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2 years ago

What is the area of the triangle ? A) 64 B) 56 C) 48 D) 112

Mathematics

1 answer:

Advocard [28]2 years ago

7 0

Answer:

$\text{B) }56\:\mathrm{cm^2}$

Step-by-step explanation:

The area of a triangle with height $h$ and base $b$ is given by $A=\frac{1}{2}bh$ . By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

$A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}$

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from the well stuffed 52 cards 2 cards are drawn randomly.find the probability of the first card is ace and the second card is J

Nata [24]

4/52
1/52
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2 years ago

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Given that (-3, 5) is on the graph of f(x), find the corresponding point for the function f(x) − 4.

hram777 [196]

The graph of f(x) translates down 4 units to give f(x) - 4
So the x coordinate stays the same but the y coordinate is 4 units less

So the corresponding point is (-3, 1)

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3 years ago

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

$z= \frac{X -\mu}{\sigma}$

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

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2 years ago

Help me please ): I'm stuck here I don't remember how to do this .----.

inessss [21]

The last number would be 86 , TRUST ME I know these stuff!!

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3 years ago

a taxi service charges an initial fee of $5 plus $1.80 per mile. How many miles can you travel for $12

user100 [1]

First you need to write an equation or an inequality.

5+1.80x<=12
the x here is how many miles you are paying for, now you just solve for x.

5+1.80x<=12
-5 -5

1.80x<=7
/1.80 /1.80
x<=3.8

you can travel only three whole miles, you do not have enough money to go four full miles.

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2 years ago