Find the quotient:

–37.44 ÷ 4.8



Check reasonableness by estimating:

–37.44 Almost-equals

4.8 Almost-equals

Estimated quotient:

Complete Question

It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude? (Use the .05 significance level and use the five steps of hypothesis testing.)

Answer:

The researchers  conclusion is  

   There is no sufficient evidence to show that  older people are slower at the laboratory task    

Step-by-step explanation:

From the question we are told that

   The mean time is  [tex]\mu = 2.5 \ seconds[/tex]

    The sample size is  n  =  30

    The  sample mean is  [tex]\= x = 2.7 \ seconds[/tex]

      The  standard deviation is  [tex]\sigma = 1.4 \ seconds[/tex]

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

The null hypothesis is  [tex]H_o : \mu = 2.5[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 2.5[/tex]

Generally the test statistics is mathematically represented as

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

=>  [tex]z = \frac{2.7 - 3 }{ \frac{1.4}{\sqrt{30} } }[/tex]

=>  [tex]z =0.78[/tex]

From the z table  the area under the normal curve to the right  corresponding to  [tex]z =0.78[/tex]   is  

        [tex]p-value = P(Z > 0.78) = 0.2177[/tex]

From the value obtained we see that the p-value  > [tex]\alpha[/tex]

   The decision rule is  

Fail to reject the null hypothesis

    The conclusion is  

There is no sufficient evidence to show that the older people are slower at the laboratory task  

Answer:

52 minutes

Step-by-step explanation:

Equation:

[tex]728+23x=0+37x\\728+23x=37x\\728=14x\\x=52[/tex]

So 52 minutes.

Hope this helps plz hit the crown :D

Answer:

5

Step-by-step explanation:

Answer:

Less Than :)

Step-by-step explanation:

Answer:

Quadrant I: (⅓, 2⅓)

Quadrant II: (-1⅓, 3⅓)

Quadrant III: (-3, -10) (-3⅓, -1⅓)

Quadrant IV: (9, -1)

Step-by-step explanation:

If it is (+, +), it is in quadrant I.

If it is (-, +), it is in quadrant II.

If it is (-, -), it is in quadrant III.

If it is (+, -), it is in quadrant IV.

Answer:

[tex] y = 2x - 5 [/tex]

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2 [/tex]

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in [tex] y = mx + b [/tex]

[tex] -3 = (2)(1) + b [/tex]

[tex] -3 = 2 + b [/tex]

Subtract 2 from both sides

[tex] -3 - 2 = 2 + b - 2 [/tex]

[tex] -5 = b [/tex]

[tex] b = -5 [/tex]

Plug in the value of m and b into the slope-intercept form equation, [tex] y = mx + b [/tex].

Thus:

[tex] y = 2x +(-5) [/tex]

✅[tex] y = 2x - 5 [/tex]

Answer:

7

Step-by-step explanation:

Answer:

2 its given that cd bisects ab at e so that means e is midpoint of ab

3. vertically opposite angles

4.By SAS congruence

Answer:

Step-by-step explanation:

Let us represent

The number of Box seats = x

The number of grandstand seats = y

The number of bleacher seats cost = z

A minor league baseball park has 6800 seats.

Hence,

x + y + z = 6800

Box seats cost $19, grandstand seats cost $9, and bleacher seats cost $4. When all seats are sold, the revenue is $61200.

Hence:

$19 × x + $9 × y + $4 × z = $61200

19x + 9y + 4 z = 61200

If the number of bleacher seats is 2 times the number of box seats

z = 2x

Hence we substitute

x + y + z = 6800

x + y + 2x = 6800

3x + y = 6800.... Equation 3

y = 6800 - 3x

For Equation 2, substituting 2x for z

19x + 9y + 4z = 61200

19x + 9y + 4(2x) = 61200

19x + 9y + 8x = 61200

27x + 9y = 61200...... Equation 4

Combining Equation 3 and 4

3x + y = 6800.... Equation 3

27x + 9y = 61200...... Equation 4

Note that:

y = 6800 - 3x

We substitute the above in Equation 4

27x + 9(6800 - 3x) = 61200

27x + 61200 - 27x = 61200

Box seats:_______ Grandstand seats:_______ Bleacher seats:______

Answer:

answer=answer

Step-by-step explanation:

Y E S

I love simple math.

