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3 years ago

WHAT IS DIRECT AND WHICH IS NON DIRECT

Mathematics

1 answer:

Yuliya22 [10]3 years ago

4 0

y = (a number) * x is direct.

Y=3X direct

X=-1

Y=(2/7)X direct

-0.5X=Y direct

Y=2.2X +7

Y=4

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What’s the answer and How do you do these

Svet_ta [14]

It’s 45 degrees; since the line is intersecting 2 parallel lines, the angles are the same. similarly, the angle to the right of “angle 2” would be 135 degrees

4 0

3 years ago

SYSTEM OF EQUATION WITH SUBSTITUTION

VMariaS [17]

Answer: x=6, y=4

Step-by-step explanation:

substitute y with (x-2) in the 1st equation

10x-9(x-2)=24

10x-9x+18=24

x+18=24

x=6

Then use 6 for x to solve for y

y=6-2

y=4

4 0

3 years ago

A farmer sells carrots and squash. A customer buys 1 pound of carrots and 1.5 ponds of squash for $7.00. Another customer buys 4

Otrada [13]

Answer:

$1.75

Step-by-step explanation:

1 pound of carrot and 1.5 pounds of squash cost $7.00.

1c + 1.5s = 7 ----------------- [ 1 ]

4.5 pounds of carrot and 1.75 pound of squash cost $14.00.

4.5c + 1.75s = 14 ----------------- [ 2 ]

[ 1 ] x 4.5:

4.5c + 6.75s = 31.5 ----------------- [ 1a ]

[1a] - [2]:

5s = 17.5

s = $3.50

Sub s = 3.5 into [ 1 ]:

1c + 1.5 (3.5) = 7

1c + 5.25 = 7

1c = $1.75

8 0

3 years ago

2 square numbers that add up 125

drek231 [11]

Answer:

There are two answers, firstly 1*125. Then, factoring 125 as a product of primes, you get 5^3. The only two numbers you can get out of 5^3 other than 125 are 5^1 = 5 and 5^2 = 25. So there's your other answer: 5*25.

6 0

3 years ago

g In a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained

Marat540 [252]

Answer:

95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

Step-by-step explanation:

We are given that in a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained a flu shot.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of residents 65-years or older who had obtained a flu shot = $\frac{28}{111}$ = 0.25

n = sample of residents 65-years or older = 111

p = population proportion of residents who were getting the flu shot

Here for constructing 95% confidence interval we have used One-sample z test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.25-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ , $0.25+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ ]

= [0.169 , 0.331]

Therefore, 95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

7 0

3 years ago