Solve 19.9 = 9y - 8.

Answers

Answer 1

Answer: 19.9=9y-8
+8
so it is
27.9=9y
÷9y
so your answer is
y=3.1

Answer 2

Answer: if solving for y, the answer would be y=3.1

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Write as a single term: sin(25°) cos(10°) − cos(25°) sin(10°).

Answers

Answer: cos (25° + 10°)

Step-by-step explanation: The expression:

sin(25°) cos(10°) − cos(25°) sin(10°)

is associated to the expression for the cosine of the sum of two angles that is:

cos (α+β) = sinα *cosβ -cosα*sinβ

Hence if we do α = 25° and β = 10°

by subtitution we get:

cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)

You added 3 3/4 cups of flour, 1 1/4 cups of oil, and 2 2/4 cups of water to a bowl for a recipe. How many cups did you combine in total?

Answers

3 3/4 + 1 1/4 + 2 2/4

3/4 + 1/4 + 2/4 = 1 1/2

3 + 1 + 2 + 1 1/2 = 7 1/2 cups total

Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

$Var(X) = E ( X^2) + [ E(X) ] ^2$

- Where,

$E ( X^2) = 0^2*0.15 + 1^2*0.07 + 2^2*0.19 + 3^2*0.09 + 4^2*0.16 + 5^2*0.23 +6^2*0.11 \n\nE ( X^2) = 13.91 \n\n$

$E(X) = 0*0.15\:+\:1*0.07\:+\:2*0.19\:+\:3\cdot \:0.09\:+\:4\cdot \:0.16\:+\:5\cdot \:0.23\:+6\cdot \:0.11\n\nE(X) = 3.17\n\n(E(X))^2 = 10.0489$

- So the variance is:

Var ( X ) = 13.91 - 10.0489 = 3.8611

s.d (x) = √3.8611 = 1.96

Explain the different ways it is possible to add two rational numbers and get a negative number

Answers

Answer:
both numbers are negative
negative number is greater than the positive number

Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
$(-1)/(2) + (-3)/(2) = (-4)/(2) = -2$

2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
$(-5)/(6) + (2)/(6) = (-3)/(6)$

Hope this helps :)

-- If both of them are negative,

or

-- If their signs are different and the negative number has
a bigger absolute value than the positive one,

then

-- Their sum is negative.

Actually, I don't think it matters whether they're rational or not.

Use mental math to find the value of 15/124·230/30÷230/124

Answers

By using mental math the value of 15/124·230/30÷230/124 is 1/2.

How to get better at mental math ?

To get better at mental math or metal calculation we can start by practising doing arithmetic operations of two digit numbers.Then after we can go on increasing the digits when we're getting better at it.Thinking of the easiest way to chunks numbers also helps.

According to the given question

{(15/124)×(230/30)}/(230/124)

First the fraction (230/124) which is in the denominator we flip and multiply.

= (15/124)×(230/30)×(124/230)

Now 124 and 124 on numeration and denominator gets cancelled and same case is applicable for 230 then after we are left with 15/30 which is equal to 1/2.

Learn more about mental math here :

brainly.com/question/721129

#SPJ2

Okay, the first thing to do is to make it so you're multiplying everything instead of dividing by that last fraction. To divide by a fraction, you just multiply by its reciprocal. So then, it's 15/124 x 230/30 x 124/230. After that, let's organize it into one single giant fraction since order of operations allows us to arrange division and multiplication however we want. Then it's 15x230x124 / 124x30x230. Then, you'll notice that the 230s and 124s can both be canceled out, leaving 15/30. After simplifying, your final answer is 1/2.

Which point lies on a circle that is centered at A(3, 3) and passes through B(6, 5)?C(1, 6)
D(6, 0)
E(0, 3)
F(3, -1)
G(3, 6)

Answers

$AB = \sqrt{(3-6)^(2) + (3-5)^(2)} = √(13)$

equation of the circle :

(x - 3)² + (y - 3)² = 13

(1-3)² + (6-3)² = 13 ⇒ C ∈ circle
(6-3)² + (0-3)² = 18 ≠ 13 ⇒ D ∉ circle
(0-3)² + (3-3)² = 9 ≠ 13 ⇒ E ∉ circle
(3-3)² + (-1-3)² = 16 ≠ 13 ⇒ F ∉ circle
(3-3)² + (6-3)² = 9 ≠ 13 ⇒ G ∉ circle

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