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pishuonlain [190]

4 years ago

11

Solve for b2: A=1/2h(b1+b2)

1 answer:

balandron [24]4 years ago

5 0

Answer:

Step-by-step explanation:

$A = \frac{1}{2}h(b_{1} + b_{2})$

First let's multiply both sides by 2 to remove the $\frac{1}{2}$ fraction:

$2A = h(b_{1} + b_{2})$

Next, let's divide both sides by $h$ :

$\frac{2A}{h} = b_{1} + b_{2}$

Finally, let's subtract $b_{1}$ from both sides:

$b_{2} = \frac{2A}{h} - b_{1}$

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A professor thinks that the students in her statistics class this term are less creative than most students at this university.

choli [55]

Answer:

It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.

Step-by-step explanation:

$\mu=35\\n=23\\\=x=33\\s=5\\\alpha=0.1$

1. Null and alternative hypothesis

$H_{0}:\mu=35\\H_{1}:\mu$

2. Significance level

$\alpha=0.1\\1-\alpha=0.99$

Freedom degrees is given by:

$v=n-1\\v=23-1=22$

For a sgnificance level of 0,01 and 22 freedom degrees, t-student distribution value is:

$t_{0.01;23}=-2. 5083$

3. Test statistic

$t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }$

$t=\frac{33-35}{\frac{5}{\sqrt{23} } }$

$t=-1,918$

In this case, we have an one left tailed analysis, it means that null hypothesis is rejected if $t$

$-1.918>-2.5083$

Conclusion:

It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.

3 0

3 years ago

88) 4 times a number decreased by 8 equals 40<br> A) x=80 B) x = 40 C) x=8<br> D) x = 12

dimulka [17.4K]

D=12
Because if you write down the equation 4x-8=40 and plug in 12. 4 times 12 is 48
. 48-8 equals 40

6 0

3 years ago

HELLLLLLLLLLLLLLLLLLLP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

lubasha [3.4K]

Look at the picture.

Angle a:
Vertical angles are equal

Angle b:
(ΔABC). In a triangle, the three interior angles always add to 180°

Angle c:
<span>Angles on one side of a straight line will always add to 180 degrees. </span>

3 0

4 years ago

The length of a rectangle is 1.2 × 10-4 kilometer. the width of the rectangle is 6.25 × 10-5 kilometer.what is the area in squar

Serhud [2]

We have 1.2 × 10^(-4) x 6.25 × 10^(-5 ) = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.

3 0

3 years ago

Aloiza [94]

Answer:

$4 \sin( \frac{2}{7}x ) + 1$

Step-by-step explanation:

Let use the basic function of sin first.

Since the midline is 1 and the max point is 5, the amplitude is 4.

The midline is 1 since the midline is at 0,1.

Since we know the distance of the max and midline x values

We can multiply that by 4 to find our period.

$\frac{7\pi}{4} \times 4 = 7\pi$

Use the equation 2pi/b to find the b we would use in our equation.

$\frac{2\pi}{b} = 7\pi$

The answer is

$\frac{2}{7}$

so our equation is

$4 \sin( \frac{2}{7}x ) + 1$

3 0

3 years ago