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3 years ago

Find the midpoint of the line segment with the given endpoints. (-1,0), (-3,-4)

Mathematics

2 answers:

larisa86 [58]3 years ago

5 0

No can’t u just search it up I feel like you’ll get the answer to this question in to time

Gre4nikov [31]3 years ago

5 0

Answer:

(-2,-2)

Step by step:

(-1,0) (-3,-4)

(xa,ya)(xa,yb)

$\frac{ x ^{a} + {x}^{b} }{2} . \frac{y ^{a} + y^{b} }{2} \\ = \frac{ - 1 + - 3}{2} . \frac{0 + - 4}{2} \\ = \frac{ - 4}{2} \frac{ - 4}{2}$

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Compute the lower Riemann sum for the given function f(x)=x2 over the interval x∈[−1,1] with respect to the partition P=[−1,− 1

Nata [24]

Answer:

21/64

Step-by-step explanation:

First, we need to note that the function f(x) = x² is increasing on (0, +∞), and it is decreasing on (-∞,0)

The first interval generated by the partition is [-1, -1/2], since f is decreasing for negative values, we have that f takes its minimum values at the right extreme of the interval, hence -1/2.

The second interval is [-1/2, 1/2]. Here f takes its minimum value at 0, because f(0) = 0, and f is positive otherwise.

Since f is increasing for positive values of x, then, on the remaining 2 intervals, f takes its minimum value at their respective left extremes, in other words, 1/2 and 3/4 respectively.

We obtain the lower Riemman sum by multiplying this values evaluated in f by the lenght of their respective intervals and summing the results, thus

LP(f) = f(-1/2) * ((-1/2) - (-1)) + f(0) * (1/2 - (-1/2)) + f(1/2)* (3/4 - 1/2) + f(3/4) * (1- 3/4)

= 1/4 * 1/2 + 0 * 1 + 1/4 * 1/4 + 9/16 * 1/4 = 1/8 + 0 + 1/16 + 9/64 = 21/64

As a result, the lower Riemann sum on the partition P is 21/64

3 0

3 years ago

The price of an item has been reduced by $8.39 . The new sale price is $51.23. What was the original price?

Karolina [17]

Answer:59.62

Step-by-step explanation:

0riginal price=selling price+discount

=51.23+8.39

=59.62

6 0

3 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

alexira [117]

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = $\frac{-k\pm\sqrt{k^2-4hc}}{2h}$

= $\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}$

= $\frac{-9\pm\sqrt{81-336}}{2(12)}$

= $\frac{-9\pm\sqrt{-255}}{24}$

= $\frac{-9\pm i\sqrt{255}}{24}$

a = $\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}$

Therefore, Option B will be the correct option.

3 0

3 years ago

Previously 5% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of

mr Goodwill [35]

Answer:

p value = 0.03514

Step-by-step explanation:

Hypotheses would be

$H_0: p = 0.05\\H_a: p$

(left tailed test at 10% level of significance)

Here p stands for the sample proportion of mothers smoked more than 21 cigarettes during their pregnancy.

Sample size =130

persons who smoked = 2

Sample proportion = $\frac{2}{130} \\=0.0154$

Assuming H0 to be true

Std error= $\sqrt{0.05*0.95/130} \\=0.01911$

p difference = -0.0346

Test statistic z=-1.81

p value = 0.03514

Since p is less than 0.10, significance level, we reject H0

4 0

3 years ago

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped

nasty-shy [4]

The probability that 2 out of 10 randomly selected shipments would be late is 0.19.

<h2>Given </h2>

A shipping company claims that 90% of its packages are delivered on time.

Jenny noticed that out of the last 10 packages shipped, 2 were late.

<h2>What is probability?</h2>

The probability of success and failure remain the same throughout the trials.

The probability that 2 out of 10 randomly selected shipments would be late is given by;

$\rm =^{10}C_2 \times (\dfrac{2}{10})^2 \times (0.8)^8\\\\=45 \times 0.04\times 0.16\\\\ = 0.19$

Hence, the probability that 2 out of 10 randomly selected shipments would be late is 0.19.

To know more about Probability click the link given below.

brainly.com/question/5053059

3 0

2 years ago