Answer:
[tex]\frac{22}{3}[/tex]
Step-by-step explanation:
x + y + y + z + z + x = 2x + 2y + 2z = 22
x + y + z = 22
22 ÷ 3 = [tex]\frac{22}{3}[/tex]
1 squared + 1= 2 sqaured - 2
2 sqaured + 2 = 3 squared - 3
3 squared + 3= 4 squared - 4
a) make a conjecture about this pattern. write your conjecture in words
b) generalise your conjecture for this pattern
c) prove that your conjecture is true
Answer:
It would be the letter B :)
1. A small bag of rice weighs 5/8 Kg. How
many of these bags are contained in a
bag which is 70Kg?
Answer:
112 bags are contained in
Step-by-step explanation:
a bag which is 70 kg
He had $70 to spend. When he arrived at the store, the cat toys were on sale for 1/3 off. What is the greatest amount of cans of cat food Fitty can purchase if he purchases another cat toy in addition to the food?
Answer:
1/3 x 70
= $ 23 / 1/3
= 70 - 23 / 1/3
= $ 46 /2/3
What is the measure of angle y in the figure?
Answer:
y = 27
Step-by-step explanation:
The sum of the two angles is a right angle, which is 90 degrees
y+63 = 90
y = 90-63
y =27
Answer:
The measures of angle y is 30 °.
Step-by-step explanation:
We know that, the sum of two side of right angle is 90 °.
60 ° + y = 90 °
subtract 60 ° from each side
y = 90 ° - 60
y = 30 °
Therefore, the measures of angle y is 30°.
Aaron has c cousins. Fiona has 5 more
cousins than Aaron has. How many
cousins does Fiona have?
A CX5
B C + 5
CC - 5
D
5
An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150
Answer: C is the correct option.
Step-by-step explanation:
Confidence interval for population mean:
[tex]\overline{x}\pm E[/tex]
, where [tex]\overline{x}[/tex] = Sample mean
E = Margin of error
Given confidence interval : 150 ± 3.29
Here , [tex]\overline{x}=150, E=3.29[/tex]
Since the sample mean is the best estimate for the population mean.
Thus, the correct notation is [tex]\overline{x}=150[/tex]
i.e. C is the correct option.
PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWER PLEASE
Answer:
[tex]a) x = k \times \frac{1}{y^2} \ , \ where \ k \ is \ a \ constant\\\\b) x = 3, \ when\ y\ =\ 10\\\\c) y = 10, \ when \ x = 3[/tex]
Step-by-step explanation:
a)
[tex]x \ \alpha \ \frac{1}{y^2}\\\\x = k \times \frac{1}{y^2}\\\\[/tex] [tex][ \ where \ k \ is \ a \ constant \ ][/tex]
Find k.
Given x = 12, y = 5,
[tex]12 = k \times \frac{1}{5^2}\\\\k = 12 \times 25 = 300[/tex]
b)
Find x.
Given y = 10
We have k = 300
[tex]x = k \times \frac{1}{y^2}\\x = 300 \times \frac{1}{10^2} \\\\x= \frac{300}{100} = 3[/tex]
c)
Find y
Given x = 3
We have k = 300
[tex]x = k \times \frac{1}{y^2}\\\\3 = 300 \times \frac{1}{y^2}\\\\\frac{1}{y^2} = \frac{3}{300}\\\\\frac{1}{y^2} = \frac{1}{100}\\\\y^2 = 100\\\\y = \sqrt{100} = 10[/tex]
If the function y=xa-31 is a linear function, what is the value of a
Answer:
Answer is A
Step-by-step explanation:
PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?
13. A dealer wants to make a profit of 30% after giving 20% discount on the marked price. What per cent above the cost price should he mark the price of the article?
need some help solving this pls
Answer:
the percent above the cost price is 10%
School is out ladies and Gentlemen hope y’all have a great summer!
Hey there!
I hope you have a great one too :)
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
Answer:
2022 students
Step-by-step explanation:
15:1
? :179
?=179×15
=2685
2685-663=2022
Answer:
2022 students
Step-by-step explanation:
15:1
?:179
?=179×15
=2685
2685-663
=2022
the total number of second-, third-, and fourth-year students are 2022 students.
I think of a number; take away 3 and then multiply by 7 to get the number 42. What was the number I started with?
What is the probability that Omar will get to drive the car after the first roll?
Answer:
1/6
Step-by-step explanation:
For Omar to drive, he has to get a six when a die is rolled ;
The probability that Omar will get to drive his car is :
Required outcome = (6) = 1
Total possible outcomes = (1,2,3,4,5,6)
P(rolling a 6) = required outcome / Total possible outcomes
P(rolling a 6) = 1/6
Probability of Omar driving his car is 1/6
Ex 1: Triangle RST is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis. Find the coordinates of the image.
Answer:
IIII..I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I..II..II.I.
Step-by-step explanation:
EAS1
Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 163 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than 0.28
Answer:
[tex]P(x > 0.28) = 1[/tex]
Step-by-step explanation:
Given
[tex]p = 33\%[/tex] --- orders from first time customer
[tex]n =163[/tex] --- samples
Required
[tex]P(x >0.28)[/tex]
First, calculate the mean
[tex]\bar x = np[/tex]
[tex]\bar x = 163 * 33\%[/tex]
[tex]\bar x = 53.79[/tex]
Next, the standard deviation
[tex]\sigma = \sqrt{\bar x * (1 - p)[/tex]
[tex]\sigma = \sqrt{53.79* (1 - 33\%)[/tex]
[tex]\sigma = \sqrt{53.79* (1 - 0.33)[/tex]
[tex]\sigma = \sqrt{53.79* 0.67[/tex]
[tex]\sigma = 6.00[/tex]
For [tex]P(x >0.28)[/tex],
The z score is:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
[tex]z = \frac{0.28 - 53.79}{6}[/tex]
[tex]z = \frac{-53.51}{6}[/tex]
[tex]z = -8.92[/tex]
So:
[tex]P(x > 0.28) = P(z > -8.92)[/tex]
From z probability:
[tex]P(z > -8.92) =1[/tex]
Hence:
[tex]P(x > 0.28) = 1[/tex]
Which expression has the greater value ?
