Answer: x = 34
Step-by-step explanation:
⁴ ⁻ˣ/₅ + ˣ + 2/₃ = 6
Now resolve into fraction and convert to a linear equation
4 - x /₅ + x + 2/₃ = 6
3( 4 -x ) + 5( x + 2 )/15 = 6
3( 4 - x ) + 5( x + 2 ) = 6 x 15
12 - 3x + 5x + 10 = 90
2x + 22 = 90
2x = 90 - 22
2x = 68
x = 34
Divide 259 by 7 (259/7)= 37 beads per necklace. If you wanted to check just multiply 7 and 37 (37x7)=259
The side b = 136 as I think it’s the two equal sides
Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z=
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.