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3 years ago

Help. I've been staring at this math question for hours. I can't figure it out.

Mathematics

1 answer:

kogti [31]3 years ago

4 0

All the numbers are tilted at a 90 degree angle, except for the number 4 which it tilted at an angle of 89 degrees, hoped this helps

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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

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

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

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

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

= [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

3 years ago

A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m

zvonat [6]

The maximum number of palettes that the elevator can carry in one trip is 5.

425 times 5= 2,125+ 195= 2,320

Hope this helps!! :-)

6 0

3 years ago

Please help me, i promise its worth it!!!

Rashid [163]

$\\ \sf\longmapsto 2(L+B)=55$

$\\ \sf\longmapsto 2(\dfrac{4}{3}x+x)=55$

$\\ \sf\longmapsto \dfrac{8}{3}x+2x=55$

$\\ \sf\longmapsto \dfrac{8x+6x}{3}=55$

$\\ \sf\longmapsto \dfrac{14x}{3}=55$

$\\ \sf\longmapsto 14x=165$

$\\ \sf\longmapsto x=11.78$

$\\ \sf\longmapsto x\approx 12$

Now

B=x=12
L=4/3(12)=4(4)=16

5 0

3 years ago

Read 2 more answers

What is the SST for the data set (1,5), (2,9), (4,10)

lianna [129]

I think that the answer is (4,10). hope it helped :)

3 0

3 years ago

Read 2 more answers

Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x

Fittoniya [83]

The table models an exponential relationship, and the equation of the table is $y = 4(1/2)^x$

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x 0 1 2 3 4

y 4 2 1 1/2 1/4

The above table shows an exponential model

An exponential model is represented as:

$y = ab^x$

When x = 0 and y = 4, we have

$ab^0 = 4$

Evaluate

a = 4

When x = 1 and y = 2, we have

$ab^1 = 2$

Evaluate

$ab = 2$

Substitute 4 for a

4b = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in $y = ab^x$

$y = 4(1/2)^x$

Hence, the equation of the table is $y = 4(1/2)^x$

Read more about exponential models at:

brainly.com/question/11464095

#SPJ1

6 0

2 years ago