All categories

3 years ago

What is the value of the 24th term in the following arithmetic sequence?

Mathematics

2 answers:

aliya0001 [1]3 years ago

7 0

a=-9

d=-2-(-9)

= 7

d= 5-(-2)

= 5+2

a24 = a+23d

= -9 + 23×7

= -9 + 161

a24 = 152

so, answer is b.152

hope it will help you.

lorasvet [3.4K]3 years ago

4 0

Answer:

Option B

Step-by-step explanation:

$a_{n}=a_{1} +d(n-1)\\a_{n}=-9 +7(n-1)\\a_{24}=-9 +7(24-1)\\a_{24}=-9 +7(23)\\a_{24}=-9 + (161)\\\\a_{24}=152\\$

You might be interested in

Please helpp find the volume of each figure

pentagon [3]

Answer:

3.33

4.33

TVE figures is that

6 0

3 years ago

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of

julia-pushkina [17]

Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who caught the longer fish, relative to fish of the same species?

Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when $X = 283, \mu = 264, \sigma = 57$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{283 - 264}{57}$

$Z = 0.33$

Gina caught a pompano that was 152mm long.

For pompano, the mean is 157mm with a standard deviation of 28mm.

So we have to find Z when $X = 152, \mu = 157, \sigma = 28$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{152 - 157}{28}$

$Z = -0.18$

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

8 0

4 years ago

Secant jkl and jmn are drawn to circle o from an external point ,j. if jk=8,lk=4 and jm=6 what is the length of jn answer

Archy [21]

See the picture attached to better understand the problem

we know that
If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
so
jl*jk=jn*jm------> jn=jl*jk/jm

we have
jk=8,lk=4 and jm=6
jl=8+4----> 12

jn=jl*jk/jm-----> jn=12*8/6----> jn=16

the answer is
jn=16

6 0

4 years ago

Find the surface area of the cube shown below. A. 66 cm2 B. 121 cm2 C. 726 cm2 D. 1,331 cm2

irina [24]

Answer:

Step-by-step explanation:

3 0

2 years ago

Find an ordered pair , x y that is a solution to the equation. 3x-y=1

NemiM [27]

Answer:

2,5

Step-by-step explanation:

2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.

3 0

3 years ago