A rectangular prism is cut diagonally, resulting in the creation of two triangular prisms. What is the two-dimensional shape resulting from this cut?

Answer:

The center is (2,6) and the radius is 8

Step-by-step explanation:

The answer is center: (2,6); radius: 8

Answer:

.82B

Step-by-step explanation:

I'm hoping you're asking to reduce the price by 18% once, because I'm not sure if that's your question, but it would be .82B. Which is 82% of the original price.

The correct expressions which represent the amount Bo pays for the game is,

⇒ 0.82B

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Bo is buying a board game that usually costs B dollars.

And, The price has been reduced by 18%.

So, The reduced amount of the game is,

⇒ Reduced amount = 18% of B

                               = 18B/100

                               = 0.18B

Thus, The amount of the game Bo pays = B - 0.18B

                                                              = 0.82B

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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ ≤ 10

For the alternative hypothesis,

µ > 10

The inequality sign indicates that It is a right tailed.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 35,

Degrees of freedom, df = n - 1 = 35 - 1 = 34

t = (x - µ)/(s/√n)

Where

x = sample mean = 14.44

µ = population mean = 10

s = samples standard deviation = 4.45

t = (14.44 - 10)/(4.45/√35) = 5.9

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, At a 1% level of significance, we can conclude that the true mean is greater than 10.

Answer:

The new volume would be 14,850cm³.

Step-by-step explanation:

The volume of a rectangular prism is:

[tex]V = l*w*h[/tex]

In which l is the length, w is the width and h is the height.

Dimensions tripled.

So [tex]l = 3l, w = 3w, h = 3h[/tex]

The modified volume will be:

[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]

Volume of 550 cm³ before the dimensions are tripled.

This means that [tex]V = 550[/tex]

New volume:

[tex]V_{m} = 27*550 = 14850[/tex]

The new volume would be 14,850cm³.

Answer:

P(even or odd prime) = 0.85

There is 85% probability of rolling an even number or odd prime number.

Step-by-step explanation:

We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.

We are asked to find the probability of rolling an even number or odd prime number.

We know that probability is given by

P = Number of desired outcomes/Total number of outcomes

Let us first count the number of desired outcomes.

In the range of 1 to 20 we have following even numbers,

2, 4, 6, 8, 10, 12, 14, 16, 18, 20    (10 outcomes)

P(even) = 10/20

P(even) = 0.50

In the range of 1 to 20 we have following odd prime numbers,

3, 5, 7, 11, 13, 17, 19    (7 outcomes)

P(odd prime) = 7/20

P(odd prime) = 0.35

So the required probability is

P(even or odd prime) = 10/20 + 7/20

P(even or odd prime) = 0.50 + 0.35

P(even or odd prime) = 0.85

Therefore, there is 85% probability of rolling an even number or odd prime number.

Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.

OR corresponds to addition of probabilities

AND corresponds to multiplication of probabilities

Answer:

i think i am not sure

i am soo sorry if i gave it wrong but i think its A

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

9x^2 + 12x +4

This is a perfect square trinomal

(3x)^2 + 12x +2^2 = 3x*2   doubled = 6x*2 = 12x

The middle term is twice the ends

a^2 +2ab+b^2 = (a+b)^2

(3x)^2 + 12x +2^2  = (3x+2) ^2

Probably liters, all the others are too big or too small.                                                                                                        

Answer:54

Step-by-step explanation:

Pentagon has 5 sides

n=5

Sum of interior angles=180(n-2)

Sum of interior angles=180(5-2)

Sum of interior angles=180x3

Sum of interior angles=540

Size of each interior angle =540/n

Size of each interior angle =540/5

Size of each interior angle=108

x=108/2

x=54

Answer:

121 km

Step-by-step explanation:

i added all the number together

Answer:

  74.3 feet

Step-by-step explanation:

Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...

  (12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft

Answer: ask the question

Step-by-step explanation: what's the question can you b more specific I could answer it for you

Answer:

What do you want the answer to be?

