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3 years ago

Tori uses the greatest common factor and the distributive property to rewrite this sum:

Mathematics

2 answers:

vovikov84 [41]3 years ago

6 0

12(2+7)

12 is the GCF for 24 with 12 x2 =24 and 12 is the GCF for 84 with 12 x7= 84.

Misha Larkins [42]3 years ago

5 0

Answer:

Equation which Tori wrote is:

12(2 + 7)

Step-by-step explanation:

24=12×2

84=12×7

gcd(24,84)=12

Distributive property says that if a,b and c are three elements then,

a(b+c)=ab+ac

24+84=12×2+12×7

= 12(2+7)

Hence, equation which Tori wrote is:

12(2 + 7)

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1.5r – 3r + 8r + 2.5r

Svetllana [295]

Answer:

Step-by-step explanation:

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2 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

7 0

3 years ago

Mary Ann needs 3/7 cup of sugar to bake a cake she has 3/5 cup does she have enough to bake the cake yes or no

IrinaVladis [17]

Answer:

Mary Ann does have enough sugar

Step-by-step explanation:

3/5 is greater than 3/7 which means that she does have enough sugar. This is because the denominator 5 is smaller than the denominator 7, and since they have the same numerator, the fraction with the smaller denominator is greater.

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2 years ago

Read 2 more answers

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top

PtichkaEL [24]

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Sin α = opposite side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.

Replacing with the values given:

Sin 45 = x/ 13

Solving for x

sin45 (13) =x

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aivan3 [116]

Answer:

Step-by-step explanation:

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2 years ago