Answer:
That sucks
Step-by-step explanation:
{ x + y = 1 * ( - 2 )
2 x + 3y = -4
- 2 x - 2 y = - 2
2 x + 3 y = - 4
_______________
y = - 6
Subsititute y = - 6
<span>
2 x + 3 y = - 4
2 x + 3 * (-6) = -4
2 x - 18 = - 4
2 x = - 4 + 18
2 x = 14
x = 14 / 2
x = 7
The solution to the system of equations are:
x = 7 and y = - 6
hope this helps!</span>
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:


0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
The amount is sufficient to make 75 tarts.
Step-by-step explanation:
We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.
The half cup of hazelnuts will weigh 2 ounces
.
1 kg equals 35.274 ounces.


Since each tart needs ½ cup of hazelnuts and half cup of hazelnuts will weigh 2 ounces, so we will divide 176.37 ounces by 2 to find number of tarts.

Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.
Answer:
Measure of exterior angle ABD = 136°
Step-by-step explanation:
Given:
measure of ∠A = (2x + 2)°
measure of ∠C = (x + 4)°
measure of ∠B = x°
Find:
Measure of exterior angle ABD
Computation:
Using angles sum property
∠A + ∠B + ∠C = 180°
So,
(2x + 2) + (x + 4) + x = 180
4x + 6 = 180
4x = 176
x = 44
So,
measure of ∠B = x°
measure of ∠B = 44°
Measure of exterior angle ABD = 180 - measure of ∠B
Measure of exterior angle ABD = 180 - 44
Measure of exterior angle ABD = 136°