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3 years ago

Please help I don’t get this at all

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

Answer:

11.82 kilometers in Luis's journey in total

Step-by-step explanation:

As per the statement:

To visit his grandmother

Distance Luis takes a train 6.37 kilometers

Distance Luis takes a car 5.45 kilometers.

We have to find the total distance.

$\text{Total distance} = \text{distance by train}+\text{distance by car}$

Substitute the given values we have;

$\text{Total distance Lui's journey} = 6.37+5.45 = 11.82$ km

Therefore, 11.82 kilometers in Luis's journey in total

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The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1.

Natasha2012 [34]

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 = 2

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PR = PQ + QR

PR = 8 + 4

PR = 12

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3 years ago

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Zuri goes to a store where every item is on sale for 30% off the original price. If x represents the original price of one item,

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Answer:

.3x - x

Example

My item is $100

.3(100) - $100

$30 - $100 = $70

$70 is the new price

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3 years ago

In a recent year, a poll asked 2362 random adult citizens of a large country how they rated economic conditions. In the poll,

Harman [31]

Answer:

a) The 99% confidence interval is given by (0.198;0.242).

b) Based on the p value obtained and using the significance level assumed $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we fail to reject the null hypothesis, and we can said that at 1% of significance the proportion of people who are rated with Excellent/Good economy conditions not differs from 0.24. The interval also confirms the conclusion since 0.24 it's inside of the interval calculated.

c) $\alpha=0.01$

Step-by-step explanation:

Data given and notation

n=2362 represent the random sample taken

X represent the people who says that they would watch one of the television shows.

$\hat p=\frac{X}{n}=0.22$ estimated proportion of people rated as Excellent/Good economic conditions.

$p_o=0.24$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that 24% of people are rated with good economic conditions:

Null hypothesis: $p=0.24$

Alternative hypothesis: $p \neq 0.24$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Part a: Test the hypothesis

Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

np = 2362x0.22=519.64>10 and n(1-p)=2364*(1-0.22)=1843.92>10

Condition satisfied.

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.22 -0.24}{\sqrt{\frac{0.24(1-0.24)}{2362}}}=-2.28$

The confidence interval would be given by:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The critical value using $\alpha=0.01$ and $\alpha/2 =0.005$ would be $z_{\alpha/2}=2.58$ . Replacing the values given we have:

$0.22 - (2.58)\sqrt{\frac{0.22(1-0.22)}{2362}}=0.198$

$0.22 + (2.58)\sqrt{\frac{0.22(1-0.22)}{2362}}=0.242$

So the 99% confidence interval is given by (0.198;0.242).

Part b

Statistical decision 

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided is $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

So based on the p value obtained and using the significance level assumed $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we fail to reject the null hypothesis, and we can said that at 1% of significance the proportion of people who are rated with Excellent/Good economy conditions not differs from 0.24. The interval also confirms the conclusion since 0.24 it's inside of the interval calculated.

Part c

The confidence level assumed was 99%, so then the signficance is given by $\alpha=1-confidence=1-0.99=0.01$

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3 years ago

6 is 12% of what number?

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Answer:

Step-by-step explanation:

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A boutique specializes in leather goods for men. Last month, the company sold 20 wallets and 53 belts, for a total of $3,517. Th

Vlada [557]

Answer:

25 wallets and 53 belts

Step-by-step explanation:

Firstly, we need to represent the amount with variables ( alphabets)

Let the amount charged for a belt be $b and the amount charged for a wallet be $w.

Now, we were told that last month, the company sold 20 wallets and 53 belts for 3,417.

Now if 1 wallet costs $w, 20 wallets would cost $20w

In a likewise manner, if 1 belt costs $b , 53 belts will cost $53b.

Now since we know the total cost of both equals 3,417 , this mean

$20w + $53b = $3,417

First equation.

In likewise manner,

$28w + $97b = $6,041

Second equation

This simply shows we have 2 equations to solve simultaneously.

From equation 1, we can see that

20w = 3,417 - 53b

Equation 2 can also be expressed as:

1.4(20w) + 97b = 6041

We now substitute for 20w in equation 2.

1.4(3,417 - 53b) + 97b = 6041

4783.8 - 74.2b + 97b = 6041

97b - 74.2b = 6041 - 4783.8

22.8b = 1257.2

b = 1257.2/22.8 = apprx 55 belts

20w = 3,417 - 53b

Substitute for b here.

20w = 3417 - 53(55)

20w = 3417 - 2915

20w = 502

w = 502/20 = apprx 25

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3 years ago