All categories

2 years ago

Work out ( 8x10 -3) x(2x10 -4) standard form

Mathematics

1 answer:

zheka24 [161]2 years ago

4 0

Answer: 1232

Step-by-step explanation: ( 8x10 -3) x(2x10 -4)

( 8x10 -3) = 77

(2x10 -4) = 16

77 x 16 = 1232

Answer = 1232

You might be interested in

A nick on the edge of a CD rotates to (−6, 5) during one song when represented graphically.

Allisa [31]

By definition, the sine of an angle is given by:
$sin \alpha = \frac{C.O}{h}$
Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:
$h = \sqrt{(-6)^2+(5)^2}$
$h = \sqrt{(61}$
So, replacing values we have:
$sin \alpha = \frac{5}{\sqrt{61}}$
Rewriting we have:
$sin \alpha = \frac{5\sqrt{61}}{61}$
Answer:
the sine value of this function is:
A)5 times square root 61 over 61

6 0

2 years ago

Read 2 more answers

3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa

Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 15000, p = 0.09$

$\mu = E(X) = np = 15000*0.09 = 1350$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05$

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1499 - 1350}{35.05}$

$Z = 4.25$

$Z = 4.25$ has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0

2 years ago

Parallel Processing uses two or more computers, working together, to solving a problem. You connect two different computers; com

MrRissso [65]

Answer:

together rate = 1/20 min/job

one comp. rate = 1/(x-9) min/job

2nd comp. rate = 1/x min/job

-------------------------------

Equation:

rate + rate = together rate

1/x + 1/(x-9) = 1/20

---

20(x-9) + 20x = x(x-9)

40x-9*20 = x^2-9x

---

x^2-49x + 180 = 0

Factor:

(x-45)(x-4) = 0

Realistic solution since 4-9 is negative:

x = 45 minutes

then

x-9 = 36 minutes (faster computer time to do the job)

Step-by-step explanation:

8 0

2 years ago

Isosceles △ABC (AC=BC) is inscribed in the circle k(O). Prove that the tangent to the circle at point C is parallel to AB .

timofeeve [1]

Explanation:

Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

5 0

2 years ago

Which value of x is in the solution set of 2x-3>11-5x

Ierofanga [76]

7x>14,x=2። is right answer i think

3 0

2 years ago

Read 3 more answers