A square piece of fabric has an area of 425 ft2. What is the length of each side of the fabric?

Answer:

Step-by-step explanation:

Answer:

b. If there is a linear relationship between the amount of mercury in a lake and the surface area of the lake, the probability of observing a test statistic of 2.086 is 0.05.

( the null is rejected and alternate is accepted)

Step-by-step explanation:

Here the critical value is t≥ t∝/2(n-2) = ± 2.086

The significance level is ∝= 0.05 and  the p- value is also 0.05

Which indicates that there is no correlation between the dependent and the independent variable.

If the p - value is less than 0.05 the null hypothesis is rejected.

There is a 5% chance that the  hypothesis is true.

So the null hypothesis should be rejected.

Given these options

a) if------as 2.086 or more extreme is 0.05

2.086 or 0.05 is the same in this case one cannot be more extreme.

c)  of 2.086 or greater is 0.05.

b). If there is a linear relationship ------.

This is the alternate hypothesis.

0.05 is not greater than 2.086 in the given question

d)  If there is not a linear relationship between the amount of mercury in-----.

This is the claim which is formulated as null  hypothesis.

e) if----  2.086 or more extreme is 0.05.

0.05 is the same as 2.086

At p- value 0.05 we reject the null hypothesis and accept the alternate hypothesis

Answer:

Step-by-step explanation:

Correct choice is B

Step-by-step explanation:

[tex] \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} [/tex]

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

cos²θ +sin²θ = 1 and cosθ =4/5

(4/5)² + sin²θ = 1 so : sin²θ = 1 - 16/25

sin²θ = 9/25 = (3/5)²

sinθ = 3/5 or sinθ = - 3/5 because : (3/5)²= (- 3/5)²= 9/25

Answer:

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2

Answer:

10

Step-by-step explanation:

Answer:

a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football

b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football

d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

22% are turned to that game

This means that [tex]p = 0.22[/tex]

Sample of 20 households:

This means that [tex]n = 20[/tex]

a. Find the probability that none of the households are turned to nbc Sunday night football:

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.

b. Find the probability that at least one of the households is turned to nbc Sunday night football.

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

Since P(X = 0) = 0.007

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993[/tex]

0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)

This is

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007[/tex]

[tex]P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046[/tex]

0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.

d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?

A measure is considered unusually low if it is more than two and a half standard deviations below the mean.

The mean is:

[tex]E(X) = np = 20*0.22 = 4.4[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526[/tex]

4.4 - 2.5*1.8526 = -0.2.

1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Answer:

Step-by-step explanation:

According to Angle sum property of triangle,

x + 45° + 85° = 180°

=> x = 180 - 85 - 45

=> x = 180 - 130

=> x = 50

Hence,

The missing angle x is 50° (Ans)

Answer:

45+85+x=180(sum of angle of triangle)

or, 130+x=180

or, x=180-130

x=50

Step-by-step explanation:

here, the sum of angle of triangle is 180

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8

Answer:

[tex]a)\ \ 4[/tex]

Step-by-step explanation:

A secant is a line that intersects a circle in two points. The product of the lengths theorem is a theorem that forms a ratio between the lengths of the secants when two secants intersect in a circle. Let ([tex]secant_1[/tex]) and ([tex]secant_2[/tex]) refer to the entirety of the secants. ([tex]part_1_a[/tex]) and ([tex]part_1_b[/tex]) will refer to the different parts of ([tex]secant_1[/tex]). ([tex]part_2_a[/tex]) and ([tex]part_2_b[/tex]) will refer to the different parts of ([tex]secant_2[/tex]).

[tex]part_1_a*part_1_b=part_2_a*part_2_b[/tex]

Substitute with the given values in the problem,[tex]part_1_a*part_1_b=part_2_a*part_2_b[/tex]

[tex]x*9=3*12[/tex]

Simplify,

[tex]x*9=3*12[/tex]

[tex]9x=36[/tex]

Inverse operations,

[tex]9x=36[/tex]

[tex]x=4[/tex]

Answer:

$30.25

they each put together $30.25

Step-by-step explanation:

121.00 divided by 4 =

30.25

Answer:

It's exactly normal, because both populations are normally distributed.

Step-by-step explanation:

Khan Academy

Answer: 12 tigers

Step-by-step explanation:

Since the ratio of lions to tigers is 1:3, meaning that for every one lions there three tigers and there's 4 lions and for every one lion there 3 tigers so we need to mulitpy 4 by 3

4×3=12 meaning there 12 tigets in the zoo.

Answer:

There are 12 tigers!

Explanation:

Let the tigers be X.

The ratio is 1:3, so it means that 1:3 = 4:X

1 x X = 3 x 4

X = 12

So, there are 12 tigers.

Have a good day!

Answer:

5,7%

Step-by-step explanation:

190270 is 100%

1% is 1902,7

10770/1902,7 = 5,66

Answer:

D is Permutation with repetition right

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 6-10

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

Answer:

x = 10

y = 20

Step-by-step explanation:

7x + 90 + 20 = 180

7x = 70

x = 10

5x + 2y = 90

50 + 2y = 90

2y = 40

y = 20

Answer:

C (3 inches by 6 inches)

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

11-7=4

34+4=38

Answer:

38

Step-by-step explanation:

34 + (x - 7)                           original equation

34 + ((11) - 7)                        plug in the variable

34 + 4                                  simplify in parentheses

38                                        simplify (answer)

Answer:

About 80% of the students would prefer the shorter school day

Step-by-step explanation:

20/25=.8

80/100=.8

If the results are similar then that will be your answer

Answer:

Step-by-step explanation:

Angle 1=24°

Angle 2=90°

Angle 3=90-24= 66°

Answer: 19.101 miles north

Step-by-step explanation:

Now were given an right angled trinagle with the with the 2nd angle being 23 degrees and given a triangle leg length of 45 miles which is adjcent to the angle and were trying to find how find out how far north it went meaning were trying to find how far up it went thus trying to find the side opposite of the angle.

So now we know our facts we need a trig function which uses both the adjacent and opposites sides, that would be tangent.

Answer:

6.5 hours

Step-by-step explanation:

156 ÷ 24 = 6.5

have a nice dayyy :)

Answer:

2031

Step-by-step explanation:

3.63=0.046x+2.664

0.966=0.046x

21=x

2010+21=2031

Answer:

B is not correct. rational numbers can be negative

Answer:

-6

Step-by-step explanation:

Let the number be 'x'

Sum of a number and one = x + 1

Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2

Four less than the number = x - 4

2x + 2 = x - 4

Subtract 'x' from both sides

2x - x + 2 = x - x - 4

x + 2 = -4

No, subtract 2 form both sides

x + 2 -2 = - 4 - 2

x = -6

Answer: The coordinates of the triangle JKL are (1,2),(4,2) and (3,5)

We need to determine the coordinates of the triangle J'K'L' rotated 360° clockwise with the origin.

Coordinates of the triangle J'K'L':

The rule to rotate the triangle 360° clockwise with the origin is given by

(x,y) => (x,y)

The coordinates of the point J' is given by

(1,2) => (1,2)

The coordinates of the point K' is given by

(4,2) => (4,2)

The coordinates of the point L' is given by

(3,5) => (3,5)

Therefore, the coordinates of the triangle J'K'L' are (1,2), (4,2) and (3,5)

HOPE THIS HELPS