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blondinia [14]
2 years ago
15

X^{2} +(3a+4b)x+(2a^{2} +5ab+3b^{2} )

Mathematics
1 answer:
kupik [55]2 years ago
4 0

Answer:

∣x+a+b∣∣x+2a+3b∣

Step-by-step explanation:

∣x+a+b∣∣x+2a+3b∣

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Suppose a triangle has two sides of length 2 and 3 and hat angle between these two sides is 60. what is the length of the third
Gemiola [76]
X=180-2(60)
=180-120
=40
The length of the other angle is 40°.

7 0
3 years ago
Please help me how to figure this out I’m trying to figure out the area ASAP please
Natasha2012 [34]

Answer:

1230.88m^{2}

Step-by-step explanation:

Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.

The area for a whole circle is 2\pi r^{2}.

Using that information, we can find the area as if the circle was whole instead of just the fourth.

2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

4923.52m^{2}  / 4 = 1230.88m^{2}

That means that the area of the shape shown is 1230.88m^{2}.

I hope this helps!

4 0
3 years ago
How many antinodes are in the standing wave pattern shown? 1. 2 2. 4 3. 3 4. 7 5. 5 6. 6?
Sphinxa [80]

There's 6 antinodes here.

4 0
3 years ago
Find the p-value: An independent random sample is selected from an approximately normal population with an unknown standard devi
vladimir1956 [14]

Answer:

(a) <em>p</em>-value = 0.043. Null hypothesis is rejected.

(b) <em>p</em>-value = 0.001. Null hypothesis is rejected.

(c) <em>p</em>-value = 0.444. Null hypothesis is not rejected.

(d) <em>p</em>-value = 0.022. Null hypothesis is rejected.

Step-by-step explanation:

To test for the significance of the population mean from a Normal population with unknown population standard deviation a <em>t</em>-test for single mean is used.

The significance level for the test is <em>α</em> = 0.05.

The decision rule is:

If the <em>p - </em>value is less than the significance level then the null hypothesis will be rejected. And if the <em>p</em>-value is more than the value of <em>α</em> then the null hypothesis will not be rejected.

(a)

The alternate hypothesis is:

<em>Hₐ</em>: <em>μ</em> > <em>μ₀</em>

The sample size is, <em>n</em> = 11.

The test statistic value is, <em>t</em> = 1.91 ≈ 1.90.

The degrees of freedom is, (<em>n</em> - 1) = 11 - 1 = 10.

Use a <em>t</em>-table t compute the <em>p</em>-value.

For the test statistic value of 1.90 and degrees of freedom 10 the <em>p</em>-value is:

The <em>p</em>-value is:

P (t₁₀ > 1.91) = 0.043.

The <em>p</em>-value = 0.043 < <em>α</em> = 0.05.

The null hypothesis is rejected at 5% level of significance.

(b)

The alternate hypothesis is:

<em>Hₐ</em>: <em>μ</em> < <em>μ₀</em>

The sample size is, <em>n</em> = 17.

The test statistic value is, <em>t</em> = -3.45 ≈ 3.50.

The degrees of freedom is, (<em>n</em> - 1) = 17 - 1 = 16.

Use a <em>t</em>-table t compute the <em>p</em>-value.

For the test statistic value of -3.50 and degrees of freedom 16 the <em>p</em>-value is:

The <em>p</em>-value is:

P (t₁₆ < -3.50) = P (t₁₆ > 3.50) = 0.001.

The <em>p</em>-value = 0.001 < <em>α</em> = 0.05.

The null hypothesis is rejected at 5% level of significance.

(c)

The alternate hypothesis is:

<em>Hₐ</em>: <em>μ</em> ≠ <em>μ₀</em>

The sample size is, <em>n</em> = 7.

The test statistic value is, <em>t</em> = 0.83 ≈ 0.82.

The degrees of freedom is, (<em>n</em> - 1) = 7 - 1 = 6.

Use a <em>t</em>-table t compute the <em>p</em>-value.

For the test statistic value of 0.82 and degrees of freedom 6 the <em>p</em>-value is:

The <em>p</em>-value is:

P (t₆ < -0.82) + P (t₆ > 0.82) = 2 P (t₆ > 0.82) = 0.444.

The <em>p</em>-value = 0.444 > <em>α</em> = 0.05.

The null hypothesis is not rejected at 5% level of significance.

(d)

The alternate hypothesis is:

<em>Hₐ</em>: <em>μ</em> > <em>μ₀</em>

The sample size is, <em>n</em> = 28.

The test statistic value is, <em>t</em> = 2.13 ≈ 2.12.

The degrees of freedom is, (<em>n</em> - 1) = 28 - 1 = 27.

Use a <em>t</em>-table t compute the <em>p</em>-value.

For the test statistic value of 0.82 and degrees of freedom 6 the <em>p</em>-value is:

The <em>p</em>-value is:

P (t₂₇ > 2.12) = 0.022.

The <em>p</em>-value = 0.444 > <em>α</em> = 0.05.

The null hypothesis is rejected at 5% level of significance.

5 0
3 years ago
Seth bought a 12 - ounce jar of peanut butter for $3.60. What is the unit price?
allochka39001 [22]

Since the jar is 12 ounces, we want to find the price when it is one ounce. We do this by dividing the price, $3.60, by 12:

3.60/12 = 0.3

So, the answer is $0.30/oz, or (B).

4 0
3 years ago
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