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3 years ago

Solve the equation for x. 3x + 11 – X + 23 = 4

Mathematics

1 answer:

avanturin [10]3 years ago

5 0

Answer:

x = -15

Step-by-step explanation:

3×+34-×=4

2×+34=4

2×+34-34=4-34

2×=4-34

2×= -30

2×/2=-30/2

×= -15

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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib

fenix001 [56]

Answer: 0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = $\mu=50\times190=9500\text{ pounds}$

Standard deviation of 50 people $=\sigma=40\sqrt{50}=40(7.07106781187)=282.84$

Then , the probability its maximum safe load will be exceeded =

$P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855$

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0

3 years ago

What is the price of a $35 taxi ride plus 15% tip

Sveta_85 [38]

If there only one person then the total would be $40.25

7 0

2 years ago

The log of x cubed times y squared simplified

tresset_1 [31]

Answer:

$log(x^{3}y^{2}) = 3 log x+2 log y$

Step-by-step explanation:

Step 1:-

using logarithmic formula $log(ab)=log a+log b$

so given $log(x^{3} y^{2} ) = log (x^{3} )+log(y^{2} )$

now simplify

= $3 log x+2 log y$

Answer:-

$log(x^{3}y^{2})= [tex]3 log x+2 log y$

4 0

3 years ago

A paddle boat can move at a speed of 2 km/h in still water. The boat is paddled 16 km downstream in a river in the same time it

MaRussiya [10]

going downstream -

t = 14/(2 + v)

going upstream -

t = 7/(2 - v)

14/(2 + v) = 7/(2 - v)

(2 + v)/2 = 2 - v

v = 2/3km/h

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3 years ago

What is the place the 8 is in in the number 38,341,097.54

Sophie [7]

It’s in the Millions place

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3 years ago