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3 years ago

24 is 4 times as great as k?

Mathematics

2 answers:

myrzilka [38]3 years ago

3 0

To find k take 24 and divide it by 4. So 24/4. Your answer is 6.

Answer: 6

Ray Of Light [21]3 years ago

3 0

Answer: k = 4

Step-by-step explanation:

If 24 is 4 times as great as k, then it means; 24 =4k

Divide bothside by 4

24/4 = 4k/4

6= k

k = 6

Therefore, the value of k is 6

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6 0

3 years ago

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Question 7

CaHeK987 [17]

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

6 0

3 years ago

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

6 0

3 years ago

Evaluate each using the values given please help me

yaroslaw [1]

Answer:

the first one should be -548

Step-by-step explanation:

plug in the values and you should get -30+7(-72-2).

4 0

2 years ago

Rui is a professional deep water free diver.

Arada [10]

Answer:

Rui will reach his lowest altitude after diving for 10 seconds

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where

h = $\frac{-b}{2a}$ and k = y at x = h

In the given question

∵ d(x) = $\frac{1}{2}$ x² - 10 x

∵ d represents his altitude in meters after x seconds

→ Compare it with the form above to find a and b

∴ a = $\frac{1}{2}$ and b = -10

∵ h = $\frac{-b}{2a}$

→ Substitute the values of a and b in the rule to find h

∴ h = $\frac{--10}{2.\frac{1}{2}}$ = 10

∴ h = 10

∵ h is the x-coordinate of the lowest point

∴ The time of the lowest altitude is 10 seconds

∴ Rui will reach his lowest altitude after diving for 10 seconds

5 0

2 years ago

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