A football team received a gain of 12 yards on their first play of the game. Write an integer to
represent this situation?​

Answer:

x =16, y = 151.2

Step-by-step explanation:

Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,

[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]

Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,

[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]

Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

Answer:

(0,29)

Step-by-step explanation:

To find the y-intercept, substitute in

0 for x and solve for y OR use a graphing calculator.

Answer:

Krishna's marks x marks

so...

xˉ=15

xˉ=15n=10

xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3

15=10x-3/10

150+3=10x

x=150/10=15.3 marks

Krishna scored 15.3 marks.

hope it helps you sis...

Answer:

9

Step-by-step explanation:

Answer:

[tex]\dfrac{-5}{3}[/tex]

Step-by-step explanation:

We need to solve the given expression in the lowest form i.e.

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]

We know that,

[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]

So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].

Answer:

rotational symmetry of 60 degrees around the origin - yes

rotational symmetry of 120 degrees around the origin - yes

Step-by-step explanation:

A regular hexagon has 6 congruent angles

the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.

The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6

Here is a visual from basic-matematics

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides

Answer:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

Answer: i think c

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt{26} is \: between 5.0and5.1[/tex]

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Answer:

Congruent

Step-by-step explanation:

Answer:

the answer is 69/100

Answer:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]

Answer:

sorry 2458946547165874%

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The word biodiversity means the variety of life and in this case, bats

Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed

hope this helps <3

Answer:1  pound

Step-by-step explanation:

Directly you see  from Qestion Sarah picked 4  pounds and Nathan 3...for difference  4-3=1

Answer:

A: 1 pound

Step-by-step explanation:

4lbs -- 3lbs = 1lbs

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

Answer:

24

Step-by-step explanation:

x+120+36=180

x+156=180

x=180-156

x=24

Answer:

10=10

Step-by-step explanation:

_1(12)+14=2(12)+2

3.

Answer:

1/48 or .2083

Step-by-step explanation:

dividing by 6 is the same as multiplying by 1/6, so if you multiply 1/8*1/6 you get 1/48

Answer: Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/48

Decimal Form:

0.02083

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.16

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

[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Answer:

  33 1/3%

Step-by-step explanation:

The percentage change is ...

  difference/base × 100% = (120000 -90000)/90000 × 100%

  = 1/3 × 100% = 33 1/3%

Step-by-step explanation:

Area = 1/2 x b x h

= 1/2 x 9 x 10

= 45 cm ^2

As it has 6 faces, we multiply the area by 6

45 x 6 = 270 cm^2