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Natali [406]
3 years ago
10

There are 35 red marbles, 8 blue marbles, and 7 green marbles in a bag. What is the theoretical probability of randomly drawing

a red marble?
Mathematics
1 answer:
krok68 [10]3 years ago
4 0
Number of red marbles/total number of marbles
35/(35+8+7)
35/50
7/10

The probability is 7/10
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A landscaper has 10 2/5 cubic yards of peat moss in a truck. If he unloads 2 2/3 cubic yards at the first site and 2 1/4 cubic y
Vikentia [17]

Step-by-step explanation:

The problem bothers on fractions, here we are being presented with mixed fractions.

what we are going to do bascially is to subtract the sum of all the uloaded

peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site

therefore

10\frac{2}{5}-(2\frac{2}{3}+ 2\frac{1}{4})

we then have to convert the mixed fraction to further simplify the problem we have

\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})

we then solve the fraction to the right of the negative symbol first

=\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\\\\=\frac{52}{5}-\frac{32+27}{12} \\\\=\frac{52}{5}-\frac{59}{12} \\\\\=\frac{624-295}{60} \\\\=\frac{329}{60}

We can now convert to mixed fraction

=\frac{329}{60}\\\\ =5\frac{12}{25}

For the third site the remainder is 5 12/25

8 0
3 years ago
Assume that thermometer readings are normally distributed with a mean of degrees and a standard deviation of 1.00degrees C. A th
Andrew [12]

Answer:

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0 degrees

Standard Deviation, σ = 1 degrees

We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(Between 0.50 degrees and 1.75 degrees)

P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%

0.2684 is the probability that the temperature reading is between 0.50 and 1.75.

7 0
3 years ago
What equation is a linear function?
GREYUIT [131]

c

y=1-4/3x

y=(3-4x)/3

3y=3-4x

8 0
3 years ago
$1, 000 after 2 years at an interest rate of 3.0% is $ round up to the nearest cent
BaLLatris [955]
This may be a simple interest computation.

Simple Interest = Principal * interest rate * term

Principal = 1,000
interest rate = 3%
term = 2 years

Simple Interest = 1,000 * 0.03 * 2
Simple Interest = 60

Total Amount after 2 years: 1,000 + 60 = 1,060


5 0
3 years ago
Find the equation of the line that is perpendicular to the x-axis and passes through the point (14,-9). Give the
Rudiy27

Answer:

y = -9

Step-by-step explanation:

a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9

3 0
3 years ago
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