Answer:
8x + y = 45
Step-by-step explanation:
Ax + By = C
8(5) + (5) = C
40 + 5 = C
45 = C
8x + y = 45
13 inches = _/ _ ft (in fraction)
Answer:
1 1/12 ft
Step-by-step explanation:
12 inch per foot
13in - 12in = 1 in
1 in left over
1 1/12
Answer:
1ft. 1in.
6/1 is the answer
5. Which of the following options is a better purchase for a microwave?
A. $20 down with equal payments of $10 for 12 weeks
B. $5 down with equal payments of $10 for 15 weeks
C. $10 down with equal payments of $5 for 24 weeks
D. $0 down with equal payments of $15 for 9 weeks
a sum of money is divided in the ratio 5 : 7 . If the larger sum is Rs 196, find the smaller sum
Answer:
169
Step-by-step explanation:
Larger Number = 196
Smaller Number = 169
Step-by-step explanation:
larger sum = 196/
smaller sum = 169/
hope it helps. :)
please help me with the i-ready
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Answer: Graph 3
Explanation: Only one that satisfies both patterns
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
i will award brainliest HELPP
Answer:
D
Step-by-step explanation:
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
What is the area of the triangle?
6 x 9 < 3 × ___ pls help me i really need help
Answer:
x = 2
Step-by-step explanation:
1. Add 9 to both sides.
6x=3+9
2. Simplify 3+9 to 12.
6x=12
3. Divide both sides by 6.
x=12/6
4.
Simplify 12/6 to 2
x = 2
Estimate the area of the circle. Use 7/22 for π
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Answer:
29.71
Step-by-step explanation:
Continuous Compounding Formula = P x e^(r x t)
= 181.25 x e^(0.29710000000000003 x 7) = 1450.37
tour busload of 45 people attended two Florida theme parks on successive days. On Day 1 the entrance fee was $15 per adult, $8 per child, $12 per senior citizen and the total charge was $558. On Day 2 the entrance fee was $20 per adult, $12 per child, $17 per senior citizen and the total charge was $771. How many adults, children, and senior citizens were on this tour bus
Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.
Step-by-step explanation:
Let adult = x
children = y
senior citizen = z
Given : Total busload (x+ y + z) = 45
Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]
Total charge on day 2 = 771 $ = [tex]20\times x+12\times y+17\times z[/tex]
Now we have 3 equations : x+ y+z =45
[tex]15\times x+8\times y+12\times z=558[/tex]
[tex]20\times x+12\times y+17\times z=771[/tex]
Solving for them we get: x= 22 , y = 12 and z= 11
Thus there are 22 adults , 12 children and 11 senior citizens.
help please! need asap
Answer:
2
Step-by-step explanation:
6×3÷4=2
Hope this helps you
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
225w
Step-by-step explanation:
volume formula: w*r²*9
w*5²*9
25*9w
225w
Answer: V=707
Step-by-step explanation:
Can someone help me pls
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}b^{2} - 6[/tex]
[tex]\frac{1}{2}(4)^{2} - 6[/tex]
[tex]\frac{1}{2} * 16 - 6[/tex]
[tex]8 - 6[/tex]
[tex]2[/tex]
Answer:
2
Step-by-step explanation:
Plug in the value:
1/2 b² – 6
1/2 (4)² – 6
Use order of operations (PEMDAS):
There are no parentheses:
Do exponent:
1/2 (16) – 6
Then multiplication and division in the order that they come in:
8 – 6
Then addition and subtraction in the order that they come in:
2
Find the volume in cubic inches
H-12 in.
L-8 in.
W-5in.
Answer:
480[tex]in^3[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism = L x W x H
12 x 8 x 5 = 96 x 5 = 480
480 in^3
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
» How many thirds are in a whole slice of toast?
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
Rewrite each of the following expressions as powers with a base of 2
Answer:
Step-by-step explanation:
what expressions?
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Pls help extra points
Answer:
B
the middle one
Step-by-step explanation:
Rearrange the following times of the day from earliest to latest. 10:30am 04:25 10:45pm 22:15 4:15pm 16:05 4:30 am
Answer:
04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm
24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
square root of 27 lies between which two natural numbers?
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36
Determine the Geometric mean of 18 and 27
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation: