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Mazyrski [523]
3 years ago
14

I need help with this please the answers I can choose from are

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Sum of interior angles of a △ = 180°

∴ ∠T + ∠V + ∠U = 180°

⇒ 37° + 63° + X° = 180°

⇒ X° + 100 = 180°

⇒ X° = 180° - 100°

⇒ X° = 80° (D).

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A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

\frac{d}{15-x}= \frac{2d}{15+x}

divide both sides by d

\frac{1}{15-x}= \frac{2}{15+x}

cross multiply

15+x= 2(15-x)

15+x= 30-2x

Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

3x=15

x=5

Speed of river's current = 5 mph

8 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
Can someone plz help me I am really struggling
Neporo4naja [7]

Answer:

dylan has more water

Step-by-step explanation:

1000 milliliters = 1 liter

therefore 600 milliliters = .6 liters

1 - .6 = .4

the liter has .4 more liters of water or 400 more milliliters

3 0
3 years ago
At an animal shelter there are 15dogs, 12 cats, 3 snakes and 5 parakeets . What percent of the number of cats is the number of d
madreJ [45]
Total number of animals at the shelter = 15 + 12 +3 + 5 = 35 animals.
Let the total number of animals be represented by 100%
There are 15 dogs and 12 cats so:
% Number of dogs  = 15/35 x 100% = 42.86%
% Number of cats  = 12/35 x 100%  =  34.28%

6 0
3 years ago
The actual height of the Gateway Arch in St. Louis is 630 feet. A scale model of the arch is 9 inches tall. Which statement(s) a
Semmy [17]

Answer:

D. The scale factor is 1:840

Step-by-step explanation:

Make 630 ft into inches, so 7560

Then make it 9/7560, which simplifies to 1/840

6 0
3 years ago
Read 2 more answers
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