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malfutka [58]
2 years ago
14

the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data samp

le, how many of them were in the 75 to 80 range?

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

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Alina [70]

Answer:

12 x 10 = 120

120 divided by 2 = 60

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

8 0
2 years ago
If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​
Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

log(x + y) = log3 +  \frac{1}{2} logx+  \frac{1}{2} logy \\  \\ log(x + y) = log3 +    logx ^{\frac{1}{2}} +   logy ^{\frac{1}{2}}\\  \\  log(x + y) = log3 +    log(xy) ^{\frac{1}{2}} \\  \\ log(x + y) =  log[3(xy) ^{\frac{1}{2}}] \\  \\ x + y = 3(xy) ^{\frac{1}{2}} \\  \\ squaring \: both \: sides \\  {(x + y)}^{2}  =  \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2}  \\  \\  {x}^{2}  +  {y}^{2}  + 2xy = 9xy \\  \\  {x}^{2}  +  {y}^{2}  = 9xy - 2xy \\  \\   \purple{ \bold{{x}^{2}  +  {y}^{2}  = 7xy}} \\ thus \: proved

7 0
2 years ago
Read 2 more answers
Ron bought 6 tickets to a concert by the orchestra in his town. If he gave the cashier $75 and received $3 in change, how much d
Harman [31]
75-3= 72
72/6= 12
Each ticket costs $12.00
8 0
3 years ago
Read 2 more answers
Let W (a) = a^3- a^2 Find W (2)
grin007 [14]

Answer:

4

Step-by-step explanation:

plug in 2 for the a variables and you get 4 as the answer.

8 0
2 years ago
Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a
Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

  1. With the deal, Charlotte's before tax cost is $895.6
  2. The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

  • f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

  • 889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

  • 895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

#SPJ1

5 0
1 year ago
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