Estimation for 6.76 + 2.91

The GMAC Insurance company reported that the mean score on the National Drivers Test was 70.5 with a standard deviation of 3.6 p

aliina [53]

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

7 0

4 years ago

5

Vladimir79 [104]

Answer:

The equation best represents the line is:

y = 3x-1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Taking the two points

(0, -1)

(1, 2)

Determining the slope between the points (0, -1) and (1, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)$

$m=\frac{2-\left(-1\right)}{1-0}$

Refine

$m=3$

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the point (0, -1)

It means at x = 0, y = -1

Thus, the y-intercept b = -1

now substituting b = -1 and m = 3 in the slope-intercept form

y = mx+b

y = 3x + (-1)

y = 3x-1

Therefore, the equation best represents the line is:

y = 3x-1

5 0

3 years ago

Please help me :)

motikmotik

Answer:

6.95x10^8

Step-by-step explanation:

7x10^8=700000000

5x10^6=5000000

700000000-5000000-695000000 or 6.95x10^8

7 0

4 years ago

1 Middle School Mathematics 5 points stio49304Asked 03.20.2020 Charlotte runs a farm stand that sells bananas and raspberries. E

denis23 [38]

Answer:

The number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

Step-by-step explanation:

Given:

Charlotte runs a farm stand that sells bananas and raspberries.

Each pound of bananas sells for $3.25 and each pound of raspberries sells for $1.75.

Charlotte sold 13 more pounds of bananas than pounds of raspberries and made $227.25 altogether.

Now, tot find the number of pounds of bananas sold and the number of pounds of raspberries sold.

Let the number of pounds of raspberries be $x.$

Let the number of pounds of bananas be $x+13.$

Selling price of each pound of raspberries = $1.75.

Selling price of each bananas = $3.25.

Total price of bananas and raspberries sold = $227.25.

Now, we put an equation to get the number of pounds of bananas sold and the number of pounds of raspberries sold:

$x(1.75)+x+13(3.25)=227.25\\\\1.75x+3.25x+42.25=227.25\\\\5x+42.25=227.25$

Subtracting both sides by 42.25 we get:

$5x=185$

Dividing both sides by 5 we get:

$x=37.$

The number of pounds of raspberries = 37 pounds.

Substituting the value of $x$ :

$x+13\\\\=37+13\\\\=50.$

The number of pounds of bananas = 50.

Therefore, the number of pounds of bananas sold are 50 and the number of pounds of raspberries sold are 37.

3 0

4 years ago

Multiply mixed numbers 5 times 1 3/4=

insens350 [35]

Answer: 8.75 is your answer

3 0

3 years ago

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