Answer: 11,600
Step-by-step explanation: 10³ = 10 x 10 x 10 = 1,000.
1,000 x 6.4 = 6,400.
1,000 x 5.2 = 5,200.
6,400 + 5,200 = 11,600
Answer:
2 RootIndex 4 StartRoot 4 EndRoot
Step-by-step explanation:
we have
Decompose the number 64 in prime factors
substitute
![64^{\frac{1}{4}}=(2^{4}2^{2})^{\frac{1}{4}}=2^{\frac{4}{4}}2^{\frac{2}{4}}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%282%5E%7B4%7D2%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D2%5E%7B%5Cfrac%7B4%7D%7B4%7D%7D2%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
(-3,7)
5(-3)+2(7)=-1
-15+14=-1
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
Answer:
49.865%
Step-by-step explanation:
Given that:
μ = 4 ; σ = 1
For x = 4
P(x < 4) :
Z score (x - μ) / σ
P(x < 7) - P(x < 4)
((7 - 4) / 1) - ((4 - 4) / 1)
P(Z < 3) - P(Z < 0)
Usibg the Z probability calculator :
0.99865 - 0.5
= 0.49865
= 0.49865 * 100
= 49.865%
