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jarptica [38.1K]
2 years ago
8

2 1/3 −1.5x=12.3 please help me I'm really struggling need an answer ASAP.

Mathematics
1 answer:
Harrizon [31]2 years ago
7 0

Answer:

-6.64

Step-by-step explanation:

since you need to find the value of x , but all values to one side and have x on the other .. meaning :

2 1/3 -12.3 = 1.5x

now that you have this find the decimal value of 2 1/3

which is 2*3 +1 = 7/3

in decimal form is 2.33333...

now subtract  (2.3333.. - 12.3 ) / 1.5

x = -6.6444

to 3 sf = -6.64

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Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d
goldenfox [79]

Answer:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

Step-by-step explanation:

                           Drug User   Not a drug user    Totals

Test positive       475                     475                  950

Test negative      25                      9025               9050

Totals                   500                   9500               10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0
1 year ago
Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica
Lera25 [3.4K]

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

8 0
2 years ago
A package of hamburgers contains 8 patties and costs $7.50. Part A.) Luna has to buy at least 16 packages for an upcoming picnic
Rus_ich [418]

Answer:

Part A) p\geq 128\ patties

Part B) She will spend more than \$142.50

Step-by-step explanation:

Let

p-----> the number of hamburger patties

Part A) Luna has to buy at least 16 packages for an upcoming picnic

p\geq 16*8

p\geq 128\ patties

Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?

Let

c---------> the total cost

step 1

Divide 150 hamburgers by 8 (a package of hamburgers)

so

\frac{150}{8} =18.75\ package

round to the nearest whole number

18.75=19\ package----> the minimum number of packages

step 2

c>19*\$7.50

c>\$142.50

7 0
2 years ago
You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during
KIM [24]

Answer:

The probability of not rain during the entire festival is 0.19

Step-by-step explanation:

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.

In this case we have the probability of raining of each day,  we need the probability of NOT raining.  

First day= 45% chance of rain, the complement is 55%

Second day 55% chance of rain, the complement is 45%

Third day a 10% chance of rain, the complement is 90%

Fourth day a 10% chance of rain, the complement is 90%

Fifth day 5% chance of rain, the complement is 95%

To get the probability of NOT raining in the entire festival is the multiplication of all the complements.

P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19

4 0
2 years ago
The grade point average in an econometrics examination was normally distributed with a mean of 75. in a sample of 10 percent of
podryga [215]
<span>No. From the data provided you can not determine what the standard deviation is. In order to determine the standard deviation you need the actual grades not just a mean.</span>
8 0
2 years ago
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