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natali 33 [55]
3 years ago
10

The next model of a sports car will cost 14.4% less than the current model. The current model costs $53,000. How much

Mathematics
2 answers:
olganol [36]3 years ago
6 0

Answer:

$7,632, $45,368

Step-by-step explanation:

Decrease in price: 53,000(0.144) = $7,632

New price: $53,000 - $7,632 = $45,368

DochEvi [55]3 years ago
5 0

Answer:

its 28,000

Step-by-step explanation:

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bekas [8.4K]
A) 2 and 7
B) 2 and 6
C)6 and 3
7 0
3 years ago
Which number produces an irrational number when multiplied by 2/5?
Ganezh [65]

Answer: The correct option is (D) pie.

Step-by-step explanation:  We are to select the correct number that produces an irrational number when multiplied by pie.

We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.

Give number is 2/5, which is rational. So the other number must be irrational.

Out of the given options, first three numbers are rational.

Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.

So, the product will be irrational, if the other number is pie.

Thus, the correct option is (D).

5 0
3 years ago
Simplify: ( 6 to the second power minius 7 times 3 ) + 3 cubed
Tju [1.3M]

Answer:

42

Step-by-step explanation:

6 to the second power minius 7 times 3 is 15 then with is cubed it would be 42

5 0
3 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
DochEvi [55]
1. Find the surface area of the rectangular prism. (1 point) 
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>

<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>

<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>


<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>

<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>


<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
4 0
3 years ago
Read 2 more answers
The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales
andrezito [222]

Answer:

t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657    

p_v =P(t_{(39)}>6.657)=3.17x10^{-8}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=44 represent the sample mean

s=1.9 represent the sample standard deviation

n=40 sample size  

\mu_o =42 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 mean is higher than 42, the system of hypothesis would be:  

Null hypothesis:\mu \leq 42  

Alternative hypothesis:\mu > 42  

If we analyze the size for the sample is > 30 but 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{44-42}{\frac{1.9}{\sqrt{40}}}=6.657    

P-value

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

df=n-1=40-1=39  

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

p_v =P(t_{(39)}>6.657)=3.17x10^{-8}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.  

3 0
3 years ago
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