The gmac insurance company reported that the mean score on the national drivers test was 70.5 with a standard deviation of 3.6 points. the test scores are approximately bell-shaped. approximately 68% of all test scores were between two values a and b. what is the value of a? write only a number as your answer. round to one decimal place.

In statistics, the 68–95–99.7 rule, also known as the three-sigma rule or empirical rule, states that nearly all values lie within three standard deviations of the mean in a normal distribution.

About 68.27% of the values lie within one standard deviation of the mean. Similarly, about 95.45% of the values lie within two standard deviations of the mean. Nearly all (99.73%) of the values lie within three standard deviations of the mean.

In mathematical notation, these facts can be expressed as follows, where x is an observation from a normally distributed random variable, μ is the mean of the distribution, and σ is its standard deviation:

P( μ – σ ≤ x ≤ μ + σ ) ≈ 0.6827

P( μ –2σ ≤ x ≤ μ + 2σ ) ≈ 0.9545

P( μ –3σ ≤ x ≤ μ + 3σ ) ≈ 0.9973

So here A = μ – σ = 78.7 – 3.5 = 75.2 (answer

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

answer: 10 meter

step-by-step explanation:

need details