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3 years ago

9. Solve x - 72 > 21.

2 answers:

7 0

Inequalities are just like regular equations with only one exception. Which is when yo multiply or divide by a negative number to both sides of the inequality sign you must flip it. But, for this inequality that rule will no apply. So, what I do to make it easier because I know we all see a different sign in an equation and we start to freak out. So, change the inequality sign to an equals sign to get a hang of working with them.

Example of changing an inequality sign to an equals sign:

$x-72=21$

$x-72+72=21+72$ Addition property of equality

$x=93$

Example of keeping the inequality sign

$x-72>21$

$x-72+72>21+72$ Addition property of equality

$x>93$

Andrej [43]3 years ago

6 0

Answer:

x> 93

Step-by-step explanation:

x - 72 > 21.

Add 72 to each side

x - 72+72 > 21.+72

x> 93

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Given a normal distribution with mu equals 100μ=100 and sigma equals 10 commaσ=10, complete parts (a) through (d). loading...

m_a_m_a [10]

I believe the parts are:

A. What is the probability that Upper X greater than 95X>95?

B. What is the probability that Upper X less than 75X<75?

C.What is the probability that Upper X less than 85X<85 and Upper X greater than 125X>125?

D. 95% of the values are between what two X-values (symmetrically distributed around the mean)?

<u>Solution:</u>

We use the equation for z score:

z = (X – μ) / σ

Then use the standard normal probability tables to locate for the value of P at indicated z score value.

A. Z = (95 – 100) / 10 = - 0.5

Using the tables, the probability at z = -0.5 using right tailed test is:

P = 0.6915

B. Z = (75 – 100) / 10 = - 2.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0062

C. Z = (85 – 100) / 10 = - 1.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0668

Z = (125 – 100) / 10 = 2.5

Using the tables, the probability at z = 2.5 using right tailed test is:

P = 0.0062

So the probability that 85<X and X>125 is:

P(total) = 0.0668 + 0.0062

P(total) = 0.073

D. P(left) = 0.025, Z = -1.96

P(right) = 0.975, Z = 1.96

The X’s are calculated using the formula:

X = σz + μ

At Z = -1.96

X = 10 (-1.96) + 100 = 80.4

At Z = 1.96

X = 10 (1.96) + 100 = 119.6

<span>So 95% of the values are between 80.4 and 119.6 (80.4< X <119.6).</span>

7 0

3 years ago

Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,50

otez555 [7]

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

$\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}$

2. 51 males to 21 females

$\dfrac{51}{21}=\dfrac{17}{7}$

3. 1,500 meters in 6 seconds

$\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}$

4. $36 for 4 rounds of shrimp

$\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}$

4 0

3 years ago

What percent is 60 is 15

Temka [501]

25%. 60 divided by 15 is 4, thus 15 is 1/4 of 60. 1/4 can also be expressed as 25%

7 0

3 years ago

Read 2 more answers

Hose is 32 feet long 32 feet long it needs to be cut into pieces equaling 5’3” How many whole pieces can be cut into how many wh

luda_lava [24]

Answer:

Step-by-step explanation:

Question tests the ability to get quotient

Here, 32 ft is divided by 5’3”

Normally, ft is denoted by ' while inches is denoted by ". So we divide 32 ft by 5ft and 3 inches

First, we convert dimensions into similar units. To convert 5’3” to ft, we divide 3” by 12 hence 3÷12=0.25'

The total is now 5.25'

Now

32'÷5.25'=6.1538461538461

This means, we shall obtain 6 whole pieces with some remainder. Since the question needs the whole pieces only, then the answer is 6

3 0

3 years ago

Represent 240.149 in two different ways

choli [55]

Answer:

240 149/1000, 240149/1000

Step-by-step explanation:

Mixed Number, Improper Fraction

8 0

3 years ago