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tia_tia [17]
3 years ago
13

A two digit number when read from left to right to right consiststs of consecutive integers. the nmber is six more than for time

s the sum of its digits
Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

12,23,34,45,56,67,78,89

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.

\text{Number: } 12,\ \ 4\times \text{sum of digits: } 12\ \ \text{plus six: } 18\neq 12

\text{Number: } 23,\ \ 4\times \text{sum of digits: } 24\ \ \text{plus six: } 30\neq 23

\text{Number: } 34,\ \ 4\times \text{sum of digits: } 28\ \ \text{plus six: } 34

So, the answer is 34.

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A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is
scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

\bar X_{1}=360000 represent the mean for the downtown restaurant

\bar X_{2}=340000 represent the mean for the freeway restaurant

s_{1}=50000 represent the sample standard deviation for downtown

s_{2}=40000 represent the sample standard deviation for the freeway

n_{1}=36 sample size for the downtown restaurant

n_{2}=36 sample size for the freeway restaurant

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis:\mu_{1}\leq \mu_{2}

Alternative hypothesis:\mu_{1} > \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^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.

Determine the critical value.

Based on the significance level\alpha=0.05 and \alpha/2=0.025 we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is t_{1-\alpha/2}=1.66

Calculate the value of the test statistic for this hypothesis testing.

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

t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874

What is the p-value for this hypothesis test?

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

p_v =P(t_{70}>1.874)=0.033

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0
3 years ago
Calculate the unit rate:<br>write your answer as a decimal <br><br>1/2 mile in ever 1/3 hour​
Alexandra [31]

Answer:

unit \: rate =  \frac{distance}{time}

unit rate is similar to speed / velocity:

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[<em>unit</em><em> </em><em>rate</em><em> </em><em>must</em><em> </em><em>have</em><em> </em><em>units</em><em> </em><em>including</em><em> </em><em>per</em><em> </em><em><</em><em>time</em><em>></em><em> </em>]

7 0
2 years ago
How do I explain why anything with a power of 0 must equal one for the pattern “a0” to work
Lapatulllka [165]

Answer:

I give you an  example

the formula said x^m/x^n= x ^(m-n)

if m=n

x^m/x^m=1

but x^(m-m)=x^0=1

Step-by-step explanation:

3 0
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What fraction is equivalent to 8/15<br><br> i have a whole page of this to do please help
OverLord2011 [107]

Answer:

16/30 can be equivalent

Step-by-step explanation:

you can basically multiply both sides by any number to get an equivalent fraction I hope this helps you :)

7 0
3 years ago
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Your savings account pays 2.5% interest per year. How much interest does the account pay per month.
Mkey [24]

Answer:

0.21%

Step-by-step explanation:

2.5/12=0.208 or 0.21

3 0
3 years ago
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