Sarah and Henry share some sweets in the ratio 5:6 .
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2 .
How many sweets did Henry have?

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

Answer:

x - intercept: 4

y - intercept: 2

Step-by-step explanation:

The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.

The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

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

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Step-by-step explanation:

1)

[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]

[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]

[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]

[tex] \frac{ + 1}{ - 23} [/tex]

[tex] - \frac{1}{23} [/tex]

2)

[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]

[tex] \frac{ - 11}{ - 2} [/tex]

[tex] + \frac{11}{2} [/tex]

3)

[tex] \frac{16 - 8}{9 - 20}[/tex]

[tex] \frac{6}{ - 11} [/tex]

[tex] - \frac{6}{11} [/tex]

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

Answer:

Congruent, SSS

Step-by-step explanation:

The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.

Hope this helps :)

Answer:

no

Step-by-step explanation:

5 is a whole number 0.5 doesn't equal to 1 it is half of 1

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

Answer:

61.2

Step-by-step explanation:

circumference= 2πR

r=d/2

r= 19.5/2

r=9.75

circumference= 2×3.14×9.75

circumference= 61.2

Answer:

y=-2x-8

Step-by-step explanation:

Answer: seven hundred thirty-five thousand, nine

Step-by-step explanation:

If i remember that should be the answer hope it helps

Answer:

882-28282=9191

Step-by-step explanation:

Answer: 18 miles per hour

Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

Answer:

C

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Tell me if you need an explanation

Answer:

it's false.

4×4×4= 64.

Answer:

She has $3.74 in quarters. I'm kind of confused but hopefully this helps??

Step-by-step explanation:

0.75 x 5= $3.75

$3.75/0.25= 15 quarters

Answer:

l

Step-by-step explanation:

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

Answer:

99 square units

Step-by-step explanation:

The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.

Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.

original area = 11 square units

scaled area = 9 * 11 square units = 99 square units

Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate