someone help with this question please

Answer:

Ths sum of the first 38 terms is [tex]\frac{1,045}{2}=522.5[/tex]

Step-by-step explanation:

Arithmetic Sequences

They are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of n terms of the sequence is

[tex]S_n=\frac{n}{2}( a_1 + a_n)[/tex]

The common difference is found by subtracting two consecutive terms:

[tex]r=a_{n+1}-a_n[/tex]

Using the first two terms:

[tex]r=a_2-a_1=5-\frac{9}{2}=\frac{1}{2}[/tex]

Now we find the term n=38

[tex]\displaystyle a_{38}=\frac{9}{2}+(38-1)\frac{1}{2}[/tex]

[tex]\displaystyle a_{38}=\frac{9}{2}+\frac{37}{2}=\frac{46}{2}=23[/tex]

The sum is:

[tex]\displaystyle S_{38}=\frac{38}{2}( \frac{9}{2} + 23)[/tex]

[tex]\displaystyle S_{38}=19( \frac{9+46}{2})[/tex]

[tex]\displaystyle S_{38}=19( \frac{55}{2})= \frac{1,045}{2}=522.5[/tex]

Ths sum of the first 38 terms is [tex]\mathbf{\frac{1,045}{2}=522.5}[/tex]

Answer:

9

Step-by-step explanation:

Answer:

The median is 16.

Step-by-step explanation:

To find the median of a set, first we sort the set in an incresing way. So

3,5,8,11,15,16,18,22,23,32,36

The set has 11 elements, so the median will be element at the position (11+1)/2 = 6, that is, the 6th element of the sorted set.

In this case, the median is 16.

Step-by-step explanation:

[tex] \frac{(5 {n}^{5} ) ^{3} }{( {n}^{2} ) ^{7} } = 875[/tex]

[tex] \frac{5 {n}^{15} }{ {n}^{14} } = 875[/tex]

[tex]5 {n}^{15 - 14} = 875[/tex]

[tex]5n \: = 875[/tex]

[tex]n \: = \frac{875}{5} [/tex]

Therefore n = 175

Hope it will help :)❤

Answer:

114 prefer sweaters and 138 prefer jackets

Step-by-step explanation:

(19/23+19)×252=114 prefer sweaters

(23/19+23)×252=138 refer jackets

Answer:

he has 35 students all together

Step-by-step explanation:

15 divided by 3(the girls)=5. 5 x 4(the boys)=20. 20 + 15 =35.

Answer:

35

Step-by-step explanation:

Answer:

The margin of error for a 95% confidence interval is of 2.18 hours.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 100 - 1 = 99

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.984

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.

In this question:

[tex]s = 11.5, n = 100[/tex]. So

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 1.984\frac{11}{\sqrt{100}}[/tex]

[tex]M = 2.18[/tex]

The margin of error for a 95% confidence interval is of 2.18 hours.

9514 1404 393

Answer:

  2.  K'(-1, -5)

  3.  (-3, 5), (3, 10), (-6, 8); translation left 2 and up 7

Step-by-step explanation:

2. The transformation is the one you have shown:

  (x, y) ⇒ (x, -y) . . . . reflection over the x-axis

You are given the coordinates for K and asked for K', the reflected point. Use the x- and y-values in the transformation formula:

  K(-1, 5) ⇒ K'(-1, -5) . . . . . . the y-coordinate is negated

It's that simple.

__

3. Same deal, different formula.

  (x, y) ⇒ (x -2, y +7)

  A(-1, -2) ⇒ A'(-1-2, -2+7) = A'(-3, 5)

  B(5, 3) ⇒ B'(5 -2, 3 +7) = B'(3, 10)

  C(-4, 1) ⇒ C'(-4 -2, 1 +7) = C'(-6, 8)

When constants are added to the coordinates, the transformation is a translation.

The x-values are decreased by 2, so that is a shift left by 2 units.

The y-values are increased by 7, so that is a shift up by 7 units.

The attachment shows the translated triangle (red). The translation vector (-2, 7) is shown as a black arrow. You will notice each triangle vertex is translated that length in that direction.

