X/3-10=12
x/3=-2
x=-6
p/5+10=14
p/5=4
p=20
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The 95% confidence interval of the mean score of all New Jersey third graders is (58.957 , 63.043)
The sample size is n = 184
The sample average is 
The standard deviation is 
The 90% confidence interval for the difference in mean score between lowa and New Jersey is (-6.33 , -1.67 )
The p-value is 
Generally given that the p-values is very low compared to the level of significance (100 -90 = 10% = 0.10 ) we can reject the null hypothesis which is usually a claim that the means of the population are the same )
Hence the population means are different .
You can get the tens digit of any number <em>n</em> by computing the quotient
(<em>n</em> (mod 100)) / 10
and ignoring the remainder.
Taking the given sum (mod 100) gives
7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)
since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,
• every term beyond 100! is obviously a multiple of 100
• every term beyond 25! contains a factor of both 4 and 25
• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)
The remaining sum is easy to compute by hand:
7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240
so the tens digit is 4.
The two given triangles have two sides in the first equal to two sides in the second and an angle in the first equal to an angle in the second.
This means that we're looking for congruent triangles using SAS rule, this means that two sides and the included angle in one triangle are equal to the CORRESPONDING two sides and the included angle in the second triangle.
For the two given triangles:
JK = LK
NK = MK
angle JKN = angle LKM
Following this sequence, we can say that:
triangle JKN is congruent to triangle LKM
Checking the choices, we will find that the correct choice is: D
Answer: 1/864 =0.00116
Step-by-step explanation: simplify 3/8
divide 3/8 by 5= 3/40
3/40 divided by 24 =1/720
10/27 X 1/320= 1/864
simplify 10/27 and get 1/864 as a fraction but in a decimal 0.00116
