
Answer:
7.79771≤x≤8.20229
Step-by-step explanation:
Given the following
sample size n = 8
standard deviation s = 0.238
Sample mean = 2.275
z-score at 980% = 1.282
Confidence Interval = x ± z×s/√n
Confidence Interval = 8 ± 1.282×0.238/1.5083)
Confidence Interval = 8 ± (1.282×0.15779)
Confidence Interval = 8 ±0.20229
CI = {8-0.20229, 8+0.20229}
CI = {7.79771, 8.20229}
Hence the required confidence interval is 7.79771≤x≤8.20229
What is the area of the triangle centimeters squared 23 CM 16 CM 14 CM
Answer:
Step-by-step explanation:
82
Answer:
Step-by-step explanation:
.5(half) x 14(base) x 16(height)=112cm
Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?
Answer:
this is the correct answer
42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)
Answer:
$68.97
Step-by-step explanation:
The equation you have to use is I=p(1.45)
If you have a 45% increase to 100, the original price was $68.97.
A construction crew is lengthening a road that originally measured 47 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Write an equation relating L to D. Then use this equation to find the length of the road after 31 days.
Answer:
78 miles
Step-by-step explanation:
Given that:
Original length, L = 47 miles
Additional length (miles) added per day, = 1 mile
Representing as an equation :
L(D) = original length + additional length per day * number of days
Let, D = number of days
L(D) = 47 + D
Length after 31 days :
L(31) = 47 + 31
= 78 miles
Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
х
4
Answer:
x = 2√2
Step-by-step explanation:
Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.
Now, since we see that it is also a right angled triangle, it means one angle is 90°.
Let the equal angles be a.
Thus;
a + a + 90 = 180 (since sum of angles in a triangle is 180)
2a + 90 = 180
2a = 180 - 90
2a = 90
a = 90/2
a = 45°
Now, using sine rule, we can find x. Thus;
x/sin 45 = 4/sin 90
sin 90 = 1
sin 45 = 1/√2
Thus;
x = (4 × 1/√2)/1
x = 4/√2
Let's rationalize the denominator to get;
x = (4/√2) × √2/√2
x = (4√2)/2
x = 2√2
PLEASE HELP ASAP WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Answer:
<V = 40
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
20x = 60+7x+5
Combine like terms
20x = 7x+65
Subtract 7x from each side
20x -7x = 7x+65-7x
13x = 65
Divide each side by 13
13x/13 = 65/13
x = 5
<v = 7x+5 = 7*5+5 = 35+5 = 40
answer:
it's U = 60°
V = 50°
T = 70°
A department store manager noted that the sales of furniture contributed 20% of the store's profits in the year 2015 and 29% in the year 2016.
Of the following choices, which two statements about furniture sales are true?
a.) There was a 45% increase in furniture sales.
b.) Furniture sales rose by 45 percentage points.
c.) There was a 31% increase in furniture sales.
d.) There was a 9% increase in furniture sales.
e.) Furniture sales rose by 31 percentage points.
f.) Furniture sales rose by 9 percentage points.
Answer:
There was a 45% increase in furniture sales.
Furniture sales rose by 9 percentage points.
Step-by-step explanation:
absolute difference = new - old
29-20= 9 percentage points
absolute difference / initial value = 9/20 = .45 * 100 = 45%
Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
What is percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]
We have,
Sales of furniture in [tex]2015=20\%[/tex]
Sales of furniture in [tex]2016=29\%[/tex],
So,
Change in Percentage [tex]=29-20=9\%[/tex]
i.e.
Sales rise by [tex]9\%[/tex] points,
And,
Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]
Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.
To know more about Percentage click here
https://brainly.com/question/24159063
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The sum of two numbers in 106 and the greater exceeds the lesser in 8. Find the numbers.
Step-by-step explanation:
51 and 51
maybe
hope it help ude acuerdo a la sucesion 11,18,25,32... encuentra el término que se ubica en la posición 50
Answer:
354.
Step-by-step explanation:
De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50 se debe realizar el siguiente razonamiento lógico-matemático:
32 - 25 = 7
25 - 18 = 7
18 - 11 = 7
Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:
(7 x 49) + 11 = X
343 + 11 = X
354 = X
Por lo tanto, el término que se ubica en la posición 50 es 354.
6,12,24,48 Find the 11'th term
Answer:
614
Step-by-step explanation:
This pattern is being multiplied by 2
keep multiplying by two till you get to the 11th term
6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144
6144 is the 11th term.
What is the solution to the following system of equations?
[3x-2y = 12
16x-4y = 24
O It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0).
Answer:
(0, -6)
Step-by-step explanation:
Given the following systems of linear equations;
3x - 2y = 12 ...... equation 1
16x - 4y = 24 ........ equation 2
We would solve for the solution using the elimination method;
Multiplying eqn 1 by 2, we have;
2 * (3x - 2y = 12)
6x - 4y = 24
16x - 4y = 24
Subtracting the two equations, we have;
(6x - 16x) + (-4y -[-4y]) = (24 - 24)
-10x - 0 = 0
-10x = 0
x = -0/10 = 0
Next, we would find the value of y;
3x - 2y = 12
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
y = -12/2
y = -6
Check:
3x - 2y = 12
3(0) - 2(-6) = 12
0 - (-12) = 12
12 = 12
Note: the options provided for this questions are incorrect or inappropriate.
PLEASE HELP ILL MARK BRAINLIEST
How long is 20 yards?
A. 600 in.
B. 720 in.
C. 840 in.
D. 900 in.
Answer:
B) 720 in
Step-by-step explanation:
1 yard is equal to 36 inches.
So, we just have to multiply 20 by 36:
20 × 36 = 720
20 yards is 720 inches.
The following condensed information was reported by Peabody Toys, Inc., for 2021 and 2020: ($ in thousands) 2021 2020 Income statement information Net sales $ 6,900 $ 5,900 Net income 374 158 Balance sheet information Current assets $ 970 $ 920 Property, plant, and equipment (net) 2,630 2,280 Total assets $ 3,600 $ 3,200 Current liabilities $ 1,660 $ 1,310 Long-term liabilities 920 920 Common stock 700 700 Retained earnings 320 270 Liabilities and shareholders’ equity $ 3,600 $ 3,200 Required: Determine the following ratios for 2021: (Round your percentage answers to 1 decimal place.) Determine the amount of dividends paid to shareholders during 2021. (Enter your answers in whole dollars, not in thousands. For example, $150,000 rather than 150.)
1a. Profit margin on sales 5.4 %
1b. Return on assets %
1c. Return on equity %
2. Dividends paid ?
Answer:
The answers are given below.
Step-by-step explanation:
The computation is shown below:
1.a.
Profit Margin = Net Income ÷ Sales × 100
= $374 ÷ $6,900 ×100
= 5.4%
1-b:
Average Assets = (Beginning Assets + Ending Assets) ÷ 2
= ($3,200 + $3,600) ÷ 2
= $3,400
Now
Return on Assets = Net Income ÷ Average Assets
= $374 ÷ $3,400
= 11%
1-c
Average Equity = ($700 + $700 + $320 + $270) ÷ 2
= $995
Now
Return on Equity = Net Income ÷ Average Equity *100
= $374 ÷ $995
= 37.59%
2:
Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings
= $270 + $374 - $320
= $324
the multiplicative inverse of 5 2/3
Answer:
Step-by-step explanation:
5[tex]\frac{2}{3}[/tex]
first chnge to improper or proper fraction
5*2/3
10/3
multiplicative inverse of 10/3 = 3/10
Help me please I NEED to pass this
OPTION C is the correct answer.
Hope it helps you.
