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FromTheMoon [43]
3 years ago
11

Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 7 miles?

Mathematics
1 answer:
NikAS [45]3 years ago
8 0
30 minutes / 3 miles = 10 minutes for 1 mile

7 miles * 10 minutes per mile = 70 minutes total to run 7 miles
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PHYSICS As a ray of light meets a mirror, the light
Lady bird [3.3K]
<h3>Answer:  37 degrees</h3>

========================================================

Explanation:

The angle of incidence is equal to the angle of reflection. The angle of light coming in is the same as the angle of light bouncing out. Each angle is made with the dashed line as the diagram shows.

So angle RMI = 106 is bisected, i.e. divided in half, to get

  • Angle RMN = 53
  • Angle NMI = 53

since 106/2 = 53

Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0
2 years ago
What is the measure of 1
postnew [5]

Answer:60

Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120

7 0
3 years ago
If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM:
scoundrel [369]
The missing reason to complete Hector's proof is
<span>Corresponding Parts of Congruent Triangles Are Congruent
It's been established in the previous statement that triangle LNO and triangle PNM are congruent by the AAS Postulate.
The proof
</span>Corresponding Parts of Congruent Triangles Are Congruent
is comprehensive.
4 0
4 years ago
Read 2 more answers
the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o
maria [59]
The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
\frac{x}{34000}  =  \frac{90}{100}
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
\frac{x}{30600}  =  \frac{74}{100}
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
8 0
3 years ago
A genetics experiment involves a population of fruit flies consisting of 1 male named Bart and 3 females named Charlene, Diana,
kenny6666 [7]

Answer:

(b) \frac{1}{2}

Step-by-step explanation:

1 male named Bart (b)

3 females named Charlene(c), Diana(d), and Erin(e).

Since there is replacement, the possible samples are:

bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.

Total Number of pairs = 16

Event of picking 2 males:bb

Event of 1 male:bc,cb,bd,db,be,eb

Event of picking 0 males:

cc, cd, ce, dc, dd, de, ec, ed, and ee.

\begin{equation*} \begin{matrix}Proportion of males & Probability \\0 & 9/16 \\1 & 6/16 \\2 & 1/16 \end{matrix} \end{equation*}

b. The mean of the sampling distribution

\mu = (\frac{9}{16} X0 ) +(\frac{6}{16} X 1)+(\frac{1}{16} X 2) = \frac{8}{16} = \frac{1}{2}

c.  No; the proportion of males is \frac{1}{4} while the mean is \frac{1}{2}.

B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.

7 0
3 years ago
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