How many fish a are in the box

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

Answer:

d 150

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

[tex]Z = 3.33[/tex]

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 13, \sigma = 1.2[/tex]

You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

We have to find Z when X = 17. So

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

[tex]Z = \frac{17 - 13}{1.2}[/tex]

[tex]Z = 3.33[/tex]

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Answer:

a=90-67=23°

.................

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Answer:

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

The relative frequency of landing on an egg, caterpillar, chrysalis and adults are 0.2, 0.24, 0.3 and 0.26.

"Relative frequency represents the ratio of the number of times a value of the data occurs in a dataset".

For the given situation,

Number of times egg landed on spin, x1 = 10

Number of times caterpillar landed on spin, x2 = 10

Number of times chrysalis landed on spin, x3 = 15

Number of times adult landed on spin, x4 = 13  

Total number of times, n  = 50

The formula for relative frequency =  [tex]\frac{x}{n}[/tex]

The relative frequency of landing on an egg = [tex]\frac{10}{50}[/tex]

⇒ [tex]0.2[/tex]

The relative frequency of landing on caterpillar = [tex]\frac{12}{50}[/tex]

⇒[tex]0.24[/tex]

The relative frequency of landing on chrysalis  = [tex]\frac{15}{50}[/tex]

⇒ [tex]0.3[/tex]

The relative frequency of landing on adults = [tex]\frac{13}{50}[/tex]

⇒ [tex]0.26[/tex]

Hence we can conclude that the relative frequency of landing on an egg, caterpillar, chrysalis, and adults are 0.2, 0.24, 0.3 and 0.26.

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Answer:

Step-by-step explanation:

Ready to help you all any time

Answer:

about 27.42

Step-by-step explanation:

Answer: 16, 64, and 49

Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.

11 is not a perfect square since nothing can

be multiplied by itself to give us 11.

The same is true for 62 and 15.

16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.

That number is 4 since 4 × 4 = 16.

64 is also one since 8 can be multiplied by itself twice to give us 64.

49 is also one since 7² or 7 × 7 is 49.

Answer:D,E and F

Step-by-step explanation:

Perfect squares are numbers in which their square roots are whole numbers.

From the options

√16 =4

√64 =8

√49 =7

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

Answer:

b

Step-by-step explanation:

Answer:

x=417.6

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5x+78.2=287

Step 1: Subtract 78.2 from both sides.

0.5x+78.2−78.2=287−78.2

0.5x=208.8

Step 2: Divide both sides by 0.5.

0.5x   divided by 0.5

208.08 divided by 0.5

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

Answer:

D,E

Step-by-step explanation:

hope I helped

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex]    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]

(b) The velocity of the particle is the derivative, in time, of the vector position:

[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex]    (2)

and for t=4 (height = 20):

[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]

(c) The vector parametric equation of the tangent line is given by:

[tex]r_t(t)=r_o+vt[/tex]      (3)

ro: position of the particle for t=4

[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]

Then you replace ro and v in the equation (3):

[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]

Part(a): The value of [tex]t=4[/tex]

Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

Given vector equation is,

[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]

Vector equation:

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.

Part(a):

When the particle has a height of 20

[tex]5t=20\\t=4[/tex]

Part(b):

The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]

Differentiating the given equation with respect to [tex]t[/tex].

[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]

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1. Exponential

2. Linear

3. Exponential

Answer: 17.32

Step-by-step explanation:

Hey there! I'm happy to help out!

As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.

However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:

[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]

So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!

[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512

However, we want to find how much he has done in total! So, let's find how much he did on the other squares!

[tex]2^8[/tex]= 256

[tex]2^7[/tex]=128

[tex]2^6[/tex]=64

[tex]2^5[/tex]=32

[tex]2^4[/tex]=16

2³=8

2²=4

[tex]2^1[/tex]=2

[tex]2^0[/tex]=1

Now, we add these all up to find the total grains of rice!

512+256+64+32+16+8+4+2+1=895

Therefore, George has placed a total of 895 grains of rice on the chess board.

I hope that this helps! Have a wonderful day!

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

On the first square, George placed 1 grain of rice.

On the second square, he placed 2 grains.

On the third square, he placed 4 grains.

On the fourth square, he placed 8 grains.

In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.

So,

On the first 10 squares,

1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]

This is a geometric series with a first term of 1 and a common ratio of 2.

The sum of the first n terms of a geometric series.

[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]

where a is the first term, r is the common ratio, and n is the number of terms.

Substituting the values,

[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)

    = 1(1 - 1024) / (-1)

    = 1023

Therefore,

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

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Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

[tex]C(V(r))=3.2(\pi r^{3} )[/tex]

Therefore, the right answer is the last choice.

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

Answer:

If you both have 1M subs then its the same, not one person has more

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer:

-2 and 5

Step-by-step explanation:

trust