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laila [671]
3 years ago
5

Solve the equation: q²+2q-8=0​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

Answer:

q = -4   q=2

Step-by-step explanation:

q²+2q-8=0​

Factor

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4-2 = 2

(q+4)(q-2) =0

Using the zero product property

q+4 = 0  q-2 =0

q = -4   q=2

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The scores of an eighth-grade math test have a normal distribution with a mean Mu = 83 and a standard deviation Sigma = 5. If Di
tresset_1 [31]

The missing choices are:

A. z-score = 92 - 83

B. z-score = (92 - 83)/5

C. z-score = 83 - 92

D. z-score =  (92 - 83)/92

The expression she would write to find z-score is z-score = \frac{92-83}{5} ⇒ B

Step-by-step explanation:

The rule of z-score is z = (x -μ)/σ, where

  • x is the score
  • μ is the mean
  • σ is the standard deviation

The scores of an eighth-grade math test have a normal distribution

∵ The mean is 83

∴ μ = 83

∵ The standard deviation is 5

∴ σ = 5

∵ Din’s test score was 92

∴ x = 92

- Substitute all of these values in the formula of z-score

∴ z-score = \frac{92-83}{5}

The expression she would write to find z-score is z-score = \frac{92-83}{5}

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
The school cafeteria buys bottles of water for $0.75 each and sells them for $1.05 each. By what percentage does the cafeteria m
ehidna [41]

Answer:

40

Step-by-step explanation:

Cost of the bottles of water = $0.75

Sales of the bottle= $1.05

markup Price= [(Sales of the bottle)-(Cost of the bottles of water)]/Cost of the bottles of water

= ($1.05- $0.75)/$0.75

= $0.30/$0.75

=0.40×100%

40%

=

7 0
3 years ago
Eduardo purchased a car for $18,500 with 6.5% sales tax, a freight charge of $450, a registration fee of $155, and an ownership
siniylev [52]

Answer:

17852.5$

Step-by-step explanation:

I already answer this in another part, but here it is againa:

In this case, all you need to do is sum all the amounts and take out the down payment of 2500$

First, the car of 18,500 with the 6.5% sale tax, it would be:

18,500 * (6.5/100) = 1202.5$

18500 + 1202.5 = 19702.5$

Now the charge and fees:

450+155+45 = 650$

Then:

19702.5 + 650 = 20352.5$

Finally, the down payment:

20352.5 - 2500 = 17852.5 $

6 0
3 years ago
a plane rises from take-off and flies at an angle of 6 with the horizontal runway. When it has gained 900 feet, find the distanc
Vladimir79 [104]

Answer:

d=8610.1ft

Step-by-step explanation:

From the question we are told that:

Angle \theta =6\textdegree

Height of plane h=900ft

Generally the trigonometric equation for distance flown d is mathematically given by

  sin \theta=\frac{h}{d}

Therefore

 d=\frac{h}{sin\theta}

 d=\frac{900}{sin6}

 d=8610.1ft

6 0
3 years ago
A football field measures 300 feet in length. It can also be expressed as approximately 5 7x 10miles. If the
kogti [31]

Answer:

The question is incomplete or there are details missing.

Step-by-step explanation:

From similar parameters, if by what they mean is that the football field measures 300feet in length, which is the dimension in length, this can also be in terms of metre.

The conversion factor between ft and metre is 1ft = 0.3048m

As such, we can only have variations or the length of the field measured may have ranges of measurement,  but as it is the length of the field can not be expressed in terms of miles, the most reasonable vale of n we can get will be the least measurement in metres.

3 0
3 years ago
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