Step-by-step explanation:

Do you want to translate your measures to another measure?

Answer:

See explanation

Step-by-step explanation:

[tex]6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}[/tex]

Answer

the answer is -56

Step-by-step explanation:

Answer:

3.74% probability that her baby has T18

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: The baby having T18.

T18 occurs in only 1 in 2500 pregnancies in the U.S.

This means that [tex]P(B) = \frac{1}{2500} = 0.0004[/tex]

The probability of a positive test result for a baby with T18 is 0.97.

This means that [tex]P(A|B) = 0.97[/tex]

The overall probability of a positive test result is 0.010384.

This means that [tex]P(A) = 0.010384[/tex]

What is the probability that her baby has T18

[tex]P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374[/tex]

3.74% probability that her baby has T18

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]

Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

Answer:

1) It is appropriate to use the normal curve, since np = 22.95 ≥ 10 and n(1 - p) = 62.05 ≥ 10

2) The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline = 0.5832

Step-by-step explanation:

Concluding part of the question

1) Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?

2) Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?

Solution

1) The condition for a distribution (binomial) to approximate a normal distribution is that

np ≥ 10 and n(1-p) ≥ 10

where n = sample size = 85

p = population proportion = sample proportion = 0.27

np = 85 × 0.27 = 22.95 ≥ 10

n(1-p) = 85 × 0.73 = 62.05 ≥ 10

2) To obtain the required probability, we need the standard deviation of the sampling distribution

σₓ = √[p(1-p)/n] = √(0.27×0.73/85) = 0.0481541642 = 0.04815

To obtain the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline, we need to standardize 28%

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.28 - 0.27)/0.04815 = 0.21

To obtain the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline

P(x < 0.28) = P(z < 0.21)

We'll use data from the normal probability table for these probabilities

P(x < 0.28) = P(z < 0.21) = 0.58317 = 0.5832 to 4 d.p

Hope this Helps!!!

The value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, cos(315°) and sin(315°).

So, the values are

Simplify the expression.

Exact Form:√2/2

Decimal Form:0.70710678…

sin(315°)

Simplify the expression.

Exact Form: -√2/2

Decimal Form: -0.70710678…

Therefore, the value of cos(315°) is 0.7071 and the value of sin(315°) is -0.7071.

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Answer:

80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases ([tex]\mu_1-\mu_2[/tex]) is [-9.132 , 23.332].

Step-by-step explanation:

We are given that a random sample of 7 sales receipts for mail-order sales results in a mean sale amount of $81.70 with a standard deviation of $18.75.

A random sample of 11 sales receipts for internet sales results in a mean sale amount of $74.60 with a standard deviation of $28.25.

Firstly, the Pivotal quantity for 80% confidence interval for the difference between population means is given by;

                            P.Q. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean sales receipts for mail-order sales = $81.70

[tex]\bar X_2[/tex] = sample mean sales receipts for internet sales = $74.60

[tex]s_1[/tex] = sample standard deviation for mail-order sales = $18.75

[tex]s_2[/tex] = sample standard deviation for internet sales = $28.25

[tex]n_1[/tex] = size of sales receipts for mail-order sales = 7

[tex]n_2[/tex] = size of sales receipts for internet sales = 11

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(7-1)\times 18.75^{2} +(11-1)\times 28.25^{2} }{7+11-2} }[/tex] = 25.11

Here for constructing 80% confidence interval we have used Two-sample t test statistics as we don't know about population standard deviations.

