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andre [41]
3 years ago
11

The graphs of f(x) and g(x) are shown below:

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

Answer:

-3.8, 3

Step-by-step explanation:

The solution to a system is where the graph cross each other.  If you look to where they intersect to the left of the origin, where x is negative, it appears that they intersect ALMOST at -4, but not quite.  So -3.8 is going to have to do since we don't have the equations of either graph to find the exact values of x.  To the right of the origin, where x is positive, the graphs cross where x = 3..

STALIN [3.7K]3 years ago
5 0

Answer:

  x = −3.8, 3

Step-by-step explanation:

The solutions to f(x) = g(x) are the x-coordinates of the points of intersection of their graphs. Those x-values appear to be about -3.8 and +3.

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An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and
Maslowich

Answer:

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

p_v =2*P(t_{26}>2.108)=0.0448

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

Step-by-step explanation:

Data given and notation

\bar X_{Visa}=66970 represent the mean for Visa

\bar X_{Mastercard}=59060 represent the mean for the sample Mastercard

s_{Visa}=9500 represent the population standard deviation for Visa

s_{Mastercard}=10000 represent the population standard deviation for Mastercard

n_{Visa}=11 sample size for the group Visa

n_{Mastercard}=17 sample size for the group Mastercard

t would represent the statistic (variable of interest)

\alpha=0.1 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

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:

z=\frac{\bar X_{Visa}-\bar X_{Masterdcard}}{\sqrt{\frac{s^2_{Visa}}{n_{Visa}}+\frac{s^2_{Mastercard}}{n_{Mastercard}}}} (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.

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{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

What is the p-value for this hypothesis test?

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

df= n_{Visa}+n_{Mastercard}-2 = 11+17-2= 26

Since is a bilateral test the p value would be:

p_v =2*P(t_{26}>2.108)=0.0448

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

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

4 0
3 years ago
What is the solution to this question?<br><br> 5x + 3 = 2x - 6<br><br> X= ?
astraxan [27]

Answer:

Step-by-step explanation:

5x + 3 = 2x - 6

3x + 3 = -6

3x = -9

x = -3

4 0
3 years ago
Find the surface area of the composite figure​
Gnoma [55]

Answer:

=280 in^2

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

2*10=20+20=40

4*10=40+40=80

4*2=8+8=16

40+80+16=136

The surface area for the pink rectangular prism is 136 in^2.

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

4*7=28+28=56

4*7=28+28=56

4*4=16+16=32

56+56+32=144

The surface area for the green rectangular prism is 144 in^2.

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

136+144=

=280 in^2

----------------------------------------

Hope this is helpful.

6 0
3 years ago
Read 2 more answers
What equality is shown here on the number above?​
grigory [225]

Answer:

the equality shown is : x is greater than or equal to -3.

6 0
3 years ago
Students in a class have to choose 4 out of 7 people who were nominated for the student council. How many different groups of st
Lady_Fox [76]

Answer:

35

Step-by-step explanation:

3 0
3 years ago
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