A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1, 8.1). Which of the following claims is supported by the interval?
A. All southern frogs croak more times per hour than do all northern frogs.
B. The northern frogs are likely to have a greater mean number of croaks per hour than the southern frogs.
C. The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
D. All frogs in the study have about the same number of croaks per hour.
E. The northern and southern frogs have the same mean number of croaks per hour.

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Answer:

25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x-y=-5

y=3x+5

20x-3(3x+5)=4

20x-9x-15=4

11x=19

x=[tex]\frac{19}{11}[/tex]

y=3([tex]\frac{19}{11}[/tex])+5

y=[tex]\frac{112}{11}[/tex]

Answer: -1

Step-by-step explanation:

Answer:

Rate in still water = 27 mph

Rate in the current =36 mph

Step-by-step explanation:

The rate is the speed the boat use to travel in the water

The distance travelled upstream = 108 miles

The time taken to travel upstream = 4 hours

The rate in still water /upstream = 108/4 = 27 mph

The rate in the current /downstream = 108/3 =36 mph

Answer:

   [tex]x = \sqrt{\frac{7}{2} }[/tex]

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    [tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]

   [tex]cos45 = \frac{x}{\sqrt{7} }[/tex]

      [tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]

       [tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]

      [tex]x = \sqrt{\frac{7}{2} }[/tex]

     x = 1.8708

Answer:

33

Step-by-step explanation:

because 165 divided by 5 is 33 and if you add 33 5 times it gives you 165

Answer:

58080 Yards

Step-by-step explanation:

165/5 = 33 miles an hour

33 miles an hour ~ 58080 yards an hour

Answer:

[tex]\frac{3}{52}[/tex]

Step-by-step explanation:

Hope this helps! Ask me anything if you have any questions! I'm free to help you anytime!

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Answer:

$5 for 8 pens

Step-by-step explanation:

0.625 times 8= 5 dollars

0.625 times 50= 31.25

which is way cheaper

Answer:

5 for 8 pens

Step-by-step explanation:

I did it on a paper.

Lol

Answer:

a. quadrant II

b. quadrant III

c. quadrant I

d. quadrant IV

e. y axis

f. x axis

Step-by-step explanation:

Answer:

1..........................

Answer:

Andre scored 14 points.

Step-by-step explanation:

set up expressions with the info given:

Diego's points: a –9

Andre's points: 2d. and

n = 2d

Noah's points = 10

Use the expressions to set up equations to solve.

To find a, Andre's points, we can work backwards.

Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:

10 = 2d. Divide both sides by 2

5 = d

Substitute the value of d, Diego's points, to make an equation using the first expression:

5 = a –9 Add 9 to both sides.

5 + 9 = a a = 14

Andre scored 14 points

Answer:

=2/3

Step-by-step explanation:

Answer:

81 squared feet

Step-by-step explanation:

Answer:

False

If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation

Answer:

The dimension is: 232ft by 85ft

Step-by-step explanation:

Given

Shape: Rectangle

[tex]A = 19720[/tex] --- Area

[tex]P = 634[/tex] --- Perimeter

Required

Determine the dimension

Area is calculated as:

[tex]A = L * W[/tex]

This gives

[tex]19720 = L * W[/tex]

Perimeter is calculated as:

[tex]P = 2(L + W)[/tex]

This gives

[tex]634 = 2(L + W)[/tex]

Divide both sides by 2

[tex]317 = L + W[/tex]

Make L the subject

[tex]L = 317 -W[/tex]

Substitute 317 - W for L in [tex]19720 = L * W[/tex]

[tex]19720 = (317 - W)*W[/tex]

Open brackets

[tex]19720 = 317W - W^2[/tex]

Rewrite as:

[tex]W^2 - 317W + 19720 = 0[/tex]

Expand

[tex]W^2 -232W - 85W + 19720 = 0[/tex]

Factorize:

[tex]W(W -232) - 85(W - 232)= 0[/tex]

[tex](W - 85) (W - 232)= 0[/tex]

