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3 years ago

Need help on this kinda confused

Mathematics

1 answer:

stiv31 [10]3 years ago

8 0

Answer:

angle 1= 76 degrees

angle 2= 61 degrees

Step-by-step explanation:

if you draw a line down the middle of the trapezoid and think of the two halves as parallel lines cut by a transversal, your angle are alternate interior, which makes them equal to each other or congruent. another way to find the measure is by finding the supplement to your angle that are already labeled.

just subtract 76 and 119 from 180 to find the supplements, which are 104 and 61, respectively. now that you have two angles labeled inside the trapezoid, you can use your quadrilateral rules to find the other ones. the rule in this case is "consecutive angles equal 180." so, the angle right below to angle R (119 degrees) is angle 2. using subtraction rule, 180-119= 61.

repeat for angle Q to find the measure of angle 1, 180-104= 76.

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A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.

son4ous [18]

Answer:

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.325$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17$

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

3 0

3 years ago

What is 2(10x+3)+2(4c)

lora16 [44]

Your answer is 140
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5 0

3 years ago

Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and the other travels east at 3 m

Dafna1 [17]

Answer:

20 miles (Answer B)

Step-by-step explanation:

The northbound biker travels (4 mph)(4 hr) = 16 mi, and

the eastbound biker travels (3 mph)(4 hr) = 12 mi.

They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.

Answer B is correct.

8 0

3 years ago

Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t

sladkih [1.3K]

Answer:

$A_L=1.75$

Step-by-step explanation:

We are given:

$f(x)=x^2$

$interval = [a,b] = [0,2]$

Since $n = 4$ ⇒ $\Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}$

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

$A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75$

Note:

If it will be asked to find right endpoint too,

$A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75$

The average of left and right endpoint Riemann sums will give approximate result of the area under $f(x)=x^2$ and it can be compared with the result of integral of the same function in the interval given.

So, $(A_R+A_L)/2 = (1.75+3.75)/2=2.25$

$\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67$

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0

3 years ago

Help fast pls!!!!!

AleksandrR [38]

Answer:

Step-by-step explanation:

length of rectangle = circumference of circle = πd = 6π cm

area of rectangle = 2×6π = 12π cm

area of one circle = πr² = 9π cm²

surface area = 12π + 2(9π) = 30π ≅ 90 cm²

7 0

3 years ago