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barxatty [35]
2 years ago
6

Felicia invested money at an interest rate of 4%. After six months, she had earned $90.00 interest. How much money did Felicia i

nvest?
I = prt
90 = p(0.04)(0.5)
90 = p(0.02)
p = _________ dollars
Mathematics
2 answers:
WARRIOR [948]2 years ago
8 0
The formula is
I=prt
I interest earned 90
P amount invested? 
R interest rate 0.04
T time 6/12
Solve the formula for p
P=I÷rt
P=90÷(0.04×(6÷12))
P=4,500 ....answer
Paul [167]2 years ago
4 0

Answer:

The formula is

I=prt

I interest earned 90

P amount invested?

R interest rate 0.04

T time 6/12

Solve the formula for p

P=I÷rt

P=90÷(0.04×(6÷12))

P=4,500 ....answer

Step-by-step explanation:

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Enter the values for a, b, and c in the factored form.<br> P(x) = (x – 5)(ax2 + bx + c)
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Ax^3 - 5ax^2 + 5bx + cx -5c
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1 year ago
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Before a new video game is released, it is tested by a number of volunteer gamers. During testing, the experimental probability
sesenic [268]

Answer:

2000 players will complete the game with a perfect score.

Step-by-step explanation:

The testing phase tells us that \frac{1}{500} is the probability that a person will finish with a perfect score.

This means 1 out of 500 people will be able to finish with perfect score.

Now,

the game is given to 1,000,000 (1 million) people and how much do we expect to finish with perfect score?? Simple! It would be  \frac{1}{500}the of 1 million!

We do the calculation shown below:

\frac{1}{500}*1,000,000=2000

So, 2000 players will complete the game with a perfect score.

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2 years ago
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A member of a student team playing an interactive marketing game received the fol- lowing computer output when studying the rela
nirvana33 [79]

Answer:

p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91

So on this case for the significance level assumed \alpha=0.05 we see that p_v >\alpha so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

Step-by-step explanation:

Let's suppose that we have the following linear model:

y= \beta_o +\beta_1 X

Where Y is the dependent variable and X the independent variable. \beta_0 represent the intercept and \beta_1 the slope.  

In order to estimate the coefficients \beta_0 ,\beta_1 we can use least squares procedure.  

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_1 = 0

Alternative hypothesis: \beta_1 \neq 0

Or in other words we want to check is our slope is significant (X have an effect in the Y variable )

In order to conduct this test we are assuming the following conditions:

a) We have linear relationship between Y and X

b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable

c) We assume that the Y values are independent and the distribution of Y is normal  

The significance level assumed on this case is \alpha=0.05

The standard error for the slope is given by this formula:

SE_{\beta_1}=\frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}

Th degrees of freedom for a linear regression is given by df=n-2 since we need to estimate the value for the slope and the intercept.  

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_1}{SE_{\beta_1}}

The p value on this case would be given by:

p_v = 2*P(t_{n-2} > |t_{calc}|)= 0.91

So on this case for the significance level assumed \alpha=0.05 we see that p_v >\alpha so then we can conclude that the result is NOT significant. And we don't have enough evidence to reject the null hypothesis.

So on this case is not appropiate say that :"the more we spend on advertising this product, the fewer units we sell" since the slope for this case is not significant.

3 0
2 years ago
If x is the midpoint of ZW, then ZX=XW
sasho [114]

Answer:

True.

Step-by-step explanation:

By definition of a mid point, it is located in the middle of two connected points. This means that the split is equal on both sides.

IF X is the midpoint of ZW, then ZX = XW.

~

4 0
1 year ago
In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point o
Sergeu [11.5K]

Answer:

arc\ JM=132^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o ----> by complete circle

substitute the given values

(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o

solve for x

(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10

step 2

Find the measure of arc JM

arc\ JM=(13x+2)^o

substitute the value of x

arc\ JM=(13(10)+2)^o=132^o

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