Determine the value of angle ABC?

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]

[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]

[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]

[tex]$n_1=39, \ \ n_2=37$[/tex]

M.E. , Margin of error,

[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]

[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]

  [tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]

 = 9.222

s = 3.03

[tex]$t_{74,0.05} = 1.99$[/tex]

[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

                              = [-3.2, -0.4]

Therefore, the lower bound is -3.2

Answer:

[tex]m=46^{\circ},\\n=22^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:

[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]

Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:

[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]

Answer:

M = 46°

N = 22°

Step-by-step explanation:

Value of M:

Sum of angles in triangle = 180°

180° - 90° - (180° - 136°) = m

90° - 44° = m

m = 46°

Value of N:

The triangle is isosceles (marked by the two congruent lines with the tick)

That means that the other two angles, are the same

180° - 136° = 2n

44° = 2n

n = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Y = 10.1 + 1.50x

Step-by-step explanation:

From the data contained in the computer output for linear regression

The coefficient of intercept = 10.1

coefficient of fertilizer = 1.50

Sample of an Equation of least squares regression line

y = a + bx

where : a = intercept , b = slope

hence the required equation will be

Y = 10.1 + 1.50x

y = yield , x = fertilizer

Answer:

Step-by-step explanation:

(21+13/74-18x3)x10=17

rad3/ 2=0.86

ad 281^r2-160^2=231

2^10-2^9=512

ultima= 4

Answer:

[tex]9.5 \sqrt{?} [/tex]

Answer:

option B

Step-by-step explanation:

Have a great day!

Answer: C

Step-by-step explanation:

I did the test and it was right

Answer:

∠K ≅ ∠N

Step-by-step explanation:

Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:

∠J ≅ ∠M

∠K ≅ ∠N

∠L ≅ ∠O

So, the answer is ∠N

Answer:

288

Step-by-step explanation:

y= xkz

K= y/xz

= 24/2×1

= 24/2

= 12

y= xkz

= 12×12×2

= 288

Hence the value of y is 288

Answer: The perimeter is 20 cm

Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.

PERIMITER = ADDING ALL SIDES

AREA = MULTIPLYING

Answer:

[tex]\pi {r}^{2} h[/tex]

r=5

h=4

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Answer:

answer is A

Step-by-step explanation:

50+90=140

180-140=40

brainliest plz

Answer:

GIME SOME POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 4.5

Answer:

Step-by-step explanation:

the instruction say put it in this form Ax +Bx = C  , but i'm sure they were meant to say this  Ax +By = C     note the  X and Y differences.  I'll use the latter form, b/c that's the  "standard" form

find the slope:

m = -11 - (-5) / -10-5

m = -11 + 5 / -15

m = -6 / -15

m = 2/5

y-(-5) = 2/5(x-5)

y + 5 = 2x/5 -2

y = [tex]\frac{2}{5}[/tex] x - 7

- [tex]\frac{2}{5}[/tex] x +y = -7

There you go, the right answer   :P

Answer:

x = {-4, -1/2}

Step-by-step explanation:

2x² + 9x + 4 = 0

Factor

(2x + 1)(x + 4) = 0

2x + 1 = 0

x = -1/2

x + 4 = 0

x = -4

x = {-4, -1/2}

Answer:

12 inches

Step-by-step explanation:

All you have to do is divide 72 by 6.

72 divided by 6 equals 12.

So your answer would be D.12 inches

Answer:

$1,545

Step-by-step explanation:

3% of 1500 is 45

1500 + 45 = 1545

Answer:

The answer is f(x) =√x+4. It would be last one.

Answer:

HL theorem

Step-by-step explanation:

since NP⊥OM, so, L H is a right angle.

and NM = OP as hypotenuse

HL theorem

NP is perpendicular to OM

NM =OP given

So the triangles are congruent

Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)

Area of triangle is half the product of any two sides and the sine of the included angle.

Area = 1/2.ab.sinC

Area of ΔQRS = 1/2×9×15×sin∅

∵ ∅ = 20°

Area of ΔQRS = 1/2×9×15×sin20°

Hence, area of ΔQRS is 1/2×9×15×sin20°

Learn more about area of triangle

https://brainly.com/question/27683633

#SPJ2

Answer:

1/365

Step-by-step explanation:

The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365

Answer:

Person A can be born on any day of the year since they’re the first person we’re asking. The probability of being born any day of the year is 1 or more specifically: 365/365.

Since Person B must be born on the same day as Person A their probability is 1/365.

We want both of these events to happen so multiply the probabilities:

So you have a 0.27% chance of walking up to a stranger and discovering that their birthday is the same day as yours.

I think you are happy with this answer

Answer:

3/4

Step-by-step explanation:

slope = rise / run

slope = ∆y/∆x

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 0) / ( 0 - -8)

slope = 6/8

slope = 3/4

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

Answer:

What are the answer choices?

Answer:

C (Sorry if its incorrect)

Step-by-step explanation:

I believe its C

Becuase a converse is switching the hypothis and conclusion around

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Answer:

50 pounds

Step-by-step explanation: