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3 years ago

Which property is shown by –8 • (4 + 3) = –8 • 4 + –8 • 3?

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

–8 • (4 + 3) = –8 • 4 + –8 • 3

answer

• Distributive Property

sashaice [31]3 years ago

6 0

The equation is the same just mixed , so your answer will be Distributive property

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A car travels 120 miles on 2 gallons of gas. How far does the car travel on 1 gallon of gas? *

mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

120/2=60 or 60x2=120

6 0

3 years ago

Read 2 more answers

Morgan begins biking south to the park at 20mph at noon. Corona leaves from the same point 15 min (.25hr) later to catch her. Ho

garri49 [273]

Answer:

X = 1h15mins

Step-by-step explanation:

Rate Time Distance

Morgan 20 X 20X

Corona 25 X – ¼ 25(X – ¼)

If they meet each other, they need to travle the same distance, mean :

20X = 25(X – ¼)

X = 1.25

1 hour and 15 minutes

6 0

4 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 $\alpha=1-confidence=1-0.99=0.01$

6 0

3 years ago

Can someone help me with this plz I am so confused??

ruslelena [56]

F= -1 2/3 or 5/3

In order to find the answer all you have to do is multiply both sides by -4/3.

-3/4f × -4/3 = f

-4/3 × 5/4 = -20/12

-20/12 simplified is -5/3 or -1 2/3

6 0

3 years ago

Read 2 more answers

An investment of $5,000 is made at a simple annual interest rate of 3%. How much additional money must be invested at a simple a

liubo4ka [24]

Answer: Additional money is $6250.

Step-by-step explanation:

Since we have given that

Amount of investment = $5000

Rate of simple interest = 3%

Let the additional amount of investment be 'x'.

Rate of simple interest = 3.9%

Total annual interest rate on total investment = 3.5%

So, According to question, it would be

$5000\times 0.03+x\times 0.039=(5000+x)\times 0.035\\\\150+0.039x=175+0.035x\\\\0.039x-0.035x=175-150\\\\0.004x=25\\\\x=\dfrac{25}{0.004}\\\\x=\$6250$

Hence, Additional money is $6250.

3 0

3 years ago