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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Mathematics

2 answers:

jekas [21]3 years ago

7 0

The correct answer is D

V125BC [204]3 years ago

7 0

Let's do it in steps:
7³ = 7 x 7 x 7
7 x 7 = 49
49 x 7 = 343

The correct answer is D) 343

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Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic

antoniya [11.8K]

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,

To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0

8 0

2 years ago

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

3 years ago

2. What percent of rolling a 2 3 probability of getting HH

faust18 [17]

Answer:

2. The correct answer option is 25%.

3. The experimental probability is 3% greater than the theoretical probability.

Step-by-step explanation:

2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.

We are to find the experimental probability of getting the number 2.

P (2) = $\frac{5}{20} \times 100 =\frac{1}{4} \times 100$ = 25%

3. The theoretical Outcomes are: HH HT TH TT

So theoretical probability of getting HH = $\frac{1}{4} \times 100$ = 25%

Total number of outcomes = $28+22+34+16$ = 100

So experimental probability of getting HH = $\frac{28}{100} \times 100$ = 28%

Therefore, the experimental probability is 3% greater than the theoretical probability.

6 0

3 years ago

To see how costly it would be for other people to compete a similar cycling tour, you decide to work out two averages and compar

Damm [24]

Group A

Money spent by Person 1 = £500

Money spent by Person 2 = £600

Money spent by Person 3 = £900

Money spent by Person 4 = £450

Sum of money spent by group A = £2,450

Average money spent by group A = $\frac{2,450}{4}$

⇒ Average money spent by group A = £612.5

Group B

Money spent by Person 1 = £700

Money spent by Person 2 = £500

Money spent by Person 3 = £680

Money spent by Person 4 = £500

Sum of money spent by group B = £2,380

Average money spent by group B = $\frac{2,380}{4}$

⇒ Average money spent by group B = £595

Hence, Group B had lower average spend.

4 0

3 years ago

If the square below has an area of 50, what is the value of x

pishuonlain [190]

Answer:

Step-by-step explanation:

A= L²

50 = L² (do opposite operation to find L)

L = 7.07

x²= L²+ L²

x²= 7.07² + 7.07²

x² = 100 ( do opposite operation to make x the subject)

x = 10

Note: opposite operation of square is square root

4 0

3 years ago