Answer:
D) x=9
Step-by-step explanation:
x = 2y- 5
2y = x + 5
y = (x+5) / 2
4x + 7(x+5)/2 = 85
8x + 7x + 35 = 85*2
15x + 35 = 170
15x = 170 - 35 = 135
x = 135/15 = 9
Answer:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
we reject the Null and we conclude that babies prefer actual speaking to humming.
Step-by-step explanation:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
Mean difference, d = 27.79
Standard deviation of difference, Sd = 63.18
Sample size, n = 50
The test statistic :
d / (Sd / √n)
Test statistic :
27.79 / (63.18 / √50)
27.79 / 8.9350012
= 3.11
Using the Test statistic score, we can obtain the Pvalue
Using the standard normal table ;
Pvalue = P(x<-Z or x>Z) = 0.0018709
Pvalue is very low
Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.
33 / (5 1/2) =
33 / (11/2) =
33 * 2/11 =
66/11 =
6 pieces <===
Answer:
(2a + 1)(2a - 5)
Step-by-step explanation:
Given
4a² - 8a - 5
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term
product = 4 × - 5 = - 20 and sum = - 8
The factors are + 2 and - 10
Use these factors to split the a- term
4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )
= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term
= (2a + 1)(2a - 5)
