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Mama L [17]
2 years ago
5

4. A list of 8 numbers is formed by beginning with two given numbers. Each new number in the list is the product of the two prev

ious numbers. Find the first number if the last three are shown:
? , _____ , ____ , _____ , 16 , 64 , 1024 ,
Mathematics
1 answer:
sergeinik [125]2 years ago
8 0

Answer:

4, 2, 8

Step-by-step explanation:

8

the keyword product indicates that it's multiplication and 4 times 2 is 8 and 8 times two is 16

You might be interested in
9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score

Given that:

\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0
3 years ago
Lily swims for 5 hours in stream that has a current of 1 mph. She leaves her dock, swims upstream for 2 miles and then swim back
antiseptic1488 [7]

Answer:

Swimming speed in still water is approximately 1.5 mph

Step-by-step explanation:

Given the speed of the current = 1 mph

distance she swims upstream =2 miles,

the total time = 5 hours.

She swam 2 miles upstream against the  current and 2 miles back to the dock with  the current. The formula that relates  distance, time, and rate is d = r t\ \ \ \ or  \ \ \  t= \frac{d}{r}

Let x be the speed in still water.

Then  her speed with the current is x + 1, and

her speed against the current is x – 1.

Total time is equal to 2 miles with upstream and 2 miles downstream.

\frac{2}{x+1}+\frac{2}{x-1}=5\\\\\frac{2(x-1)}{(x+1)(x-1)}+\frac{2(x+1)}{(x-1)(x+1)}=5\\\\\frac{2x-2}{(x^2-1)}+\frac{2x+2)}{(x^2-1)}=5\\\\\frac{2x-2+2x+2)}{(x^2-1)}=5\\\\4x=5(x^2-1)\\4x= 5x^2-5\\0= 5x^2-4x-5

Now Using quadratic formula to solve above equation we get;

x= \frac{-b \±\sqrt{b^2-4ac}} {2a}\\\\here \ \ a= 5,b=-4,c=-5\\\\x= \frac{-(-4) \±\sqrt{(-4)^2-4\times 5\times-5}} {2\times5}\\\\x=\frac{4 \±\sqrt{16+100}} {10}\\\\x=\frac{4 \±\sqrt{116}} {10}=x=\frac{4 \±2\sqrt{29}} {10}= x=\frac{2 \±\sqrt{29}} {5}\\ x \approx 1.5 \ or \ x = -0.7

Since speed must be positive, Hence speed of still water is about 1.5 miles per hour.

3 0
3 years ago
Which inequality statement describes the two numbers on a number line? "−13 and a number 18 units to the right of −13"
natali 33 [55]
-13 + 18 = x. The number is 5
3 0
3 years ago
How many lemons are needed to fill 375 ml bottle of lemon juice if 2 large lemons fill 100ml
umka21 [38]

Answer:

Answer:

7 and half

Explanation:

cuz if the two lemin fill two then one will fill 50ml ,

then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half

8 0
3 years ago
Read 2 more answers
Please help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
zubka84 [21]
Well.. the equation for the interior angles of a polygon is 180(n-2). So it could possibly be 180.


Hope I could help.
8 0
3 years ago
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