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2 years ago

A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?

Mathematics

1 answer:

storchak [24]2 years ago

4 0

Answer:

8 inches

Step-by-step explanation:

h = 2 A/b

A = 160

b = 40

160/40 = 4

2 x 4 = 8 inches

The height of the triangles is 8in.

hope this helps!! p.s. i really need brainliest :)

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Chocolate chip cookies have a distribution that is approximately normal with a mean of 24.2 chocolate chips per cookie and a sta

Allisa [31]

Answer:

Percentile 5

$z=-1.64$

And if we solve for a we got

$a=24.2 -1.64*2.6=19.94$

Percentile 95

$z=1.64$

And if we solve for a we got

$a=24.2 +1.64*2.6=28.46$

Step-by-step explanation:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(24.2,2.6)$

Where $\mu=24.2$ and $\sigma=2.6$

We want to find the percentiles 5 and 95 for this case.

Percentile 5

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.95$ (a)

$P(X$ (b)

We want to find a percentile with 0.95 of the area on the left and 0.05 of the area on the right it's z=-1.64. On this case P(Z<-1.64)=0.05 and P(z>-1.64)=0.05

Using this condition we got:

$P(X$

$P(z$

Replacing we got:

$z=-1.64$

And if we solve for a we got

$a=24.2 -1.64*2.6=19.94$

Percentile 95

$z=1.64$

And if we solve for a we got

$a=24.2 +1.64*2.6=28.46$

4 0

3 years ago

Rodney buys 6 pounds of bananas for 5.10$. how much do bananas cost?

emmasim [6.3K]

Answer:

$0.85 per pound

Step-by-step explanation:

The cost in dollars per pound is found by dividing dollars by pounds:

$5.10/(6 lb) = $0.85 /lb

Bananas cost $0.85 per pound.

5 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

aev [14]

Answer: (B) -625

<u>Step-by-step explanation:</u>

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is $\dfrac{-100}{-500}=\dfrac{1}{5}$

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}$

4 0

3 years ago

What is the ratio of blue shapes to all shapes in the set below

Reika [66]

What you can do is count all the shapes the put the number of blue with that into a fraction. Lets say that there are 24 shapes and 15 are blue the fraction would be 15/25

Hope this helped. If you post a pic I can help you more.

5 0

3 years ago

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The object shown is made of glass. What is it called?

insens350 [35]

The answer is : Prism

hope this helps !

7 0

3 years ago

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