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g100num [7]
3 years ago
10

Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t

able.
Shape triangle square circle
Number of cards 16 16 18
What is the probability that a randomly selected card has a triangle drawn on it?
Mathematics
2 answers:
Mashcka [7]3 years ago
5 0

Answer: \frac{8}{25}

Step-by-step explanation:

The total number of cards in the bag=16+16+18=50

The number of cards has triangle = 16

The probability that a randomly selected card has a triangle drawn on it is given by :-

=\frac{\text{Number of cards has triangle}}{\text{Total cards}}\\\\=\frac{16}{50}\\\\=\frac{8}{25}

Hence, the probability that a randomly selected card has a triangle drawn on it =\frac{8}{25}

adell [148]3 years ago
3 0
The probability is 16/50 or 32 percent 
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The lengths of pregnancies are normally distributed with a mean of 269269 days and a standard deviation of 1515 days. a. Find th
kati45 [8]

Answer:

a. 0.38%

b. 266.75 days

Step-by-step explanation:

We have the following data, mean (m) 269 and standard deviation (sd) 15, therefore:

a. The first thing is to calculate the number z:

z (x) = (x - m) / sd

z (309) = (309-269) / 15 = 2.67

When looking in the normal distribution table (attached), we have that at this value of z, the probability is:

P (z> 2.67), that is to say we must look in the table -2.67 and this value corresponds to 0.0038, that is to say 0.38%

b. Find the z-value with a left tail of 44%, i.e. 0.44. We look in the table for this value and what value of z corresponds.

invNorm (0.44) = -0.15

Find the corresponding number of days:

x = z * sd + m

we replace

d = -0.15 * 15 + 269 = 266.75 days

7 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
WINSTONCH [101]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span>   <span>an = −4(−5)n − 1 where n ≥ 1 .
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5 0
3 years ago
Read 2 more answers
I NEED HELP PLEASE, THANKS! :)
Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

<u><em>Solution = Option A</em></u>

3 0
3 years ago
Uhh I need help what is equivalent to 1 to 4 ????​
Nataly_w [17]

Answer:

2/8

Step-by-step explanation:

8 0
2 years ago
What is the area of the semicircle?
Serggg [28]

Step-by-step explanation:

Area (semi-circle)= \frac{r^2\pi }{2}

A = \frac{(11)^2\pi }{2}

A=\frac{121\pi }{2}

A=\frac{379.94}{2}

A=189.97

The area of the semi-circle is 189.97

6 0
2 years ago
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