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Sati [7]
3 years ago
7

Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much

does each have?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

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A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou
sergejj [24]

Answer:

t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357    

df=n-1=50-1=49  

p_v =P(t_{(49)}  

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

Step-by-step explanation:

Information given

\bar X=2.90 represent the sample mean for the growth

s=0.30 represent the sample standard deviation

n=50 sample size  

\mu_o =3 represent the value to check

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:  

Null hypothesis:\mu \geq 3  

Alternative hypothesis:\mu < 3  

We don't know the population deviation so we can use the t statistic:

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

Replacing the info given we got:

t=\frac{2.9-3}{\frac{0.3}{\sqrt{50}}}=-2.357    

The degrees of freedom are given by:

df=n-1=50-1=49  

The p value for this case would be given by:

p_v =P(t_{(49)}  

Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week

3 0
3 years ago
Find the measure of one interior angle in each regular polygon. Round your to nearest tenth if necessary.
e-lub [12.9K]

The value of the interior angle of the regular polygon is calculated using the formula (n - 2) 180 / n where n is the number of sides of the regular polygon.

<u>Step-by-step explanation:</u>

A regular polygon refers to a multi-sided convex figure where all the sides are equal in length and all the angles have equal degree measures.

The triangle has 3 interior angles of  60  degrees

The square has 4 interior angles of  90  degrees.

The pentagon has 5 interior angles of  108  degrees  .

The formula for the interior angle of a regular polygon is given by,

                            ( n − 2 ) 180  /  n

where n refers to the number of sides.

Triangle : (3 - 2) 180 / 3 = 60 degree.

Square : (4 - 2) 180 / 4 = 90 degree.

Pentagon: (5 - 2) 180 / 5 = 108 degree.

5 0
3 years ago
An anchor 15 m below the surface of the ocean is lowered 4. m. Then it is
Free_Kalibri [48]

Answer:

it 31 for sure but if not that than some thing is wrong

Step-by-step explanation:

15+12+4=31

7 0
3 years ago
Solve For X: 8.47 = 5.5 + X
Bumek [7]

Answer:

x=2.97

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the value of c? 13c−22=−17c+14 Enter your answer in the box. c =
anygoal [31]
13c+17c=14+22
30c=36
c=36÷30
c=6÷5
So c= 6 over 5
5 0
3 years ago
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