Answer:
x = 7
Step-by-step explanation:
<u>Distribute </u>-
12x − 66 + 15 = 3x + 12
<u>Combine Numbers and Variables</u> -
12x - 51 = 3x +12
<u>Get x on one side (isolate x)</u> -
9x - 51 = 12
9x = 63
<u>Divide 9</u> -
x =7
Answer:
5/7
Step-by-step explanation:
There are 7 cards, all of which have an equal chance of being chosen.
And in this case, because there are 7 cards in total, they each have a 1/7 chance of being chosen. Because there are 5 cards greater than 4, you have a 5x1/7 chance =5/7 chance of choosing a number greater than 4.
P.S. If you need it as a percentage, then it is 71.428571%.
P.P.S. Remember if you like the answer then mark as brainliest thank you!
Answer:
Step-by-step explanation:
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02
Answer:
£10200
Step-by-step explanation:
Amount borrowed (P) = £6000
Rate of interest (R) = 7%
Time (T) = 10 years
First, let us calculate the simple interest (SI) for 10 years.
Formula for simple interest is given as:
Plugging the values of P, R and T in the above formula, we find:
S.I.= £4200
Total money paid back at the end of the 10 years
= £6000 + £4200
= £10200
Answer:
The sum of the sequence 1+3+5+7+...1001 is 251001.
Step-by-step explanation:
Given sequence is 1 + 3 + 5 + 7 + ....+ 1001.
Here, and so on upto
Lets find the difference between each term
We see that the difference between each term of the given sequence is 2 . Thus, it is an Arithmetic sequence.
Since we have to find the sum of the sequence
Sum of sequence of a given Arithmetic sequence is given as :
.............(1)
But, first find the number of terms,
Put values, we get,
Now put values, , and
in (1), we get,
Thus, the sum of the sequence 1+3+5+7+...1001 is 251001.