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3 years ago

What is the value of z? ( please help)

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

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2 years ago

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Six students are working to simplify the expression shown.

krok68 [10]

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

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Step-by-step explanation:

Given expression is:

$15+12x-5x+4y-7$

We will simplify the expression one by one

$8+12x-5x+4y$

$8+7x+4y$

Now we can categorize the expressions in boxes given below

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

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3 years ago

Please help with this question I really need it right now please show work and please if you don't understand this question plea

Zina [86]

Answer:a is the correct option

Step-by-step explanation:

The table is divided into columns for month, sales and expense

Total number of sales for four months is determined by adding up the sales for each month. It becomes

35.75+65.34+12.15+49.68= $162.92

Total number of sales for four months is determined by adding up the expenses for each month. It becomes

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3 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:

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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)

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

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5 0

4 years ago

Please help fast!!!! trig/ geometry

amm1812

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:

$sin(A) = \frac{Opp}{Hyp}$

$sin(A) = \frac{7}{9}$

$A = sin^{-1}(\frac{7}{9})$

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

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3 years ago