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Answer:

P (34<X<39) = 0.5899

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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, we have that:

[tex]\mu = 37, \sigma = 3[/tex]

What is the probability that a cat would return to it's dish between 34 and 39 times a day.

This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So

X = 39

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

[tex]Z = \frac{39 - 37}{3}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a pvalue of 0.7486

X = 34

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

[tex]Z = \frac{34 - 37}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.7486 - 0.1587 = 0.5899

So

P (34<X<39) = 0.5899

Answer:

x + 5y ≤ 30

Step-by-step explanation:

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Angle A (6x +11)  = 53

12x - 7 = 77

Answer:

5 tons and 8 pounds

Step-by-step explanation:

1 ton is equal to 2000 pounds.

40 tons is equal to 80000 pounds (40*2000)

80000+64=80064

80064/8 = 10008

10008 is equal to 10000+8

10000/2000 = 5

5 tons and the leftover 8 is pounds

Hope I was able to help! Good Luck!

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

thanks

Step-by-step explanation:

your welcome

Answer:

Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.

Answer:

Step-by-step explanation:

these expressions are equivalent

4(2x+4)= 8x+16 after multiplying 4 with 2x+4

Answer:

yes

Step-by-step explanation:

Yes. If I substitute a number for x, the result is the same.

Answer:

x=144

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

According to me, you would just have to combine like terms and simplify them as much as possible.

12p + 15 - 13 - 12p

12p - 12p + 15 - 13

0 + 15 - 13

0 + 2

2

Hope this helps :D

Answer:

it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)

Answer:

261763

Step-by-step explanation:

599*437

=261763

Answer:

9x

9 is the coefficient

Step-by-step explanation:

5x + 4x

These are like terms (they both have the same variable (x))

5x + 4x = 9x

The coefficient is 9, since it's the number in front of a variable.

Hope this helped!

Answer:

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Step-by-step explanation:

From the question we are told that

Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]

Generally the equation can be rewritten mathematically as

  [tex]y+5= \frac{1}{2}x^2[/tex]

  [tex]x^2=(y+5)2[/tex]

  [tex](x-0)^2=(y-(-5))2[/tex]

Generally the equation of a parabola with vertical axis is mathematically given by

[tex](x - h)2 = 4p(y - k)[/tex]

Therefore  comparing equations

[tex](x-0)^2=(y-(-5))2[/tex]

[tex]4p=2[/tex]

[tex]p=2/4[/tex]

The distance from the bulb to the vertex of the cross section is given by

[tex]p=1/2\ or\ 0.5\ inches[/tex]

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

Answer:

multiply, 12 inches per foot

Step-by-step explanation:

Answer:

Let the amount of water at beginning be x

x-1.5-0.750-2.250=1

x=5.5 litre

Step-by-step explanation:

Therefore there was 5 litre 5 mililters of water in the pail.

Answer:5500 ml or 5.5 liters

Step-by-step explanation:

First, we should note that there are 1000 milliliters in 1 liter of liquid.

So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.

To find the total amount, we find the sum of all the milliliters:

1500 + 750 + 2250 + 1000 = 5500 ml

Again, we know that there are 1000 milliliters in 1 liter of liquid, so:

= 5.5 liters

Answer:

No it's not a function, because the domain 20 repeats.

Answer:

do u need to show your work or u just need the answerz

Step-by-step explanation:

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.

Answer:

x=log2(131)

Step-by-step explanation:

3(2^x-3)=384

x=7.03342

i don't know this question but i have made it by photomath app.

you can get it from playstore

Answer:

y=C-5x^2

Step-by-step explanation:

701,208 is in word form is Seven hundred one thousand, two hundred eight

A number system is defined as a system of writing to express numbers.

Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour

We need to write the number in sentence form

In the given number 8 is at units place

0 at tens place

2 is at hundred place

1 is at thousand place

0 is at ten thousand place

7 is at hundred thousand place

701, 208 is Seven hundred one thousand, two hundred eight

Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight

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Answer:

The Rectangular Table Has The largest area of 1460 in^2

Answer:

gfdsgfds

Step-by-step explanation:

fdgdsf

Answer:

x < - 4/5

Step-by-step explanation:

Given the inequality:

4x +4< 9x +8

Collect like terms :

4x - 9x < 8 - 4

-5x < 4

Divide both sides by - 5

-5x / - 5 < 4 / - 5

x < - 4/5

Answer:

Y = 0  , X = - 3/2

Step-by-step explanation:

Answer:

just give the brainliest to him

Step-by-step explanation: