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Snezhnost [94]
1 year ago
5

What is the value of c? 4 units 5 units 6 units 7 units

Mathematics
2 answers:
Delvig [45]1 year ago
5 0

Answer:

5 units

Step-by-step explanation:

Use the Pythagorean theorem, 4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

5 = c

DedPeter [7]1 year ago
3 0

Answer:

5 units

Step-by-step explanation:

You could use the Pythagorean Theorem since triangle WYZ is a right triangle.  We know it is right because angle WYZ has the little square there meaning 90 degree measurement at that angle.

So the two legs have measurements 4 and 3.

We need to find the hypotenuse. We know c represent the hypotenuse measurement because it is opposite the 90 degree angle.

We need to solve:

4^2+3^2=c^2

16+9=c^2

25=c^2

Take square root of both sides:

5=c.

Eventually you will start to remember (3,4,5) has a Pythagorean triple where the smaller measurements in the triple represent leg measurements while the largest represents the hypotenuse.

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We want to estimate the population mean within 5, with a 99% level of confidence. the population standard deviation is estimated
pashok25 [27]
A sample size of 60 is required.

We use the formula
n=(\frac{z*\sigma}{E})^2

We first find the z-score associated with this level of confidence:
Convert 99% to a decimal:  99/100 = 0.99
Subtract from 1:  1-0.99 = 0.01
Divide by 2:  0.01/2 = 0.005
Subtract from 1:  1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:

n=(\frac{15(2.575)}{5})^2=59.68\approx60
3 0
2 years ago
Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?
Lubov Fominskaja [6]

Answer:

20 tbsp of flour OR 1.25 or 1 \frac{1}{4} cups of flour

Step-by-step explanation:

10 tbsp of flour

*2

____________

20 tbsp of flour OR 1.25 or 1 \frac{1}{4} cups of flour

5 0
1 year ago
An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En
Alex Ar [27]

Answer:

The central angle is within the range π to 3π/2

Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

π/2 = π/2 X 180°/π= 90°

π rad = π X 180°/π= 180°

3π/2 = 3π/2 X 180°/π= 270°

2π = 2π X 180°/π= 360°

Therefore the angle 250 which is between 180 and 270 is within the range :

π to 3π/2

4 0
2 years ago
Read 2 more answers
Alexa owns a total of 45 fiction and nonfiction books. If the number of fiction books is 15 more than 4 times the number of nonf
Vikentia [17]
What are the choices?
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Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can
jek_recluse [69]

Answer:

0.278

Step-by-step explanation:

Given that Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can be used. B box has three keys but only one can be used. C box has two keys but none of them can be used.

Each box is equally likely to be selected.

In other words

P(A) = P(B) = P(C)=\frac{1}{3}

If A is selected then probability of winning is using the correct key out of two keys i.e. 0.5

If B is selected then probability of winning is using the correct key out of three keys i.e. 0.333

If c is selected then probability of winning is using the correct key out of two keys i.e. 0.00

So the probability that Nuri can win the car

= \frac{1}{3} *0.5+\frac{1}{3} *0.333+\frac{1}{3} *0\\= 0.278

6 0
1 year ago
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