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3 years ago

8

Kai ling has 4m kg of flour. She bought 2 more packets of flour, each of mass m kg. How much flour does she have now in terms of

m

1 answer:

Murrr4er [49]3 years ago

7 0

Originally she had = 4m kg.

2 more, each at m kg = 2*m = 2m

Total = 4m + 2m = 6m

So she has 6m kg of flour now.

Hope this helps.

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The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

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$area = \frac{8}{3}pie ft^2$

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3 years ago

There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction

ehidna [41]

Answer:

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Step-by-step explanation:

Fiction books: (1/6) of 30 books = 5 books

Non-fiction books: (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

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3 years ago

The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36

Charra [1.4K]

9514 1404 393

Answer:

(1, 4)
(2, 8)
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Step-by-step explanation:

The ratios all have ...

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Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

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You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

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Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

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3 years ago

A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9, and the sample stand

yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

<u>Step 1</u>: We state the hypothesis and identify the claim

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<u>Step 2</u>: Calculate the test value.

$t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$

$\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263$

<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).

<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.

<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for $\alpha=0.05$ and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

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4 years ago

What is a rational and irrational number?

KIM [24]

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

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Step-by-step explanation:

hope it helps :)))

8 0

3 years ago