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Nataly_w [17]
3 years ago
11

I WILL GIVE BRAINLIST

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

3,406.5 litres/hr

Step-by-step explanation:

The liquid is being poured at a rate of 15 gallons per minute.

1 minute = 1/60 hour

Thus, the rate can be written as:

15 gallons pet 1/60 hour

We are told that one gallon is approximately 3.785 liters.

Thus;

15 gallons = 15 × 3.785 litres = 56.775 litres.

Thus, the rate is;

56.775 litres per 1/60 hour

We want to find in litres/hr.

By proportion, we have it as;

(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr

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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged
Temka [501]

Answer:

a) 0.283  or 28.3%

b) 0.130 or 13%

c) 0.4 or 40%

d) 30.6 mm

Step-by-step explanation:

z-score of a single left atrial diameter value of healthy children can be calculated as:

z=\frac{X-M}{s} where

  • X is the left atrial diameter value we are looking for its z-score
  • M is the mean left atrial diameter of healthy children (26.7 mm)
  • s is the standard deviation (4.7 mm)

Then

a) proportion of healthy children who have left atrial diameters less than 24 mm

=P(z<z*) where z* is the z-score of 24 mm

z*=\frac{24-26.7}{4.7} ≈ −0.574

And P(z<−0.574)=0.283

b) proportion of healthy children who have left atrial diameters greater than 32 mm

= P(z>z*) = 1-P(z<z*) where z* is the z-score of 32 mm

z*=\frac{32-26.7}{4.7} ≈ 1.128

1-P(z<1.128)=0.8703=0.130

c) proportion of healthy children have left atrial diameters between 25 and 30 mm

=P(z(25)<z<z(30)) where z(25), z(30) are the z-scores of 25 and 30 mm

z(30)=\frac{30-26.7}{4.7} ≈ 0.702

z(25)=\frac{25-26.7}{4.7} ≈ −0.362

P(z<0.702)=0.7587

P(z<−0.362)=0.3587

Then P(z(25)<z<z(30)) =0.7587 - 0.3587 =0.4

d) to find the value for which only about 20% have a larger left atrial diameter, we assume

P(z>z*)=0.2 or 20% where z* is the z-score of the value we are looking for.

Then P(z<z*)=0.8 and z*=0.84. That is

0.84=\frac{X-26.7}{4.7}  solving this equation for X we get X=30.648

5 0
3 years ago
Which of these descriptions matches the graph?
qwelly [4]

The correct answer is A. Jimmy is running late, so he starts to run to school  but needs to take breaks.

Explanation:

The graph shows the distance in axis y and the time in axis x. Additionally, the graph presents different sections from A to E. In this, the sections A, C, and E show an increase in the distance from home, this implies there was movement. Moreover, the speed (distance traveled in time) is higher in sections C and E than in A because the distance increases in a shorter time. Also, in sections D and B there is no movement as time continues but the distance is the same. In this context, the description that best matches the graph is "Jimmy is running late, so he starts to run to school  but needs to take breaks" because this is the only option that includes the breaks or lack of movement in sections B and D. Also, the changes in speed are likely to occur in this scenario.

7 0
3 years ago
Read 2 more answers
A club is making posters to raise money. The printer charges a base fee of $270 and $2 per poster for supplies. A person sells e
sesenic [268]

<u>Answer:</u>

He must sell 190 posters make a profit of $300.

<u>Explanation: </u>

Given:

Base fee= $270  

Fee for supplies= $2

Cost of poster=$5

To find:

The number of posters to be sold to get a profit of $300=?

Solution:

Let the number of posters sold be n.

Now, we know that,

profit = selling price – cost price

$ 300 = $ 5 for each poster – ( $ 270 base fee + $ 2 for each poster)

300 = 5 x n – (270 + 2 x n)  

300 = 5n – 270 – 2n  

5n – 2n = 300 + 270  

3n = 570  

n=\frac{570}{3}

n = 190

6 0
2 years ago
.009 is 1/10 of what
IRINA_888 [86]

Answer:

If it's of which decimal than the answer will be 0.09

7 0
2 years ago
The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.
kobusy [5.1K]
a_{1} = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!
5 0
3 years ago
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