3x + 2x = 90 {the two angles add up to 90°}
5x = 90 {combined like terms}
x = 18 {divided both sides by 5}

angle 1 = 3x
= 3(18) {substituted 18, in for x, into 3x}
= 54° angles add up to 90°

angle 1 = 3x
angle 2 = 2x

4 0

4 years ago

Two types of plastic are suitable for an electronics component manufacturer to use. The breaking strength of this plastic is imp

Allushta [10]

Answer:

(a) Null Hypothesis (H₀) = Mean of x₁ > Mean of x₂

Alternative Hypothesis (H₁) = Mean of x₁ ≠ Mean of x₂

(b) We will use here t-test for two sample means which is given by,

$[tex]t = \frac{\bar_{x_{1}}-\bar_{x_{2}}}{\sqrt{s^2(\frac{1}{n_{1}}+\frac{1}{n_{2}} )}}$ [/tex]

Putting all values we get, t = 17.5 with 20 degree of freedom

At α = 0.05

p-value = 95% Confidence Interval for the Difference ( 6.6068 , 8.3932 )

8 0

3 years ago

Solve the compound inequality shown below. Show steps. -4< 3x -1<5

Liono4ka [1.6K]

Add 1 to all parts.
-4+1<3x-1+1<5+1
-3x<3x<6
-3/3<3x/3<6/3
=-1hope this helps!

7 0

3 years ago