So, 80% confidence interval for the difference between population means, ([tex]\mu_1-\mu_2[/tex]) is ;

P(-1.337 < [tex]t_1_6[/tex] < 1.337) = 0.80  {As the critical value of t at 16 degree

                                         of freedom are -1.337 & 1.337 with P = 10%}  

P(-1.337 < [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < 1.337) = 0.80

P( [tex]-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < [tex]{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}[/tex] < [tex]1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ) = 0.80

P( [tex](\bar X_1-\bar X_2)-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < ([tex]\mu_1-\mu_2[/tex]) < [tex](\bar X_1-\bar X_2)+1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ) = 0.80

80% confidence interval for ([tex]\mu_1-\mu_2[/tex]) =

[ [tex](\bar X_1-\bar X_2)-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] , [tex](\bar X_1-\bar X_2)+1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ]

= [ [tex](81.70-74.60)-1.337 \times {25.11 \times \sqrt{\frac{1}{7} +\frac{1}{11} } }[/tex] , [tex](81.70-74.60)+1.337 \times {25.11 \times \sqrt{\frac{1}{7} +\frac{1}{11} } }[/tex] ]

= [-9.132 , 23.332]

Therefore, 80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases ([tex]\mu_1-\mu_2[/tex]) is [-9.132 , 23.332].

Answer:

Axis of Symmetry: x = -4

Vertex: ( -4, -6 )

Step-by-step explanation:

~ Part I ~

1. To find the axis of symmetry, rewrite y = x^2 + 8x + 10 in the parabola standard form ( 4p( y - k ) =  ( x - h) ^2 for an up-down facing parabola at  vertex ( h, k ) and a focal length |p|) ⇒ 4 * 1/4 ( y - ( - 6 ) ) = ( x - ( - 4 ) )^2

2. Therefore the parabola properties are ⇒ ( h, k ) =  ( - 4, -6 ), p = 1/4

3. Answer: x = -4

~ Part II ~

1. From the previous question, we got that the vertex should be ⇒ ( -4, -6 )

2. Answer: ( -4, -6 )

Answer:

  the correct choice is marked

Step-by-step explanation:

The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:

  (x +3)(x -3) = x^2 -9

The zero crossing at -1 tells you that x+1 is a factor.

So, the polynomial factors as ...

  f(x) = (x^2 -9)(x +1)

Multiplying this out, we get ...

  f(x) = x^2(x +1) -9(x +1)

  f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice

Answer:

5 seconds

Step-by-step explanation:

(60 / seconds = GPM)

60 / 5 = 12 GPM

12 GPM = 60 seconds

Simplified

1 Gallon is 5 seconds

Answer:

5

Step-by-step explanation:

The required equation that represents the total cost of renting a tuxedo for x number of days is y=50x+150. Option 1 is correct.

Given that,
A tuxedo rental service charges 150$ flat fee for a suit plus 50$ Per additional day. Which equation correctly models the total cost of renting a tuxedo for x number of days is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of days be x, and the total cost be y,
charges for additional day = 50x
Total charges (y) = 150 + 50x
y = 150 + 50x

Thus, the required equation that represents the total cost of renting a tuxedo for x number of days is y=50x+150. Option 1 is correct.

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Answer:

13 books.

Step-by-step explanation:

If 100-8 equals 92 divided by 7 equals 13 rounded. That is the # of books.

PLZ MARK BRAINLIEST!!!

Answer:

13 books

Step-by-step explanation:

7b+8 < 100

Subtract 8 from each side

7b+8-8 < 100-8

7b< 92

Divide each side by 7

7b/7 < 92/7

b< 13 1/7

Since we cannot buy part of a book, Brian can buy 13 books without overspending

Answer:

y = 67.19

Step-by-step explanation:

y/5.6 = 12

=> y = 12(5.6)

=> y = 67.19

Answer:

You would have to multiply 25 by any number greater than 5. X would equal to 150 or greater.

Answer:

$209.18

Step-by-step explanation:

352 miles*$0.25 per mile = $88 for mileage.

$19.95 per day * 4 days = $79.80

88+ 79.80 + 41.38 for gass = $209.18 Total Cost

Answer:

a) profit = (new account opened x 5000) -3500

b) Opening account is binomial distribution with n =25 and p = 0.01

c) Probability of loss is 0.77781 --I don't recommend the company that it running the seminar

d) n ≅ 71

Step-by-step explanation:

See attached image

Answer:

V=3053.6

Step-by-step explanation: