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marta [7]
3 years ago
5

There are 420 students in kindergarten through third grade if 1/4 of the students are in first grade 20% are in the second grade

and 115 students are in the third grade how many students are in kindergarten explain
Mathematics
2 answers:
Sedbober [7]3 years ago
7 0
Let x be kindergarten students

x = 420 - [(0.25*420) + (0.2*420)+115]

x= 420 - (105 + 84 + 115)

x= 420 - 304

x= 116 kindergarten students
Oduvanchick [21]3 years ago
5 0
The answer would be around 120
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Answer:

All real numbers

Step-by-step explanation:

Solve a system of equations by elimination

With the equation given, you can solve for y to get: y = \frac{1}{5}x - \frac{6}{5}

Then, substitute this value in on the equation.

x - 5(\frac{1}{5}x - \frac{6}{5}) = 6

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- First find the area of the whole circle

The equation is :

πr^2

Substitute the radius in:

π(5)^2

Solve:

Area of full circle = 25π

(Note : leave this answer in terms of 'pi' so it is easier to handle

Next, find the area of the sector

The equation for this is:

(angle/360) x πr^2

Substitute the values in:

(80/360) x π(5)^2

Solve :

Area of sector = (50/9)π

Now, find the area of the triangle:

1/2 absinC

Substitute the values in:

1/2(5)(5) x sin(80) = 12.31009691

Subtract this answer from the area of the sector

Answer = 5.14319607

Subtract this from the area of the whole circle

Answer = 73.39662073

To the nearest tenth, that would be 73.4 cm^2

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Step-by-step explanation:

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
allochka39001 [22]

Answer:

a) The test statistic is z = -2.51

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

H_a: p_{B} - p_{NY} < 0

While the null hypothesis is:

H_0: p_{B} - p_{NY} = 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that X = 0.581 - 0.832 = -0.251

0 is tested at the null hypothesis:

This means that \mu = 0

Standard error = 0.1

This means that s = 0.1

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-0.251 - 0}{0.1}

z = -2.51

The test statistic is z = -2.51

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

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3 years ago
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