Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equ

Answer:

See explanation.

Step-by-step explanation:

Flour:

1 1/4 cups equals 5/4 cups.

5/4 divided by 4 yields 5/4 times 1/4.

= 5/16 cups of flour for each serving.

Sugar (Brown):

1/3 cup divided by 4 gives 1/3 times 1/4.

= 1/12 cups of brown sugar per serving.

Sugar (White):

3/4 divided by 4 results in 3/16 cups per serving.

For 6 servings:

Flour: 5/16 times 6 equals 1 7/8 cups.

Sugar (Brown): 1/12 times 6 results in 1/2 cup.

Sugar (White): 3/16 times 6 equals 1 1/8 cups.

The biggest cube has a volume of 64 cubic units, with sides measuring 4 units each.

The diagram below illustrates the normal distribution curve. The likelihood that his commuting time surpasses 61 minutes is represented by the area under the standard normal curve located to the right of X=61. To determine the z-score, we standardize X=61.

Hello!

To determine the solution, we simply perform a division. 



The result is 0.75

I hope this clarifies things!:)

Answer:

Part 1

a) 0.0791

b) 0.000977

c) 0.7627

Part 2

a) 0.049

b) 0.067

c) 0.864 or 0.136 (depending on the exact question wording)

d) 0.806

Step-by-step explanation:

Part 1

Since each question presents 4 possibilities, and only one answer is correct per question.

The likelihood of answering a question correctly = (1/4) = 0.25

The chance of getting a question incorrect = 1 - 0.25 = 0.75

a) The probability of correctly answering the first question as the 5th implies answering the first four incorrectly, and then getting the last one correct.

0.75 × 0.75 × 0.75 × 0.75 × 0.25 = 0.0791

b) The probability that she answers all questions correctly

0.25 × 0.25 × 0.25 × 0.25 × 0.25 = 0.000977

c) Probability that she answers at least one question correctly = 1 - (probability that none are answered correctly) = 1 - (0.75⁵) = 1 - 0.2373 = 0.7627

Part 2

We will utilize the standard normal distribution for this

a) Area under (Z< -1.65) = P(z < -1.65) = 1 - P(z ≥ -1.65) = 1 - P(z ≤ 1.65) = 1 - 0.951 = 0.049

b) Area under (Z > 1.5) = P(z > 1.5) = 1 - P(z ≤ 1.5) = 1 - 0.933 = 0.067

c) P(z > -1.1) or P(z < -1.1)

P(z > - 1.1) = 1 - P(z ≤ -1.1) = 1 - 0.136 = 0.864

P(z < - 1.1) = 1 - P(z ≥ - 1.1) = 1 - P(z ≤ 1.1) = 1 - 0.864 = 0.136

d) |Z|>1.3 = P(-1.3 < z < 1.3) = P(z < 1.3) - P(z < -1.3)

P(z < 1.3) = 1 - P(z ≥ 1.3) = 1 - P(z ≤ -1.3) = 1 - 0.097 = 0.903

P(z < -1.3) = 1 - P(z ≥ -1.3) = 1 - P(z ≤ 1.3) = 1 - 0.903 = 0.097

P(z < 1.3) - P(z < -1.3) = 0.903 - 0.097 = 0.806