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Lubov Fominskaja [6]
3 years ago
13

Evaluate the expression below a - cd for a = -2, c = 5, d = -3|

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0
-2-(5•-3)= -2-(-15)
= -2+15
=13
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An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
Tanya [424]

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size n_1 = 71

Sample size n_2 = 31

Sample mean \overline x_1 = 41628

Sample mean x_2 = 36,379

Population standard deviation \sigma_1 = 4934

Population standard deviation \sigma_2 = 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at z_{0.02/2} = 2.33

The Margin of Error = z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }

= 2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }

= 2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }

= 2.33 \times \sqrt{906504.06 }

= 2218.40

The Lower limit = ( \overline x_1 - \overline x_2) - (Margin \ of \ error)

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = ( \overline x_1 - \overline x_2) + (Margin \ of \ error)

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

5 0
3 years ago
Help Please! Will mark brainliest. =) Need help on two questions. See photos.
Mashcka [7]
When all sides of a quadrilateral are equal (indicated by tick marks on the four sides) in length and connect the opposing vertices with a line, it will form four 90° angles. Therefore, each equation will equal 90.

10x= 90

x+y= 90

3z= 90

The measure of angles 1 and 3 can be solved as they are so:

10x= 90 ➡️ x=9

3z= 90 ➡️ z= 30

The value of x is needed to solve for the measure of angle 2 so plug in the value of x and solve:

x+y= 90

9+y= 90

y= 81

Therefore the answer is a.
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3 years ago
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Nady [450]

Answer:

-3.2b+9

5.8b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please helped im TIMED on this assignment
aleksley [76]

Answer:

first one is d. a is the second one. b is the 3rd one. d is the 4th one. and a is the 5th one hope this helps!

Step-by-step explanation:


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3 years ago
How many solutions? y=9x+11 y=-9X+11​
Virty [35]

9514 1404 393

Answer:

  1 solution: (0, 11)

Step-by-step explanation:

Each equation is in slope-intercept form. It is easy to see that the slopes are different and the y-intercepts are the same.

The fact that the slopes are different means there is one solution.

The fact that the y-intercepts are the same means that solution is the y-intercept.

4 0
3 years ago
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