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White raven [17]
2 years ago
14

Find twenty rational number between -3/7 and 2/3​

Mathematics
1 answer:
horrorfan [7]2 years ago
8 0

Answer:

-2/7,-1/7,-2/5, -1/3, -1/10,-1/9,-1/8,-1/11,-1/12,0,1/100, 2/99,1/3,1/4,1/5,3/7,3/11,4/21, 5/23, 11/109,1/2

Step-by-step explanation:

all the number that can be written as a fractions betwwen -3/7 and 2/3​

-3/7≤ x/y≤ 2/3

-3/7 ≈ -0.428..

2/3 ≈ 0.667

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Nara got two new plants for her apartment. Each plant grew at a constant rate.
stira [4]

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster?  B. The second plant

Step-by-step explanation:

Slope of the first plant :

m = (y2 - y1)/(x2- x1)

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

7 0
3 years ago
On Saturday, the Anderson
Bond [772]

Answer:

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

4 0
2 years ago
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and
sergeinik [125]

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

6 0
2 years ago
I need help on this please. Don't answer if you don't know, Thanks
lyudmila [28]

Answer:

I think you can find these answers online...

A good website that I used to use for books like these was www.slader.com, but it might not have everything.

Step-by-step explanation:

4 0
2 years ago
Can someone PLEASE help me with this question?
disa [49]

9514 1404 393

Answer:

  11

Step-by-step explanation:

The future value of the account is given by the formula ...

  A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years

Solving for t, we find ...

  A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P

  log(A/P) = 12t·log(1 +r/12) . . . . . . take logs

Divide by the coefficient of t, then fill in the numbers.

  t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))

  t ≈ 11.497

It will take about 11 years for the account balance to reach the desired amount.

4 0
2 years ago
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