Answer:
D is the correct a
Step-by-step explanation:
From table A-3: Areas under the normal curve
we can deduce that k=0.9
Answer:
4800 beats an hour
Step-by-step explanation:
there are 60 minutes in and hour
the heart beats 80 times per minute( that is actually a very high heart rate)
80*60=4800 per hour
Answer:
5.27 × 10⁷ is the scientific notation for 52,700,000.
Answer: C, A, D
edit - sorry the title was wrong earlier
Step-by-step explanation:
Question 1
in the quadratic formula, the equation is in the format of ax^2 + bx + c
so rearrange this equation so all values are on one side
-6x^2 = -9x + 7
-6x^2 + 9x - 7 =0
so a = -6, b = 9, c = -7
answer = C
Question 2
note that all the values are already on one side for this, so repeat the process from question 1 where the equation is in the format of ax^2 + bx + c
the equation = −6x2 − 8x + 12 = 0
so a = -6, b = -8, c = 12
answer = A
Question 3
(see picture below for steps)
following the same process above, a = 4, b = 45, and c = 24, so plug these values in the quadratic equation shown in the picture below
so you get the answers x = -10.69 and x = -0.56 after putting them in a calculator
answer = D
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
<u>First population:</u>
Sample size
= 49
Population standard deviation
= 3
Sample mean
= 10
<u>Second population:</u>
Sample size
= 64
Population standard deviation
= 4
Sample mean
= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:


Level of significance = 0.01
Using the Z-test statistics;






Z = - 3.037
Z
- 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses 