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mash [69]
3 years ago
11

Solve the quadratic equation by completing the square. 4x^2 + 2x - 7 = 0

Mathematics
1 answer:
Brut [27]3 years ago
6 0

Answer:

Exact Form: x = -1 + sqaureroot 29/4

Decimal Form: x = 1.09

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What is the probability that a randomly selected Californian age 18 to 64 exercises for at least 150 minutes per week? Illustrat
Pavlova-9 [17]

Answer:

Step-by-step explanation:

This is a normal distribution question with

Mean = 153

Standard Deviation= 10

Since we know that score

Z_{score}=\frac{x- \mu}{ \sigma }

a)

P(x > 150.0)=?

The z-score at x = 150.0 is,

Z = \frac{150-153}{10} \\\\Z=-0.3

This implies that

P(x > 150.0) = P(z > -0.3)

= 1 - P(z < -0.3) = 1 - 0.3820885778110474

P(x > 150) = 0.6179

8 0
3 years ago
6h^5+0h^4-12h^3+0h^3+0h=0
aliya0001 [1]
<h2>The value of h = 0,  ± \sqrt{2}</h2>

Step-by-step explanation:

We have,

6h^5+0h^4-12h^3+0h^3+0h=0

To find, the value of h = ?

∴ 6h^5+0h^4-12h^3+0h^3+0h=0

⇒ 6h^5 + (0)h^4 - 12h^3 + (0)h^3 + (0)h = 0

⇒ 6h^5 + 0 - 12h^3 + 0 + 0 = 0

⇒ 6h^5  - 12h^3 = 0

Taking 6 h^3 as common, we get

6h^3(h^2-2) = 0

⇒6h^3 = 0 or,   h^2 - 2 = 0

⇒ 6h^3 = 0 ⇒ h = 0

⇒ h^2 = 2  

⇒ h = ± \sqrt{2}

Hence, the value of h = 0,  ± \sqrt{2}

7 0
4 years ago
The bases of a trapezoid are 16.8 yards and 6.9 yards. What is the average of the two bases? 23.7 yd 4.95 yd 9.9 yd 11.85 yd
marusya05 [52]

Answer:

11.85 yards

Step-by-step explanation:

16.8 + 6.9 = 23.7

23.7 / 2 = 11.85

6 0
3 years ago
Find the median of the test scores: 95, 90, 70, 65, 35, 70, 60, 70, 95.
shepuryov [24]

Answer:

Step-by-step explanation:

First, arrange the numbers from least to greatest: 35, 60, 65, 70, 70, 70, 90, 95, 95. Then find the middle number by taking away 1 number from each side.

The middle number is 70, so the median is 70.

5 0
3 years ago
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1) Moving a figure around a fixed point in the plane is called making a _ _ _
Tasya [4]

Answer:

isometry

Step-by-step explanation:

4 0
4 years ago
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