Split

[tex]W = 85\ or\ W = 232[/tex]

Recall that:

[tex]L = 317 -W[/tex]

[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]

[tex]L= 232\ or\ L = 85[/tex]

Hence, the dimension is: 232ft by 85ft

The dimension of the  rectangular rink is 85ft by 232ft

Given the following parameters

The formula for finding the area is:

A = lw

lw = 19,720

l = 19,720/w

If the perimeter is 634 feet

2(l+w) = 634

2(19,720/w + w) = 634

39,440/w + 2w = 634

39,440 + 2w^2 = 634w

2w^2 - 634w + 39,440 = 0

On factorizing, w=85 or w=232

Since l = 19,720/w

l = 19,720/232

l = 85

Hence the dimension of the  rectangular rink is 85ft by 232ft

Learn more on area of triangle here: https://brainly.com/question/17335144

Answer:

half of them 50% .5 4/8 1/2

Answer:

4/8 or 1/2 or 50%

Step-by-step explanation:

According to your info in the question:

4 planets are gas giants.

8 total planets.

4 / 8 simplified is 1/2

Answer:

8 feet

Step-by-step explanation:

56/7= 8. hope this helps!

Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

Answer:31

Step-by-step explanation:

59=64

(a) The lowest fuel efficiency in 30's is 31

(b) The lowest fuel efficiency in the overall sample is 13

(c) There are 4 cars in the sample that have fuel efficiencies in 40's

Given :

Stem and leaf display of data

Fuel efficiency (miles per gallon)

1    3

2    3 9

3    1 1 6 7

4    3 4 5 6

5    1 3 3 8

Explanation :

(A) We need to find the lowest fuel efficiency in 30's

So we look at the data's in third row

It shows the fuel efficiency of 31,31,36,37 miles per gallon

The lowest fuel efficiency in 30's is 31

(B) Lets write the fuel efficiency from the given table

13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58

The lowest fuel efficiency in the overall sample is 13

(C) Lets write the fuel efficiency of 40's

43, 44, 45, 46

So, there are 4 cars in the sample that have fuel efficiencies in 40's

Learn more : brainly.com/question/19228281

Answer:

f(-3)= -8

f(2) = 4

Step-by-step explanation:

The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.

3(-3) + 1 = -8

The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.

[tex]\frac{3}{8}(24)=\boxed{9}[/tex]

A total of 6 students play sudoku and checkers both.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Number of students = 24

Fraction who plays checkers = 2/3

So,

⇒ 2/3 × 24 = 16 students.

Now,

3/8 fraction of students(out of this 16) also play sudoku

So,

3/8 × 16 = 6 students.

Hence "A total of 6 students play sudoku and checkers both".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

The given question is incorrect,the correct question is ;

In Mr. Barclay's classroom, 2/3  of the students play checkers. Of the students who play checkers 3/8,  also play sudoku. If there are 24 students in his class, how many play checkers and sudoku? There is/are a student(s) who play both checkers and sudoku

Answer:

20

Step-by-step explanation:

She bought 5 pairs of socks which are 3 dollars each

(5 times 3 = 15 )

With the 25 dollar shorts

( 25 + 15 = 40 )

with a coupon of half off

( 40 divided by 2 = 20)

Answer:

The value of 39% would be called parameter.

Step-by-step explanation:

When a percentage refers to a sample, it is called a statistic.

When it refers to a population, it is called a parameter.

The sample of Indiana voters was intended to represent all Indiana voters;

This means that the percentage will be used with the following meaning:

"39% of all Indiana voters ..."

That is, referring to the entire population(in this case, all Indiana voters), so would be a parameter.

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

Answer:

2.5 meters per second.

Step-by-step explanation:

[tex]\frac{\text{meters}}{\text{seconds}}=\frac{10}{4}=\frac{10/4}{4/4}=\boxed{\frac{2.5}{1}}[/tex]

Max's walking rate should be 2.5 meters per second.

Hope this helps.

Answer:

2.5 meter

You have to do 10÷4 wich is 2.5 and thats your awnser!

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7