Pls help me simplify

Find the circumference of a circle with each 18.2cm diameter

e-lub [12.9K]

Answer:

22/7×18.2

=400.4/7

=57.2cm

6 0

3 years ago

If a child's knowledge of the alphabet is limited to the letters a, b, c, i, and e, and if the child writes two letters at rando

DiKsa [7]

Answer:

$\frac{6}{25}$

Step-by-step explanation:

In probability

"AND" means "MULTIPLICATION"
"OR" means "ADDITION"

Here, we want P(vowel) "AND" P(consonant). So we find individual probabilities and "MULTIPLY" them.

Firstly, P(vowel):

From the letters a,b,c,i,e ------ we know 2 are vowel and 3 are consonants (total 5)

Hence, P(vowel) = 2/5

Second, P(consonant):

There are 3 consonants, hence

P(consonant) = 3/5

Now, we multiply:

P(vowel and consonant) = P(vowel) * P(consonant) = 2/5 * 3/5 = 6/25

The probability that one is vowel and the other is a consonant = $\frac{6}{25}$

4 0

3 years ago

Read 2 more answers

Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs

BartSMP [9]

Answer:

$30+15x\geq 90$

Step-by-step explanation:

Deepak charges for each Job = $30

An additional charges for working each hour = $15

Let x be the number of hours he worked for each job.

So,additional charges for working x hours = 15 x

So,he earns in total at each job = $30+15x$

We are also given that He only accepts jobs if he will earn at least $90 the job.

This means he must earn $90 or more than that .

So, the inequality becomes:

$30+15x\geq 90$

Hence an inequality to determine x, the number of hours he must work during each job in order to accomplish this is $30+15x\geq 90$

4 0

3 years ago

Read 2 more answers

According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what

leonid [27]

Answer: 0.8202

Step-by-step explanation:

Probability an adult was never in a museum = probability of success = p = 15% = 0.15

To find probability that 2 or fewer of the 10 samples selected were never in a museum is given by:

P(X=2) or P(X=1) or P(X=0).

Where

P(X=r) = nCr * p^r * q^n-r

and n=10, p =0.15, q=0.85

When r = 2

P(X=2) = 10C2 * 0.15² * 0.85^8 = 0.2759

When r = 1

P(X=1) = 10C1 * 0.15 * 0.85^9 = 0.3474

When r = 0

P(X=0)= 10C0 * 0.15^0 * 0.85^10 = 0.1969

Hence probability of having 2 or fewer adults who never visited the museum = 0.1969 + 0.3474+ 0.2759 = 0.8202

6 0

4 years ago

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

valentina_108 [34]

Hello!

The directrix of a parabola is a fixed line used in describing a curve or surface.

The standard form a parabola is 4p(x - h) = (y - k)². In this equation, h, k is the vertex, and p is the focal point.

To find the standard form, first, we would find p.

Since the equation given, y² = -24x, has a vertex at (0, 0), h, k would be zero. In this case, we can find p now.

4p = -24 (divide both sides by 4)

p = -6

4(-6)(x - 0) = (y - 0)² which can be simplified to: 4(-6)(x) = y².

Looking at the graph of the parabola, it is symmetric around the x-axis, so therefore, the directrix is a line parallel to the y-axis. To find the directrix, use the formula: x = 0 - p, and we know that p = -6.

x = 0 - (-6)

x = 6

Therefore, the directrix of the parabola is choice D, x = 6.

3 0

4 years ago