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2 years ago

Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

8 0

Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.

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Can someone help me please

sertanlavr [38]

Polygon with different measurements

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4 years ago

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A simple random sample of 2200 hospital patients admitted in a given year shows that 85.5% had an error on their medical bill. W

Andreyy89

Answer:

95% confidence interval for the percent of all the hospital's admitted patients that year who had an error on their medical bill is [84% , 87%].

Step-by-step explanation:

We are given that a simple random sample of 2200 hospital patients admitted in a given year shows that 85.5% had an error on their medical bill.

Firstly, the pivotal quantity for 95% 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 % of patients who had an error on their medical bill = 85.5%

n = sample of hospital patients = 2200

p = population percentage of all the hospital's admitted patients that year who had an error on their medical bill

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.855-1.96 \times {\sqrt{\frac{0.855(1-0.855)}{2200} } }$ , $0.855+1.96 \times {\sqrt{\frac{0.855(1-0.855)}{2200} } }$ ]

= [0.84 , 0.87]

= [84% , 87%]

Therefore, 95% confidence interval for the percent of all the hospital's admitted patients that year who had an error on their medical bill is [84% , 87%].

8 0

3 years ago

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

Bezzdna [24]

Answer: Phoebe have 48 apples.

Explanation:

It is given that Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper.

Let the total number of apples be x.

The sum of the ratios is,

$Sum=5+3+4=12$

Therefore the number of apples shared by Pru, Piper, Phoebe are $\frac{5}{12}x, \frac{3}{12}x,\frac{4}{12}x$ respectively.

It is given that Pru has 24 more apples than Piper, so

$\frac{5}{12}x-\frac{3}{12}x=24$

$\frac{5-3}{12}x=24$

$\frac{2}{12}x=24$

$\frac{1}{6}x=24$

$x=144$

Since phoebe have $\frac{4}{12}x$ appels,

$\frac{4}{12}x=\frac{4}{12}\times 144=48$

Therefore, Phoebe have 48 apples.

8 0

3 years ago

Read 2 more answers

I keep getting this wrong can y’all help me please

DENIUS [597]

Answer:

If n is three,

-2n(5+n-8-3n)

-2*3 (5+3-8-3*3)

-6(0-9)

-6*-9

8 0

3 years ago

Sara had 94 dollars to spend on 8 books. After buying them she had 14 dollars. How much did each book cost

cestrela7 [59]

Answer: $10

Step-by-step explanation:

Let's analize the information given: We know that she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:

$Total\ spent=\$94-\$14\\Total\ spent=\$80$

Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

$cost\ of\ each\ book=\frac{Total\ spent}{8}\\\\cost\ of\ each\ book=\frac{\$80}{8}\\\\cost\ of\ each\ book=\$10$

3 0

3 years ago