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3 years ago

Please help with this question. I need an answer ASAP!! I need help! I don't understand this!

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer: 42°

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

HJ is an angle bisector of ∠IHK so

∠IHJ ≅ ∠KHJ ⇒ m∠IHJ = m∠KHJ

3a + 6 = 5a - 18

6 = 2a - 18

24 = 2a

12 = a

∠IHJ = 3a + 6

= 3(12) + 6

= 36 + 6

= 42

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Solve 3(x+1) -2x= -6

s2008m [1.1K]

3(x + 1) - 2x = -6 |use distributive property: a(b + c) = ab + ac

3x + 3 - 2x = -6

x + 3 = -6 |subtract 3 from both sides

x = -9

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3 years ago

A 100 centimeter stick broke into 3 pieces one piece was 7 centimeters long and another was 34 centimeters long how long was the

emmasim [6.3K]

The third piece is 59 cm long.

Add the first two pieces up. 7+34= 41. Since the whole stick is 100 cm long, subtract 41 from 100 to find the length of the third piece. 100-41=59.

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3 years ago

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You want to to buy the PlayStation 5 and it is listed as $449.99 in all the stores

Anna71 [15]

Answer:

Without taxes, the price will be $359.99

Step-by-step explanation:

You take the original price then divide it by ten. Then you multiply that number by 2 to get what 20% of 449.99 is. You then subtract that number from from 449.99. At least I think so. There are other ways to go faster but this is the easiest to understand.

7 0

2 years ago

What is the area of the figure?

Andreyy89

Answer:

$88 \: {in}^{2}$

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

$= 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2}$

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2 years ago

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

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

$X \sim N(10.5,0.3)$

Where $\mu=10.5$ and $\sigma=0.3$

We are interested on this probability

$P(X>10.983)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

8 0

3 years ago