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Mekhanik [1.2K]
2 years ago
10

Fill in the Blanks

Mathematics
2 answers:
tatyana61 [14]2 years ago
7 0

Answer: This would fill 4 and 4/9 containers.

Explanation:

Since we have given that

Quantity of walnuts in a container is given by

6\frac{2}{3}=\frac{20}{3}\ pounds

Quantity of walnuts which divided equally into containers is given by

1\frac{1}{2}=\frac{3}{2}\ pounds

Now, number of containers they would fill is given by

\frac{\frac{20}{3}}{\frac{3}{2}}=\frac{20\times 2}{3\times 3}=\frac{40}{9}

When we change it into mixed fractions we get,

\frac{40}{9}=4\frac{4}{9}

So, blank will be filled with '4'.


Mama L [17]2 years ago
3 0

Answer:

84

Step-by-step explanation:

5

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SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council
fgiga [73]

Answer:

0.91517

Step-by-step explanation:

Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.

Let A - the event passing in SAT with atleast 1500

B - getting award i.e getting atleast 1350

Required probability = P(B/A)

= P(X>1500)/P(X>1350)

X is N (1100, 200)

Corresponding Z score = \frac{x-1100}{200}

P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517

4 0
3 years ago
Your load is a container full of water. The container measures
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Answer:

1282kg

Step-by-step explanation:

1.0*1.12*1.1=1.232 tonnes

50kg + 1232kg = 1282kg

Hope this helps :)

7 0
2 years ago
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What is the following quotient? ^3 square root 60 over ^3 square root of 20
ohaa [14]
The answer is the first one
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2 years ago
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The clothing club sold 40 pants and shirts at a new store and made $700 from the sales. They charged $18 for each pants and $14
hoa [83]

Answer: The system of equations represents the constraints in this situation are:

s + h = 40

$18s + $14h = $700

The above equations are known as simultaneous equations. 40 scarves and hats were sold, this can be represented with this equation:

number of hats sold + number of scarves sold = 40

s + h = 40

The total amount made from the sales is the sum of the total amount made from the sale of the hats and the total amount made from the sale of the scarves. This can be represented with this equation:

($18 x s) + ($14 x h)  = $700

Step-by-step explanation:

3 0
2 years ago
A rectangle is transformed according to the rule R0, 90º. The image of the rectangle has vertices located at R'(–4, 4), S'(–4, 1
zalisa [80]
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:

R_0, \ 90^{\circ}

We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:

1. Clockwise

In this case, the rule to transform a point is:

(x,y) \rightarrow (y,-x)

This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:

For \ Q(-3,4): \\ \\ (y,-x)=(-3,4) \\ \\ \therefore y=-3 \ and \ -x=4 \therefore x=-4 \\ \\ Thus, \ the \ point \ is: \\ \\ \boxed{Q(-4,-3)}

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Applying the same previous concept but with the new rules for this case:

(x,y) \rightarrow (-y,x)

By reversing the answer, we have:

For \ Q(-3,4): \\ \\ (-y,x)=(-3,4) \\ \\ \therefore -y=-3 \therefore y=3 \ and \ x=4 \\ \\ Thus, \ the \ point \ is: \\ \\ \boxed{Q(4,3)}

3 0
3 years ago
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