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3 years ago

9x - 7x + 3y - 2y X+ 5y

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

Answer:

3x + 6y

Step-by-step explanation:

CLT

9x-7x+x+3y-2y+5y

3x+6y

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17x
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3 years ago

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5 3/5 as a mixed number

Andrej [43]

5 3/5 is a mixed number but the improper fraction would be 18/5

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1 year ago

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A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha

ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of students received a passing grade = 77%

n = sample of tests = 40

p = population proportion

Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5%

level of significance are -2.5758 & 2.5758}

P(-2.5758 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.5758) = 0.99

P( $-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } }$ , $0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } }$ ]

= [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0

2 years ago

Write -41.27 as a mixed number.

Salsk061 [2.6K]

Answer:

-41 27/100

Step-by-step explanation:

4 0

2 years ago

Help plsss!! I’d rlly appreciate it :]

Lena [83]

The volume of the Apple iPad Mini 2 is 12.561 in³.

The new volume of the Pear-Apple is 24.53 in³.

The new volume of the Pear-Apple is 5.3in³.

The scale factor to have a volume that is half that of the iPad Mini is 0.79.

The scale factor to have a volume that is double that of the iPad Mini is 1.26

<h3 /><h3>What is the volume of the Apple iPad Mini 2?</h3>

Volume = length x width x height

7.9 x 5.30 x 0.30 = 12.561 in³

<h3>What is the volume after the scale factors are applied?</h3>

Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)

= 9.875 x 6.625 x0.375 = 24.53 in³

Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)

= 5.925 x 3.975 x 0.225 = 5.3in³

Scale factor to have a volume that is double that of the iPad Mini : $2^{1/3}$ = 1.26

Scale factor to have a volume that is half that of the iPad Mini : $0.5^{1/3}$ = 0.79

To learn more about scale drawings, please check: brainly.com/question/26388230

#SPJ1

4 0

2 years ago