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Alexandra [31]
3 years ago
15

I need helpppppp asappppp

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

A. 72cm

Step-by-step explanation:

Figure a is a convex pentagon, a convex pentagon is a pentagon that does not have an internal angle greater than

{180}^{0}

An easier thing to remember is that it does not have an angle pointing inwards like b, none of its angles/edges point toward the shape/inside

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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec
Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, P(A)=45\%=0.45

The probability of getting a microprocessor from firm B is, P(B)=30\%=0.30

The probability of getting a microprocessor from firm C is, P(C)=25\%=0.25

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, P(D/A)=6\%=0.06

Probability of producing a defective microprocessor from firm B is, P(D/B)=7\%=0.07

Probability of producing a defective microprocessor from firm C is, P(D/C)=5.5\%=0.055

Now, probability of having a defective microprocessor when selected at random is given as:

P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

5 0
3 years ago
A) Both data sets multiplicative relationships. In Data Set 1, y is 3 times x and in data set 2 y is 3.5 times x B) Both data sh
Sladkaya [172]

For table # 1:

x= 1 * 3.5 = 3.5

x = 2*3.5 = 7

x = 3*3.5 = 10.5

x = 4* 3.5 = 14

For table #2

x=1 * 3 = 3

x =2 * 3 = 6

x = 3*3 = 9

x = 4* 3 = 12

Hence, the data sets show multiplicative relationships:

For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.

8 0
1 year ago
Dante slices potatoes at a steady pace to make fries. By the time he finishes, he has sliced 102 potatoes in 12 minutes. What is
sveticcg [70]

Answer:

8.5 potatoes per minute

Step-by-step explanation:

3 0
3 years ago
Factor the expression completely.
evablogger [386]

Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

6 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Mila [183]

Answer:

m\angle H = 44.4\°.

Step-by-step explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7    ....Side opposite to angle H

GH = 10  .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

sin \ H = \frac{Oppsite\  side\  to\  \angle H}{Hypotenuse}

Substituting the values we get;

sin\ H = \frac{7}{10} = 0.7

Now taking sin^{-1} we get;

\angle H = sin^{-1}\ 0.7 = 44.427

rounding to nearest tenth we get.

m\angle H = 44.4\°.

Hence m\angle H = 44.4\°.

6 0
3 years ago
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