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sladkih [1.3K]
3 years ago
11

The solution of [5x(4+6)-9]

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

41

Step-by-step explanation:

BIDMAS

[5 x (4 + 6) - 9]

Brackets first

4 + 6 = 10

[5 x (10) - 9]

Multiply next

5 x 10 = 50

Subtract last

50 - 9 = 41

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The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
Plz help with math and show your work
Inga [223]
26.   2x^2 +4x -10 = 0       (-4 + - (root(4^2 - 4*2*-10)))/2*2   =  
(-4 + - (root(96)))/4
(-4 + (root(96)))/4  ≈  1.45
(-4 -  (root(96)))/4  ≈  -3.45

27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore   x -2 = 0    x +3 = 0    x -5 = 0   so   f(x) = 0 when x = 2, -3 or 5 


28. It looks like it shows you how to do it
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120 is the other number. 
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Answer:

Students should be able to find the x-intercepts of a quadratic function using both factoring and completing the square. All that should be given to students is the standard form of a quadratic equation in the form y = ax^2 + bx + c.

Step-by-step explanation:

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