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MariettaO [177]
3 years ago
9

First term is 3, common difference is 4 what is the 5th term

Mathematics
1 answer:
patriot [66]3 years ago
5 0

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

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One scientific team determened that the avrage thickness of a chickens egg shell is 0.311 millimeters
rosijanka [135]

Answer:

As we can see the average for the thickness of a chickens egg shell is 0.311 mm and if we want to round this number to the nearest tenth we just need to see the second decimal place and round to one decimal place.

This second decimal place for this number is 1 and this number is \leq 5 so then if we round to the nesrest tenth we will get:

0.3 mm

Step-by-step explanation:

We use the following info in order to complete the qeustion:

Round the thickness of the shell to the nearest tenth.

0.3

0.5

0.92

9

As we can see the average for the thickness of a chickens egg shell is 0.311 mm and if we want to round this number to the nearest tenth we just need to see the second decimal place and round to one decimal place.

This second decimal place for this number is 1 and this number is \leq 5 so then if we round to the nesrest tenth we will get:

0.3 mm

7 0
3 years ago
They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers wi
Lyrx [107]

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

8 0
2 years ago
Larry spent 1/2 of his money on a camera and another 1/8 on a radio. the camera cost $120 more than the radio. how much money di
elena-s [515]
Let, his original money = x
It would be: x * 1/2 = 120 
x = 120 * 2
x = 240

In short, Your Answer would be $240

Hope this helps!
7 0
3 years ago
Read 2 more answers
A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len
Gnom [1K]

Answer:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

df=n-1=93-1=92  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

Step-by-step explanation:

Information provided

\bar X=5.97 represent the sample mean for the length

s=0.4 represent the sample standard deviation

n=93 sample size  

\mu_o =6 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:  

Null hypothesis:\mu = 6  

Alternative hypothesis:\mu \neq 6  

since we don't know the population deviation the statistic is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing in formula (1) we got:

t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723    

E. -0.723

P value

The degrees of freedom are given by:

df=n-1=93-1=92  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(92)}  

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

5 0
3 years ago
A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What
nevsk [136]
3.84 meters because 2% of 48 is 0.96, 0.96*4, which is 3.84
8 0
2 years ago
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