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3 years ago

What value of c makes x2 − 24x + c a perfect square trinomial? −144 −48 48 144

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

144

Step-by-step explanation:

Hello, please consider the following.

$x^2-24x+c$

is a perfect square means that the discriminant is 0.

$\Delta = b^2-4ac=24^2-4c=0\\\\24^2-4c =0 4c=576\\\\\text{We divide by 4}\\\\c= \dfrac{576}{4}=144$

Thank you

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You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the

Elis [28]

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

$\rm ME = Z_c\sqrt{\dfrac{pq}{n}}$

$\rm n = \dfrac{Z^2}{ME^2}(pq)$

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05 (because 95% confident)

= 1.960

$\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)$

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

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2 years ago

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givi [52]

Answer:

38 deg

Step-by-step explanation:

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6 0

2 years ago

Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50. Keis

-Dominant- [34]

Answer:

The number of bagels is <u>11</u> and the cups of coffee is <u>12</u>.

Step-by-step explanation:

Given:

Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50.

Keisha spent a total of $40 to buy 23 items.

Now, to find the number of cups of bagels and coffee.

As given in question:

Let $x$ represent the number of bagels.

And $y$ represent the number of cups of coffee.

So, the total number of items:

$x+y=23$

$x=23-y$ ......(1)

Now, the total money spent on items:

$2x+1.50y=40$

Substituting the value of $x$ from equation (1):

$2(23-y)+1.50y=40$

$46-2y+1.50y=40$

$46-0.50y=40$

<em>Subtracting both sides by 46 we get:</em>

$-0.50y=-6$

<em>Dividing both sides by -0.50 we get:</em>

$y=12.$

<em>The number of cups of coffee = 12.</em>

Now, to get the number of bagel we substitute the value of $y$ in equation (1):

$x=23-y$

$x=23-12$

$x=11.$

<em>The number of bagels = 11.</em>

Therefore, the number of bagels is 11 and the cups of coffee is 12.

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3 years ago

Which system of equations has no solution?

Marrrta [24]

Answer:B

Step-by-step explanation:

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2 years ago

Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size

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The "sample" with "mean absolute deviation" indicate about a sample mean absolute deviation is being used as an estimator of the mean absolute deviation of a population

Mean of the sample MAD=3.3
Population MAD =6.4

<h3>What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a population?</h3>

Generally, The MAD measures the average dispersion around the mean of a given data collection.

$1/n \sum_i-1^{n} |x_i -m(X)|$

In conclusion, for the corresponding same to mean

the sample mean absolute deviation

7,7 ↔ 0

7,21 ↔ 7

7,22 ↔ 7.5

21,7 ↔ 7

21,21 ↔ 0

21,22 ↔ 0.5

22,7 ↔ 7.5

Therefore

Mean of the sample MAD=3.3
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2 years ago