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es de algebra

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

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.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that [tex]\mu = 75, \sigma = 15[/tex]

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

[tex]Z = \frac{75 - 75}{15}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5

X = 48

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

[tex]Z = \frac{48 - 75}{15}[/tex]

[tex]Z = -1.8[/tex]

[tex]Z = -1.8[/tex] has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Answer:4

Step-by-step explanation:because 4

Answer:

for what

Step-by-step explanation:

Answer:

1/5 or 0.2

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Numbers that would be divisible by 5 are multiples of 5

they include = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

there are 20 numbers

Probability the two numbers would be divisible by 5 = 20/100

To transform to the simplest form. divide both the numerator and the denominator by 20

1/5

Answer:

The answer is A

Step-by-step explanation:

t(x) = (x-4)(x-4)+3

t(x) = (x²-4x-4x+16)+3

t(x) = x²-8x+19

Answer:

k=16/3

Step-by-step explanation:

[tex]\frac{2}{3} =\frac{k}{8}[/tex]

[tex]3k=16[/tex]

[tex]k=\frac{16}{3}[/tex]

Answer:

7 1/4 years old I think

Step-by-step explanation:

Answer:

K = 16

Step-by-step explanation:

Answer: A

Step-by-step explanation:

HxWxL equals 4/60. 4/60 simplified is 1/15.

Answer:

0.1319 or 13.2%

Step-by-step explanation:

You can solve this using the binomial probability formula.

The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.

Then, we can set the equation as follows:

P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)

n=4, x=2, k=2

when x=2  (4 2)(1/6)^2(5/6)^4-2 = 0.1157

when x=3  (4 3)(1/6)^3(5/6)^4-3 = 0.0154

when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008

Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

Answer:

26cm

Step-by-step explanation:

because you have to add 8cm+8cm +5cm+5cm=26cm

*See attachment below for the diagram

Answer:

DBECA

Step-by-step explanation:

Recall:

Volume of rectangular prism = Length*Width*Height or

V = Base area * Height

✔️Volume of A:

Length = ½ m

Width = ¼ m

Height = ¼ m

Volume of A = L*W*H = ½*¼*¼

= ¹/32 m³

= 0.03125 m³

✔️Volume of B:

Base area = 32 m²

Height = 7.25 m

Volume of B = base area * height

= 32*7.25

= 232 m³

✔️Volume of C:

Length = ½ m

Width = ¼ m

Height = ½ m

Volume of A = L*W*H = ½*¼*½

= ¹/16 m³

= 0.0625 m³

✔️Volume of D:

Length = 8½ m = 8.5 m

Width = 3½ m = 3.5 m

Height = 9¼ m = 9.25

Volume of A = L*W*H = 8.5 * 3.5 * 9.25

= 275.1875 m³ ≈ 275.2 m³

✔️Volume of E:

Base area = 26⅓ m² ≈ 26.33 m²

Height = 5 m

Volume of E = 26.33 * 5

≈ 131.7 m³

Arrange from greatest to the least volume:

D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)

The answer code = DBECA

Answer:

5/8 inch

Step-by-step explanation:

Subtract

1 - 3/8 = 5/8 inch

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 0.622

step-by-step explanation

Answer:

-0.622.

Step-by-step explanation:

Convert -5/8 to a decimal:

= -0.625.

So the largest number is -0.622.

Answer:

41.16 m³

Step-by-step explanation:

Step 1: Formula.

To find the volume of a triangular prism, multiply the base, length, and height by 1/2.

Step 2: Explain and solve.

[tex]formula: base*length*height*1/2[/tex]

[tex]base = 4.2[/tex]

[tex]length = 7[/tex]

[tex]height=2.8[/tex]

Now, we simply plug the numbers into the formula.

[tex]4.2*7*2.8*1/2 = 41.16m^3[/tex]

Step 3: Conclude.

I, therefore, believe the volume of this triangular prism is 41.16 m³.

Answer:

y = 6

Step-by-step explanation:

Let the y-intercept form of the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the passing through (0, 6) and (5, 6) will be,

m = [tex]\frac{6-6}{0-5}[/tex]

m = 0

Equation of the line with m = 0 will be,

y = 0 + b

y = b

Since, line passes through (0, 6),

By substituting the values in the equation,

b = 6

Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,

y = 6

Answer:

C

Step-by-step explanation:

Answer:

3,2,4,1,5

Step-by-step explanation:

Answer:

x^2+7x+3 R0

Step-by-step explanation:

3x+2 | 3x^3+23x^2+23x+6

        - 3x^3+2x^2                    (x^2)

_____________________

                    21x^2+23x+6

                  - 21x^2+14x           (7x)

______________________

                                 9x+6

                               - 9x+6      (3)

_________________________________

                                        0     | x^2+7x+3

Therefore, your quotient is x^2+7x+3

Answer:

2568

Step-by-step explanation:

214x12=2568

Answer:

c,d,e,f

Step-by-step explanation:

mark me brainliest

Select all values of x that make the inequality true: (x ≥ -1)

A. -4

B. -2

C. -1

D. 0

E. 1

F. 4

Answer:

C, D, E, F

Step-by-step explanation:

hope this helps! #HappyCheating

Answer:

Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups

Step-by-step explanation:

please give me brainliest

Research ethics are important for a number of reasons. They promote the aims of research, such as expanding knowledge. They support the values required for collaborative work, such as mutual respect and fairness. This is essential because scientific research depends on collaboration between researchers and groups.

9514 1404 393

Answer:

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

Answer:

$243.80

Step-by-step explanation:

You basically just multiply this by 1.02, then multiply the answer of that by 1.02, etc, until you did it 10 times in total. There is also the formula

P (1 + r/n)^(nt)

Where

A     =       final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

Answer:

Line A passes through (-3, 2) and (-23, 54)

slope of  line A will be

               [tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]

Equation of line A will be

             [tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]

Given line B is parallel to line A, So slope of A and B

                       [tex]m_{A} \cdot m_{B} = 1[/tex]

 slope of line B will be

                       [tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]

Also given line B passes (-8, 0), therefore the equation of line B

                  [tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]

Therefore,

             [tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]

Answer:

$15

Step-by-step explanation:

Budget = $30

Spent = $13

--------------------------

30 - 15 = $15

Ahmad will spend $15 additional dollars.