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4 years ago

How to subtract this question 91.49-0.7

2 answers:

7 0

1. Line up the decimals
2. Subtract normally as if there were no decimals
3. Move the decimal directly down.
The answer is 90.79

Ilya [14]4 years ago

4 0

We can start by leaving the 9 in the hundreths place alone as this is not affected. We can then subtract 7 from 4 for the tenths place. This gives -3. As this is a negative number, we need to subtract 1 from the next place (the units) and then take another 3 from the tenths place. This gives us an answer of 90.79 (where both the 9's are unaffected).

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The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households

liq [111]

Answer:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b) 2.70

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

b. 1.85

$p_v =P(Z>1.85)=0.032$

b. 0.03

a. We can reject H(0) in favor of H(a)

Step-by-step explanation:

Data given and notation

$\bar X_{1}=164$ represent the mean for the sample 1

$\bar X_{2}=159$ represent the mean for the sample 2

$\sigma_{1}=12.5$ represent the population standard deviation for the sample 1

$s_{2}=9.25$ represent the population standard deviation for the sample B2

$n_{1}=35$ sample size selected 1

$n_{2}=30$ sample size selected 2

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the expenditure of households in City 1 is more than that of households in City 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{0}\leq 0$

Alternative hypothesis: $\mu_{1}-\mu_{2}>0$

We know the population deviations, so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{(\bar X_{1}-\bar X_{2})-0}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Standard error

The standard error on this case is given by:

$SE=\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}$

Replacing the values that we have we got:

$SE=\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}=2.705$

b. 2.70

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{(164-159)-0}{\sqrt{\frac{12.5^2}{35}+\frac{9.25^2}{30}}}=1.850$

P-value

Since is a one side right tailed test the p value would be:

$p_v =P(Z>1.85)=0.032$

b. 0.03

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

a. We can reject H(0) in favor of H(a)

4 0

3 years ago

A lab technician is dividing a cell that has a diameter of 4.32×10^-4 millimeters. Each of the new cells has a diameter measurin

RideAnS [48]

Answer:

$2.16 \times {10}^{ - 4}$

Step-by-step explanation:

The lab technician is dividing a cell that has a diameter of

$4 .32 \times {10}^{ - 4}$

The new cells has a diameter that is half of the diameter of the original cell.

The diameter of the new cell is given as:

$\frac{4.32 \times {10}^{ - 4} }{2}$

Rewrite the numerator in standard notation:

$\frac{0.000432}{2}$

$= 0.00216$

We rewrite in scientific notation to obtain:

$2.16 \times {10}^{ - 4}$

3 0

4 years ago

Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride

Sati [7]

Answer:

36 passengers

Step-by-step explanation:

Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.

Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.

If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.

In 20 minutes, they can load

1.8 passengers/minute * 20 minutes = 36 passengers

3 0

3 years ago

Delicious bakeshop sells a ratio of 3 powdered donuts to 5 glazed donuts. Which of the follow represents the ratio of powdered d

kolezko [41]

Answer:

21 to 35

Step-by-step explanation

I aced the test

3 0

3 years ago

Read 2 more answers

In un trapezio rettangolo la base minore, il lato obliquo e l'altezza misurano rispettivamente 60 cm. 95 cm è 76 cm. Calcola il

KengaRu [80]

Answer:

$2p=348 cm\: S=6726 cm^{2}$

Step-by-step explanation:

Ciao, come stai?

1) Per prima cosa, dobbiamo trovare la misura della base più grande. Scomponendo la figura possiamo visualizzare un triangolo e un quadrato. Ci sono somiglianze con gli angoli. Quindi è un triangolo rettangolo. Applichiamo il teorema di Pitagora:

$a^2=b^2+c^2\\95^2=b^2+76^2\\57=b$

2) Perimetro:

$2p=60+57+76+60+95\\2p=348 cm$

3) L' area

$\frac{(B+b)h}{2} =\frac{(117+60)76}{2} =6726 \:cm^{2}$

8 0

4 years ago