You are watching your weight and keep track of the number of calories in your breakfast cereals. Let X be the number of calories in a randomly selected breakfast cereal box. After gathering data on the boxes, you create the distribution for X below. x n 80 200 250
p n 0.3 0.3 0.4
You tend to get busy and aren’t always aware of the cereal box you grab. In a given week (7 days), you would like to eat fewer than 1500 calories for breakfast, on average. Are you meeting this goal under this diet?

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

answer is 12345678900987654321234567890987654321

step-by-step explanation: