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valkas [14]
3 years ago
5

Simplify. Round to the nearest tenth. 5.4% of 65 *

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0

Answer:

65 times 5.4 divided by 100

351/100

3.51

3.5

Pie3 years ago
3 0

Answer:

3.5

Step-by-step explanation:

1. 5.4% X 65

2. 5.4/100 x 65

3. 0.054 x 65

Answer =3.5

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What is the distance between points S and U if S is 2, 1 and U is 6, 8
balandron [24]

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

4 0
3 years ago
Read 2 more answers
A consumer testing service tested whether the average baking time of whole wheat bread in gas ovens was less than the average ba
vichka [17]

Answer:

Part 1) The explanatory variable is the type of oven

It is a categorical variable

Part 2) The response variable is the baking time

It is a quantitative variable

part 3) two-sample z-test for proportions should be used for the test

Step-by-step explanation:

An explanatory variable is an independent variable that is not affected by all other variables. In this experiment, the type of oven is the input variable and it  is not affected by any other variable

A categorical variable is one that has two or more categories without any intrinsic ordering of the categories. The type of oven is either gas or electric, so it is categorical.

A response variable is a dependent variable whose variation depends on other variables. The baking time in this experiment depends on the type of oven used

A quantitative variable is one that take on numerical values.

A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same. The alternate hypothesis (H1) is that the proportions are not the same.

5 0
3 years ago
B) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
kenny6666 [7]

Answer:

\boxed{ \boxed{ \sf {Marked \: price \:  = Rs \: 1500}}}

\boxed{ \bold{ \boxed{ \sf{Selling \: price =  \: Rs \: 1230}}}}

Step-by-step explanation:

Let Cost price ( C.P ) be x

<u>Finding </u><u>the </u><u>Marked </u><u>price </u><u>and </u><u>selling </u><u>price </u>

Marked price = \sf{x + 20\% \: of \: x}

⇒\sf{x +  \frac{20}{100}  \times x}

⇒\sf{ \frac{x \times 100 + 20x}{100} }

⇒\sf{ \frac{120x}{100} } ⇒ ( i )

Selling price = \sf{marked \: price \:  - 18\% \: of \: marked \: price}

⇒\sf{ \frac{120x}{100} -  \frac{18}{100}  \times  \frac{120x}{100} }

⇒\sf{ \frac{120x}{100}  -  \frac{54x}{250} }

⇒\sf{ \frac{120x \times 5 - 54x \times 2}{500} }

⇒\sf{ \frac{600x - 108x}{500} }

⇒\sf{ \frac{492x}{500} } ⇒ ( ii )

<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x </u><u>(</u><u> </u><u>Cost </u><u>price </u><u>)</u>

\sf{loss = cost \: price - selling \: price}

⇒\sf{20 = x -  \frac{492x}{500} }

⇒\sf{20  =  \frac{x \times 500 - 492x}{500} }

⇒\sf{20 =  \frac{8x}{500} }

⇒\sf{8x = 10000}

⇒\sf{x =  \frac{10000}{8} }

⇒\sf{x = \: Rs \:  1250}

Value of x ( cost price ) = Rs 1250

<u>Now</u><u>,</u><u> </u><u>Replacing </u><u>the </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>i </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>marked </u><u>price</u>

\sf{marked \: price =  \frac{120x}{100} }

⇒\sf{ \frac{120 \times 1250}{100} }

⇒\sf{   \: Rs \: 1500}

<u>Replacing </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>ii </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>selling </u><u>price</u>

\sf{selling \: price =  \frac{492 \: x}{500} }

⇒\sf{ \frac{615000}{500} }

⇒\sf{ \: Rs \: 1230}

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

6 0
4 years ago
Factor completely 50a2b5 − 35a4b3 + 5a3b4
Andreyy89

The complete factorisation of 50a²b⁵ − 35a⁴b³ + 5a³b⁴ is 5a²b³(10b² - 7a² + ab)

<h3>How to factorise?</h3>

Factorisation is the process of writing an expression as a product of two or more common factors.

The expression is written as a product of several factor.

Therefore,

50a²b⁵ − 35a⁴b³ + 5a³b⁴

Hence, the complete factorisation is as follows;

5a²b³(10b² - 7a² + ab)

learn more on factorisation here: brainly.com/question/2272501

#SPJ1

7 0
2 years ago
Find x, y, and z:<br><br><br><br> x = <br><br> y = <br><br> z =
Ivanshal [37]

Answer:

x=81 degrees

y=132 degrees

z=60 degrees

5 0
3 years ago
Read 2 more answers
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