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3 years ago

Correct answer gets Brainliest! Solve for x.

Mathematics

2 answers:

Simora [160]3 years ago

4 0

Subtract 13 from both sides:

$-7-13 \geq -5x$

$-20 \geq -5x$

Divide both sides by -5. Since this is a negative number, you have to invert the inequality sign:

$4 \leq x$

Which means

$x \geq 4$

Butoxors [25]3 years ago

3 0

Hi Valblessed,

Solve:

−7 ≥ 13 − 5x

−7 ≥ −5x + 13

−5x + 13 ≤ − 7

−5x + 13 − 13 ≤ − 7 − 13

−5x ≤ − 20

−5x/−5 ≤ −20/−5

x ≥ 4

Answer:

x ≥ 4

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Help please!! Which are factor pairs of 3580? (Hint: Look at the first factor in each pair and use divisibility rules.) Select a

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Answer:

2×1790

5×716

4×895

10×358

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3 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Eva8 [605]

Answer:

Step-by-step explanation:

As per Newton law of cooling we have temperature of a cooling object at time t is given by

T(t) = $T_s + (T_0-T_s) e^{-kt}$

where $T_s = 76: T_0 = 200$

When t=2.5, we have

$T(2.5) = 76+(100-76)e^{-2.5k} =180\\e^{-2.5k} =\frac{104}{24} =4.333\\k=\frac{ln4.333}{-2.5} =-0.5865$

Hence equation is

$T(t) = 76+24e^{-0.5865t}$

Using this we find that

$130=76+24e^{-0.5862t} \\e^{-0.5862t}=54\\t=1.59559$

i.e. At 1.6 seconds the coffee will reach a temperature of 130 degrees

3 0

3 years ago

This is a mathematical sentence written with a greater than, a less than sign, or a NOT equal to sign.

aalyn [17]

A mathematical sentence and or equation written with either of the signs, the greater than, less than, sign, and not that of an equal to sign would be that of an Inequality. Certain inequalities contain either or sign, but not that of an equal to sign.

7 0

3 years ago

Read 2 more answers

At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the n

wolverine [178]

Answer:

(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2) The shop owner has no reasonable chance to expect earning a profit more than $300.

(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

Step-by-step explanation:

Let X = number of cups of coffee sold and Y = number of donuts sold.

The random variable X follows a Normal distribution with parameters μ = 320 and σ = 20.

The random variable Y follows a Normal distribution with parameters μ = 150 and σ = 12.

The shop owner opens the shop 6 days a week.

(1)

Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:

$P(X>2000)=P(\frac{X-\mu}{\sigma}>\frac{2000-(6\times320)}{6\times20})\\=P(Z>0.67)\\=1-P(Z$

Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.

(2)

The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:

P = 0.5X + 0.4Y

Compute the probability that the shop owner earns more than $300 as profit as follows:

$P(Profit>300)=P(\frac{Profit-\mu}{\sigma}>\frac{300-((0.5\times320)+(0.4\times150))}{\sqrt{0.5^{2}(20)^{2}+0.4^{2}(12)^{2}}})\\=P(Z>7.21)\\\approx0$

The probability of earning a profit more then $300 is approximately 0.

Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.

(3)

The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:

Y > 0.5X

Y - 0.5X > 0

Compute the probability of the event (Y - 0.5X > 0) as follows:

$P(Y - 0.5X > 0)=P(\frac{(Y - 0.5X) -\mu}{\sigma}>\frac{0-(150-(0.5\times320}{\sqrt{12^{2}+0.5^{2}20^{2}}})\\=P(Z>0.64)\\=1-P(Z$

Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.

8 0

3 years ago

What is the principal square root of 16? A -4 B 4 С 1/4 D -1/4

NISA [10]

Answer:

Step-by-step explanation:

The principal square root is the positive square root

sqrt(16) = ±4

taking the positive square root

8 0

4 years ago

Read 2 more answers