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tamaranim1 [39]
3 years ago
9

write an equation in slope intercept form with the given information. slope=-1; passes through the point (-4,10)

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

y-10 = -1 * x+ (-4)

Step-by-step explanation:

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Last year the math club had nine sixth grade students and 4 4th grade students what is the radio of 4th grade students to the to
slega [8]

Answer:

C. 4:13

Step-by-step explanation:

there are 4 students in the 4th grade and 4+9= 13 so it is 4:13

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3 years ago
Which of the following is not a linear equation? A. x-y=7 b. 0.5x-0.2y=7 c.5y^2=xy+2x d. 2x+y=4
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C

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3 years ago
Solve the following equation for x<br><br> 10=2-4(ax-3)
likoan [24]

Answer:

\large\boxed{x=\dfrac{1}{a}}

Step-by-step explanation:

2-4(ax-3)=10\qquad\text{subtract 2 from both sides}\\\\-4(ax-3)=8\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4(ax-3)}{-4}=\dfrac{8}{-4}\\\\ax-3=-2\qquad\text{add 3 to both sides}\\\\ax-3+3=-2+3\\\\ax=1\qquad\text{divide both sides by}\ a\neq0\\\\x=\dfrac{1}{a}

7 0
3 years ago
13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3
romanna [79]

<u>We are given</u>

  • Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

\implies \text{Volume of sphere =} \   \dfrac{4\pi r^{3}}{3}

When we substitute the radius in the formula, we get;

\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

Take π as 3.14

\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

Simplify the numerator;

\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

Divide the numerator by 3;

\implies \text{Volume of sphere} = \dfrac{3292528640}{3}

\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})

4 0
2 years ago
The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and
Karolina [17]

Answer:

They spend at least 69.48 minutes reading the paper.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 49, \sigma = 16

For the 10% who spend the most time reading the paper, how much time do they spend?

They spend at least X minutes, in which X is the value of X when Z has a pvalue of 0.90. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 49}{16}

X - 49 = 16*1.28

X = 69.48

They spend at least 69.48 minutes reading the paper.

6 0
3 years ago
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