Please can somebody help me please!

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct

Answer:

a) Paired t test with H : Mafter before > 0

Step-by-step explanation:

As we do not know anything about variances we will perform a paired t test.

We want to check the effectiveness of the  new program designed to increase the flexibility of senior citizens.

So we will perform a test where the mean after the program is greater than the mean before the program.

The best option is a.

Option  a defines both objectives paired t test and difference of mean after and mean before is greater than zero.

Other options are not correct as they miss out one of the both objectives.

Answer:

-2.6, -2.16, 0.58, 0.8, 5.1

Step-by-step explanation:

Answer:

D) -2.6, -2.15,0.58,0.8, 5.1

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

I just graphed on my TI-84

Hope this helps!

Given:

The table of point scored in 5 games.

After game 6, the mean number of points scored per game is 9.

To find:

The points scored by Maya in game 6.

Solution:

Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:

[tex]Sum=8+12+10+6+14+x[/tex]

[tex]Sum=50+x[/tex]

We know that, the formula for mean is:

[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

So, the mean number of points scored per game is:

[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]

It is given that the mean number of points scored per game is 9.

[tex]\dfrac{50+x}{6}=9[/tex]

[tex]50+x=9\times 6[/tex]

[tex]x=54-50[/tex]

[tex]x=4[/tex]

Therefore, the correct option is A.

Answer:

A. 2468 sq. ft.

Step-by-step explanation:

I calculated it logically

Answer:

m ≥ 4

Step-by-step explanation:

8m ≥32

m ≥ 4 where m is the number of days needed to make the cakes so it needs 4 or more days to make 32 cakes

Answer:

97,655

Step-by-step explanation:

5(5)^(n-1) = 78,125

5^n = 78,125

n = 7

=> S7 = 5(5^7 -1) / (5-1)

= 5/4 (78, 125 -1)

= 5/4 (78 124) = 97,655

Answer:

D the horizontal cross-section of the pyramid and cone at the same height must have the same area

Answer:

x-intercepts = (-5,0) & (-2,0)

Step-by-step explanation:

5 & 2 = x-intercepts but you have to put them as negative

Answer:

-0.625 = X

Step-by-step explanation:

Distributive Property

Answer:

x = 1/8

Step-by-step explanation:

3x + 8 + 5x = 3 to the second power

8x + 8 = 9

x = 1/8

Answer:

The zeroes are at (-2, 0), (0, 0) and (2, 0).

The (0, 0) is a double root as the graph just touches the x axis at (0, 0).

The zero at (0, 0) is sometimes referred as  x = 0 (multiplicity 2).

I think the duplicate roots are counted as 2 distinct roots but im not sure.

So the answer is either a or c.

Step-by-step explanation:

The zeroes are the points where the graph cuts the x axis.

Answer:

a

Step-by-step explanation:

Answer:

x = 8.7

Step-by-step explanation:

Reference angle = 30°

Opposite side length = x

Adjacent side length = 15

Apply trigonometric function, TOA:

Tan 30° = Opp/Adj

Plug in the values

Tan 30° = x/15

Multiply both sides by 15

15*Tan 30° = x

8.66025404 = x

x = 8.7 (nearest tenth)

Answer:

the possible outcome sequences when a die is rolled 4 times is 1296

Step-by-step explanation:

 Given the data in the question;

a die is rolled 4 times

and outcomes are { 3, 4, 3, 1 }

we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }

Now when we roll a die lets say, r times

then the total number of possible outcomes will be;

N = [tex]n^r[/tex]

given that; r = 4

Hence if we roll a die 4 times;

Total number of possible outcome N = 6⁴

N = 1296

Therefore, the possible outcome sequences when a die is rolled 4 times is 1296

Answer:

A. 5.56

Step-by-step explanation:

I calculated logically

Answer:

1/2

Step-by-step explanation:

in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.

Answer:

[tex]4\frac{3}{4}[/tex]

4.75

Step-by-step explanation:

0.25 + 0.25 + 0.5 + 0.25 + 0.5 + 0.125 + 0.125 + 0.5 + 1 + 1 + 0.25

0.125 + 0.125 = 0.25

0.25 + 0.25 + 0.25 + 0.25 = 1

0.5 + 0.5 + 0.5 = 1.5

1 + 1 = 2

0.25 + 1 + 1.5 + 2

4.75

Answer:

The answer is 4 3/4

           Hope this helps! good luck :)

Answer:

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean and standard deviation of 486.9 and 24.01, respectively.

