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tiny-mole [99]
3 years ago
8

A hippopotamus weight 1.5 tons. what is its weight in ounces

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0
1.5 tons = 48000 ounces
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X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What w
sukhopar [10]

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

7 0
3 years ago
In a science fair​ project, Emily conducted an experiment in which she tested professional touch therapists to see if they could
saul85 [17]

Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

Sample size (n) = 296

Selected sample (X) = 143

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

The  proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?

Point estimate (p') = \frac{X}{n}

= (p') = \frac{143}{296}

= 0.4831

c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

The Z_c for 90% is 1.645

Using the formula P" -E < P < P" + E

where E = margin of error :  Z_c * \sqrt{\frac{P(1-P)}{n} }

=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }

=1.645 * \sqrt{\frac{0.2497}{296} }

=1.645*0.029

= 0.0477

∴ P" -E < P < P" + E

= 0.4831 - 0.0477 < P < 0.4831 + 0.0477

= 0.4354 < P < 0.53008

8 0
4 years ago
Giving Brainliest if correct!!
zloy xaker [14]

Answer:

im not sure, ill come back later to see

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the simple interest earned on $ 235 at 4.5 % for 2 years?
Igoryamba

Answer:

$21.15

Step-by-step explanation:

(235)(.045)(2)

3 0
2 years ago
Please help..
dexar [7]

9514 1404 393

Answer:

  (d)  2/3(11)

Step-by-step explanation:

The height of the cylinder is h=2r, so the volume of the cylinder in terms of radius is ...

  V = πr^2·h = πr^2·(2r) = 2πr^3

The volume of the sphere is given by the formula ...

  V = (4/3)πr^3

So, the ratio of the sphere volume to the cylinder volume is ...

  sphere volume / cylinder volume = ((4/3)πr^3)/(2πr^3) = (4/3)/2 = 2/3

That is, the sphere volume is ...

  sphere volume = (2/3) × (cylinder volume)

  V = (2/3)(11)

8 0
3 years ago
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