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Basile [38]
3 years ago
11

What method most efficient to use to solve x^2+6x-7=0

Mathematics
1 answer:
mestny [16]3 years ago
3 0
Compare like terms and add
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A company is manufacturing a new ice cube with a hole in the center, which they claim will cool a drink twice as fast as a cube
Alenkinab [10]
The new cube will have 7 surfaces: 4 equal square sides, 2 square surface with a hole, and one hole surface.

Area (A1) of 4 square surfaces = 4*L*W = 4*4*4 = 64 cm^2
Area (A2) of the two surfaces wit a hole = 2(L*W - 2πd^2/4) = 2(4*4-π*2^2/4) = 25.72 cm^2
Area (A3) of  the hole = πD*W = π*2*4 = 25.13 cm^2

Total surface area, A = A1+A2+A3 = 64+25.72+25.13 = 114.85 cm^2
6 0
3 years ago
Which of the sums below can be expressed as 7(4 + 9)?
mariarad [96]
7(4+9) is equal to:

7(4)+7(9) which is equal to:

28+63
6 0
3 years ago
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Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater
jeka57 [31]

Answer:

a. 0.1917

b. 0.0914

d. 0.1580

Step-by-step explanation:

(a)

 P^D = \frac{15}{40} = 0.375

 P^E = \frac{11}{60} =0.8133

Mean, \sigma_{P^D-P^E} = P^D-P^E = 0.375 -0.1833 = 0.1917

(b) sample prop ? Show your work and label each value.

Mean,   =  = 0.1917

Standard deviation = \sqrt{\frac{P^D(1-P^D)}{N_D} +\frac{P^E(1-P^E)}{N_E} }

Standard deviation =  \sqrt{\frac{0.375(1-0.375)}{40} +\frac{0.1833(1 - 0.1833)}{60} }

Standard deviation = 0.0914

(c)

Normality condition:

np ≥ 10 and n(1-p) ≥ 10

Both the samples satisfy the normality condition.

(d)

The probability is obtained by calculating the z score,

z = \frac{(P^D-P^E)-(P^d-P^e)}{\sigma_{P^D - P^E}}

z = \frac{0.1917-0.1}{0.0914} = 1.0029

P(z > 1.0029) = 1 - P(z ≤ 1.0029)

The probability is obtained from the z distribution table,

P(Z > 1.0029) = 1 - 0.8420 = 0.1580

3 0
3 years ago
What is 2y + x (3y) = - 15
enot [183]

Answer:

x=\frac{-2y-15}{3y}

y=\frac{-15}{3x+2}

4 0
4 years ago
Help!!! What do a rectangle and a kite have in common?
mars1129 [50]
2 pairs of congruent sides
5 0
4 years ago
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