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3 years ago

14

A wheel barrow can carry up to 300 pounds of weight. A bag of soil wieghs 20 pounds. Write and solve an inequality to respresent

the number of bags of soil the wheelbarrow can carry.

1 answer:

Alik [6]3 years ago

8 0

Let x= the number of bags of soil

20x(less than or equal to sign) 300

divide both sides by 20 and you get x is less than or equal to 15

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(8.18x10^-6)(1.15x10^-5)

ladessa [460]

Answer:

9.407x10-11

Step-by-step explanation:

8.18(9.407x(10)−11)10−6(1.15(9.407x(10)−11)10−5)

8.18(9.407x(10)−11)10−6(1.15(9.407x(10)−11)10−5)

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3 years ago

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6y^2-25y+14 factor <br><br> Help please

LUCKY_DIMON [66]

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

= (3y - 2)(2y - 7) ← in factored form

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3 years ago

Phil has 19 other students in his math class. During class one day, the teacher asks for a volunteer to come up to the board. If

Stolb23 [73]

Answer:

1/20

Step-by-step explanation:

if you do all kids there is 20. you have a 1 out of 20 people change so plz give brainest answer

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3 years ago

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if angle 1 and angle 2 form a linear pair. if m<1=5x+9 and m<2=3x+11, find the measure of both angles

Ulleksa [173]

Answer: $m\angle 1=109\°\\m\angle 2=71\°$

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles $\angle1$ and $\angle2$ are supplementary, which means that they add up to 180 degrees.

So, knowing that:

$m\angle 1=5x+9\\m\angle 2=3x+11$

We can write the following expression and solve for "x":

$(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20$

Therefore, substituting, we get that the measures of the angles $\angle1$ and $\angle2$ are:

$m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°$

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3 years ago

A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200

kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$ = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

( 10 ±4 )

( 10 -4 , 10+4)

( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

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3 years ago