A plane ticket barcelona costs £175 the price decreases by 6% work out the new price

Answer:

 -1.7x -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

I prefer to align them one above the other.

−4.2x+3

 2.5x−6

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 -1.7x -3

Answer:

The male to female nurse ratio in simplest form is: 2:5

Step-by-step explanation:

Fact: A hospital has a total of 250 registered nurses.

Total number of male nurses is 100

Total number of female nurses is 250 - 100 = 150 [Total nurses minus number of male nurses]

To determine the ratio of male to female nurses in simplest terms;

A ratio indicates the relative proportions of two or more quantities.

Thus,

=

or

= = 2:5

Consequently, the male to female nurses ratio in simplest form is; 2:5

Option C is correct. Step-by-step explanation: We need to identify which options are equivalent to 7/3. By evaluating each option: Option A: 9/49 is incorrect as it cannot be further simplified to yield multiples adequate to match. Option B: 18/42 reduces to 3/7, which does not equal 7/3, hence, incorrect. Option C: 42/18 divides down to 7/3, marking it as the correct choice. Option D: 49/9 also cannot be simplified to produce valid multiples.

The value of y that would ensure OP runs parallel to LN is 36. Step-by-step explanation: This pertains to the concept of similar triangles. The diagram based on the provided data is attached. Given: The length of OL is 14, OM is 28, MP is y, and PN measures 18. The total length of MN is the combination of MP and PN, expressed as y + 18. The length ML is calculated as MO plus OL, giving us 28 + 14 = 42. For OP to be parallel to LN, the ratio MO to ML must equal MP to PN, formulated as MO/ML = 28/42 and MP/PN= y/(y+18). By equating both ratios 28/42 = y/(y+18), it simplifies to 42y = 28(y + 18). Solving for y leads to 42y being equal to 28y + 504, resulting in 14y = 504. Thus, y equals 504/14 = 36.

Answer:

0.0359

Step-by-step explanation:

Provided values:

Mean durations of three independent processes are 15, 30, and 20 minutes.

The associated standard deviations are 2, 1, and 1.6 minutes, respectively.

Thus,

New Mean = 15 + 30 + 25 = 65

Variance = (standard deviation)²

or

Variance = 2² + 1² + 1.6² = 7.56

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Standard deviation = √variance

or

Standard deviation = 2.75

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Z-value =

or

Z-value = - 1.81

Consulting the Z-table, the Probability of Z ≤ -1.81 is equal to 0.0359.

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