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4 years ago

9

Carl is boarding a plane. He has 2kg checked bags of equal weight and a backpack that weighs 4kg. The total weight of Carl's bag

gage is 35kg. Write an equation to determine the weight, w of each of Carl's checked bags.

1 answer:

crimeas [40]4 years ago

4 0

(35-4)÷2
Hope this helps

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Forty percent of the players on a soccer team are experienced players. The coach wants to increase this percent. There are 10 pl

Anna35 [415]

Part A:

Given that forty percent of the players on a soccer team are experienced players.

Then, the o<span>riginal ratio of experienced to total players is given by 40/100 = 4/10

Part B:

Given that t</span><span>he expression $\frac{100(x+4)}{x+10}$ represents the percent of experienced players on the team after the coach adds x experienced players.

Then, the </span>f<span>inal ratio of experienced to total players is given by:

$\frac{\frac{100(x+4)}{x+10}}{100} =\frac{x+4}{x+10}$

Part C:

Given that </span>t<span>here are 10 players on the team now, and that </span><span>the coach adds x experienced player, then the number of players on the team now is given by:

10 + x.</span>

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3 years ago

Effectus [21]

The ratio of object to shadow is 3 ft object/1.5 ft shadow.
x ft object = 18.65 ft shadow
So you would multiply 18.65 by 1.5/3, which equals 9.325ft.

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3 years ago

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Genrish500 [490]

Develop a passion for learning. If you do, you will never cease to grow.

7 0

3 years ago

A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A sma

MaRussiya [10]

Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

<em>n</em> = 100

<em>X</em> = number of irregular t-shirts = 12

Compute the sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{12}{100}=0.12$

Compute the test statistic as follows:

$t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}$

$=\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474$

Thus, the test statistic value is 1.474.

4 0

3 years ago

Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.

Levart [38]

Answer:

a) Q(-2,1) is false

b) Q(-5,2) is false

c)Q(3,8) is true

d)Q(9,10) is true

Step-by-step explanation:

Given data is $Q(x,y)$ is predicate that $x$ then $x^{2}$ . where $x,y$ are rational numbers.

a)

when $x=-2, y=1$

Here $-2$ that is $x$ satisfied. Then

$(-2)^{2}$

$4$ this is wrong. since $4>1$

That is $x^{2}$ $>y^{2}$ Thus $Q(x,y)$ $=Q(-2,1)$ is false.

b)

Assume $Q(x,y)=Q(-5,2)$ .

That is $x=-5, y=2$

Here $-5$ that is $x$ this condition is satisfied.

Then

$(-5)^{2}$

$25$ this is not true. since $25>4$ .

This is similar to the truth value of part (a).

Since in both $x$ satisfied and $x^{2} >y^{2}$ for both the points.

c)

if $Q(x,y)=Q(3,8)$ that is $x=3$ and $y=8$

Here $3$ this satisfies the condition $x$ .

Then $3^{2}$

$9$ This also satisfies the condition $x^{2}$ .

Hence $Q(3,8)$ exists and it is true.

d)

Assume $Q(x,y)=Q(9,10)$

Here $9$ satisfies the condition $x$

Then $9^{2}$

$81$ satisfies the condition $x^{2}$ .

Thus, $Q(9,10)$ point exists and it is true. This satisfies the same values as in part (c)

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3 years ago