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DochEvi [55]
2 years ago
10

10.15-10.16 with fractions

Mathematics
1 answer:
rewona [7]2 years ago
7 0
10.15-10.16=-.01, which is -1/100
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Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the
8_murik_8 [283]
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
6 0
2 years ago
Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo
AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

              ii) Then p=(2/3) as n=8

              iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.  

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

7 0
3 years ago
Mathematic 18 don’t understand
Dahasolnce [82]

Answer:

8 x 10¹³ is your answers hopes it's helpful to you

7 0
2 years ago
Use the digits 1,2,3 and 4 once each to get the largest answer possible
sukhopar [10]

Answer:

4,321

Step-by-step explanation:

This is the answer because:

1) We know that if the number has to be big therefore, we have to put 4 in the thousands place because 4 is bigger than 3, 2, and 1

2) Next, 3 is the other biggest number, for that reason 3 is in the hundreds place

3) Then, 2 is the other bigger number; therefore, the tens place is 2

4) Finally, the last number remaining is 1, which is in the ones place

Therefore, the answer is 4,321

Hope this helps!

8 0
3 years ago
One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n
maxonik [38]

Answer:

B.\ \frac{3m}{2n}

Step-by-step explanation:

Given

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq  0)

Required

Calculate one of the root of the equation

4mnx^2 - 6m^2x - 6n^2x + 9mn = 0

Factorize

2mx(2nx - 3m) -3n(2nx - 3m) = 0

(2mx - 3n)(2nx - 3m) = 0

Split equation

2mx - 3n = 0\ or\ 2nx - 3m = 0

Make x the subject of formula in both expressions

2mx = 3n\ or\ 2nx = 3m

x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}

<em>From the list of given options, one of the roots of the equation is</em> \frac{3m}{2n}

4 0
3 years ago
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