g According to the U.S. department of Agriculture (USDA), 48.9% of males aged 20 to 39 years consume the recommended daily requirement of calcium. After an aggressive "Got Milk" advertising campaign, the USDA conducts a survey of 35 randomly selected males aged 20 to 39 and finds that 21 of them consume the recommended daily allowance (RDA) of calcium. At the ????=0.05level of significance, is there evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased?

Answer:

4 inches

Step-by-step explanation:

Triangular prism formulas

Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

How to find the height of a triangle - formulas

area = b * l / 2, where b is a base, l - length.

so l = 2 * area / b/w-width.

Solve

1/2 x 6 x 8 x ? = 96

2 x 96 = 192

192/8 = 24

24/6 = 4

length = 4 inches

Answer:

1. (3,-2)

2. (-1, -3)

3. (-4, 5)

4. (2, 5)

Step-by-step explanation:

Answer:

2,205

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer: 389.69

Step-by-step explanation:

Answer: $29.70

Step-by-step explanation:

total x tax rate= 359.99 x 8.25 = 2969.92

divide by 100% = $29.70

sales tax total: $29.70

Answer:

!

Step-by-step explanation:

here it is!!!!!!!!!!!!!!!

Answer:

i think there is something wrong with this problem

Step-by-step explanation:

maximum sum of all exterior angles is 360°

3(50°) = 150

150° + 127° + 135° = 412°

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

Answer:

hmmm I guess it has to be e. if I 'm wrong

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

Answer:

8

Step-by-step explanation:

Use the right triangle altitude theorem. The three triangles are right triangles and are similar.

MP/FP = FP/EP

MP/12 = 12/(EM + MP)

MP/12 = 12/(10 + MP)

MP(10 + MP) = 144

MP^2 + 10MP - 144 = 0

(MP + 18)(MP - 8) = 0

MP = -18  or  MP = 8

Since a side length cannot be negative, the answer is MP = 8

Answer: 8

Answer:

5 t-shirt = 120

1 t-shirt = 120/5= 24

9 t-shirts = 24*9= 216

rs 216

Answer:

If I was you I can go

for A because the function name is one to many

In the figure, angles 1 and 5 are alternate exterior angles. Use the Alternate Exterior ... each pair of alternate interior angles is congruent. ... 1 and 3. SOLUTION: If the radiation rays form parallel lines, then ∠1 and ... supplementary; since 3 and 5 are a linear pair, ... ∠8, ∠9 and ∠10, ∠11 and ∠12, and ∠13 and ∠14.

Answer:

x = 4√7

y = 8√7

Step-by-step explanation:

Reference angle = 60°

Opposite = 4√21

Hypotenuse = y

Adjacent = x

To find x, apply TOA

Tan 60 = Opp/Adj

Tan 60 = (4√21)/x

x * Tan 60 = 4√21

x = (4√21)/Tan 60

x = (4√21)/√3 (tan 60 = √3)

Rationalize

x = (4√21*√3)/√3*√3

x = (4√63)/3

x = (4*3√7)/3

x = 4√7

To find y, apply SOH:

Sin 60 = Opp/Hyp

Sin 60 = (4√21)/y

y*Sin 60 = 4√21

y = 4√21/sin 60

y = (4√21)/(√3/2)

y = ✓(4√21 × 2/√3)

y = (8√21)/√3

y = 8√7

Answer:

5

Step-by-step explanation:

Answer:

56.25

Step-by-step explanation:

100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18

Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

Answer

B Congruent

Step-by-step explanation:

Corresponding angles are congruent when the lines are parallel

Answer:

B) Congruent

Step-by-step explanation:

Corresponding angles are always equal to each other.

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

See attachment for complete question

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

Answer:

the answer you are looking for is B

Answer:

A

Step-by-step explanation:

Its A.....unless im super dum lol

Answer:

11. a)50      12. a)40

Step-by-step explanation:

sum of  all three angles of  trinagle=180

so

111.

80+50+x=180

130+x=180

x=180-130

x=50

12.

60+90+x=180

150+x=180

x=190-150

x=40

Answer:

A and C

Step-by-step explanation:

Answer:

x=154°

Step-by-step explanation:

x+126=180 supplementary

x=180-126=54

Answer:

x = -1.4

Step-by-step explanation:

-3(x + 4) = 2x - 5

-3x + (-3*4) = 2x - 5

The mistake was in the above equation where -3 should be multiplied with 4.

-3x -12 = 2x -5

5 -12 = 2x+3x

-7 = 5x

x = -7/5 = - 1.4