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worty [1.4K]
3 years ago
6

Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They ha

ve had three local matches, a, b and c, and will attend a district match. District match points count for twice the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, d, to advance.
d = T - a - b - c all over 2
d = T over 2 - a - b - c
d = T + a + b + c all over 2
d = 2(T − a − b − c)
Mathematics
2 answers:
tankabanditka [31]3 years ago
7 0

Answer:

T - a - b - c all over 2

Step-by-step explanation:

hodyreva [135]3 years ago
7 0

Answer:

Option 1 - d=\frac{T-a-b-c}{2}

Step-by-step explanation:

Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance.

Tisha and her academic team have had three local matches a,b and c.

So, the point they need to earn is d=T-a-b-c

District match points count for twice times the number of points than local matches do.

So, the point in district mach is 2d.

The equation that would help Tisha is

2d=T-a-b-c

d=\frac{T-a-b-c}{2}

Therefore, option 1 is correct.

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A coat is on sale for 65% of the original price of $58. Calculate the sale price. Explain please
lys-0071 [83]

Answer:

$37.70

Step-by-step explanation:

65 divided by 100 multiplied by $58 is $37.70

5 0
3 years ago
Read 2 more answers
2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi
Oksana_A [137]

Answer:

(a) E(X) = 950

(b) $ COV = 0.007255$

(c) P(X > 980) = 0.00001\\\\

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$ COV = \frac{\sigma}{E(X)} $

Where the standard deviation is given by

\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892

So the coefficient of variance is

$ COV = \frac{6.892}{950} $

$ COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 980)  = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980)  = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980)  = 1 - P(Z < 4.28)\\\\

The z-score corresponding to 4.28 is 0.99999

P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0
3 years ago
Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?
OlgaM077 [116]

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

8

- 4

5

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

40

- 32

40

= 35 - 32

40

= 3

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

40

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

6 0
3 years ago
Identify the variation as direct inverse joint or combined. The cost of the number of the same articles purchased varying with t
olasank [31]
This is a direct variation, since the cost and the number of articles purchases both go up.
8 0
3 years ago
Read 2 more answers
Area of composite shapes!!
Bingel [31]

Answer:

34.5 units²

Step-by-step explanation:

7 x 3 = 21

4.5 x 3 = 13.5

21 = 13.5 = 34.5 units²

4 0
3 years ago
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