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otez555 [7]
3 years ago
5

Find to integers which sum to 11 and product is 24

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

3 and 8

3+8=11

3×8=24

Step-by-step explanation:

Just a cheerful teen willing to help,

hope this helps...

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Consider the hypothesis test below.
Pavel [41]

Answer:

Z_{H0} =1.79

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

Z=<u>     (^ρ₁-^ρ₂)-(ρ₁-ρ₂)     </u>   ≈N(0;1)

   √ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>

                   

Z=<u>                    (0.28-0.15)-0                    </u>= 1.79

   √ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

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8 0
3 years ago
Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

8 0
3 years ago
A culture started with 5,000 bacteria. After 2 hours, it grew to 5,500 bacteria. Predict how many bacteria will be present after
Luden [163]

Answer:

8,056

Step-by-step explanation:

I took the application

8 0
2 years ago
What are the solutions to the quadratic equation 5x2 + 60x = 0?
Reptile [31]

Answer:

It's A.

Step-by-step explanation:

5x2 + 60x = 0

5x is the GCF so:

5x(x + 12 ) = 0

5x = 0, x + 12 = 0

x =0, x = -12.

6 0
3 years ago
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Which is the graph of f(x) = -(x + 3)(x + 1)?
Furkat [3]

Answer:

It's the second option

Step-by-step explanation:

Graph for -(x+3)(x+1)

4 0
3 years ago
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