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exis [7]
3 years ago
15

What is the largest four-digit negative integer congruent to $1 \pmod{23}?$

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

-1011

Step-by-step explanation:

An integer that is congruent to 1 mod{23} is of the form 23n+1.

Therefore, we form the inequality 23n+1<-999, and find the largest possible integer n. We get

23n+1<-999

23n<-1000

n < 1000/23, or n < -43.48

The largest possible negative integer n is -44. We plug it in for n to get 23 x -44 +1 =-1011.

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Match each equation with the slope m and y-intercept of its graph.
Svetllana [295]

m=-6 and y-int of (0,5) gives you y = -6x + 5.

Looking through those other equations, you're looking for variations of that equation.  

#1 is NOT.

#2 IS, because -6x + 5 is the same as 5 - 6x.

#3 is NOT.

#4 is NOT.

#5 is NOT.

#6 is NOT.

It looks like #2 is the only one.

4 0
3 years ago
Small sample: During an economic downturn, companies were sampled and asked whether they were planning to increase their workfor
leva [86]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The confidence level interval is  0.016 \le C \le 0.404

Step-by-step explanation:

The sample size is  n =  20

The number planning to increase workforce is  x =  3

 The confidence level is  c  = 98%

The value of proportion for a plus 4 method is

      p = \frac{x+2}{n+4}

substituting values

      p = \frac{3+2}{20+4}

       p =0.21

The z-critical value at confidence level of 98% is

     z_{c}=z_{0.98} =  2.33

This values is obtained from the standard normal table

The confidence level interval can be mathematically represented as

      C =p \ \pm z_{c} * \sqrt{\frac{p(1-p)}{n+4} }

substituting values

      C = 0.21 \pm 2.33 * \sqrt{\frac{0.21(1- 0.21)}{20 +4} }

       C = 0.21 \pm 0.194

=>   0.016 \le C \le 0.404

7 0
3 years ago
Bailey wants to buy 1/8 of a box of bananas. Hello buys 2/3 of the box how much of the box will be left over
malfutka [58]

Answer:

13/24

Step-by-step explanation:

just took the test

6 0
4 years ago
The high school band is selling wrapping paper. It costs $4 each week to advertise the wrapping paper. The band buys each roll o
Setler79 [48]
For this case, the first thing we must do is define variables:
 x: rolls of wrapping paper in one week
 We now write the equation that models the profit of the band.
 We have then:
 P (x) = (3.50 - 2) x - 4
 P (x) = 1.50x - 4
 Answer:
 
An equation to model the amount of profit, P, the band makes from x rolls of wrapping paper in one week is:
 
P (x) = 1.50x - 4
8 0
4 years ago
PLEEEEEEEAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEE I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
noname [10]
PLEEEEEEEAAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEE I REALLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A cosmetics company conducted a survey to anticipate potential sales of various new products from its upcoming catalog. The survey was conducted by randomly selecting women from two different age groups with 400 women in each group. The women selected the product that they would most likely purchase when it became available. The results obtained are given in the table shown below.


Products Ages 21 - 30 Ages 31 - 40

Product 1 163 152

Product 2 84 89

Product 3 104 109

Product 4 49 50



Which of the following statements about the data above is true?

A.

The estimates for both age groups show an equal number of women would have voted for Product 3.

3 0
3 years ago
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