Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

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Answer:

0.75

Step-by-step explanation:

Answer:

$71.44

Step-by-step explanation:

Step-by-step explanation:

selling p= X(let)

commission=5%

here commission amount= X*5/100

Answer:

The answer would be c

Step-by-step explanation:

i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2

Answer:

b

Step-by-step explanation:

I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5

-1.5=x

(2+-2)=0, (0/2)=0

0=y

(-1.5, 0)

Answer:

a- $37.50

b- $39.75

Step-by-step explanation:

Hope this helped!

Answer:

a) 37.5

b) 39.75

Step-by-step explanation:

a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5

b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75

Answer:

a=-10

Step-by-step explanation:

y=2x+a ,at x=5

y=2(5)+a

y=10+a

where y=0

10+a=0

a= -10

The missing quantity is 100 books in the double number line.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

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Answer:

y = 70x

Step-by-step explanation:

Note that d = rt where d is the distance, r is the rate/speed, and t is the time. Since we are given that the variable x is the time, 70mph is the speed, and the variable y is the distance, we can substitute these into d = rt, which we get y = 70x.

I hope this helps! :)

Answer:

b. 1

Step-by-step explanation:

you lised m = 12 and n = 1/4 so...

1/2(12-4) x 1/4

4 x 1/4 = 4/4 = 1

Answer:118

Step-by-step explanation:

Trust me

In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the measure of angle ∠M, we need to use the law of cosines, which states that:

c² = a² + b² - 2ab cos(C)

To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:

m²= n² + o² - 2no cos(∠M)

Substituting the given values, we get:

89² = 30² + 71² - 2(30)(71) cos(∠M)

Simplifying and solving for cos(∠M), we get:

cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))

cos(∠M) = -0.4402

To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:

∠M = 118.7 degrees

Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees

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Answer:

54 kg

Step-by-step explanation:

x - regular boy

y - special boy who's weight we're counting

The mean mass of 5 boys:

(4x+y)÷5=62

The mean mass of 4 boys:

4x÷4=64

x=64kg

the mass of y boy:

(4×64+y)÷5=62

(256+y)÷5=62 |×5

256+y=310

y=310-256

y=54

Answer:

area es 48 cm

el perimetro es 144cm

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

5(-1 times 2 -7 -3) = 60

The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

Important information:

Substitute [tex]x=-1,y=-3[/tex] in the given expression.

[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]

[tex]5((-1)^2-7+(-3))=5(-9)[/tex]

[tex]5((-1)^2-7+(-3))=-45[/tex]

Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].

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Answer:

2.333 repeating

Step-by-step explanation:

you divide 2 by 6 (srry i neede more characters)

you can do the repeat symbol by placing a slash over top of the 3rd 3

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

-10/3 or -3 and 1/3

Step-by-step explanation:

you can do y1-y2 over x1-x2 of two points

or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3

but its negative slope cause your going back 3 to the left

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

Answer:

x=12

Step-by-step explanation:

Im not sure which measure you're talking about, but I'll show you what I did here:

A triangle = 180 degrees.

4x + 8x + 4x =16x

-8 - 1 - 3 = -12

180 = 16x - 12        -Add 12 to both sides

192 = 16x               -divide by 16 to get x by itself

12 = x

Angle A = 88 degrees (8 times 12 then subtract 8)

Angle B = 47 degrees (4 times 12 then subtract 1)

Angle C = 45 degrees (4 times 12 then subtract 3)

Answer/Explanation:

It might not help you figure out the exact answer, but it definitely helps you estimate. By knowing that 14x50=700, you can guess that 14x49 equals something close to 700.

Hope this helps! Have an amazing day ❤

Answer:

m∠S = 142°

Step-by-step explanation:

If TR ≅ ST, then...

T≅S

R≅T

Answer:

Step-by-step explanation:

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

I have attached an image of the complete question.

Answer:

Options A & F are correct

Step-by-step explanation:

From the image attached, we have the following recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

Wednesday: 3° F

Thursday: 5° F

Option A is correct because the temperature on Monday and Tuesday is negative and thus below zero.

Option B is not correct because the temperature on Monday and Thursday are not the same since they are -5° F and 5° F respectively

Option C is not correct because the temperature on all days was not above zero since on Monday and Tuesday had negative temperatures

Option D is not correct because the lowest temperature below zero is on Monday and not Thursday

Option E is not correct because the temperature on Wednesday and Thursday are positive and not below zero.

Option F is correct because Monday had a temperature of -5° F which is the lowest gotten below zero

The temperature on Monday and Tuesday is negative and thus below zero.

The temperature on Monday had a temperature -5F which is the lowest value below zero.

Given,

Jane recorded temperature for 4 days in January.

Monday: -5° F

Tuesday: -1° F

 Wednesday: 3° F

 Thursday: 5° F

According to the question,

Compare the temperature from the given value of the temperature.

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Answer:

-0.45, 2/5, 54%

Step-by-step explanation:

54%=54/100

=87/50

2/5=20/50

-0.45 must be the smallest as it is negative

Answer:

-3 1/3

Step-by-step explanation:

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.