3.25$ to wash the car.

60 seconds: 1 quarter

how many quarters is 3.25?

4 quarters per dollar. so it'd be 13 quarters, then do 13*60=how many seconds u got. 780 seconds. I think you can do 780/60

HINT: hey, psst, it's 13 minutes. : D

HEY DOn'T teLL tHeM tHe ANSWER. :V

In the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

The ball was thrown up into the air and allowed to bounce until it came to a halt.

As we know,

The parabola can be defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the :

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

Thus, in the interval 0 ≤ x ≤ 4 the height of the ball increase and then decrease option (A) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

Answer:

B

Step-by-step explanation:

6 2/6 x 1 1/2

(6 x 6) + 2 = 38/6

(1 x 2) + 1 = 3/2

38/6 x 3/2 = 114/12.

114 ÷ 12 = 9 6/12

9 6/12 = 9 3/6 = 9 1/2.

B

Answer:

the answer is b) nine and six twelfths

Step-by-step explanation:

hoped that helped

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

4x + 10 = 3x + 37

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

And we have our final answer!

Answer:

129 [tex](1.3526)^{t}[/tex]

Step-by-step explanation:

Assuming N = [tex]ab^t[/tex]

t = number of years after 2011

N = number of wolves

When  t = 0 , N = 129

129 = [tex]ab^0[/tex]

a = 129

N = 129[tex]b^{t}[/tex]

When t = 2 , N = 236

therefore 236 = 129 [tex]b^{2}[/tex]

[tex]b^{2}[/tex]  = [tex]\frac{236}{129}[/tex]

therefore; b = 1.3526

Answer expressed in the form of a(b)^t.

129 [tex](1.3526)^{t}[/tex]

Answer:

 [tex]y= -\frac{1}{3}x -6[/tex]

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

Answer:

[tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex], [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex], [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex],

[tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex], and [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex].

Step-by-step explanation:

Given that two complex numbers have a product of 30 and the real part of the complex numbers are positive integers.

Let one complex number is [tex]a+ib[/tex] where [tex]a[/tex] is a positive integer and [tex]b[/tex] is a real number.

As the product of two complex numbers is a purely real number, so the other complex number must be the conjugate of the first complex number.

So, another complex number [tex]= a-ib[/tex]

As a product of both the numbers = 30

[tex]\Rightarrow (a+ib)(a-ib)=30 \\\\\Rightarroe a^2 - (ib)^2=30 \\\\\Rightarrow a^2 - (i^2b^2)=30 \\\\Rightarrow a^2 - (-1\times b^2)= 30[/tex] [as i^2=-1]

[tex]\Rightarrow a^2+b^2= 30 \\\\\Rightarrow b^2 = 30-a^2 \\\\[/tex]

[tex]\Rightarrow b=\pm \sqrt {30-a^2} \cdots(i)[/tex]

Now, as a is a positive integer, so by taking possible values of a, we can determine the values of b from the equation (i).

For [tex]a=1[/tex]

[tex]b=\pm \sqrt {30-1^2}=\pm \sqrt {29}[/tex]

The positive sign is for the one number and the negative sign is for the conjugate number (another number).

So, the 1st combination is [tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex]

Similarly,

For [tex]a=2[/tex]

[tex]b=\pm \sqrt {30-2^2}=\pm \sqrt {26}[/tex]

So, the 2nd combination is [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex]

For [tex]a=3[/tex]

[tex]b=\pm \sqrt {30-3^2}=\pm \sqrt {21}[/tex]

So, the 3rd combination is [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex]

For [tex]a=4[/tex]

[tex]b=\pm \sqrt {30-4^2}=\pm \sqrt {14}[/tex]

So, the 4th combination is [tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex]

For [tex]a=5[/tex]

[tex]b=\pm \sqrt {30-5^2}=\pm \sqrt {5}[/tex]

So, the 5th combination is [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex]

The higher integral value of [tex]a[/tex] is not possible for any real [tex]b[/tex].

