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2 years ago

PLEASE PLEASE PLEASE HELP AND QUICK

Mathematics

1 answer:

prohojiy [21]2 years ago

7 0

Add all of the water he drank together:

$8 \frac{2}{8} + 8 \frac{4}{8} + 8 \frac{4}{8} + 8 \frac{4}{8} + 8 \frac{6}{8}$

Add fractions:

$\frac{2}{8} + \frac{4}{8} + \frac{4}{8} + \frac{4}{8} + \frac{6}{8} = \frac{20}{8} = 2 \frac{1}{2}$

Add whole numbers and fraction:

$8 + 8 + 8 + 8 + 8 + 2 \frac{1}{2} = 42 \frac{1}{2}$

Divide by 5:
42.5/5=8.5
Jorge should drink 8.5 water a day

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Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two h

olga_2 [115]

Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

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8 0

3 years ago

g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos

vazorg [7]

Answer:

a) The relative risk is 1.8 $\overline{846153}$

b) The attributable risk is $0.69 \overline{047619}$

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337 rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8 $\overline{846153}$

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = $0.69 \overline{047619}$

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

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2 years ago

Cos (-Ø)= √3/3 sinØ <0 what is the value of sinØ?

Inga [223]

Answer:

sin∅= - √6/3

Step-by-step explanation:

Trigonometric function cos is even function which mean:

cos (-∅) = cos ∅

Trigonometric function sin is odd function which mean:

sin (-∅) = - sin∅ => sin∅ < 0

The basic trigonometric equation reads in this case with angle marked ∅:

sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>

sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>

sin∅ = - √2/√3 => sin∅ = - √6/3

God with you!!!

3 0

3 years ago

Find the acute angle between the two given lines<br><br> y=-2x and y=x

Marina CMI [18]

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

3 0

3 years ago

One of the largest pizzas ever made had a diameter of 80 yards. To the nearest square yard, what is the area of this pizza?

ladessa [460]

Answer: The area is 5024 yrd^2

Step-by-step explanation:

80 is the diameter to we need to divide it by 2 to find the radius

80/2= 40

A= 3.14* 40^2

A = 3.14 * 1600

A= 5024

5 0

3 years ago