Write an expression for the following. "The sum of a number and 12 times 4

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

Answer:

6

Step-by-step explanation:

There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes

48/8=6

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

(x+2) (x-3) (x+4)

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that [tex]\mu = 57, \sigma = 10[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{59 - 57}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Answer:

D. 50.24

Step-by-step explanation:

The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D.  :) hope this helps  

Answer:

After 5 minutes, the submarine is at 240 ft below sea level.

Step-by-step explanation:

-300 + 16z

After 5 minutes, z = 5.

-300 + 16(5) = -300 + 80 = -240

After 5 minutes, the submarine is at 240 ft below sea level.

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope intercept form: y =mx + c

1) x + 4y = 8

        4y = -x + 8

Divide the equation by 4

  [tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]

Here, m = -1/4  and y-intercept = 2

2) 3x + 4y = 0

          4y = -3x

Divide the equation by 4

           y = [tex]\frac{-3}{4}x[/tex]

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Answer:

Whole no includes positive as well as negative integer but Natural numbers includes positive integer .

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Answer:

no. who eat lunch special = 12

no. who eat dessert = 6

Step-by-step explanation:

Let x = no. who eat lunch special

y = no. who eat dessert

(1)    8x + 2y = 108             (2)    6x + 3y = 90

 Divide thru by 2                         Divide thru by 3

      4x + y = 54                          2x + y = 30

     -2x - y = -30

       2x = 24

         x = 12                               2(12) + y = 30

                                                    24 + y = 30

                                                            y = 6

Answer:

15 x /2

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Answer:

2/3 serving

Step-by-step explanation:

(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

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hope it helps...

have a great day!!

Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.

Hopes that helps have a blessing day/night :)

Step-by-step explanation:

A.  1 cup of blue rate for 3/5 cup of red paint

B. 1 cup of flour for 2.5 muffins

C. r = d/t = 420 miles/7 hours = 60 miles per hour.

D. 48/3 = $16 for every hour

E. $15/6 = $2.5 for every hot dog