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3 years ago

And this is the last one

Mathematics

1 answer:

vivado [14]3 years ago

7 0

The answer is P because the line after it (Q) shows that the cyclist stopped travelling because the distance travelled amount didn’t change ☺️

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James is buying a table.He finds the same table for sale in two different shops.

mina [271]

"Table World" is quoting a better price

<u>Step-by-step explanation:</u>

The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT

that means 140 is the final price a customer needs to pay.

While other shop"Tables R us" is quoting a price of 120 without VAT

so we need to add VAT in the price to find out the final price

price+VAT on the price

=120+120*(17.5/100)

=120+120*0.175

=120+21

so final price =141

so comparatively "Table World" is quoting a better price

6 0

3 years ago

A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th

ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\$

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

$H_0: \mu=500\\\\H_a:\mu< 500$

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1$

The degrees of freedom for this sample size are:

$df=n-1=5-1=4$

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0

3 years ago

Have a look of the drawing... What is "d" value? I have tried many methods but don't find how to solve... Pleaseeee

Phoenix [80]

I´d say "d" is the distance from the eye to the wall.
Now substracting 1.2-1 you´ll get the distance of the wall of the smallest triangle = 0.2 And you do 1.5-0.2= 0.3 that´s the distance of the wall of the other triangle. Then you solve everything with Pitagoras theorem. You have 2 rectangle triangles.
B+alfa=45°
tan^-1(0.2/d)=B
tan^-1(1.3/d)=alfa
THEN:
tan^-1(0.2/d)+tan^-1(1.3/d)=45°
Now you have 3 ecs and 3 variables.
alfa,B and "d"

3 0

3 years ago

Read 2 more answers

Jamie is saving to buy a video game system. He has saved $16, which is 5% of the total cost. What is the cost of the video game

Galina-37 [17]

$320 5 times 20 is 100 so you have to times 16 by 20 to get the total 100% of the video game system

4 0

3 years ago

I need help with number 16 i need the answer by 8:45 please. Thank you

Nadusha1986 [10]

Type o ( ii) = 6 . 25

Type A ( l^A l ^A or l ^A i ) = 18 . 75

Type B ( l ^b l^b or l ^ bi ) = 18.75

Type AB ( l ^ A l^ B) = 56.25

3 0

3 years ago