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vivado [14]
3 years ago
10

Can someone please help me with this :( .

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

Every Y point is technically going by 2

Step-by-step explanation:

So if you could read the question, they first gave us (-1,-8). -1 is our x and -8 is our y in this question. Since the question stated that Hopsalot will hop 1 unit to the right, that is out y. The only thing left for us to do is to do the last option, which is the 2 units above his point. So from -8 you go to -6, and from -6 to -4, -4 to -2 and so on until the table is completed.

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2(a-7)=a+4<br> 15 6<br>PLS HELPPPPPPPPPPP​
muminat

Answer:

a = 18

Step-by-step explanation:

2(a-7)=a+4

Distribute 2 into left side: 2a -14 = a + 4

subtract a from both sides  2a-a-14 = a+4-a

Simplify: a  - 14 = 4

Add 14 to both sides: a - 14 + 14 = 4 +14

Simplify:   a = 18

If wanted, plug a into original to double check work:

plug in: 2 (18-7) = 18+4

do parenthesis first: 2 (11) = 18+4

do multiplication : 22 = 18+4

additions: 22 =22

a = 18 is correct.

8 0
3 years ago
Read 2 more answers
A rectangular parcel of land is 90 ft wide. the length of a diagonal between opposite corners is 30 ft more than the length of t
snow_lady [41]

solution:

One leg of the triangle is given 90ft. the other leg of the triangle is x, and the hypotenuse is given as x+30

According to Pythagoras,

C² = a² + b²

So,

(x +30) = x² + 90²

Use FOIL to expand the binomial:

x² + 60x + 900 = x² + 8100

60x = 7200

X = 7200/60

X = 120


4 0
3 years ago
The value of 8 in 8596 is ----times the value of 8 in 985
nadya68 [22]
It's should be 5 cause I don't know
8 0
3 years ago
Describe the graph y=|x-2|+4
ICE Princess25 [194]

Answer: D) a V shaped graph with vertex at(2,4) which opens up

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are r
dedylja [7]

Answer:

a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

Step-by-step explanation:

To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

62% of owned dogs in the United States are spayed or neutered.

This means that p = 0.62

48 owned dogs are randomly selected

This means that n = 48

Mean and standard deviation, for the approximation:

\mu = E(x) = np = 48*0.62 = 29.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36

a. Exactly 30 of them are spayed or neutered.

This is P(X = 30), which is not necessary the use of the approximation.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180

0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.

b. At most 33 of them are spayed or neutered.

Now we use the approximation. This is, using continuity correction, P(X \leq 33 + 0.5) = P(X \leq 33.5), which is the pvalue of Z when X = 33.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{33.5 - 29.76}{3.36}

Z = 1.11

Z = 1.11 has a pvalue of 0.8665

0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.

c. At least 31 of them are spayed or neutered.

Using continuity correction, this is P(X \geq 31 - 0.5) = P(X \geq 30.5), which is 1 subtracted by the pvalue of Z when X = 30.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{30.5 - 29.76}{3.36}

Z = 0.22

Z = 0.22 has a pvalue of 0.5871

1 - 0.5871 = 0.4129

0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.

d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.

This is, using continuity correction, P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5), which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.

X = 30.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{30.5 - 29.76}{3.36}

Z = 0.22

Z = 0.22 has a pvalue of 0.5871

X = 23.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{23.5 - 29.76}{3.36}

Z = -1.86

Z = -1.86 has a pvalue of 0.0314

0.5871 - 0.0314 = 0.5557

0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.

8 0
3 years ago
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