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Mars2501 [29]
3 years ago
15

1) Solve the inequality. 8x + 9 < 4x - 3

Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

x < -3

Step-by-step explanation:

subtract 4x: 4x + 9 < -3

subtract 9: 4x < -12

divide by 4: x < -3

You might be interested in
The area of the composite figure is ______ square millimeters.
leonid [27]

Answer:

i believe its 110mm

Step-by-step explanation:

3 0
3 years ago
What were some of the challenges pilgrims faced on their journey
EleoNora [17]

On the ocean Pilgrims encounter fierce storms, disease, and their ship falls into disrepair. During the first winter they lack shelter, warmth, and food.

The Pilgrims struggled to build homes, and many families crowded into the few homes that were built. Food was scarce, and many Pilgrims starved to death that first winter.

Hope this helped

3 0
3 years ago
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
Bill worked 24 hours last week and earns $8.25 per hour. what is the total amount of money he earned
11Alexandr11 [23.1K]

Answer:

198

You times 8.25 by 34 which would come out as 198

3 0
2 years ago
Solve 2 2/5 - 1 1/2 .
vova2212 [387]

Answer:

9/10

Step-by-step explanation:

2 2/5 - 1 1/2

Get a common denominator of 10

2 2/5 *2/2 =  2 4/10

1 1/2 *5/5 = 1 5/10

2 4/10 - 1 5/10

Borrow from the 2 as 10/10

1 + 10/10 +4/10   - 1 5/10

1 14/10 - 1 5/10

9/10

4 0
3 years ago
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