If two lines intersect in one point, then exactly one plane contains both lines.

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

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

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

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

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

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

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

3 years ago

Natasha is making fudge. The recipe calls for 2 pounds of chocolate. Natasha uses a digital scale to weigh the chocolate she has

SpyIntel [72]

Answer:

Yes

Step-by-step explanation:

Th .06 lbs of chocolate will not affect the recipe because .06 is only 3% off.

4 0

3 years ago

Which function is quadratic?

PilotLPTM [1.2K]

Answer:

step 1. A, B,D are incorrectly written as these are not all coordinates. they must be written (x, y)

step 2. so the question becomes is C a quadratic

step 3. The x values must be evenly spaced. the x values are evenly spaced by a difference of 4

step 4. write out the y values: -126, -14, 2, 18

step 5. write out the differences: 140, 16, 16

step 6. write out the differences: -124, 0.

step 7. after doing this twice the numbers nust be the same for this to be a quadratic which they aren't

step 8. C is not a quadratic.

8 0

3 years ago

Express your answer in scientific notation. <img src="https://tex.z-dn.net/?f=3600%20-%206.3%5Ccdot%2010%5E%7B2%7D" id="TexFormu

Ipatiy [6.2K]

Evaluate the power 3600-6.3 x 100, then your gonna want to multiply the numbers 3600-630 , once you subtract the numbers your answer will be 2970

7 0

3 years ago

Please help Quick this is hard so you’ll get brainliest thank you so much

vagabundo [1.1K]

Answer:

number 1: no

number 2: no

number 3: no

5 0

2 years ago