How many more vertices does a rectangular prism have, compared to triangular pyramid?

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou

sergejj [24]

Answer:

$t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357$

$df=n-1=50-1=49$

$p_v =P(t_{(49)}$

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

Step-by-step explanation:

Information given

$\bar X=2.90$ represent the sample mean for the growth

$s=0.30$ represent the sample standard deviation

$n=50$ sample size

$\mu_o =3$ represent the value to check

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:

Null hypothesis: $\mu \geq 3$

Alternative hypothesis: $\mu < 3$

We don't know the population deviation so we can use the t statistic:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357$

The degrees of freedom are given by:

$df=n-1=50-1=49$

The p value for this case would be given by:

$p_v =P(t_{(49)}$

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

3 0

3 years ago

The ratio of laptop to desktop computers at a middle school. Is 8 to 6. If there are 462 desktop computers, how many computers i

Aleksandr-060686 [28]

Answer:

1078

Explanation:

For this you can use a proportion to solve. So first we set up the proportion as laptop over desktop is equal to "l" over total desktop computers. Let l be the total amount of laptops which is what we must first solve for.

$\frac{8}{6}=\frac{l}{462} \\$

Then we cross multiply.

$6l=3696\\$

Now we can solve it as a regular algebra problem,

$\frac{6}{6}l = \frac{3696}{6}\\ l=616$

Now that we know how many laptop computers there are we can find the total number of computers in the school. We simply add the total number of desktop computers to the total number of laptop computers.

$462+616=1078$

And that is the answer. 1078.

7 0

3 years ago

BD bisects ABC. Find mZABD, mZCBD, and m ZABC. A (3x + 6° D B (7x – 18)°C

dangina [55]

The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43

3 0

3 years ago

What is the probability that when a coin is flipped six times in a row, it lands heads up every time?

Elanso [62]

The possibility is 3 : 1/2 * 6/1 = 3/1

6 0

3 years ago

A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all to

Flura [38]

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

5 0

4 years ago