When Rashaad goes bowling, his scores are normally distributed with a mean of 175
and a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Rashaad bowls.

Answer:

A) 60

B) Common ratio, r, = 2/3

The first term, a, = 13.5

Step-by-step explanation:

A)

The formula for  the nth term of a linear sequence is an+b. So we can say:

30=5a+b

75=20a+b

which means

b=30-5a

b=75-20a

30-5a=75-20a

15a=45

a=3

30=5(3)+b

b=30-15=15

So our formula is 3n+15. Sub in 15 for n to find the 15th term: 3(15)+15=45+15=69

B)

The formula for  the nth term of an exponential sequence is arⁿ⁻¹, where a is the first term of the sequence and r is the common ratio. Therefore we can say: 9=ar, and 4=ar³, which means a=9/r and a=4/r³

9/r=4/r³

9r³=4r

9r²=4

r=√(4/9)=2/3

9=a(2/3)

a=27/2=13.5

Answer:

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Step-by-step explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

[tex]A = 4\pi r[/tex]

In which r is the radius.

Volume:

[tex]V = \frac{4\pi r^3}{3}[/tex]

The circumference of the ball is 9.4 inches.

So the radius is:

[tex]6.2832r = 9.4[/tex]

[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]

Surface area

[tex]A = 4\pi(1.53)^2 = 29.3[/tex]

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.

Answer:

[tex]h=5.11ft[/tex]

Step-by-step explanation:

[tex]S=12+6+14/2=16[/tex]

[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]

[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]

[tex]A=\sqrt{16×2×4×10}[/tex]

[tex]A=35.70[/tex]

[tex]A=1/2× base~×height[/tex]

[tex]35.70=1/2×14×h[/tex]

[tex]h=2×35.75/14[/tex]

[tex]h=5.11ft[/tex]

｡･:*:･ﾟ★,｡･:*:･ﾟ☆

hope it helps...

have a great day!!

Answer:

120

Step-by-step explanation:

multiply 10 times 24

then divide 240 by 2

Answer:

13

Step-by-step explanation:

The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:

4 + 4 + 2.5 + 2.5 = 13.

So the perimeter of the shape is 13.

Answer:

13 m

Step-by-step explanation:

2.5 + 4 + 2.5 + 4

2.5 + 2.5 + 8

5 + 8

13

Answer:

12.4 mg

Step-by-step explanation:

a = p(1/2)^(t/h)

p is the initial quantity = 70

t is the time = 15

h is the half life = 6

plug in the givens

a = 70(1/2)^(15/6)

a = 12.3743686708

12.4 mg

Answer: where’s the picture

Step-by-step explanation:

Hum

9514 1404 393

Answer:

  11 bags

Step-by-step explanation:

12. As you noted in problem 11, the volume needed to fill the three pots is 5.05 cubic feet. The number of bags needed is ...

  (5.05 ft³)/(0.5 ft³/bag) = 10.1 bags

10 bags is not quite enough. Rylee should buy 11 bags of potting soil.

_____

Additional comment

As a practical matter, the difference between what Rylee needs and what is contained in 10 bags is about 1%. It would be very difficult to tell that 0.1 cubic foot is missing if Rylee simply used the contents of 10 bags. If Rylee purchases 11 bags, most (4/5) of the last bag will remain unused.

Answer:

8.66 cm

Step-by-step explanation:

From the diagram :

The vase of the triangle = 9.9cm - 4.9 cm = 5cm

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Opposite = √10²-5²

Opposite = √100 -25

Opposite= √75

= 8.66 cm

Answer: 3 3/7 hours

Step-by-step explanation:

you need to find out how much work they can do in an hour.

let x represent the total collaborative work

1/8 + 1/6 = 1/x

3/24 + 4/24 = 1/x

7x = 24

x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)

I cannot guarantee this is correct but hope it helped

Answer:

Circle centered on origin,  (0, 0)

Radius = 7units

To find if the point lies on the circle , check if the distance from the center to the point is 7units.

[tex]distance = \sqrt{(x_{1} -x_{2})^{2} +(y_{1} -y_{2})^{2} } \\(x_{1} ,y_{1} ) =(0, 0)\\(x_{2}, y_{2}) = (-3, 2\sqrt{10} )\\\\distance = \sqrt{(0--3)^2+(0-2\sqrt{10})^2 } = \sqrt{9+40} = \sqrt{49} = 7units[/tex]

Since the distance between the center and the point is 7units. the point lies on the circle.