-8+3
-8x3
Cory has received the following grades this term: 75, 87, 90, 88, 79. If he wishes to earn an 85 average, what must he score on his final test?
Answer:
A 91.
Step-by-step explanation:
[tex]\frac{75+87+90+88+79+x}{6}=85\\\\\frac{419+x}{6}=85\\\\(\frac{419+x}{6})6=85*6\\\\419 + x = 510\\\\419-419+x=510-419\\\\\boxed{x = 91}[/tex]
Which number is not in scientific notation? I need To know ASAP!!!!
Answer:
The first one.
Step-by-step explanation:
The correct scientific notation for the first option would make it a decimal (1.1), so it is not in the correct scientific notation.
A couple purchased a home and signed a mortgage contract for $900,000 to
be paid with half-yearly payments over a 25-year period. The interest rate
applicable is j2 = 5.5% p.a. applicable for the first five years, with the condition
that the interest rate will be increased by 12% every 5 years for the remaining
term of the loan.
(a) Calculate the half-yearly payment required for each five-year interval
9514 1404 393
Answer:
$33,336.83$35,176.68$36,869.23$38,266.75$39,158.08Step-by-step explanation:
The amortization formula can be used to find the payment value.
A = P(r/2)/(1 -(1 +r/2)^(2n))
where P is the principal amount at the beginning of the loan period, r is the annual interest rate, n is the number of years remaining on the loan
The value of A in this scenario is the semi-annual payment.
Initially, the interest rate is 0.055 and the number of years remaining is 25.
After the first 5-year period, the interest rate goes up by 12%, so is multiplied by a factor of 1.12 to become 6.16% per year. The same growth factor is applied to the interest rate at the beginning of each 5-year period.
Of course, the number of years remaining is decreased by 5 years at the beginning of the next 5-year period.
__
The Principal remaining at the end of each 5-year period is the starting principal for the next period. It is calculated from ...
FV = P(1 +r/2)^10 -A((1 +r/2)^10 -1)/(r/2)
Where P is the starting principal, A is the loan payment as calculated above, and r is the annual interest rate.
__
These formulas are built into spreadsheet functions, so the desired set of loan payments can be calculated easily by that technology. The result is attached. In the "# pmts" column is the value used to amortize the loan for the 5-year period. The semiannual payment is calculated as though the loan would be completely paid off in that number of payments, keeping the same interest rate for the duration. Of course, that payment series is interrupted and the loan recalculated at the beginning of the next 5 years.
The half-yearly payments for each 5-year interval are ...
$33,336.83
$35,176.68
$36,869.23
$38,266.75
$39,158.08
_____
Additional comment
The values displayed in the spreadsheet are rounded to the values shown. The values used in calculation have 14 or more significant digits. This means the numbers here may vary from those provided by a lending institution. In the real world, the principal and interest values are rounded to cents with each payment, so actual results may vary by a few cents either way.
i am a number beetween 20 and 30 who is divisible by 2 4 and 7. I am an even number as well who am I?
Answer:
28
Step-by-step explanation:
28/2=14
28/4=7
28/7=4
28 is an even number
Step-by-step explanation:
28 is the answer
28 is a number between 20 and 30
and divisible by
28/2=14
28/4=7
28/7=4
What’s the range of the function on the graph?
A circular sinkhole has a radius of 12 meters. A week later, it has a diameter of 48 meters. How much greater is the circumference of the sinkhole compared to the previous week?
Answer:
B
Step-by-step explanation:
1) initial circumference
radius * 2 * pi = 24 * pi = 75,398224
2) final circumference
diameter * pi = 48 * pi = 150,796447
150,796447 - 75,398224 = 75.36 m
What is the length of the base of a right triangle with an area of 15 square meters and a height of 3 meters? A. 5 m B. 10 m C. 30 m D. 45 m
Answer:
B.10
Step-by-step explanation:
15=1/2b(3)
30=3b
10= base
HELP PLSSS I will give first person to answer this write Brainlyest
I suck at math this is easy
Answer:
C)
Step-by-step explanation:
When you see something like 6³) 2, to get both the exponent and the multiplier together, you must multiply 3 x 2. As this problem goes, there is -7 and 5 as our exponents. If we both multiply them by 2, we will get -14 and 10. Its one of the rules in basic algebra. Check the pic I posted below.
Hope this helps!
-kiniwih426
A new car's original price is $13,999. If it's on sale for 10% off, what's the new price?
Answer:
12,599.1
Step-by-step explanation:
13,999 * 0.9 = 12,599.1
Answer:
1399.9
Step-by-step explanation:
Firstly you get your number 13'999 and divide it by ten because its ten percent of.
someone please help marking brainliest
A.)49
B.)30
C.)7
D.)28
PLEASE HELP!! SMART PEOPLE IM BEGGING! hi can you please help me, I will mark u brainliest:)
Answer:
0.02x^2=6.28
0.02x^2/0.02 = 6.28/0.02
x^2 = 314
Exact form: x = [tex]\sqrt{314}, -\sqrt{314},[/tex]
Hope this helps!
If v=-1, x=-2
and y= 3, find the value of:
3v + 2x
Answer:
-7
Step-by-step explanation:
3 v + 2 x
Where, v = -1 and x = -23 ( - 1) + 2 ( -2)
-3 - 4
-7