Having problems with this

Mathematics

2 answers:

Anastasy [175]3 years ago

4 0

Answer:

Step-by-step explanation:

Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45

KatRina [158]3 years ago

3 0

Answer:

45°

Step-by-step explanation:

Corresponding angles are equal. ∠4 and ∠2 are equal.

$x+30=2x+15$

Add -x and -15 on both sides of the equation.

$30-15=2x-x$

$15=1x$

∠4 = x+30

Put x as 15 in the equation.

$(15)+30$

$=45$

You might be interested in

Page

Marizza181 [45]

0.4 kilometers each week.

4 0

4 years ago

In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$