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2 years ago

An engine is operating at 25% of its full power. Which number line shows a point that

Mathematics

1 answer:

Zolol [24]2 years ago

7 0

Answer:

$25\%$

Step-by-step explanation:

A percentage is a ratio expressed as a fraction of 100. Percentage is denoted by symbol $\%$ .

This word has been derived from a latin word "per centum" which means by hundred.

Given:An engine is operating at 25% of its full power

To find:number line shows a point that represents 25%

Solution:

Number line shows a point that represents 25% $=\frac{25}{100}=\frac{1}{4}$

So, $\frac{1}{4}$ represents $25\%$

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Your dinner bill is $25 before tax. The tax rate is 8%. You decide to give the waiter 10% tip based on your pre-tax bill. What i

Inessa [10]

Answer:

$29.50

Step-by-step explanation:

First we need to find the tip

tip = pre tax bill * 10 %

tip = 25 * .10

tip =2.5

Next we need to find the tax

tax = pre tax bill * 8%

tax = 25 * .08

tax =2

Final bill = pre tax bill + tax + tip

Final bill = 25 + 2 + 2.5

=29.50

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2 years ago

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The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density

ra1l [238]

The volume of a cylinder is calculated as pi*h*d^2/4, so in this case, V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 gives a value of 2.1464 x 10^-5 kg/mm^3. Usually, density values are given in kg/m^3, so we can convert by multiplying by 1x10^9, which gives a value of 21,464 kg/m^3.

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2 years ago

Divide 6K2 - 15k-5 by 3k

icang [17]

Answer:

Step-by-step explanation:

6k^2

------- = 2k; and:

-15k

------- = -5

-5 cannot be evenly divided by 3k, so there's a remainder instead.

6k^2 - 15k - 5

-------------------- = 2k -5 with remainder -5.

4 0

2 years ago

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In which quadrant is (1/2, -1.8)?

ad-work [718]

Answer:

Quadrant IV

Step-by-step explanation:

Quadrant I = (+ , +)

Quadrant II = (- , +)

Quadrant III = (- , -)

Quadrant IV = (+ , -)

(1/2 , -1.8)

1/2 is +

1.8 is -

(+ , -)

It lies on Quadrant IV

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2 years ago

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In professional basketball games during 2009-2010, when Kobe Bryant of the Los Angeles Lakers shot a pair of free throws, 8 time

ziro4ka [17]

Answer:

Is plausible that the successive throws are independent

Step-by-step explanation:

1) Table with info given

The observed values are given by the following table

__________________________________________________

First shot Made Second shot missed Total

__________________________________________________

Made 152 33 185

Missed 37 8 45

__________________________________________________

Total 189 41 230

2) Calculations and test

We are interested on check independence and for this we need to conduct a chi square test, the next step would be find the expected value:

Null hypothesis: Independence between two successive free throws

Alternative hypothesis: No Independence between two successive free throws

_____________________________________________________

First shot Made Second shot missed

_____________________________________________________

Made 189(185)/230=152.0217 41(185)/230=32.9783

Missed 189(45)/230=36.9783 41(45)/230=8.0217

_____________________________________________________

On this case all the expected values are higher than 5 and the sample size 230 is enough to apply the chi squared test.

3) Calculate the chi square statistic

The statistic for this case is given by:

$\chi_{cal}^2 =\sum \frac{(O_i -E_i)}{E_i}$

Where O represent the observed values and E the expected values. Replacing the values that we got we have this

$\chi_{cal}^2 =\frac{(152-152.0217)^2}{152.0217}+\frac{(33-32.9783)^2}{32.9783}+\frac{(37-36.9783)^2}{36.9783}+\frac{(8-8.0217)^2}{8.0217}=0.000003098+0.00001428+0.00001273+0.0.00005870=0.00008881$

Now with the calculated value we can find the degrees of freedom

$df=(r-1)(c-1)=(2-1)(2-1)=1$ on this case r means the number of rows and c the number of columns.

Now we can calculate the p value

$p_v =P(\chi^2 >0.00008881)=0.9925$

On this case the pvalue is a very large value and that indicates that we can fail to reject the null hypothesis of independence. So is plausible that the successive throws are independent.

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2 years ago