A packet of crisps contains 1.2 g of salt .Lucy eats 0.7 of the packet of crisps.How much salt does she eat

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}= p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0204^{2})[/tex].

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0204}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0204})[/tex]

                                          [tex]=P(-1.96<Z<196)\\=P(Z<1.96)-P(Z<-1.96)\\=0.975-0.025\\=0.95[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306[/tex]

So, the sampling distribution of sample proportion is [tex]\hat p\sim N(0.75,0.0306^{2})[/tex].

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

[tex]P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.0306}<\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.04}{0.0306})[/tex]

                                          [tex]=P(-1.31<Z<196)\\=P(Z<1.31)-P(Z<-1.96)\\=0.9049-0.0951\\=0.8098\\\approx 0.81[/tex]

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

Answer:

do you have the diagram

Step-by-step explanation:

Answer:

yes ido

Step-by-step explanation:

Answer:

In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{120 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is [tex]x[/tex]°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

[tex]60 \cdot 2 = 120[/tex]

So m∠TSP is 120°.

Hope this helped!

Answer:

0.4

Step-by-step explanation:

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Answer:

don''t knw

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

[tex]3 - ( - 8) = 11[/tex]

[tex]11 - ( - 2) = 13[/tex]

Answer: 1.9 per year this is the answer

Answer:

the answer is D

Step-by-step explanation:

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

Answer:

no

Step-by-step explanation:

Answer:

I don’t think it’s neither less than it equal

Step-by-step explanation:

I could be wrong don’t listen to me :)

Answer:

The answer is going to be option 1.

Step-by-step explanation:

The answer you get from multiply an number by itself is a perfect square.

Answer:

8×8 =8^2=64 (perfect square)

Step-by-step explanation:

64 is a perfect square because 8^2 =8×8 =64

Answer:

I think it is Positive."

Step-by-step explanation:

I am so sorry if it is not correct.

Good luck!

Answer:

I don’t know exactly what ur asking but I hope this helps

Step-by-step explanation:

6.33

NOT Answer:

i would be glad to answer this but whats a quotient

sory

Answer:

75 feet and 900 inches

Step-by-step explanation:

A yard is equal to 3 feet, while a foot is 12 inches.

Multiply 25 with 3 to get 75 feet.

Multiply 25 with 36 (12*3) to get 900 feet.

Hope this helped :)

Answer:

The tenth place

Step-by-step explanation:

Answer:

A; the statement is true

Step-by-step explanation:

In this question, we are to select which of the options is correct according to the initial statement.

The statement is true.

If the data classes have same frequency, then the distribution is said to be symmetrical in nature.

What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.

Answer:

Tom wants to go to disneyland this weekend with 23 adults including himself and 4 children Ashley 3, Leslie 1, Brit 4, Victor 2. Children under the age of 6 pay "x" amount while anyone older pay "y" amount. What equation can tom use to find out how much the tickets in total will be.

Step-by-step explanation:

Y = Adults pay y amount - There are 23 adults

X =kids under 6 pay x amount - there are 4 children

4x+23y

4 (kids under 6 ticket cost)+ 23 (Adults ticket cost)

Answer:

2.99

Step-by-step explanation:

1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign

2.) 2x2=4

3.) Move 4 below 5

4.) Subtract 5-4=1

5.) Bring down 9

6.) 2 Goes into 19 9 times

7.) 2x9=18

8.) 19-18=1

9.) Bring down the 7

10.) 2 Goes into 17 8 times

11.) 2x8= 16

12.) 17-16=1

13.) Add a zero onto the end, bring down that zero

14.) 2 goes into 10 5 times.

15.) Round answer to 2.99 because with money you only have two decimals

Answer: Yes

Step-by-step explanation: Here, we want to decide

if 2 is a solution for the equation 4n - 3 = -2n + 9.

We can do this by simply plugging in 2 for n.

If the statement holds true, then 2 is a solution.

Plugging in 2 for n, we have 4(2) - 3 = -2(2) + 9.

Remember that a negative times a positive is a negative.

So we have 8 - 3 = -4 + 9.

Simplifying further, we have 5 = 5.

Notice that 5 = 5 is a true statement.

So yes, 2 is a solution for the equation 4n - 3 = -2n + 9.

2 tenths + 11 hundredths is greater than 0.14.

2 tenths +11 hundredths is 3 tenths and 1 hundredth, or 0.31

Answer:

The 99% confidence interval is  [tex] 403.33 <  \mu < 462.67 [/tex]  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  100

   The sample mean is  [tex]\= x = 433[/tex]

    The standard deviation is [tex]\sigma = 115[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 2.58 *  \frac{115 }{\sqrt{100} }[/tex]

=>   [tex]E = 29.67 [/tex]

Generally 99% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]433 -29.67 <  \mu < 433 + 29.67[/tex]    

=>    [tex] 403.33 <  \mu < 462.67 [/tex]  

Answer:

[tex]d = 5\sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(-20-(-35))^2+(15-25)^2}[/tex]

[tex]d = \sqrt{(-20+35)^2+(-10)^2}[/tex]

[tex]d = \sqrt{(15)^2+100}[/tex]

[tex]d = \sqrt{225+100}[/tex]

[tex]d = \sqrt{325}[/tex]

[tex]d = 5\sqrt{13}[/tex]

hahahaha wht? lol sry im stupid tbh

1 mile = 5,280 feet.

60 miles x 5,280 = 316,800 total feet.

1 hour = 3,600 seconds.

316,800 feet / 3,600 seconds = 88 feet per second.

The answer is 88 ft/s