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emmainna [20.7K]
3 years ago
13

Convert − 6 7to a decimal. Go out 3 decimal places and round as appropriate.

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

-0.85714285714

Rounded answer:

-0.86

Step-by-step explanation:

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Chose all the properties that were used to simplify the following problem
timofeeve [1]

(a+b) + c = a + (b + c)

re-arrange the numbers - associative property of addition

Answer

Associative property of addition

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0
3 years ago
Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

7 0
3 years ago
In a survey of 3,200 people who owned a certain type of​ car, 960 said they would buy that type of car again. What percent of th
pshichka [43]

Answer: let

Total number of those who took part in the survey (T)=3200

Those who were satisfied (t)=960

Percentage of those who were satisfied (S)=(t/T)*100

S=(960/3200)*100

S=30%

Therefore only 30% were satisfied

Step-by-step explanation:

8 0
3 years ago
Write the expression in exponential form logb c=a
alexgriva [62]

Answer:c=b^a

Step-by-step explanation:

Logb c=a

In exponential form

c=b^a

4 0
4 years ago
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