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Lemur [1.5K]
3 years ago
9

Arrange in order from least to greatest 6.1, the square root of 36, and 6 AND 1/2​

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

square root of 36, 6.1, 6 and 1/2

Step-by-step explanation:

square root of 36=6

6 1/2=6.5

6, 6.1, 6.5

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What is the solution to the inequality?<br> −6x+5&gt;−1
Bogdan [553]

Answer:

\boxed{x

Step-by-step explanation:

-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x

3 0
3 years ago
The volume of a sphere is 36 cubic inches. What is the radius of the sphere?
Serjik [45]

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

\sqrt[3]{27 \div \pi}

r= 2.048in

round off to 2.05in

<u>PROOF</u>

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= <u>2.05 inches</u>

8 0
3 years ago
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1: V2. What is tan 45°?
Artyom0805 [142]

Answer:

B. 1/2

Step-by-step explanation:

divide/

3 0
3 years ago
Tamara has two sisters. one of the sisters is 7 years older than Tamara. The other sister is 3 years younger than Tamara. the pr
fenix001 [56]

Answer:

5

Step-by-step explanation:

24=x+(x-3)+(x+7)

7 0
3 years ago
Read 2 more answers
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
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