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devlian [24]
3 years ago
14

Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted point B above o, a distance that is

exactly as far from 0 as point A is. Explain what you know about point B.
Mathematics
2 answers:
stellarik [79]3 years ago
7 0

Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.




Juliette [100K]3 years ago
5 0

Answer:

According to Barbara's plot, the number line A, is above sea level, therefore, it's a positive line, in positive range.

On the other hand, the number line B has the same distance but in the opposite direction, is downwards the zero point. So, this means the B line is below sea level, because is in positive range. That's what we can deduct from this, because the characterization Barbara is doing is related to sea level.

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Well when you do a problem and it's multiplication and you have to us your math skills and then when you get it wrong don't that
masha68 [24]
Not necessarily. You could have done your multiplication wrong. Or in some cases, yes, you could have to use another skill. For example, you can't solve an optimization problem with addition, you need some calculus skills under your belt.
8 0
3 years ago
Janine inflated a ball to a radius of 18cm and another ball to a radius of 12cm. How much greater was the volume of the air in t
bagirrra123 [75]

Answer:

17,182.08 cm³

Step-by-step explanation:


6 0
3 years ago
Does anyone know this??
blagie [28]

Answer:

x = 38, y = 4

Step-by-step explanation:

Since AB = BC  then the triangle is isosceles and the base angles are congruent, that is

∠ DAB = ∠ DCB = 52°

Subtract the sum of the base angle from 180° for ∠ ABC

∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°

Note that ∠ ABD = ∠ CBD, thus

x = 76 ÷ 2 = 38

BD bisects the side AC, thus DC = AD = 4

Thus y = 4

5 0
3 years ago
The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16.
Ostrovityanka [42]

Answer:

a) \bar X = 121.4

b) SE = \frac{\sigma}{\sqrt{n}}= \frac{15}{\sqrt{40}}=2.372

c) 121.4-1.64\frac{15}{\sqrt{40}}=117.51    

121.4+1.64\frac{15}{\sqrt{40}}=125.29  

Step-by-step explanation:

Data given: 126,111,141,96,123,115,116,113,127,114,122,116,104,126,126,132,139,111,143,121,119,107,154,125,120,135,142,132,94,103,143,115,132,107,118,105,101,135,94,153

Part a

For this case we can calculate the sample mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And after replace we got:

\bar X = 121.4

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

For this case we assume that the population deviation is \sigma=15, we can calculate the standard error with this formula:

SE = \frac{\sigma}{\sqrt{n}}= \frac{15}{\sqrt{40}}=2.372

Part c

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

121.4-1.64\frac{15}{\sqrt{40}}=117.51    

121.4+1.64\frac{15}{\sqrt{40}}=125.29  

8 0
4 years ago
Read 2 more answers
Find an equation of the line. Write the equation using function notation.
seropon [69]

Answer:

y=-6x+33

Step-by-step explanation:

Perpendicular lines meet the following condition:

m1*m2=-1

From the first line equation, we obtain m1 if we write the given equation in a proper manner. 6y=x-12 becomes y=x/6 -12,

m1=1/6 since is the coefficient of 'x' variable.

Now, to obtain 'm2' we use the condition for perpendicular lines

(1/6)*m2=-1

m2=-6

Thus, our new line have an equation like the following y=mx+b, where m=-6

Now, we need to eval the given point (6,-3) in the equation in from above to obtain the value of 'b'

-3= -6*(6) + b

Leading us to, b=33

4 0
3 years ago
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