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svetoff [14.1K]
3 years ago
9

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

standard deviation of 100.
Using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? Express your answer as a decimal.

What is the answer?
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
Because it will be  half2 standard deviation which will include 500-700.
2std will include from 300-700.
so it will be half of 95%.
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Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104
omeli [17]

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

3 0
3 years ago
Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de
DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{21}{5} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

s^2 = \dfrac{364.8}{4}} = 91.2

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

Mean =\displaystyle\frac{25.2}{6} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

s^2 = \dfrac{364.8}{5}} = 72.96

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0
3 years ago
Sylvia's income from a full time job is 500 dollars per week . How much is Sylvia's annual income​
geniusboy [140]

Answer:

$26,000 for all 52 weeks

Step-by-step explanation:

52 x 500 is 26,000

5 0
2 years ago
Read 2 more answers
There are six people at a bus stop. Each person is half the age of the next person in line. The mean age of the group is 21. How
Mice21 [21]

Answer:

The youngest person is 2 years old

Step-by-step explanation:

There are six people at a bus stop.

We are told that:

The mean age of the group is 21.

The total number of people is 6 people

Hence:

The total sum of their ages is 21 × 6

= 126

Each person is half the age of the next person in line.

Let the age of the first person be = x

The age of the second person = x/2

The age of the third person = x/2 ÷ 2 = x/2 × 1/2 = x/4

The age of the fourth person = x/4 ÷ 2

x/4 × 1/2 = x/8

The age of the fifth person = x/8 ÷ 2

x/8 × 1/2 = x/16

The age of the sixth person = x/16 ÷ 2

x/16 × 1/2 = x/32

Hence:

x + x/ 2 + x/4 + x/8 + x/16 + x/32 = 126

Lowest Common Denominator is 32

32x + 16x + 8x + 4x + 2x + x/32 = 126

63x /32 = 126

Cross Multiply

63x = 126 × 32

63x = 4032

x = 4032 /63

x = 64 years

Hence, the age of the first person is 64 years.

The age of the youngest person which is the sixth person is :

x/32

= 64/32

= 2 years

7 0
3 years ago
A + b= 7<br>a - b = 3<br><br>Plz help I'm confuse​
Maslowich

Answer:

a=5; b=2

Step-by-step explanation:

a = 3 + b \\ 3 + b + b = 7 \\ b = 2

a = 2 + 3 = 5

6 0
2 years ago
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