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3 years ago

If the first differences of a sequence are a constant -7 and the third term is 22, find the first 5 terms of the sequence.

Mathematics

1 answer:

Andru [333]3 years ago

8 0

Answer:

36, 29, 22, 15, 8

Step-by-step explanation:

Step 1: State known information

First difference is -7

Third term of the sequence is 22

Step 2: Find first 5 terms

You just need to add and subtract 7 to 22 and the answer 5 times

1. 36 +7

2. 29 +7

3. 22 <- We know 22 is the 3rd term

4. 15 -7

5. 8 -7

Therefore the first 5 terms of the sequence is 36, 29, 22, 15, 8

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A survey of an urban university (population of 25,450) showed that 883 of 1,112 students sampled supported a fee increase to fun

quester [9]

Answer:

The confidence interval for the proportion of students supporting the fee increase

( 0.77024, 0.81776)

Step-by-step explanation:

Explanation:

Given data a survey of an urban university (population of 25,450) showed that 883 of 1,112 students sampled supported a fee increase to fund improvements to the student recreation center.

Given sample size 'n' = 1112

Sample proportion 'p' = $\frac{883}{1112} = 0.7940$

q = 1 - p = 1- 0.7940 = 0.206

The 95% level of confidence intervals

The confidence interval for the proportion of students supporting the fee increase

$(p-z_{\alpha } \sqrt{\frac{pq}{n} } ,p + z_{\alpha } \sqrt{\frac{pq}{n} } )$

The Z-score at 95% level of significance =1.96

$(0.7940-1.96\sqrt{\frac{0.7940 X 0.206}{1112} } ,0.7940 + 1.96 \sqrt{\frac{0.7940 X 0.206}{1112} } )$

(0.7940-0.02376 , 0.7940+0.02376)

( 0.77024, 0.81776)

Conclusion:-

The confidence interval for the proportion of students supporting the fee increase

( 0.77024, 0.81776)

6 0

4 years ago

What do the following two equations represent? y=-3x+1 y+5= -3(x-2) a) the same line b) distance parallel lines c) perpendicular

Cloud [144]

Answer:

Step-by-step explanation:

First let's make sure both equations are in slope-intercept form

y + 5 = -3x + 6

y = -3x + 1

Since they both have the same slope and y - intercept they are A, the same line

3 0

4 years ago

Choose all fractions equivalent to each given fraction.

andreyandreev [35.5K]

Answer:

you are correct

all the answer are right

5 0

2 years ago

Please help! Instructions: rewrite the equations in slope intercept form. Then graph

densk [106]

Answer:

13. y = -4x + 6

14. y = 1/2x - 2

Step-by-step explanation:

You want to put y on one side and the rest of the numbers on the other side. You can do this by adding or subtracting or dividing the numbers/variables on the left.

13.

4x + y = 6

subtract both sides by 4x

y = 6 - 4x

or rewritten as:

y = -4x + 6

14.

-3x + 6y = -12

add both sides by 3x

6y = 3x - 12

divide both sides by 6

y = 1/2 x - 2

please give thanks :)

5 0

3 years ago

A tree broke 14 ft. above the ground. The top of the tree now touches the level ground and the trunk is still partially attached

zmey [24]

Draw a right triangle ABC with, the point where the top touches the ground and one leg, BC, the stump, measuring 14 ft.
The height of the tree = hypotenuse + stump BC (14 ft)
If the ∠ of inclination = 43°, then ∠ CAB = 37°
Now let's apply the law of sine:
sin 37°/14 = sin 43°/AB →and AB = 14.sin 43°/sin 37° = 15.86
Hypotenise² = AB² + CB²
Hypotenuse² = 15.85² + 14² = 447.22 → and Hypotenuse = 21.14 ft
Tree Height = hypotenuse + stump = 21.14 + 14 ≈ 35 ft

7 0

3 years ago