This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]

What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?

This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.

X = 525

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{525 - 486.9}{24.01}[/tex]

[tex]Z = 1.59[/tex]

[tex]Z = 1.59[/tex] has a p-value of 0.9441

X = 477

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{477 - 486.9}{24.01}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a p-value of 0.3409

0.9441 - 0.3409 = 0.6032

0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{560}{1120}[/tex]

[tex]r=0.5[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where a is the first term and r is the common ratio.

Putting [tex]a=1120, r=0.5[/tex], we get

[tex]a_n=1120(0.5)^{n-1}[/tex]

Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].

We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.

[tex]a_{10}=1120(0.5)^{10-1}[/tex]

[tex]a_{10}=1120(0.5)^{9}[/tex]

[tex]a_{10}=1120(0.001953125)[/tex]

[tex]a_{10}=2.1875[/tex]

Therefore, the 10th term of the given sequence is 2.1875.

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

Answer:

13.5 pounds

Step-by-step explanation:

90% of 15 is 13.5 or if you need to round then 14 pounds of lettuce

Answer:

This ball holds 904.78 cubic inches of air.

Step-by-step explanation:

Volume of the ball:

A ball has a spherical format. The volume of a sphere is given by:

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

In which r is the radius, which is half the diameter.

Val measures the diameter of a ball as 12 inches.

This means that [tex]d = \frac{12}{2} = 6[/tex]

How many cubic inches of air does this ball hold?

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

[tex]V = \frac{4\pi*6^3}{3}[/tex]

[tex]V = 904.78[/tex]

This ball holds 904.78 cubic inches of air.

Answer: The equation is 25x + 100

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Linear equations of lines are given in the form:

y = mx + b;

where m is the slope of the line, b is the y intercept and x, y are variables.

From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)[/tex]

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:

(5/3)x - 5 = 0

(5/3)x = 5

x = 3

Put x = 3 in equation 1:

y = -3 + 6 = 3

Therefore the two lines meet at (3, 3).

Answer:

7/1

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Answer:

Step-by-step explanation:

Right side =

sin A / cos A + sinB/ cosB         (sinAcosB + sinB cos A ) *   cosA cosB

-------------------------------------    =          cosA cosB                (sinAcosB - snBcosA )        sinA/cosA -  sinB/cos B

= Left side.

The trigonometry identity [tex]\frac{sin(A+B)}{sin(A-B)}[/tex] is equals to [tex]\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex].

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

According to the given question.

We have a trigonometric identity.

[tex]\frac{sin(A+B)}{sin(A-B)} =\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex]

To prove the above  trigonometric identity we will show L.H.S = R.H.S

[tex]L.H.S=\frac{sin(A+B)}{sin(A-B)}[/tex]

⇒ [tex]L.H.S = \frac{cosBsinA-sinBcosA}{sinAcosB-cosAsinB}[/tex]

⇒ [tex]L.H.S = \frac{\frac{sinAcosB}{cosAcosB} + \frac{sinBsinA}{cosBcosA} }{\frac{sinAcosB}{cosAcosB}-\frac{cosAsinB}{cosAcosB} }[/tex]     (dividing the numerator and denominator by [tex]cosAcosB[/tex] )

⇒ [tex]L.H.S = \frac{\frac{sinA}{cosA} +\frac{sinB}{cosB} }{\frac{sinA}{cosA}-\frac{sinB}{cosB} }[/tex]

⇒ [tex]L.H.S = \frac{tanA+tanB}{tanA- tanB}= R.H.S[/tex]

Hence, L.H.S = R.H.S

Find out more information about trigonometric identities here:

https://brainly.com/question/12537661

#SPJ3

Answer:

c = 13.52 units.

Step-by-step explanation:

So for this, lets use the Law of Sines, which says that:

Sin A / a = Sin B / b = Sin C / c

We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.

180 - 80 - 33 = 67 degrees

With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines

Sin A / a = Sin C / c

sin 33/8 = sin 67/c

c = 8*sin67 / sin 33

c = 13.52 units.