Circle O is centered on the origin with a diameter of 14 units. Since the distance between the center and the point is 7units. So, the point lies in the circle.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

We have been given a Circle centered on the origin,  (0, 0)

Radius = 7units

In order to find if the point lies on the circle, check if the distance from the center to the point is 7units.

(x, y) = (0, 0)

(p, q) = (-3,2√10)

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

[tex]D = \sqrt{(0-(-3))^2 + (0-2\sqrt{10} )^2} \: \rm units.\\\\D = \sqrt{9+ 40} \\\\D = \sqrt{49} \\\\D = 7[/tex]

Since the distance between the center and the point is 7units. So, the point lies on the circle.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

Answer:

Step-by-step explanation:

The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:

active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:

325 = .45m and divide by .45:

m = 722.2 mg

Answer:

Opposite angles are the same measure.

Angles around a point = 360°

When you add all the angles, you get 360.

Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.

Then, you half that value( divide by 2) and this is to find the measure of the other angle

Answer:

62.8ft

Step-by-step explanation:

circumference= pie x diameter

pie=3.14

diameter=20ft

c=3.14 x 20ft

=62.8ft

Answer:

27

Step-by-step explanation:

14/2+5 x 4

7+20

27

Answer:

27

Step-by-step explanation:

14 divided by 2 + 5 x 4

5 x 4 first (pemdas)

5 x 4 is 20

14 / 2 = 7

7 + 20 = 27

if you don’t know pemdas it’s:

p arenthases

e xponents

m ultiply

d ivide

a dd

s ubtract

Answer:

I would say 54 units (sorry if I'm wrong)

Answer: 0<8xp<8

Step-by-step explanation:

Answer:

8xp < 8 > 0

Step-by-step explanation:

Is your algebra expression i'm pretty sure.

====================================================

Explanation:

The formula given is

[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]

which to be honest is a big ugly mess of variables. The fractions also make things even more messy. Through trial and error, you can find various ways to help clean up the formula.

Notice how the "r/12" seems to show up a lot. Let's replace that fraction with the variable A.

So we'll make A = r/12

Because of that, the expression [tex]\left(1+\frac{r}{12}\right)^{12*t}[/tex] turns into [tex]\left(1+A\right)^{12*t}[/tex]

After replacing all the "r/12" terms with "A", we have the formula

[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]

turn into

[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]

which is a bit simpler in my opinion.

------------------

We could also let

B = (1+A)^(12t)

which would then allow us to go from this

[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]

to this

[tex]M = \frac{P*A*B}{B-1}\\\\[/tex]

and that's even more simple

---------------------

We're given the following values

Based on those values, we can say

From here, we plug the values of P, A, and B into the simplified version of the formula below.

[tex]M = \frac{P*A*B}{B-1}\\\\M \approx \frac{75000*0.00191667*1.25832348}{1.25832348-1}\\\\M \approx \frac{180.88431483087}{0.25832348}\\\\M \approx 700.22405563\\\\M \approx 700.22\\\\[/tex]

The monthly payment is roughly $700.22

Answer:

1. 5/10

2. 0.54

3. √3 and -1/16????

I think

sorry if I wrong

Answer: See explanation

Step-by-step explanation:

Correlation is a term which simply measures the strength of the linear relationship that exist between two variables that are quantitative.

In the scenario in the question, since the correlation coefficient between the variables is +0.64, it means that there is a positive correlation between the two variables which means there's a positive relationship between the repeated visits to the coffee shop and the customer's age but they're weakly positively correlated .

Answer:

X=29

Step-by-step explanation:

Sin62=x/33

X=29.137≈29

Answer:

A prism will always have two congruent parallel bases.

Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!

Answer:

Step-by-step explanation:

-7m-8=m-4

Answer:

The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.

Step-by-step explanation:

A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower.

At the null hypothesis, we test that the mean lifetime of the battery is of 1100 hours, that is:

[tex]H_0: \mu = 1100[/tex]

At the alternate, we test that is is lower, that is:

[tex]H_a: \mu < 1100[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

1100 is tested at the null hypothesis:

This means that [tex]\mu = 1100[/tex]

A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours.

This means that [tex]n = 25, X = 1080, s = 80[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1080 - 1100}{\frac{80}{\sqrt{25}}}[/tex]

[tex]t = -1.25[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 1080, which is found using a left-tailed test for t = -1.25, with 25 - 1 = 24 degrees of freedom.

With the help of a calculator, this p-value is of 0.1117

The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.

Answer:

The 'Days since Jan 8' would be represented by the independent variable. 'The Amount of Moon Visible' would be represented by the dependent variable.

Step-by-step explanation:

I calculated it logically