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natita [175]
3 years ago
6

Sarai is mixing a solution. She pours all the liquid from a full small beaker into a larger beaker. The liquid fills the large b

eaker to 15% of its capacity. If the small beaker holds 300 mL, how much does the large beaker hold?
Mathematics
1 answer:
n200080 [17]3 years ago
3 0

Answer:

2000 ml

Step-by-step explanation:

Given: Sarai pours all the liquid from a full small beaker into a larger    beaker.

           The liquid fills the large beaker to 15% of its capacity.

            The small beaker holds 300 ml.

Lets assume capacity of large beaker to hold be "x".

As given, Sarai pours all the liquid from a full small beaker into a larger beaker

∴ 15\% \times x= 300\ ml

⇒ 0.15x= 300

Dividing both side by 0.15

⇒x= \frac{300}{0.15}

∴ x= 2000\ ml

Hence, the large beaker can hold 2000 ml of liquid.

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The following histogram shows the relative frequencies of the heights, recorded to the nearest inch, of a population of women. T
Airida [17]

Answer:

The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

Answer:

0.22268

Step-by-step explanation:

z-score is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work

At least means equal to or greater than 67 inches

z = 67 - 64.97/2.66

z = 0.76316

P-value from Z-Table:

P(x<67) = 0.77732

P(x>67) = 1 - P(x<67) = 0.22268

The probability that the selected woman will have a height of at least 67 inches is 0.22268

Step-by-step explanation:

6 0
3 years ago
 Divide 1 hour in the ratio 1 : 9 : 10
olganol [36]

Answer:

3 minutes; 27 minutes; 30 minutes

Step-by-step explanation:

Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.

Therefore,

x + 9x + 10x = 1 \: hour \\  \\ 20x = 60 \: minutes \\  \\ x =  \frac{60 \: minutes}{3}   \\  \\ x = 3 \: minutes \\  \\ 9x = 9 \times 3 = 27 \: minutes \\  \\ 10x =  10 \times 3 = 30 \: minutes

Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:

3 minutes; 27 minutes; 30 minutes

5 0
3 years ago
How much time has<br> Passed from 6:25.Am<br> Unitil 10:25 pm
stealth61 [152]
16 hours has passed
6 0
3 years ago
Find the average rate of change of the function from x=1 to x=2.<br><br><br><br> f(x)=−14/x^2
Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

f\left(x\right)=-\frac{14}{x^2}

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

6 0
3 years ago
If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F .
pashok25 [27]

The measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28

<h3>How to determine the measure of angle EBF?</h3>

The angle measures are given as

If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F

Rewrite the angle measures properly.

This is done, as follows

m∠ABF = (8w − 6)°

m∠ABE = [2(w + 11)]

The measure of angle m∠EBF is calculated as:

m∠ABF = m∠ABE + m∠EBF

Substitute the known values in the above equation

8w - 6 = 2(2w + 11) + m∠EBF

Open the brackets

8w - 6 = 4w + 22 + m∠EBF

Evaluate the like terms

m∠EBF = 4w - 28

Hence, the measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28

Read more about angles at

brainly.com/question/25716982

#SPJ1

5 0
2 years ago
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