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3 years ago

What is the solution to the system of equations!

Mathematics

2 answers:

ella [17]3 years ago

7 0

Answer:

no solutions

Step-by-step explanation:

if you solve by elimination you will get 0=-4

That statement is false

svet-max [94.6K]3 years ago

6 0

Answer:

Step-by-step explanation:

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16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day.

Ber [7]

Answer:

Part A)

4.50 × 3 > 4.50 × 2
13.5 0 > 9

Part B)

r ≥ 7

Explanation:

1) The earnings are calculated multiplying the number of hours by the hourly rate.

2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour

3) Let the variable used for computing the number of hours be h.

4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:

P = 4.50 × 3

5) Similarly, the expression to calculate Cindy's earnings would be:

C = 4.50 × 2

Answering part A)

You have to write an inequality to compare Peter's and Cindy's earnings:

4.50 × 3 > 4.50 × 2
13.5 0 > 9

This is, the earnings of Peter are greater than the earnings of Cindy.

Part B),

You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.

Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.

Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.

To solve it follow these steps:

Given: 2r ≥ 14

Divide both sides by 2: r ≥ 14 / 2

Simplify: r ≥ 7

That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.

7 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Lunna [17]

−5 < a − 4 < 2

+4 +4

-1 < a < 6

Answer is B. The second one

7 0

4 years ago

Write each fraction or mixed number as a desimal. 7/8 7/15 4 3/25

gtnhenbr [62]

Answer:

4 3/25 = 4.12

7/8 = 0.875

7/15 = 0.467

4 0

3 years ago

Answer ASAP please due soon

insens350 [35]

Answer

2 Transformations

Step-by-step explanation:

Because of reflection and Rotation 180 degrees clockwise

7 0

3 years ago

Given the following information about a hypothesis test of the difference between two means based on independent random samples,

HACTEHA [7]

Answer:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

Step-by-step explanation:

Data given:

$n_1 =13$ represent the sample size for group 1

$n_2 =10$ represent the sample size for group 2

$\bar X_1 =12$ represent the sample mean for the group 1

$\bar X_2 =9$ represent the sample mean for the group 2

$s_1=5$ represent the sample standard deviation for group 1

$s_2=3$ represent the sample standard deviation for group 2

We are assuming two independent samples from two normal distributions with equal variances we are assuming that

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

And the statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The pooled variance is given by:

$S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143$

And the deviation would be just the square root of the variance:

$S_p=4.259$

Then the statistic is given by:

$t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674$

And the correct option would be:

t = 1.674

4 0

4 years ago