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3 years ago

What is the best first step for solving the given system using substitution while avoiding fractions -9x+4y=10 -9x+3y=3

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

8 0

Answer:

Solve for x in the second equation.

Step-by-step explanation:

took the test on edg

mylen [45]3 years ago

3 0

Answer:

The best first step for solving the given system using substitution is substitute the value of -9x from equation 1 in equation 2

Step-by-step explanation:

Given : $-9x+4y=10$

$-9x+3y=3$

To Find: What is the best first step for solving the given system using substitution?

Solution:

$-9x+4y=10$ --1

$-9x+3y=3$ --2

Since we are supposed to solve these equations using substitution method

So, the first best step for solving the equation is :

Both the equations contains -9x

So, substitute the value of -9x from equation 1 in equation 2

$10-4y+3y=3$

$10-y=3$

$y=7$

Substitute the value of y in 1 to get value of x

So, $-9x+4(7)=10$

$-9x+28=10$

$9x=18$

$x=2$

Thus the solution is (2,7)

Hence the best first step for solving the given system using substitution is substitute the value of -9x from equation 1 in equation 2

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There are 81 people protesting the destruction of the rain forests. There are 36 males, 23 of whom are students, and 18 female

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Answer:

Step-by-step explanation:

Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)

Given that there are 36 males then number of females

= 81 - 36

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3 years ago

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Answer:

3/4

Step-by-step explanation:

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2 years ago

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What is y=7/4x+6 if the input was 53

Shkiper50 [21]

7/4(53) + 6
92.75 + 6

98.75

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3 years ago

Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article "Forces on the Hand in the

Gnoma [55]

Answer:

Step-by-step explanation:

Hello!

The objective is to study whether there is a greater force after impacting on one- handed backhand drive in advanced tennis players than in intermediate tennis players.

Sample 1: Advanced tennis players

X₁: Force (N) on the hand just after impact on a one- handed backhand drive for an advanced tennis player.

n₁= 6

X[bar]₁= 40.29 N

S₁= 11.29

Sample 2: Intermediate players

X₂: Force (N) on the hand just after impact on a one- handed backhand drive for an intermediate tennis player.

n₂= 8

X[bar]₂= 21.40

S₂= 8.30

Assuming that both variables have a normal distribution and both population variances are equal, to compare these two populations is best to do so trough their population means using a t-test for independent samples.

If the force is greater for the advanced players than for the intermediate players, then you'd expect the population mean for the advanced players to be greater than the population mean for the intermediate players:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

α: 0.05

$t= \frac{(X_[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}$

$Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{5*127.51+7*68.92}{6+8-2} }= 9.66$

$t_{H_0}= \frac{(40.29-21.40)-0}{9.66\sqrt{\frac{1}{6} +\frac{1}{8} } } = 3.62$

Using the p-value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value for this test is 0.00024, it is less than the level of significance, so the decision is to reject the null hypothesis.

This means that at a 5% significance level you can conclude that the average force experienced on the hand after a one-handed backhand drive for advanced players is greater than the average force experienced on the hand after a one-handed backhand drive for intermediate players.

I hope this helps!

3 0

4 years ago

The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.31 . In a group of 21 students, what is

Ivenika [448]

Answer: 0.0241

Step-by-step explanation:

This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where:

n = number of sampled variable which in this case = 21

r = variable outcome being determined which in this case = 5

p = probability of success of the variable which in this case = 0.31

q= 1- p = 1 - 0.31 = 0.69

P(X=5) = 21C5 × 0.31^5 × 0.69^16

P(X=5) = 0.0241

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3 years ago