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creativ13 [48]
3 years ago
8

Select 3 side lengths that can form a right triangle.

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:

(16,63,65)

Step-by-step explanation:

Well, by trial and error, it turns out that 16²+63² = 65²

So the pythagorean triplet is (16,63,65)

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A company's old antacid formula provided relief for 70% of the people who used it. The company tests a new formula to see if it
klemol [59]

Answer:

B)

No, we can only say there is 27% chance of seeing the observed effectiveness from natural sampling variation. There is no evidence the new formula is more effective but we cannot conclude equal effectiveness.

Step-by-step explanation:

Hello!

The company compared the old antiacid formula against the new one. The claim is that the new formula is more effective.

The hypotheses are

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

Where the subfix 1 represents the new formula and the subfix 2 represents the old formula.

The statistical analysis threw a p-value of 0.27.

Remember if the p-value ≥ α, n the decision is to not reject the null hypothesis.

If p-value < α, the decision is to reject the null hypothesis.

Let's say α: 0.1 ⇒ you'd decide to not reject the null hypothesis.

Then there would not be enough evidence to say the new formula is better than the old one (μ₁ > μ₂) instead you'd conclude that the new formula is at most as effective as the old one (μ₁ ≤ μ₂). To know if it is equally effective as the old one or less effective a new test should be made.

In simple words, the p-value is the probability of obtaining the value of the statistic under the null hypothesis. In this case, there is a 27% of possibility of observing the effectiveness of the new antiacid formula from a sampling error than because the new antiacid formula is, in fact, effective.

I hope it helps!

6 0
4 years ago
The triangles are similar. Find x.A. 3.5B. 2.24C. 1.6D. 3.6
Lerok [7]

When two triangles are similar, then the ratios of their corresponding sides will be equal:

so 2.4/3 = 2.8/x = y/4.5

Use the ratio that involves the x and the two values that are given:

2.4/3 = 2.8/x

Then, solve the equation for x to find the missing side:

2.4/3 = 2.8/x

(2.4 / 3 ) x = 2.8

x = 2.8 / (2.4/3)

x = 3.5

The correct option is A.

5 0
1 year ago
Find the missing side of the parallelogram. keep answer in simplest form
alina1380 [7]

Area of parallelogram is Base×height

10×18=15× x

x= 12

hope it helps

8 0
2 years ago
Read 2 more answers
Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Norma-Jean [14]

Answer:

Therefore surface integral is \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Step-by-step explanation:

Given function is,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

To find,

\int\int_{S}\vec{F}dS  

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV  

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • If unit vector \cap{n} directed in positive (outward) direction then z=c and,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA      

=\int\int_{S_1}.dA=0

  • If unit vector \cap{n} directed in negative (inward) direction then z=-c and,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA      

=\int\int_{S_2}. -dA=0

Therefore surface integral without unit vector of the surface is,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

5 0
4 years ago
Which is true about constructing a bisector of the angle?
IgorLugansk [536]
When you bisect something you are cutting it in half. so in the image above when you cut it in half you would be forming 2 angles. Your answer is D. because when you cut in half you are going to have equal sides. Its like taking an 75 degrees and bisecting it and each of the new angles would be 37.5.
4 0
3 years ago
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