All categories

2 years ago

A set of physics exam scores are normally distributed with a mean of 80 points and a standard deviation of 6

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

3 0

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

mean: 80 points

standard deviation (sd): 6 points
value of interest (x): 95 points

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

You might be interested in

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

7 0

2 years ago

If the measurement of Angle 6 = 50 degrees, then the measurement of Angle 3 = 50 degrees

olga_2 [115]

Answer:

True

Step-by-step explanation:

angle 3 and 6 are alternate angles.

alternate angles have the following characteristics:

1. they are inside the parallel lines

2. they are on opposite sides of the transversal

3. they are EQUAL

another example of alternate angles is angle 4 and angle 5

4 0

2 years ago

Read 2 more answers

caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look

Sunny_sXe [5.5K]

Check the picture below.

thus then

$\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards$

8 0

2 years ago

Read 2 more answers

Divide £2400 into the ratio 5:7

sergiy2304 [10]

Answer:

£1000, £1400

Step-by-step explanation:

Sum the parts of the ratio 5 + 7 = 12 parts

Divide the amount by 12 to find the value of one part of the ratio.

£2400 ÷ 12 = £200, thus

5 parts = 5 × £200 = £1000

7 parts = 7 × £200 = £1400

7 0

2 years ago

15 × (-4) ÷ 5 please

Step2247 [10]

Answer: -12

Work: Since -4 is in parentheses, I did -4 / 5 first. After doing the division, I had gotten -0.8. I multiplied -0.8 by 15, and had gotten -12.

7 0

2 years ago