Answer:

If Kareem were to work for 5 hours, she would get paid $45.

Step-by-step explanation:

If she gets paid $72 for working 8 hours, you would need to find how much she gets paid per hour by doing [tex]72/8[/tex].

Which then gives you $9 per hour, so then all you need to do is multiply $9 by the number of hours which in this case is 5 to get the answer of $45.

Answer:

-5 1/2 < -3

Step-by-step explanation:

because the higher or bigger the number is as a negative the lower the number really is.

Hope this helps!

Answer:

Option A

Step-by-step explanation:

[tex] \sec( \alpha ) = \frac{hypotenuse \: of \: tringle}{side \: adjacent \: to \: \alpha } [/tex]

where [tex] \ alpha [/tex] is an angle of triangle.

In the triangle given above , [tex] \ alpha = angle A [/tex]. So,

[tex] \sec(A) = \frac{10}{8} = 1.25[/tex]

Answer:

a, shoudl eb ur answer

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

1222eat 222x21d3332

Answer:

1•2n

Step-by-step explanation:

Given the sequence if numbers

1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...

You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are

2,4,6,8,10...

The nth term of an AP is expressed as

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

a = 2

d = 4-2 = 6-4 = 8-6 = 2

Substitute into the formula

Tn = 2+(n-1)2

Tn = 2+2n-2

Tn = 2-2+2n

Tn = 2n

Hence the nth term of the sequence is 1•2n

C. because 103° and angle b are vertically opposite angle and angle b is corresponding to x

Step-by-step explanation:

So lets multiply the parantheses by -3 we get

-3×2x-3×6

Which we can write as

-6x-18

Answer:

[tex]\huge\boxed{\boxed{{\boxed{{-6x-18}}}}}[/tex]

Step-by-step explanation:

Hello.

In order to simplify the expression, we should multiply -3 times 2x and 6:

-3 times 2x = -6x

-3 times 6=-18

-6x-18

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

Step-by-step explanation:

301.56

Answer:

Step-by-step explanation:

So, first lets the probability of just finding a yellow marble. There are 9+5+2+4 marbles in total, and that is 19 marbles.

5 out of those 20 are yellow, so the probabilty is 5/20 which is 1/4 or 20%

Then, lets do just finding the probability of a color that isn't blue.

Out of 20 marbles, 11 are color not blue, and 9 are.

So that probability is 11/20

Now, I think we need to do 11/20-5/20 so 6/20=3/10

Im so sorry, I might be wrong. I found both probabilities but I dont know if my final step is right.

Answer:

irrational

Step-by-step explanation:

Answer:

$1.60 tip on a $8 sandwich

Step-by-step explanation:

SO to find percent

just multiply the number by the percent

Remeber the percent means x/100

SO in this case 20/100 or 1/5

So you can just multiply 1/5*8 and get 1 3/5.

If you convert 3/5 into a decimal

3 divided by 5

that is .6

SO add them up

1+0.6= $1.60

Answer:

50 green

Step-by-step explanation:

19 blue

38 spaceman

Answer:

Step-by-step explanation:

Total number = 150

Answer:

7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.

Step-by-step explanation:

Given that Malik completes 0.7 of the total number of push-ups his coach requires.

Checking the given options:

7% = 7/100 = 0.07

14/20 = 0.7

70% = 70/100 = 7/10 = 0.7

0.70 = 0.7

Therefore,

7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.

Answer:

3(x - a)(x - b)(x - c) when a + b + c = 3x .

Step-by-step explanation:

i don't know but this has to be right

Answer:

subtract 2

Step-by-step explanation:

Answer:

Divide an odd number by 3

Step-by-step explanation:

Answer:

(B)  24

Step-by-step explanation:

Answer: 5 3/4

Step-by-step explanation:

Answer:

On brainly we help each other what need help with

Step-by-step explanation:

Answer:

There shouldn't be any divison with this problem. If one gallon gets you thirty miles, then 13 gallons would get you 13 x 30 miles. There's no need for fractions. (He'd drive 390 miles on 13 gallons, by the way)

Step-by-step explanation: