I need help please?!!!!!!!!

devlian [24]

Answer: z = 3

Step-by-step explanation: To solve this equation for z, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have z after their coefficient, we can subtract 12z - 7z to get 5z.

Now we have 5z - 2 = 13.

To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.

Now we have 5z = 15.

Solving from here, we divide both sides of the equation by 5 to get z alone. On the left side, the 5's cancel out and we are simply left with z. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.

8 0

3 years ago

Can someone help me with this geometry question.

Feliz [49]

Because this is 4 sided, it is 360°(in total)

The shape is parallel on 2 sides(shown by the red arrows), so (5x)° = 90°

5x = 90

x = 18°

You can add all the angles together and set it equal to 360°

90° + (5x)° + (5(y+11))° + (4y-10)° = 360°

Since you know 5x is 90°, you can plug it in

90° + 90° + (5(y+11))° + (4y-10)° = 360°

180° + (5(y+11))° + (4y-10)° = 360° Subtract 180° on both sides

(5(y+11))° + (4y-10)° = 180°

5y + 55° + 4y - 10° = 180°

9y + 45° = 180°

9y = 135°

y = 15°

x = 18°, y = 15°

3 0

3 years ago

John is making a tent for the next camping trip. The tent is pictured below. How

expeople1 [14]

Answer:

10m

Step-by-step explanation:

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5 0

3 years ago

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n

devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

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

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so $\mu = 49.9, \sigma = 3.74$ .

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when $Z = 1.04, \mu = 49.9, \sigma = 3.74$ .