Hailey is 2 years younger than her sister. If Hailey is h years old, which equation represents the age of her sister, s?

Answer:

The researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

Step-by-step explanation:

Here, we want to state what the conclusion of the researcher should be:

From the last part of the question, we can see that the test statistic is greater than the critical value

So what do we do in a case like this?

We can see that the researcher is trying to see if there is a correlation between hours worked out and the number of pounds lost over a specific period of time.

Now, let us form the null hypothesis;

The null hypothesis here H0 is that we do not have a correlation between number of hours spent working out and the amount of pounds lost

The alternative hypothesis here H1 is that there is a correlation between the number of hours spent working out and the amount of pounds lost

Since we have the value of the test statistic greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis

So therefore, the researcher will conclude that there is a correlation between the number of hours worked out and the amount of pounds lost by people on the exercise program

Answer:

86.36%

Step-by-step explanation:

Answer:

116%

Step-by-step explanation:

990% of 855 = 1.15789473684  or

= about 116%

Answer:

[tex]9.8704 * 10^1[/tex]

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

[tex]A * 10^n[/tex]

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = [tex]9.8704 * 10^1[/tex]

Note the when the decimal point is shifted backwards the value of n is always positive. Hence the expansion in power of 10 is [tex]9.8704 * 10^1[/tex]

Answer:

68 or 62 degrees

Step-by-step explanation:

If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle

are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).

If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:

(180-56)÷2=measure of each base angle

180=sum of angle measures in a triangle

56=measure of third angle

With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)

The other angles that could be in that  isosceles triangle should be considered as the 56°, 68°, or 62°.

Since One angle of an isosceles triangle measures 56°.

So in the case when  56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°

Now

In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.

hence, The other angles can be 56°, 68°, or 62°.

learn more about an angle here: https://brainly.com/question/24283305

Answer:

x = -4

y = -6

Step-by-step explanation:

I just use my calculator to do this

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

Answer: A. S(n) =11+4n

Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.

Answer:

5 bags

Step-by-step explanation:

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]

[tex]z = \dfrac{5.5}{3.536}[/tex]

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

Answer:

i believe its 163.475 pounds of candy

Step-by-step explanation:

i multiplied 25.15 by 6.5

Answer:

163.475 pounds of candy.

Step-by-step explanation:

If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.

Answer:

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

She received $18.11

Step-by-step explanation:

25.63-7.52= $18.11

Answer:

8. $18.11

10. 71

Step-by-step explanation:

25.63 - 7.52 = 18.11

90 - 19 = She is old. JK

90 - 19 = 71

Answer:

t = 3/16

Step-by-step explanation:

Solve the proportion fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction

From the above question, we are to solve for t

The above expression is written Mathematically as:

15t/5 = 2t + 3/6

We cross Multiply

15t(6) = 5(2t + 3)

90t = 10t + 15

Collect like terms

90t - 10t = 15

80t = 15

t = 15/80

t = 3/16

Answer: rate this 5 stars or your gay

Step-by-step explanation:

Just do it

Answer:

well, y 2x+4 has to be y^2x+4

Answer:

just like you did it all right before the text was released

Answer:

1 percent of 250? = 27.5.

Step-by-step explanation:

Answer:

40 + -40 = 0

Step-by-step explanation:

hope this helps!

Answer:

40 + -40 =0 (your answer)

2538494 + -2538494 = 0 (example)

4 + -4 = 0 (example)

-18 + 18 = 0 (example)

-82 + 82= 0 (example)

just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.

Answer:

Six division word problems answer had to be correct!

Got You✌

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

Answer:

First question

The correct option is  A  

Second question

  The  correct option is  E

Step-by-step explanation:

From the question we are told that

    The  population  mean is  [tex]\mu = 50 \ mpg \ (miles \ per \ gallon )[/tex]

     The  sample size is  n = 30  

      The population standard deviation is  [tex]\sigma = 2.3 \ miles[/tex]  

      The sample mean is  [tex]\= x = 49 \ mpg[/tex]

        The  level of significance is  [tex]\alpha = 0.05[/tex]

The  null hypothesis is [tex]H_o : \mu = 50 \ mpg[/tex]  

The  alternative  hypothesis is  [tex]H_a : \mu < 50 \ mpg[/tex]

Generally the test statistics is mathematically represented as

       [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>     [tex]t = \frac{ 49 - 50 }{ \frac{2.3}{ \sqrt{30 } } }[/tex]

=>     [tex]t = -2.38[/tex]

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

       [tex]df = 30 - 1[/tex]

       [tex]df = 29[/tex]

Generally from the student t distribution table the probability corresponding to  -2.38 to  the left  at a degree of freedom of [tex]df = 29[/tex] is  

           [tex]p -value = P( t < -2.38 ) = 0.0174[/tex]

From the value obtained we see that

           [tex]p-value < \alpha[/tex]  hence  

The decision rule  

Reject  the null hypothesis  

The conclusion is  

There evidence to reject the manufacturer's claim because the p-value of  0.0174 is less than the significance level E

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

Answer:

I think it is $59.5

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings

[tex]1\frac{1}{4}[/tex] can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]

Hence,

128 servings can be made using 1 gallon of milk.

Answer: [tex]d = 103.23 miles[/tex] apart.

Step-by-step explanation:

given data:

ship a = 20miles. = 60miles

ship b = 28miles. = 84miles

time interval = 3hrs.

θ = 90

[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]

[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]

[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-0[/tex]

[tex]d = \sqrt{10656[/tex]

[tex]d = 103.23 miles[/tex]

Answer/Step-by-step explanation:

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle.

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

Solving algebraically, x can be found as follows:

132° = 3x + 54°

132° - 54° = 3x (subtraction property of equality)

78° = 3x

78°/3 = 3x/3 (division property of equality)

26 = x

x = 26

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

[tex]y = mx+b[/tex]

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]