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3 years ago

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Mark wants to use a grid to model the percent equivalent of the fraction 2/3. How many grid squares should be shade? What percen

t would his model show?

2 answers:

Mekhanik [1.2K]3 years ago

7 0

He should use a 3x3 grid, so 9 squares in total. Mark should then shade in 6 of those 9 boxes. 6/9 = 2/3. He would have shaded in 66.666666% roughly.

natka813 [3]3 years ago

6 0

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of $\frac{2}{3}$ .

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to $\frac{2}{3}$ i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As, $\frac{2}{3} =0.6667$

i.e. $\frac{2}{3}$ =66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

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Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=23$

Total number of shirts finished by Laura $=23$

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in $t$ hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina $=2t+15$

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura $=3t+11$

Therefore,

$2t+15=3t+11\\3t-2t=15-11\\t=4$

So,

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=2(4)+15=8+15=23$

Total number of shirts finished by Laura $=3(4)+11=12+11=23$

6 0

3 years ago

X=8 units and h=5 units what is the area of the triangle

kykrilka [37]

Area=20. Ur welcome!

4 0

4 years ago

I suck at math and need help

tankabanditka [31]

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

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3 0

3 years ago

Read 2 more answers

A resident of Bayport claims to the City Council that the proportion of Westside residents

Kazeer [188]

Answer:

The test statistics is $z = -1.56$

The p-value is $p-value = 0.05938$

Step-by-step explanation:

From the question we are told

The West side sample size is $n_1 = 578$

The number of residents on the West side with income below poverty level is $k = 76$

The East side sample size $n_2=688$

The number of residents on the East side with income below poverty level is $u = 112$

The null hypothesis is $H_o : p_1 = p_2$

The alternative hypothesis is $H_a : p_1 < p_2$

Generally the sample proportion of West side is

$\^{p} _1 = \frac{k}{n_1}$

=> $\^{p} _1 = \frac{76}{578}$

=> $\^{p} _1 = 0.1315$

Generally the sample proportion of West side is

$\^{p} _2 = \frac{u}{n_2}$

=> $\^{p} _2 = \frac{112}{688}$

=> $\^{p} _2 = 0.1628$

Generally the pooled sample proportion is mathematically represented as

$p = \frac{k + u}{ n_1 + n_2 }$

=> $p = \frac{76 + 112}{ 578 + 688 }$

=> $p =0.1485$

Generally the test statistics is mathematically represented as

$z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }$

=> $z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }$

=> $z = -1.56$

Generally the p-value is mathematically represented as

$p-value = P(z < -1.56 )$

From z-table

$P(z < -1.56 ) = 0.05938$

So

$p-value = 0.05938$

3 0

4 years ago

A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. The drain can empty the sink

sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be $\frac{1}{12}$ .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be $\frac{1}{15}$ .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be $\frac{1}{25}$ .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

$(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1$

Make a common denominator:

$(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1$

$(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1$

$(\frac{25+20-12}{300})t=1$

$\frac{33}{300}t=1$

$\frac{11}{100}t=1$

$\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1$

$t=\frac{100}{11}$

$t=9.0909$

$t\approx 9.1$

Therefore, it will take 9.1 minutes to fill the sink.

4 0

3 years ago