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2 years ago

Find equivalent fraction with a common denominator and order from least to greatest

2 answers:

6 0

The fractions would be in order-
3/10, 1/2, 4/5
Because if you change each fraction to a denominator of 10, the numbers will be 3/10, 5/10, and 8/10

kaheart [24]2 years ago

3 0

3/10, 1/2, 4/5
there you go

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A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de

tiny-mole [99]

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, $\hat{p}$ = 0.6

Therefore $\hat{q}$ = 1 - $\hat{p}$ = 1 - 0.6 = 0.4

The sample size = 12

Therefore the standard deviation of the sample,

$s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} } = \sqrt{\frac{0.6 \times 0.4}{12} } = 0.1414$

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

The answer is c.) 0.6 and 0.14

6 0

2 years ago

Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

$A\cdot e^{7\cdot B} = 12$ (2)

$A\cdot e^{8\cdot B} = 25$ (3)

If we divide (3) by (2), we calculate the value of $B$ :

$e^{B}=\frac{25}{12}$

$B = \ln \frac{25}{12}$

$B \approx 0.734$

And by (2), we determine the value of $A$ :

$A = 12\cdot e^{-7\cdot B}$

$A = 0.0704$

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

4 0

2 years ago

Solve the system equations. <br> X+2y=0<br> 10y=-5

nexus9112 [7]

Answer:

x=1

y=-1/2

Step-by-step explanation:

x+2y=0....(1)

10y=-5.....(2)

From (2) we can find y.

y=-5/10

y=-1/2

Use that in (1)

x+2*(-1/2)=0

x-1=0

x=1

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