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Softa [21]
4 years ago
9

Find the slope of the line that passes through the points (2,-5) and (7,1)

Mathematics
1 answer:
Inessa05 [86]4 years ago
4 0
Slope is y2-y1/x2-x1
(2,-5) can be your x1 and y1
(7,1) can be your x2 and y2
1-(-5)/7-2
1+5/5
6/5
The slope of the line is 6/5
Hope I helped!
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After spending $5, Isaac had twice as much money as Luke. If Luke had $10, how much money did Isaac have at first?
Korolek [52]

Answer:

<u>$25</u>

Step-by-step explanation:

10*2=20

20+5=25

8 0
3 years ago
What is 1/2 times 6?
son4ous [18]
1/2 times 6 = 1/2 * 6
so in order to make this multiplication you have to turn 6 to a fraction, 6 is equal to 6/1
so , the way to multiply them is multiply the top with the top and it will be the top in the answer and the exact same with the bottoms

6*1= 6
2*1=2 

so the fraction is 6/2, since a fraction is basicly a division

6/2 = 3

so the answer to your question is 3

i hope i helped you
6 0
3 years ago
Read 2 more answers
Considera um quadrado de lado 2x e um rectângulo de comprimento x e largura x  2 . Qual é o valor de x para o qual as duas figu
ki77a [65]

Answer:

3 unidades de comprimento

Step-by-step explanation:

O perímetro é definido como a soma de todos os lados.

O perímetro de um quadrado de lado 2x é dado por:

Q=4*2x=8x

O perímetro de um retângulo de comprimento x e largura x² é dado por:

R=2x+2x^2

Para que ambos os perímetros sejam iguais:

R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3

O valor de x é igual a 3 unidades de comprimento.

4 0
3 years ago
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
2 years ago
If you apply these changes to the linear parent function, f(x) = x, what is the equation of the new function?
Maru [420]

Answer:

A, g(x) = 7x + 5

Step-by-step explanation:

applying these translations to the parent function f(x) = x, we would get the following equation:

g(x) = 7x + 5

a vertical compression is written before the parent function (in this case f(x)=x), and a shift up is written next to the function. both of these are without parentheses

the answer would be A, g(x) = 7x + 5

8 0
3 years ago
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