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umka2103 [35]
3 years ago
5

25% of all vehicles sold at the dealership were trucks, If 32 trucks were sold, how many vehicles were sold?​

Mathematics
2 answers:
SpyIntel [72]3 years ago
6 0

Answer:

128

Step-by-step explanation:

Since 25% of the the vehicles were trucks, That would leave 75% left. You would have to multiply 32 by 4 to get the total amount of vehicles sold at the dealership.

SpyIntel [72]3 years ago
4 0

Answer:

128 vehicles

Step-by-step explanation:

32 trucks being 25 % or 1/4 of the vehicles, you simply mulitply 32 x 4=128

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If f Superscript negative 1 Baseline (x) = negative one-fifth x, what is f Superscript negative 1 Baseline (x) = one-fifth x?
Artyom0805 [142]

Answer:

  a different inverse function

Step-by-step explanation:

If f^{-1}(x)=-\frac{1}{5}x then f^{-1}(x)=\frac{1}{5}x is a different inverse function.

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The second (inverse) function is the first reflected over the y-axis.

5 0
3 years ago
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Lucy’s savings account has 35% more money than her sister Edy’s. Together, the girls have saved a total of $206.80. How much mon
kramer
Let Edy's money be x.

Lucy: 35% more --- (135/100) x

x + (135/100) x = 206.80
(47/20)x = 206.80
47x = 206.8 x 20
47x =4136
x = 88

Edy saved $88.
Lucy saved (135/100)(88) = $118.80
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3 years ago
Student Produced Response - Calculator
faltersainse [42]

Answer:

\dfrac{a}{b}=0.75.

Step-by-step explanation:

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has infinitely many solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

The given equations are

ax+by=10

3x+4y=20

It is given that the above system of equations has infinitely many solutions. So,

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}

\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}

Now,

\dfrac{a}{3}=\dfrac{1}{2} and \dfrac{b}{4}=\dfrac{1}{2}

a=\dfrac{3}{2} and b=\dfrac{4}{2}

a=1.5 and b=2

So, a=1.5 and b=2.

Now,

\dfrac{a}{b}=\dfrac{1.5}{2}=0.75

Therefore, \dfrac{a}{b}=0.75.

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3 years ago
Eighteen more than the number n is 125.what is the value of n​
Drupady [299]

Answer: 107

Step-by-step explanation:

6 0
3 years ago
The American Water Works Association reports that the per capita water use in a single-family home is 63 gallons per day. Legacy
Debora [2.8K]

Answer:

t=\frac{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

df=n-1=28-1=27  

p_v =P(t_{(27)}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=60 represent the sample mean

s=8.9 represent the sample standard deviation

n=28 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 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 check if the true mean is less than 63, the system of hypothesis would be:  

Null hypothesis:\mu \geq 63  

Alternative hypothesis:\mu < 63  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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{60-63}{\frac{8.9}{\sqrt{28}}}=-1.784    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=28-1=27  

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

p_v =P(t_{(27)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is less than 63 gallons per day at 1% of signficance.  

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