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borishaifa [10]
3 years ago
11

How many solutions does the system have? y=-2x -4 y=3x + 3

Mathematics
1 answer:
baherus [9]3 years ago
7 0

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

=

7

−5

(Divide both sides by -5)

x=−7/5

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Let k = 7.<br><br> Drag the expression into the box that makes the comparison true.
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Answer:

k^2 ÷ k^2 the third one is correct

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2 years ago
Describe , Ella has 50 stacks of ten pennies in each stack.describe how to find how many pennies Ella has in all. For a 7 year o
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3 years ago
Read 2 more answers
A random sample of 20 healthy adults was collected and their body temperatures were measured in degrees Fahrenheit. The data can
castortr0y [4]

Answer:

Step-by-step explanation:

Hello!

You need to test the hypothesis that "the average temperature for healthy adults is not equal to 98.6"

The variable of interest is

X: The body temperature of a healthy adult. (Fahrenheit)

And the parameter of interest is the population mean, μ.

The statistic hypotheses are:

H₀: μ = 98.6

H₁: μ ≠ 98.6

α:0.05

Assuming that the variable has a normal distribution you have to use a one-sample t-statistic for this test.

Attached to the answer is the data of body temperature of n=19 healthy adults. Since you didn't copy the raw data for your exercise I'll use this to answer the question.

Using the data the sample mean and standard deviation are:

X[bar]= 98.12

S= 0.69

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}

t_{H_0}= \frac{98.12-98.6}{\frac{0.69}{\sqrt{19} } } = -3.03

This test is two-tailed, using the critical value approach, you have the rejection region divided into two tails determined by two critical values:

t_{n-1;\alpha /2}= t_{18;0.025}= -1.965

t_{n-1;1-\alpha /2}= t_{18;0.975}= 1.965

Decision rule:

If t_{H_0} ≤ -1.965 or if t_{H_0} ≥ 1.965, the decision is to reject the null hypothesis.

If -1.965 < t_{H_0} < 1.965, the decision is to not reject the null hypothesis.

The calculated statistic is less than the lower critical value, the decision is to reject the null hypothesis.

Using a significance level of 5%, there is enough evidence to reject the null hypothesis. Then you can conclude that the true mean body temperature for healthy adults is not equal to the traditional 98.6F.

I hope this helps!

7 0
4 years ago
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podryga [215]
To determine price per lb, divide dollar amount by lbs.
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So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

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Therefore, Company B is offering the lowest price/lb at $12.73/lb.
5 0
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