The formula for the area of a triangle is 1/2b*h. What is the area of a triangle when b=6 and h=8

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

Step-by-step explanation:

Information given

n=250 represent the random sample taken

X=40 represent the number of people on the alumni mailing list

$\hat p=\frac{40}{250}=0.16$ estimated proportion of people on the alumni mailing list

$p_o=0.15$ is the value to verify

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to verify if the true proportion of the alumni provide monetary contributions is higher than 0.15 (Alternative hypothesis), the system of hypothesis are.:

Null hypothesis: $p \leq 0.15$

Alternative hypothesis: $p > 0.15$

And the best answer for this case would be:

Ha: p > 0.15

3 0

3 years ago

I need help with 3) and 4)

ratelena [41]

3) Triangle = 180 degrees
180= 55+90+x
180=145+x
-145 -145
35=x
x=35 degrees

4) 1 liter = 1000 ml
Emilee drink more

6 0

3 years ago

Julian bought 3.9 liters of cranberry juice, and Jay bought 8.74 liters of apple juice. They mixed the two juices together and t

ValentinkaMS [17]

The capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Further explanation:

Given:

Julianbought 3.9liters of cranberry juice.

Jay bought 8.74 liters of Apple juice.

They mixed both the juice equally.

Procedure:

1. First find total capacity of both the juice.

2. Now, divide by 2 to find weight of juice in each bottle.

Calculation:

The total juice (in liters) can be obtained by adding both the juice brought by the Julian and Jay.

$\boxed{8.74+3.9=12.64}$

Therefore, the total juice (in liters) is 12.64 liters.

To obtain the number of liters in each bottle can be obtain by divide the total juice in liter by 2.

$\dfrac{{12.64}}{2}=6.32$

Therefore the capacity of each bottle of juice is 6.32 liters.

Thus, the capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Method 2:

Simple Method:

The Average of two juices gives the value of number of liters in each bottle.

The average is defined as the sum of the items divide by the number of items.

$\begin{aligned}\frac{{8.74+3.9}}{2}&=\frac{{12.64}}{2}\\&=6.32\\\end{aligned}$

Thus, the capacity of each bottle is $\boxed{\bf6.32{\text{ liters}}}$ .

Learn more:

1. Learn more about algebraic expression brainly.com/question/1600376

2. Learn more about averagehttps://brainly.com/question/3959122

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:

Julian, Jay, apple juice, juice, cranberry juice, 3.9 liters, 8.74 liters, mixed, equally, bottles, two juice, poured, 6.32 liters, liters.

7 0

3 years ago

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