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NeX [460]
1 year ago
11

A 52 foot building casts a shadow that is 48 feet long, At the same time the shadow cast by a nearby statue 18 feet long .

Mathematics
1 answer:
8_murik_8 [283]1 year ago
8 0

Answer: 14 feet

Step-by-step explanation: the difference between the shadow of the building and the building is 4 feet so the difference between the shadow of the statue and the statue is 4 feet so the answer is 14 feet.

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In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a
sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

     p₂ be the sample of the second shift

     p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

   = 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0
3 years ago
Celeste uses 24 inches of ribbon from a spool that holds 36 inches of ribbon. Which shows equivalent representations for the par
never [62]
Your simplified answer is indeed 2/3 (or 60%, or 0.6) because the fraction 24/36 can be simplified by dividing both the numerator and denominator by 6, which leaves you with 2/3.
3 0
3 years ago
Please help me with both! would really appreciate it
Tamiku [17]
Jus look and the answer above
7 0
3 years ago
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x
meriva

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

  • l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

  • (dx/dt) = 19 ft/s
  • (dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

brainly.com/question/12559989

4 0
2 years ago
What sum would yield an interest of 36$ in 3 years at 3%p.a.
Alekssandra [29.7K]
Amount of Interest = $36
Rate of interest = 3% per annum
Total time period for which the money was invested = 3 years
Let us assume the Principal amount = x
Then
Interest = Principal * Rate of Interest * time
36 = x * 3% * 3
36 = 9x/100
36 * 100 = 9x
3600 = 9x
x = 3600/9
   = 400
So the initial sum of the money that was invested was $400.
7 0
3 years ago
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