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3 years ago

HeLp with math pls!!!!

Mathematics

1 answer:

natulia [17]3 years ago

4 0

Hi,

Work:

Equation;

$( {2}^{4} )^{2} = {2}^{n}$

Write an expression in the exponential form with a base of 2.

${2}^{8} = {2}^{n}$

Since bases are the same, set the exponents equal.

$8 = n$

Switch the sides (RESULT)

$n = 8$

Hope this helps.
r3t40

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Which statement correctly describes

ella [17]

The answer would be C. 0.92 divided by 10% is 0.00092 which means the decimal would move three places to the left.

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4 years ago

Solve the algebraic expressions y+4 if y =3.6

SVETLANKA909090 [29]

Y+4
plug in 3.6 for y
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8 0

4 years ago

Read 2 more answers

Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags.

taurus [48]

Question:

Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.

a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.

b. Calculate the sample statistic xM - xE

c. Calculate a t-test statistic, using the given estimate of SE.

d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?

e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.

f. State the conclusion of the test in context, using nontechnical language.

Answer:

See explanation below

Step-by-step explanation:

a) The null and alternative hypotheses are:

H0 : uM - uE = 0

H1 : uM - uE > 0

b) Calculating the sample statistic,

xM-xE, we have:

Given xM = 12.70 days

xE = 11.60 days

xM - xE = 12.70 - 11.60 = 1.10 days

Therefore sample statistic = 1.10

c) Calculating the test statistic, using the given estimate of SE, we have:

Given standard error, SE = 0.283

$\frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89$

Therefore, t test = 3.89

d) The correct degrees of freedom.

We have:

$Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)$

df = 343

e) p-value:

Pvalue = P(Z > 3.89) = 0.00000602

Since p value is less than significance level of 0.05, we reject null hypothesis H0.

f) Conclusion:

There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.

7 0

3 years ago

A runner covers the last stretch of a race in 4 seconds, during that time he speeds up from 5 m/s to 9 m/s what is the runners a

patriot [66]

Answer:

1m/s^2

Step-by-step explanation:

the formula for acceleration is change in velocity divided by time

the change in velocity is 4m/s (subtract 5 from 9)

the change in time is 4 seconds

so 4m/s ÷ 4s

this gives you 1m/s^2

6 0

3 years ago

Plz help me with all of this :(

gizmo_the_mogwai [7]

4. <

5. <

6. >

7. =

8. <

9. <

10. >

11. >

12. =

13. Well after I checked it over and over again, the accurate answer is actually 6 o'clock. That's the only number on a clock that's the only one that's opposite each other.

HOPE THIS HELPS!

HAVE A GR8 DAY ;-)

6 0

3 years ago