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Trava [24]
3 years ago
11

The strength of a chemical paste product delivered in casks is known to follow a normal distribution with a mean of 59 and a sta

ndard deviation of 3.4. Find the mean strength needed for the casks such that the probability that the cask strength is below 56 is less than 5%.
Mathematics
1 answer:
baherus [9]3 years ago
6 0
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Jenny asked 10 students how many courses they have taken so far at her collegeHere is the list of answers, 12, 10, 14, 7, 1, 19,
olga_2 [115]
60%, she asked 10 students and 6 of them had less than 16. 10/6= .6
5 0
3 years ago
1. Find the slope of the line that goes through the points (2, 5) and (6, 7)
ella [17]

Answer:

\displaystyle m = \frac{1}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, 5)

Point (6, 7)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{7-5}{6-2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{2}{4}
  3. [Fraction] Simplify:                                                                                            \displaystyle m = \frac{1}{2}
7 0
3 years ago
Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches,
kolbaska11 [484]

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

8 0
3 years ago
Evaluate : 5-3(x-1) when x=7
Andrei [34K]

Answer:

<h3>\boxed{ \bold{ \boxed{ \sf{ - 13}}}}</h3>

Step-by-step explanation:

Given , x = 7

let's find :

\sf{5 - 3(x - 1)}

Plug the value of x

⇒\sf{5 - 3(7 - 1)}

Subtract 1 from 7

⇒\sf{5 - 3 \times 6}

Multiply the numbers

⇒\sf{5 - 18}

Calculate

⇒\sf{ - 13}

Hope I helped!

Best regards!!

7 0
3 years ago
Read 2 more answers
What is the length of segment AC?<br><br> 11<br><br> 11.4<br><br> 13<br><br> 5.7
bazaltina [42]

Answer:

The answer is 11.7

Step-by-step explanation:

hope it will help you

5 0
2 years ago
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