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3 years ago

Solve by completing the square . x^2+7x+3=0show work

Mathematics

2 answers:

Tasya [4]3 years ago

7 0

This is your perfect answer

Murrr4er [49]3 years ago

6 0

Exact form would be:

x = + (square root of 37) divided by 2, subtracted by 7/2

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Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage

quester [9]

Answer: a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : $H_0:p=P$

Alternate hypothesis : $H_1:p\neq P$

So, the test statistic would be

$z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252$

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

$P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219$

Hence, a) -0.2252, b) 0.8219

6 0

3 years ago

Nick can read 3 pages of his book in 1 minute. At this rate how many pages can he read in 30 minutes?

g100num [7]

Answer:

Step-by-step explanation:

3/1=3

30x3=90

5 0

3 years ago

Help !! Please I can’t find the answer

SVETLANKA909090 [29]

Answer:

$\large\boxed{r^2=(x+5)^2+(y-4)^2}$

Step-by-step explanation:

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

$d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}$

The radius:

$r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}$

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4$

$(-5,\ 4)\to h=-5,\ k=4$

Finally:

$(x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13$

5 0

3 years ago

What is 6300kg in grams

vaieri [72.5K]

Answer:

6,300kg=6,300,000grams

multiply 6,300 and 1,000 to get 6,300,000

4 0

3 years ago

What is 1/7+2/3 fractions

cricket20 [7]

Answer:

$\frac{17}{21}$

Step-by-step explanation:

$\frac{1}{7}$ + $\frac{2}{3}$ ( multiply $\frac{1}{7}$ by 3 and $\frac{2}{3}$ by 7 to get a common denominator)

$\frac{3}{21}$ + $\frac{14}{21}$ = $\frac{17}{21}$

5 0

3 years ago

Solve by completing the square . x^2+7x+3=0show work​

Solve by completing the square . x^2+7x+3=0show work