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2 years ago

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, <u>D is greater than 13 and is the correct answer.</u>

D: 8 + 8 = 16.

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2 years ago

Find the value of X.

klemol [59]

Answer:

I think answer is 3

Step-by-step explanation:

BD = DA

BE = EC

Now, BD/BE = DA/EC

or, x + 5/2x = 4/3

or, 3x + 15 = 8x

or, 15 = 8x - 3x

or, 15 = 5x

or, 15/5 = x

or, 3 = x

Therefore x = 3 <u>Ans</u>

5 0

2 years ago

A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

Elodia [21]

Answer:

7.3% percentage of the bearings produced will not be acceptable.

Step-by-step explanation:

Consider the provided information.

Average diameter of the bearings it produces is .500 inches. A bearing is acceptable if its diameter is within .004 inches of this target value.

Let X is the normal random variable which represents the diameter of bearing.

Thus, 0.500-0.004<X<0.500+0.004

0.496<X<0.504

The bearings have normally distributed diameters with mean value .499 inches and standard deviation .002 inches.

Use the Z score formula: $\frac{X-\mu}{\sigma}$

Therefore

$\frac{0.496-0.499}{0.002}\leq z\leq \frac{0.504-0.499}{0.002}$

$\frac{-0.003}{0.002}\leq z\leq \frac{0.005}{0.002}$

$-1.5\leq z\leq 2.5$

Now use the standard normal table and determine the probability of that a ball bearing will be acceptable.

$P(-1.5\leq z\leq 2.5)=0.9938-0.0668=0.9270$

We need to find the percentage of the bearings produced will not be acceptable.

So subtract it from 1 as shown.

1-0.9270=0.073

Hence, 7.3% percentage of the bearings produced will not be acceptable.

3 0

3 years ago

What does A' mean in geometry

larisa [96]

Answer:

Area

Step-by-step explanation:

8 0

2 years ago

PLEASE HELP!!!

Marrrta [24]

Answer:

c²(1 + 3d)

Step-by-step explanation:

The sum of square of c and d is;

c² + d

Twice the product of c and d is;

2c²d

Because c² + d is increased by 2c²d the algebraic expression becomes;

c² + d + 2c²d

c²(1 + 3d)

8 0

2 years ago