Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.


Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

The probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

To find the probability of getting exactly 1 head when a fair coin is tossed 9 times, we can use the concept of binomial probability. The probability of getting a head on a single coin toss is 1/2, and the probability of getting a tail is also 1/2.

In this case, we want to calculate the probability of getting exactly 1 head out of 9 tosses. This can be represented as a binomial probability with parameters n (number of trials) and p (probability of success).

Using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successful outcomes, and p is the probability of success.

In our case, n = 9, k = 1, and p = 1/2.

Plugging these values into the formula:

P(X = 1) = (9 choose 1) * (1/2)^1 * (1 - 1/2)^(9 - 1)

P(X = 1) = 9 * (1/2) * (1/2)^8

P(X = 1) = 9 * (1/2)^9

P(X = 1) = 9/2^9

P(X = 1) ≈ 0.017

Therefore, the probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.

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Answer:

c) $725

Explanation:

Last year price: $12.50

If increased by 16%, 100% + 16% = 116%

116% * $12.50

$14.5, each student

Total cost for all 50 students

$14.5 * 50

$725

Answer:

Step-by-step explanation:

|x - 15| = 0 ⇔ x - 15 = 0 ⇔ x = 15

Answer:

The measure of the angle is exactly x.

Answer:

C = 8π

Area = 32π

Step-by-step explanation:

Radius = 4 cm

Circle Circumference Formula: 2πr

C = 2π*4 = 8π cm

Area Circle Formula: 2πr^2
Area = 2π*4^2 = 2π*4*4 = 2π*16 = 32π cm

$140 was the original price.

discount : 45%

45% ⇒ $63

1% ⇒ $(63/45)

1% ⇒ $1.4

original price is always 100%

100% ⇒ $(1.4*100)

100% ⇒ $140

Let the original price of the necklace be ,'x',

then,

According to the question,

Hence ,the necklace she bought worths $140 without the discount given to her.

[ Thanks to starrysoul100 ]

Answer:

4.5 ft^3

Step-by-step explanation:

note to convert 18 in. to feet = 1.5 feet

divide the length value by 12

Answer:

c=?=13

Step-by-step explanation:

Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?

[tex]5^2+12^2=c^2[/tex]

[tex]25+144=c^2[/tex]

[tex]169=c^2[/tex]

[tex]c=\sqrt{169}[/tex]

c=13

Answer:

Yes

Step-by-step explanation:

When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.

The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.

The residual value is the difference in the value of y coordinate between the real value and the expected value.

Residual Value =  Real value of y - The predicted value of y

The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,

[tex]y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14[/tex]

Now, the residual value can be written as,

[tex]\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86[/tex]

Hence, the residual value will be equal to -0.86.

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Answer:

-0.86

Step-by-step explanation:

cuz im a slay queen boss

Answer: The factors of 252 can either be prime or composite. Subsequently, 252 is an even composite number itself which comprises of factors that are either prime or composite.

Step-by-step explanation:

Factor pair Pair factorization

2 and 126 2 × 126 = 252

3 and 84 3 × 84 = 252

4 and 63 4 × 63 = 252

6 and 42 6 × 42 = 252

Answer:

a)  (4, 5)

b)  (3, -1)

c)  (4, 4)

d)  (-3, 2)

e)  (3, 1)

f)  (7, 8)

Step-by-step explanation:

I hope this helped. If it did mark brainliest pls :)

Answer:

V=828.96cm²

Step-by-step explanation:

V=（4/3）∏r³*（1/2）+（1/3）∏r²h

r=6cm

h²=(2√34)²-6²=4*34-36=100

h=10cm

V=2/3*6³∏+1/3*36*10∏=144∏+120∏=264∏=264*3.14=828.96cm²

Answer:

A -6

Step-by-step explanation:

The reason why this is your answer is because -6's absolute value is 6

As we know, 6 is higher than 5

so hence, your answer is A -6

EXTRAS:

Absolute values of other answer choices...

-5 = 5

0 = 0

5 = 5

Answer:

The number that has an absolute value greater than 5 is -6 so that answer will be A

Answer:

12.72

2.65/5 = 0.53

0.53x24= 12.72

Step-by-step explanation:

The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

[tex]\rm y = 2x^2+bx+8[/tex]

The above function shows the equation of the parabola.

From the graph, we can see the point(2, -8) lie on the graph of the function,

So point(2, -8) will satisfy the function.

Plug y = -8 and x = 2 in the function.

[tex]\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12[/tex]

Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.

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Answer: The linear model does not describe the data well because most of the points are located above the line.

Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.

Answer:

Make n  the subject of the formula y =m² -4n² .

Step-by-step explanation:

it's the same i hope it can help.

Answer:

b

Step-by-step explanation:

on plato

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.

So the equation is

f(x) = 1/32(x + 9)^2 + 19

The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.

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Answer:

x=8, x=4

Step-by-step explanation:

Add 4 to both sides

[tex](x-6)^2=4[/tex]

Square root

[tex](x-6)= \sqrt{4}[/tex]

x - 6 = ±2

x = 8

OR x = 4

So, x=8 or x=4

Answer:

the answer is 3/100

Step-by-step explanation:

the probability=

pr(blue)*pr(black)

=3/10*1/10

=3/100

hope this helps

please give brainest

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

Given the following function:

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

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Answer:

B

Step-by-step explanation:

The verified dude saisd so

Answer:

x=10

Step-by-step explanation:

13x=130

because they are parallel we know that line m and n are equal angles

since 13x° and 130° aee both obtuse angles they are equal

so set them equal 13x=130

and solve for x

divide both sides by 13

(13x)/13 = 130/13

leaving us with x=10

Answer:

-6 4

Step-by-step explanation:

hope it helps you have a great day

Answer:

Solve in parenthesis first(exponents:

(3 x 10^6) + (3 x 10^6)

Will be:

(3 x 1,000,000) + (3 x 1,000,000)

Multiply in the parenthesis:

(3,000,000) + (3,000,000)

Add them:

= 6,000,000

Standard form:

6 x 6^10

Use the order of

Answer:

D. 36

Step-by-step explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

Answer:

Step-by-step explanation:

...

11C2=55