All categories

3 years ago

Watch help video

Mathematics

1 answer:

amm18123 years ago

4 0

Answer:

Step-by-step explanation:

25 - 32 = -7 and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

$a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}$

You might be interested in

Can i pls get some help

Korvikt [17]

Can you maybe take another screenshot I can’t see what it says.

3 0

3 years ago

a farmer sold 2/5 of his cows and another 10th was stolen he then gave 20% of the cows that was left what percentage of the cows

igor_vitrenko [27]

Answer:

4/5 of the cattle is left

Step-by-step explanation:

Given,

A farmer sells 2/5 of his cattle

Let "x" be the total number of cattle

Then,

sold = 2 / 5 x

Then,

Remaining = x - 2x / 5

remaining = 3x / 5

He gives 1/3 of the remainder to his son

son = 1 / 3 × 3x / 5

son = x / 5

Then,

Remaining = 3x / 5 - x / 5

Remaining = 4x / 5

Hope this answer helps you :)

Have a great day

Mark brainliest

Thus 4/5 of the cattle is left

8 0

3 years ago

At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 519 ml. The filling process follows a n

k0ka [10]

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

$H_0: \mu=519\\\\H_a:\mu\neq 519$

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

$H_0: \mu=519\\\\H_a:\mu\neq 519$

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5$

Then, we can calculate the z-statistic as:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2$

This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z>2)=0.046$

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

7 0

3 years ago

Solve the linear system if 3x+4y-z=-6 5x+8y+2z=2. -x+y+z=0

Anni [7]

We are given with three equations and three unknowns and we need to solve this problem. The solution is shown below:
Three equations are below:
3x + 4y - z = -6
5x + 8y + 2z = 2
-x + y + z = 0

use the first (multiply by +2) and use the second equation:
2 (3x+4y -z = -6) => 6x + 8y -2z = -12
+ ( 5x + 8y +2z = 2)
------------------------
11x + 16y = -10 -> this the fourth equation

use the first and third equation:
3x + 4y -z = -6
+ (-x + y + z =0)
-------------------------
2x + 5y = -6 -> this is the fifth equaiton

use fourth (multiply by 2) and use fifth (multiply by -11) equations such as:
2 (11x + 16y = -10) => 22x + 32y = -20 -> this is the sixth equation
-11 (2x + 5y = -6) => -22x -55y = 46 -> this is the seventh equation

add 6th and 7th equation such as:
22x + 32y = -20
+(-22x - 55y = 66)
---------------------------
- 23y = 46
<span> y = -2

solving for x, we have:
</span>2x + 5y = -6
2x = -6 - 5y
2x = -6 - (5*(-2))
2x = -6 +10
2x = 4
x=2

solving for y value, we have:
-x + y + z =0
z = x -y
z = 2- (-2)
z =4

The answers are the following:
x = 2
y = -2
z = 4

5 0

4 years ago

If anyone takes vitamins, they will feel better. Bob takes vitamins. Therefore, Bob will feel better. Deductive Reasoning or Ind

Annette [7]

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning is when you make a conclusion based on facts you previously know. These conclusions are correct.

Inductive reasoning is when you use a previously known fact to come up with a general assumption.

Here, we took some previously known facts <em>(If anyone takes vitamins, they will feel better)</em> and made a conclusion that relates fully to that fact. Since Bob took vitamins, he will feel better.

Hope this helped!

8 0

3 years ago