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3 years ago

A waiting room is 2/3 full when 36 people are seated. How many people are in the waiting room when it is 1/2 full?

1 answer:

6 0

When 36 people are seated the room is 2/3 full.
So for 1/3 , 18 people are needed
It will be 3/3 full if 54 people are present

So there can be 54 people in total

Now for the room to be 1/2 full , people will be 1/2 x 54 = 27 people

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Can someone please help me with these math problems please!

mr_godi [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

An NBA fan named Mark claims that there are more fouls called on his team 1 point

inn [45]

Answer:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

$df = n-1=34-1=33$

$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

$\bar X=12.2$ represent the sample mean fould against

$s=1.6$ represent the sample standard deviation

$n=34$ sample size

represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:

Null hypothesis: $\mu \leq 11.5$

Alternative hypothesis: $\mu > 11.5$

The statistic is given by:

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

The statistic is given by:

$t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551$

P value

The degreed of freedom are given by:

$df = n-1=34-1=33$

Since is a one side test the p value would be:

$p_v =P(t_{(33)}>2.551)=0.008$

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

7 0

3 years ago

I will give the Brainliest answer! PLEASE HELP! The vertices of a triangle are located at the points A (1,1) , B (2,3), C (5,0).

NemiM [27]

1.
The first transformation, the translation 4 units down, can be described with the following symbols:

(x, y) → (x, y-4).

as the points are shifted 4 units vertically, down. Thus the x-coordinates of the points do not change.

A'(1, 1) → A"(1, 1-4)=A"(1, -3).
B'(2, 3) → B"(2, 3-4)=B"(2, -1).
C'(5, 0) → C"(5, 0-4)=C"(5, -4).

2.
The second transformation can be described with:

(x, y) → (x, -y).

as a reflection with respect to the x-axis maps:

for example, (5, -7) to (5, 7), or (-3, -4) to (-3, 4)

thus, under this transformation A", B", C" are mapped to A', B' and C' as follows:

A"(1, -3)→A'(1, -(-3))=A'(1, 3)
B"(2, -1)→B'(2, -(-1))=B'(2, 1)
C"(5, -4)→C'(5, -(-4))=C'(5, 4)

Answer:

A'(1, 3), B'(2, 1), C'(5, 4)

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3 years ago

Adding and subtracting unlike fractions in word functions

UkoKoshka [18]

Answer:

3/8 tablespoons

Step-by-step explanation:

When we add fractions, we have to make each fraction a common denominator.

So we get 1/4 into 2/8 and we have 1/8

So we add and get 3/8

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3 years ago

Fine the value of x in the image below

sukhopar [10]

Answer:

Step-by-step explanation:

52 + x +58 = 180 {Straight line angles}

x + 110 = 180

x = 180 - 110

x = 70°

4 0

2 years ago

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