A baker has at most 120 minutes to decorate 40 cupcakes how long can she spend decorating each cupcake to stay within her time limit

Answer:

[tex]P(Z<-2.5) =0.0062097[/tex]

Step-by-step explanation:

From the question we are told that:

Test statistic t =-2.5

Generally the equation for Test for statistics is mathematically given by

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

 [tex]t=-2.5[/tex]

Therefore

P-value from Z table is

For left tailed test

 [tex]P(Z<-2.5) =0.0062097[/tex]

therefore the P-value for the test is

 [tex]P(Z<-2.5) =0.0062097[/tex]

Answer:

12.0 meters

Step-by-step explanation:

Given data

The first is 8.75 meters long

Let us find 37.5% of  8.75

=37.5/100*8.75

=0.375*8.75

=3.28125

Hence the Second seawall is

=3.28125+8.75

=12.0 meters

Answer:

354.875

Step-by-step explanation:

Answer:

354 people were seated in each section and 7 people were unable to be seated.

Step-by-step explanation:

Answer: [tex]x=-10+\sqrt{7}\cos \theta\-,\quad y=0.5+\sqrt{7}\sin \theta[/tex]

Step-by-step explanation:

For a circle with center [tex](h,k)[/tex]  and radius [tex]r[/tex]

The parametric equation is [tex]x=h+r\cos a[/tex], [tex]y=k+r\sin a[/tex]

For center [tex](-10,\frac{1}{2})[/tex] and radius [tex]\sqrt{7}[/tex]

Parametric equation is

[tex]\Rightarrow x=-10+\sqrt{7}\cos \theta\\\Rightarrow y=0.5+\sqrt{7}\sin \theta[/tex]

Answer:

1

Step-by-step explanation:

rhombus is the answer.....

Answer: is parallelogram

Step-by-step explanation:

Answer:

f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9

Step-by-step explanation:

Answer:

Probability = 1 / 5

Step-by-step explanation:

Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.

So, probability of 3 stars = Outcomes with 3 stars / Total outcomes

= 1 / 5

Answer: all of them!!

Step-by-step explanation: hope this helps :)

En este estudio, la depresión, la ansiedad y el estrés generales fueron significativamente altos. Hay varios factores asociados con la depresión, la ansiedad y el estrés. Diseñar e implementar str a medida

Espero que esto te ayude ❤️

Answer:

2 AND -10

Step-by-step explanation:

Answer:

domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept:  1/5

Step-by-step explanation:

The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:

To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:

(x + 10)(x -2) not equal 0

So x ≠ 2 and x ≠ -10.

To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:

0 = (x - 4) / x^2 + 8x - 20

The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:

x - 4 = 0,

And x = 4

To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:

y = -4 / -20 = 1/5

These answers align with the second option.

Answer:

B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260

Step-by-step explanation:

We are given that the savings = $s and current amount  $c.

Now, Ahmed has doubled his savings. This means that the new savings = $2s

Also, he had deposited $100.

So, the current amount of Ahmed is given by c = 2s + 100.

Moreover, if the savings is $80 i.e. s = 80, the current amount is,

c = 2 × 80 + 100

i.e. c = 160 + 100

i.e. c = 260

So, the current amount if savings is $80 is $260.

Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.

Answer:

42.5 Cubic Yards

Step-by-step explanation:

To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.

The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.

As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.

Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.

[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]

Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,

[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]

                             [tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]

Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.

Learn more about Volume of Cuboid:

https://brainly.com/question/46030

Answer:

81/42

Step-by-step explanation:

8 1/10 ÷ 4 1/5

81/10 ÷ 21/5

81/10 * 5/21

(81*5)/(10*21)

405/210

81/42

Answer:

To divide by (x+1) in synthetic division, you divide by -1.

-1    1   -7   4   12

         -1    8   -12

—————————-

     1   -8   12   0

This gives us x^2 -8x +12x  which factors to (x-2) (x-6).  We still have the factor of (x+1)  so the zeros will be 2, 6, and -1.

Step-by-step explanation:

Step-by-step explanation:

it say the answer is 4 but I don't know how

Answer:

The owner has

Step-by-step explanation:

36 x 36 = 1296,  he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.

The mean is 8 and the lower quartile is 6.

Answer:

42.42 yards

Step-by-step explanation:

Given :-

And we need to find the length of other leg. So since it is a right angled triangle we can use the Pythagoras Theorem which is ,

Pythagoras Theorem :-

Using Pythagoras Theorem :-

[tex]:\implies[/tex] p² + b² = h²

[tex]:\implies[/tex] 15² + p² = 45²

[tex]:\implies[/tex] 225 + p² = 2025

[tex]:\implies[/tex] p²= 1800

[tex]:\implies[/tex] p = 42.42

Hence the measure of other leg is 42.42 yards.

Answer:

Solution given:

Since it is a isosceles trapezoid so it diagonal will be congruent so

PR=QS

PT+RT=12cm

4.9+RT=12cm

RT=12-4.9

RT=7.1cm

PS=QR

QR=9cm

m<QPR=44° base angle of isosceles triangle

m<PTQ=180°-44-44=92°[interior angle remaining of traingle]

m<STR=m<PTQ

m<STR=92°

Answer:

B

Step-by-step explanation:

I cant explain it but its B

Answer:

B

Step-by-step explanation:

The function starts at -3 and finishes at 5

Answer:

x = -4

m<LMP = 77°

m<NMP = 103°

Step-by-step explanation:

Straight angles by definition have a total measure of 180°.

This means that m<LMP and m<NMP are 180° together.

Therefore m<LMP + m<NMP = 180°.

[substitution property]

(-16x + 13)° + (-20x + 23)° = 180°

[associative property of addition]

(-36x + 36)° = 180°

-36x + 36 = 180

–36 –36

-36x = 144

÷-36 ÷-36

x = -4

_________________

Since m<LMP = (-16x + 13)°.

Using substitution with x = -4:

m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.

Since m<NMP = (-20x + 23)°.

Using substitution with x = -4:

m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.

This is true because 77° + 103° = 180°.

The area is 364 because the perimeter is 84 feet, the sides are 28 times two witch it 56 and 84-56 is 26 so the other sides are 13 and 13 times 28 is 364

Answer:

I believe your answer is the second option. My apologies if it is wrong.

Step-by-step explanation:

Answer:

To fine the surface area is to add all the area of the faces

Answer:

3.9

Step-by-step explanation:

tan = opposite side/adjacent side

tan 61 = 7.1/QR

QR tan 61 = 7.1

QR = 7.1/tan 61

     = 3.9

Note:  If you memorize the definitions of all the trig functions, then these kinds of problems will be much easier.  OK?

Answer:

14.67

Step-by-step explanation:

Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?

We have the Equation

150x = 2200

Divide both sides by 150

150x/150 = 2200/150

x = 14.666666667

Approximately x= 14.67

Answer:

divide each side by 150

Step-by-step explanation: