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Anon25 [30]
3 years ago
15

Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each

weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.

Which expression represents the total number of pounds Nathan lifted?
Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0

Answer:pleas don’t report me I need to do an awser so I can look up more awsers I’m in a edgenuity test right now, pleas don’t report this

Step-by-step explanation:

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1)What are the first five terms of the sequence given by the formula an=4n+1 ?
koban [17]

Answer:1) c. 5,9,13,17,21

2)  a. a1=8, an=an-1 -2

Step-by-step explanation: 1) an=4n+1

    ⇒ a1=4×1+1=5

         a2=4×2+1=9

          a3=4×3+1=13

          a4=4×4+1=17

           a5=4×5+1=21

2) clearly a1=8 and then the terms of series are decreasing by 2

so, an=an-1 -2

4 0
2 years ago
Read 2 more answers
It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha 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 determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

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

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
2 years ago
HELP!!! A plumber charges a fee of $25 plus $30 per hour on the job. Make a table of values for the total charge depending on th
Effectus [21]

Answer:

Yes, this function can be defined by linear model.

Step-by-step explanation:

\mathrm{Total\:=\:Fixed\:Fee\:+\:Hourly\:Rate\:\times Number\:of\:hours}

\mathrm{Linear:}\:\:T=\:$25+30h

Best Regards!

3 0
3 years ago
PLEASE HELP!! I WILL MARK BRAINLIST
marishachu [46]

Answer:

m∠5 = 44°; m∠7 = 44°

Step-by-step explanation:

Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.

Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).

So Angle 1's measure is 44 degrees.

According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°

According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.

So m∠7 = 44°

6 0
2 years ago
Need help with this geometry
Rasek [7]

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = \frac{1}{2} GK , substitute values

2y = \frac{1}{2} (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

3 0
2 years ago
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