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Anit [1.1K]
3 years ago
7

Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) No

rmal histogram and... (a) ...to the left of 1.8. (b) ...to the right of 2.4. (c) ...between 1.8 and 2.4.
Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

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3. Write three ratios equal to 4/36
tia_tia [17]

{\Huge{\boxed{\mathbb{QUESTION}}}

Write three ratios equal to \frac{4}{36}

{\huge{\boxed{\mathbb{EXPLANATION\:WITH\:REASONING\;}}}

This ratio can be represented as 4:36

_______________________________

{\Huge{\boxed{\mathbb{THE\:RATIOS}}}

_______________________________

  • 1:9
  • 2:18
  • 3:27

_______________________________

{\huge{\boxed{\mathbb{TERMS}}}

Equivalent/Equal ratios<em> - Definition of Equivalent Ratio A ratio can be represented as a fraction. The concept of an equivalent ratio is similar to the concept of equivalent fractions. A ratio that we get either by multiplying or dividing by the same number, other than zero, to the antecedent and the consequent of a ratio is called an equivalent ratio.</em>

6 0
3 years ago
Find the value for x!!
kkurt [141]

Answer:

58

Step-by-step explanation:

360 degrees in a whole circle

360-294=66

66-26=40

x-18=40

40+18=58

5 0
2 years ago
HELPPPPPPPP!!!!!!!!!!
Novosadov [1.4K]

Step-by-step explanation:

98 = 188t - 16t^2

-16t^2 + 188t = 98

-16t^2 + 188t - 98 = 0

8t^2 - 94t + 49 = 0

Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions

t = [(47 - root 1817) / 8]≈ 0.55

and

t = [(47 + root 1817) / 8] ≈ 11.20

8 0
3 years ago
Carlos is 33 years younger than Kristen. 2 years ago, Kristen's age was 2 times Carlos's age. How old is Carlos now?
ale4655 [162]

Answer:

Carlos is 35 years old now

Step-by-step explanation:

Assume that Carlos is x years old now

∵ Carlos is x years old now

∵ Carlos is 33 years younger than Kristen

- Kirsten's age is the sum of x and 33

∴ Kirsten is x + 33 years old now

2 years ago

∵ Carlos's age = x - 2

∵ Kristen's age = x + 33 - 2 = x + 31

∵ Kristen's age was 2 times Carlos's age

- Equate Kristen's age by 2 times Carlos's age

∴ x + 31 = 2(x - 2)

- Simplify the right hand side

∴ x + 31 = 2x - 4

- Subtract x from both sides

∴ 31 = x - 4

- Add 4 to both sides

∴ 35 = x

∵ x represents Carlos's age now

∴ Carlos is 35 years old now

6 0
3 years ago
X Y Whats the slope<br> 0 0<br> 3 1<br> 12 4<br> 21 7
Alex777 [14]

Answer:

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Step-by-step explanation:

5 0
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