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Ilya [14]
3 years ago
10

The square of a number minus twice the number is 48. Find the number.

Mathematics
1 answer:
tigry1 [53]3 years ago
8 0

Answer: 8 or -6

Step-by-step explanation:

x^2 - 2x = 48

x^2 - 2x - 48 = 0

(x-8)(x+6) = 0

x = 8 or -6

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The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
bearhunter [10]

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500

4 0
3 years ago
Does Anyone Know the Surface Areas of These 2 Triangular Prisms?
zlopas [31]
For 4) S.A = 224.37 cm
5) S.A = 192.74 in
7 0
4 years ago
Which expression is equivalent to x + y + x + y + 3(y + 5)?
Lemur [1.5K]

Answer:

2x + 5y + 15

Step-by-step explanation:

Step 1: Combine like terms

2x + 2y + 3(y + 5)

Step 2: Distribute

2x + 2y + 3y + 15

Step 3: Combine like terms

2x + 5y + 15

8 0
3 years ago
The graph of y= is shown.
Tomtit [17]

Answer:

Below.

Step-by-step explanation:

(a).  From the graph the x estimates of the turning points are

-1.8 and 1.1.

(b).  The solutions are where the graph crosses the x axis .. They are:

x = -3, 0 and 2.

3 0
3 years ago
Geometry question. Please help :)
vladimir1956 [14]

The answer is AAS congruency.

∠1 = ∠4

∠B = D

AC = AC (common)

∴ ΔADC ≅ ΔABC by AAS congruency.

Hope this helps :)

4 0
3 years ago
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