Select TWO expressions that contain a coefficient of 4.

a. 6y+4−5×8

b.4+2w÷6+2

c.4r+9

d.2+4z

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

Answer:

x = 1

Step-by-step explanation:

Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer:

x = 4

Step-by-step explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 40 ( divide both sides by 10 )

x = 4

Answer:

30

Step-by-step explanation:

Answer:

The decibel level of this second sound is 48.021 decibels.

Step-by-step explanation:

The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)

Where:

[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.

[tex]I[/tex] - Real sound intensity, measured in watts per square meter.

If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:

[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]

[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]

[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]

[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

The real sound intensity of the second sound is four times greater, that is:

[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]

If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]

[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]

[tex]B_{dB} = 48.021\,dB[/tex]

The decibel level of this second sound is 48.021 decibels.

Answer:

[tex]\mathrm{Best\:course\:grade\:possible:\:}87.25\%,\\\mathrm{Minimum\:score\:on\:final\:to\:earn\:at\:least\:a\:75\%\:for\:the\:course:\:}51\%[/tex]

Step-by-step explanation:

Assuming the maximum score for the final is [tex]100\%[/tex], we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of [tex]100\%[/tex], their overall grade for the course would be:

[tex]83(1-0.25)+100(0.25)=\fbox{$87.25\%$}[/tex].

To find the minimum score they need to earn a 75% for the course, we set up the following equation:

[tex]83(1-0.25)+x(0.25)=75[/tex], where [tex]x[/tex] is the minimum score she needs.

Solving, we get:

[tex]62.25+x(0.25)=75,\\x(0.25)=12.75,\\x=\fbox{$51\%$}[/tex].

Answer:

i think its 32 pints

Step-by-step explanation:

im pretty sure but sorry if im wrong ❤️

The remaining honey in the beehive is 4 gallons and 2 quarts, or 4 quarts and 2 ounces.

we need to convert the given measurements to quarts and ounces and then subtract them from the original 5 gallons.

1 gallon is equal to 4 quarts, and 1 quart is equal to 32 ounces.

4 gallons can be converted to quarts by multiplying by 4:

4 gallons × 4 quarts/gallon = 16 quarts

1 pint is equal to 2 cups, and 1 cup is equal to 8 fluid ounces.

1 pint and 2 ounces can be converted to ounces:

1 pint × 2 cups/pint × 8 ounces/cup = 16 ounces

2 ounces (already in ounces) = 2 ounces

Now, let's add up the converted measurements:

16 quarts + 16 ounces + 2 ounces = 16 quarts and 18 ounces

To find the remaining honey, we subtract the converted measurements from the original 5 gallons:

5 gallons - 16 quarts - 18 ounces = 4 gallons and 2 quarts

To learn more on Conversion factor click:

https://brainly.com/question/30567263

#SPJ6

Answer:

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Step-by-step explanation:

Answer:

A translation is converting another language into English

Step-by-step explanation:

Answer:

x>-1

Step-by-step explanation:

Answer:

21:84

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have a box with 84 chocolates

63 are dark, milk=84-63=21

21/63=1/3 is the ratio

for each 1 milk chocolate we have 3 dark chocolates

Answer:

b

Step-by-step explanation:

Answer:

h(x) = [tex](x+5)^{2}[/tex] -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

[tex]\frac{30}{12}=\frac{15}{a}[/tex]

Now cross multiply to find value of a

[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]

Now cross multiply to find value of b

[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]

So, we get c=8

Answer:

24% yes yes yes

Answer:

24% or [tex]\frac{6}{25}[/tex]=24%

Step-by-step explanation:

We know that

[tex]\frac{6}{25}[/tex]

Is the same as

6÷25

Then, using long division gives us

0.24

Lastly, multiplying 0.24 by 100 gives us

24

Now add the percent sign

24%

Answer:

x = 43000/9 or 4777.7 (i'm not 100% sure on this, so i apologize if i'm incorrect)

Step-by-step explanation:

The equation you were given was:

amount of solution • rate of concentration = amount of pure acid

By looking at the question, you can conclude that the amount of solution being used is 18%. You need to turn that into a decimal, therefore it'd be 0.18.

You can also conclude that the amount of pure acid being used is 860 milliliters. So, from this, you're able to fill in 2 parts of the equation:

0.18 • x = 860 mL

Now, all there's left to do is solve for x! To do this ,you'll need to rearrange the multiplication problem into a division problem.

860 / 0.18 = x

x = 43000/9 or 4777.7

Answer:

C.

Step-by-step explanation:

The equation that can be used to determine r is r = 3/.5 (1/2)

Hope this helps :)

Answer:

X/12

Step-by-step explanation:

X - whole drywall

X/4 -quarters

X/4/3=X/12 fraction of a whole sheet is each of these small pieces

Answer:

[tex]a=\sqrt{33}[/tex]

Step-by-step explanation:

When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.

[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]

So a would equal whatever the square root of 33 is.

Answer:

1.0E+15

Step-by-step explanation:

im sure this is right

Answer:

Step-by-step explanation:

To find the answer divide a 1 kilometer by x amount of picometers.

K= x of p

K = 1000000000000000

or in short text

=1e+15

Answer:

wouldnt it be d

Step-by-step explanation:

Answer:

The formula for the gray squirrel population is [tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex].

Step-by-step explanation:

The statement indicates that gray squirrel population increases geometrically, population is doubled every 6 years. That is:

[tex]\frac{n_{t+6}}{n_{t}} = 2[/tex] (1)

If the population after 30 years is 100000, then we construct the following relationship:

[tex]\frac{n_{6}}{n_{o}} \cdot \frac{n_{12}}{n_{6}}\cdot \frac{n_{18}}{n_{12}}\cdot \frac{n_{24}}{n_{18}}\cdot \frac{n_{30}}{n_{24}} = 2^{5}[/tex]

[tex]n_{30} = 2^{5}\cdot n_{o}[/tex]

[tex]n_{o} = \frac{n_{30}}{2^{5}}[/tex] (2)

[tex]n_{o} = \frac{100000}{2^{5}}[/tex]

[tex]n_{o} = 3125[/tex]

A geometric progression for the grey squirrel population is defined by the following formula:

[tex]n = 3125\cdot 2^{\frac{t}{6} }[/tex] (3)

Where:

[tex]t[/tex] - Time, measured in years.

[tex]n[/tex] - Population of gray squirrels.

Answer:

Step-by-step explanation:

Given function:

a) Maximum height is the vertex of the graph. Time needed:

If we double this time then diver will pass the peak point and it doesn't double the height

b) Maximum height is at vertex:

c) Distance from water after 2 seconds:

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{818}\\c=28.6[/tex]

Hence,

The ladder is 28.6 feet long.

Answer:

gave no examples.. this is what I got

Step-by-step explanation:

Answer:

there are different intrest rates, depending on where it is. but im choosing 8400

Step-by-step explanation:

Answer:1 black 4 white

Step-by-step explanation:

It must be 2:3 so you have to change the current ratio from black to white(7:8) to 2:3

So the first number has to be the closets multiple of 2(8) and you have to divide 8 by 2 to get 4 and multiply that by 3 to get the ratio 8:12 which is equivalent to 2:3

Answer:

60

Step-by-step explanation:

The answer of this question is 60 degree

Answer:

1200

Step-by-step explanation:

18/30 is the ratio of the girls compared to the class

you can simplify it to 3/5.

the equation to solve how many girls are in the school is 3/5= x/2000

cross multiply to get 5x=6000

x=1200