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damaskus [11]
3 years ago
7

Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $

2 per chore. Write an expression for how much their parents give Steven and Jill for each week if they do the same number of chores.
Mathematics
2 answers:
olasank [31]3 years ago
8 0

Answer:

23

Step-by-step explanation:

GrogVix [38]3 years ago
5 0

Answer:

23

Step-by-step explanation:

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Hector deposited $90 in a savings account earning 10% interest, compounded annually. to the nearest cent how much interest will
Tcecarenko [31]

Answer:

$117

Step-by-step explanation:

$90*10= $9

1 year is $9 interest, which is increase.

$9*3=$27

So than you add $27 and $90 and get $117

8 0
3 years ago
Using the curve of best fit, what would be the output (y) when the input (x) is 7?
IrinaVladis [17]

Answer:

y = 260

Step-by-step explanation:

locate x = 7 on the x- axis, go vertically up to meet the graph at (7, 260 )

when input is 7 then output y = 260

4 0
2 years ago
R is between Q and S. if RS = 44.6 and SQ = 68.4, find QR
Igoryamba
QR IS 23.8! Just subtract 68.4-44.6. The answer is right because 44.6+23.8=68.4
4 0
3 years ago
Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex
bagirrra123 [75]

Answer:

z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

p_v =P(z>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

\hat p=0.021 estimated proportion of interest

p_o=0.012 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

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 true proportions is higher than 0.012.:  

Null hypothesis:p \leq 0.012  

Alternative hypothesis:p > 0.012  

When we conduct a proportion test we need to use the z statisitic, 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.

Calculate the statistic  

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

z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about 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 \alpha=0.01. The next step would be calculate the p value for this test.  

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

p_v =P(z>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

3 0
3 years ago
Find the six first terms of an arithmetic sequence with:<br> d = 2<br> Po= 30
alexgriva [62]

Answer:

The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40

Step-by-step explanation:

The nth term of an arithmetic sequence is given by:

P_n = P_0 + nd

In which d is the common difference, that is, each term is increased by d.

d = 2, Po= 30

First term is 30, each consecutive is increased by 2. So

30, 32, 34, 36, 38, 40

7 0
3 years ago
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