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stepladder [879]
3 years ago
9

I'm having some trouble with this question (picture included)

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0

Answer:

2400

5400

8400

Step-by-step explanation:

You need to know the Divisibility Rules for 3, 5, and 8.

For 3: If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

For 5: If the last number is either 0 or 5, the entire number is divisible by 5.

For 8: If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8.

You can put 0 to the end to meet the requirements of the divisibility rule of 5,

so it should be like _ _ _ 0

for 8, you can use 400 so it should look like _ 400

For 3, the sum of the digits needs to be divisible by 3

if we say X to the first digit the sum of the digits is x+4

we can use 6 and 9, so x can be 2, 5, and 8.

Therefore we have:

2400

5400

8400

Paul [167]3 years ago
5 0
2400 ya Hurd me playa
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When the equation is graphed is it linear or nonlinear ??
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Answer:

Nonlinear

Step-by-step explanation:

This is nonlinear because its parent function is y = x^{2}. The parent function of a linear equation is y = x.

I hope this helps :))

8 0
3 years ago
Read 2 more answers
Which algebraic rule describes the transformation?
Olegator [25]

Answer:

C) (x,y) -> (-x,-y)

Step-by-step explanation:

This is the answer because the graph was flipped. If you look a the x point, it is in the same number, but the number is negative, and this is the same for the y point. hope this helps

7 0
3 years ago
We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2
Aliun [14]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

3 0
3 years ago
A brace for a shelf has the shape of a right triangle. Its hypotenuse is 10 inches long and the two legs are equal in length. Ho
vagabundo [1.1K]
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2 Hope this helps!!
3 0
3 years ago
An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard devia
Tems11 [23]

Answer:

The value is  \sigma_{\= x} = 1.789

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20  

    The sample mean is \= x = 122.5

    The standard deviation is  s =  8

Generally the standard error of the mean is mathematically represented as

       \sigma_{\= x} =  \frac{s}{\sqrt{n} }

=>    \sigma_{\= x} =  \frac{8}{\sqrt{20 } }

=>    \sigma_{\= x} = 1.789

8 0
3 years ago
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