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3 years ago

Of 30 students 1/3 play sports 2/3 of them play soccer. How many play soccer

Mathematics

2 answers:

vesna_86 [32]3 years ago

7 0

The answer is 20 of them play soccer.

30/3 x 2

agasfer [191]3 years ago

4 0

1/3 of 30 is 10 because you dividing it by 3 and you would get 10.

Now 2/3 of 10 :

10/3=3.3 (2/3 so we have to multiply by 2) 3.3•2=6.6

6.6 has to be estimated because you can't have 6.6 people.

Your answer would be 6. Before I said 7 but you said I was incorrect so the only possibility left is 6.

Hoped I helped!

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Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of

____ [38]

Answer:

So we have a triangle and a semicircle.

If the triangle is equilateral, this is:

AB = BC = 6cm

Then the area of the triangle is equal to (base*height)/2

in this case:

A = (6*6)/2 = 36/2 = 18cm^2.

And the diameter of the semicircle is equal to 6cm, then the diameter is 3cm

And if the area of a circle is A = pi*r^2

then the area of half a circle is:

A = (pi/2*)3^2 = pi*4.5cm^2

Then, the area of the triangle plus the area of the semicircle is:

Total area = 18cm^2 + pi*4.5^2

3 0

3 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

schepotkina [342]

Answer:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

$\bar X=8.19 cm^3$ represent the sample mean

$s=0.8 cm^3$ represent the sample deviation

$n=17$ sample size

$\mu_o =9.02$ represent the value to verify

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 9.02$

Alternative hypothesis: $\mu < 9.02$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

6 0

3 years ago

I need help!

arsen [322]

The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

<h3>What is the instantaneous rate of change of the function at the given point?</h3>

The instantaneous rate of change is simply the change in the derivative value at a specific point.

Given the data in the question;

f(x) = −4x² − 3x + 1
Point x = -3

To determine the instantaneous rate of change of the function, first find the derivative of the function.

f(x) = −4x² − 3x + 1

Applying sum rule, with respect to x

d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]

[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]

[ -8x ] + [ -3 ] + d/dx[ 1 ]

-8x - 3 + d/dx[ 1 ]

Differentiate using constant rule

-8x - 3 + [ 0 ]

-8x - 3

f'(x) = -8x - 3

Next, plug x = -3 into the derivative and simplify.

f'(x) = -8x - 3

f'(-3) = -8(-3) - 3

f'(-3) = 24 - 3

f'(-3) = 21

Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.

Learn more about instantaneous rate of change here: brainly.com/question/28122560

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7 0

1 year ago

PLEASE HELPPPPPPPPPPPPPPPPPPPP

skelet666 [1.2K]

Answer:

y = 5/8 x

Step-by-step explanation:

Since it goes through the origin, the y intercept is zero

8 0

3 years ago

Antonio pays y dollars per visit to his fitness center and he pays his bills every 3 months . In October he visited the gym 22 t

elena55 [62]

nahhhh im goood. 6235736203274352

6 0

3 years ago