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3 years ago

-2x(x+5) for x= -3 help

Mathematics

1 answer:

77julia77 [94]3 years ago

4 0

Answer:

12 i think

Step-by-step explanation:

-2 times -3 would equal to positive 6 then -3 minus 5 equals 2 then 2 time 6 equals 12

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The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls

abruzzese [7]

Answer:

a) t-statistic t = 0.9532

b) The standard error S.E = 1.2

c) The new t-statistic = 1.95

d) The new estimated standard error =0.666

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 16

The sample size n=27

The mean of the sample = 17.1

Given that the variance of the sample (S²) = 36.0

The standard deviation of the sample (S) = √36 = 6

Test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }$

t = 0.9532

The standard error is defined by

$S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154$

Step(ii):-

c) given that the sample size n = 81

Test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }$

t = 1.65

The new standard error is defined by

$S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66$

3 0

3 years ago

Find the slope of the line that passes through (-2,-3) and (1,1).

Serga [27]

Slope formula : (y2 - y1) / (x2 - x1)
(-2,-3)...x1 = -2 and y1 = -3
(1,1)...x2 = 1 and y2 = 1
time to sub and solve
slope = (1 - (-2) / (1 - (-3) = (1 + 2) / (1 + 3) = 3/4 <==

8 0

4 years ago

Read 2 more answers

Explain how to use the distributive property to find the product (3)(45)

jasenka [17]

Answer:

135

Step-by-step explanation:

in order to find the distributive property you multiply both numbers.

So for example, You just multiply 3 times 45 = 135

4 0

4 years ago

ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

$\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm$

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0

3 years ago

Give your answer as a mixed number. 2 6/7 ÷ 2/3 =?

AfilCa [17]

2 6/7 ÷ 2/3

= 20/7 ÷ 2/3

20/7 × 3/2

= 60/14

reduce to it's lowest term

30/7 = 4 2/7

8 0

3 years ago