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Irina-Kira [14]
2 years ago
13

Justin travels at 70 km/h on his motorcycle. If the speed limit is 50 mi./hr., is he speeding? Why or why not?

Mathematics
2 answers:
stellarik [79]2 years ago
8 0
He is not speeding at all
balu736 [363]2 years ago
6 0

Answer:

Justin is <em>not </em>speeding because there is 1.609 km in a mile. So if you compare it to 70 km/h to 50 mi/h it would 70 km and 43.50 miles per hour. So like I said, no he is not because he is going below 50 mi/h.

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7 - 3x = 3 ( 3- x ) - 2<br><br> Please help &amp; show how you got to the answer
Leokris [45]
Step 1: Simplify both sides of the equation.
7−3x=3(3−x)−2
7+−3x=(3)(3)+(3)(−x)+−2(Distribute)
7+−3x=9+−3x+−2
−3x+7=(−3x)+(9+−2)(Combine Like Terms)
−3x+7=−3x+7
−3x+7=−3x+7
Step 2: Add 3x to both sides.
−3x+7+3x=−3x+7+3x
7=7
Step 3: Subtract 7 from both sides.
7−7=7−7
0=0
So all real numbers
8 0
3 years ago
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The data in the tables below were collected from first year students at a community college. The variable is "number of credit c
Oliga [24]

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. $P(x) \geq 0$

2. $\sum_z P(x) = 1$

Now consider,

$\sum_z P(x) = 1$

⇒ $P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$

⇒ $0.61+T+0.14+0.01+0.01+0.03=1$

⇒ $0.8+T=1$

⇒ $T=1-0.8$

       = 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

7 0
2 years ago
Solve the inequality 5z+8≥-7
kirza4 [7]

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

 

4 Simplify 15/5 to 3

z≥−3

3 0
3 years ago
I need help with my homework can anyone help me please?
alisha [4.7K]

Answer:

For 14 from left to right should be 11 10 10 9 8 6. For 15 is wrong because 4 people jumped 3 feet and 3 people jumped 4 feet

7 0
3 years ago
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Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
2 years ago
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