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3 years ago

Whats the question? The answer is 32/3.

Mathematics

2 answers:

trasher [3.6K]3 years ago

7 0

Put 10 2/3 as an improper fraction

Ahat [919]3 years ago

3 0

Maybe it could've been:

3x = 32. Find the value of x.

Hence, you'd do 32 divided by 3 to find the value of x.

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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines

storchak [24]

Answer:

The null hypothesis is $H_o: \mu = 4$ .

The alternate hypothesis is $H_a: \mu \neq 4$

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

$H_o: \mu = 4$

At the alternate hypothesis we test if it is different. So

$H_a: \mu \neq 4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that $\mu = 4$

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that $n = 196, X = 4.14$

He knows that the population standard deviation is 0.83 cm.

This means that $\sigma = 0.83$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}$

$z = 2.36$

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0

2 years ago

What is the value of 2x^2 - 4x + 5 when x is -3

IgorLugansk [536]

Answer:

Step-by-step explanation:

2x9+12+5=35

4 0

2 years ago

If BC= 48 cm and sin

erastovalidia [21]

Using relations in a right triangle, it is found that the length of AC is of 14 cm.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Researching this problem on the internet, we have that:

The opposite leg to angle A is of 48 cm.

sin(A) = 0.96.

Hence the hypotenuse is found as follows:

sin(A) = 48/h

0.96 = 48/h

h = 48/0.96

h = 50 cm.

The length of side AC is the other leg of the triangle, found using the Pythagorean Theorem, hence:

$x^2 + 48^2 = 50^2$

$x^2 = \sqrt{50^2 - 48^2}$

x = 14 cm.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0

2 years ago

Guys pls kindly help me with this one I will brainlest the one with a serious answer please I need it right now this is rush ple

Galina-37 [17]

Hey there :)

An exact answer cannot be given as it requires to reseach about banks and co-operatives in your locality. However, I can give you a hint.

Research banks or cooperatives in your location that has the greatest percentage in terms of investment or savings.

Let's say, for example, Bank ABC has 5% annual simple interest in their Savings Account.

If you invest your entire money 100,000 pesos at Bank ABC with 5% annual interest for 20 years, you will earn an interest of:

$Interest = Principal \times Rate \times Time$

$= > Interest =100000 \times 0.05 \times 20yrs$

$= > Interest = 100000$

Hence, after investing at Bank ABC for 20 years, you will earn 100,000 pesos on top of your principal/invested amount that is 100,000 pesos. Your money will become 200,000 pesos now.

So, with this, find a bank/cooperative that has the highest return rate in your location. Once you have decided bank/cooperative, research further with regards to the background of the company, other services offered, application requirements, etc.

~ Benjemin360

4 0

2 years ago

PLEASE ZOOM IN. pre cal:

Alexandra [31]

that is Venn diagram

so simple

3 0

2 years ago