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2 years ago

9

Consider the function f(x) = x3 + 34 over the interval [–3, 4]. According to the extreme value theorem, the function has a minim

um value of
and a maximum value of
.

2 answers:

nata0808 [166]2 years ago

7 0

Answer:

7, 98

Step-by-step explanation:

edg 21 ^u^

Aleksandr-060686 [28]2 years ago

3 0

The answer for this question is:

7, 98

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In a certain country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th

-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

$P(x)=^nC_x(p)^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

The probability that all babies are girl or there is no baby boy,

$P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}$

$=0.00499125661758$

Hence, the probability that at least one of them is a boy = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0

3 years ago

In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be appro

klasskru [66]

This is a good question!

The steps are like follows:

Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01

Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995

z-score could be calculated from p*,,,
z-score=<span>2.57583
(http://www.socscistatistics.com/tests/ztest/zscorecalculator.aspx)

Now, calculate the Margin of Error:
</span>standard<span> deviation = s
number of adults = n
</span><span>
ME=(z*s)/(sqrt n)=(</span><span>2.57583*12)/(sqrt 250) = 1.955

The confidence interval = mean +or- ME
= 70+1.955</span> or 70-1.955

So that we can conclude that <span>the 99% confidence interval for the mean beats per minute is 68.045 and 71.955

</span>

I hope you got the idea!

If you still need help, just let me know!

4 0

3 years ago

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acc

alexdok [17]

The equation is:
h ( t ) = - 16 t² + 60 t + 3
The toy rocket will reach the ground when: h ( t ) = 0
- 16 t² + 60 t + 3 = 0
$t _{12} = \frac{-60+/- \sqrt{3600+192} }{-32}$
t 1 = - 0.05
t 2 = 3.8
Answer:
C ) 3.80 s

3 0

3 years ago

WILL GIVE BRAINLIEST, NO LINKS<br><br> find the surface area.

natka813 [3]

Answer: B

Step-by-step explanation: Hope this help :D

8 0

3 years ago

Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hou

julia-pushkina [17]

The cars travel with constant speed, and the equations of movement of each one are,

$x_1=v_1t$

$x_2=x_0-v_2t$

Where v_1=16 Km/h, v_2 is unknown, x_0 is 300 kilomters. As they meet in 2 hours, then t=2 and x_1=x_2, so,

$x=v_1t$

$x=x_0-v_2t$

Solving for v_2,

$v_2=x_0/t-v_1=134\ \ Km/h$

6 0

3 years ago