Hence, the possible combinations of required numbers are

[tex][(1+i\sqrt{29}), (1-i\sqrt{29})][/tex], [tex][(1+i\sqrt{26}), (1-i\sqrt{26})][/tex], [tex][(1+i\sqrt{21}), (1-i\sqrt{21})][/tex],

[tex][(1+i\sqrt{14}), (1-i\sqrt{14})][/tex], and [tex][(1+i\sqrt{5}), (1-i\sqrt{5})][/tex].

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (3 x 3) + (1/2 x (3*4) x 5)

= 9 + 30

= 39 km²

Answer:

D

Step-by-step explanation:

Answer:

reflection

Step-by-step explanation:

The correct answer would actually be image... if you need to choose more than one option it could additionally be one of the other options but without a figure it's impossible to tell.

Answer:

D. Ray

Step-by-step explanation:

I just finished the quiz!

Point and line segment are used to define a ray.

A ray is a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.

A line extends infinitely in either direction but has no width and is one dimensional. A point is a 0-dimensional mathematical object with a location.

Point and line segment are used to define a ray.

Find out more on ray at: https://brainly.com/question/10404182

Answer:

89

Step-by-step explanation:

We know that all the inside angles of a triangle summed up is 180 so we just do 68 + 23 which is 91 now we use 180 and subtract 91 from it, 180-91 which equals 89

Answer:

about 50% of a girl and 50% of a boy

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

Hi there.

1a.  m C= 44 degrees

46+90= 136    180-136=44

1b.  m P= 60 degrees

10+110=120  180-120=60

For future reference, you can solve these with some simple addition. The sum of the angles in any triangle is 180, so add your two given pieces together and subtract it from that to get your missing measure.

2a. Lines a and b have a positive slope. You can tell because they are tilted to the right.

2b. Line d has a negative slope. It's tilted to the left.

(Line c's slope is neither positive or negative because it is zero)

3. x= 65

(I'm not so sure about this one, but I think the angle opposite 25 is also 25, and because of parallel rules the angle above 70 is 110. That means the angle above 110, inside the triangle, is 90. So, we have 90 and 25 and that means 65 is our remaining measure. I really hope this is correct. If you have some sort of notes sheet on the rules of parallel lines and their angle measures, that might be helpful)

Answer:

The answer is

[tex] \huge y - 7 = 2(x - 8)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 7 = 6(x - 8)[/tex]

Hope this helps you

Answer:

Clare didn't change the inequality symbol in the last step to >

Step-by-step explanation:

Given inequality is:

[tex]-4x+3<23[/tex]

Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.

The answer must have been x > -5

The correct way to solve is:

[tex]-4x+3 <23\\-4x<20\\x>-5[/tex]

Hence,

Clare didn't change the inequality symbol in the last step to >

Answer:

1.  I belive

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:     y = 2(x +2)  so...  ( 2x 2) = 4 while 2 - x 2 = 8

Answer:

first one.

Step-by-step explanation:

y=2(x+2).

.....

Answer:

7

Step-by-step explanation:

3×7+1=22

2×7+8=22

Answer:

x=10 y=9

Step-by-step explanation:

Step-by-step explanation:

a.5/7

b.12/8= 6/4 = 3=2 =

1 and 1/3

c. 4/6-3/6=

1/6

Answer:    

a.)5/7

b.)1.5 or 1 1/2

c.)1/6

Step-by-step explanation:

Answer:

The answer would be x=4.  

Step-by-step explanation: Step 1: Simplify both sides of the equation.

2x+3(5x−7)=47

2x+(3)(5x)+(3)(−7)=47(Distribute)

2x+15x+−21=47

(2x+15x)+(−21)=47(Combine Like Terms)

17x+−21=47

17x−21=47

Step 2: Add 21 to both sides.

17x−21+21=47+21

17x=68

Step 3: Divide both sides by 17.

17x/17=68

17x=68

x=4