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AlexFokin [52]
3 years ago
10

What is the area of a triangle that has a base of 15 yards and a height of 11 yards?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0
A = hb/2
A = (15)(11) / 2
A = 165/2
A = 82.5 <===
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Find the slope of the given line, if it is defined.
il63 [147K]

Answer:  A. The slope is -\dfrac{4}{3}.

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

\text{Slope}=\dfrac{d-b}{c-a}

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}

Hence, the slope is -\dfrac{4}{3}.

8 0
2 years ago
A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat
Marizza181 [45]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

5 0
3 years ago
What geometric construction is shown below
AnnyKZ [126]

Answer:

doubling the square Apex

Step-by-step explanation:

5 0
3 years ago
In baseball, a player's batting average is calculated by dividing the number of hits by the numbers of at-bats. If player A's ba
Anna11 [10]
Average = no of hits / no of at-bats
0.296 = x / 446
0.296/ 446 = x
132.016
No of hits ≈ 132
8 0
3 years ago
Find x to the nearest hundreths
7nadin3 [17]

I'd say the answer is C.

5 0
2 years ago
Read 2 more answers
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