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3 years ago

13

Paxton has completed 2/3 of the math questions on his homework. If Paxton has completed 8 math problems so far, write and solve

an equation to find, n, the total number of problems on his homework. (Please show work!)

2 answers:

lbvjy [14]3 years ago

5 0

The answer of this question is 11

kodGreya [7K]3 years ago

4 0

Answer:

11

Step-by-step explanation:

hope this helps

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Find the perimeter and area of each figure.

Sergio039 [100]

Answer:

1. A = 2x; P = 4x+2. A = 4; P = 10.

2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

A = x + x

A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

P = 1 + (x-1) + x + 1 + (x+1) + x

P = 4x +2

__

When x=2, these values become ...

A = 2·2 = 4 . . . . square units

P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

A = y² + 1 + 1

A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

P = y +(y-2) +1 +2 +(y+1) +y

P = 4y +2

__

When y=5, these values become ...

A = 5² +2 = 27 . . . . square units

P = 4·5 +2 = 22 . . . . units

4 0

4 years ago

An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed fro

skad [1K]

Answer:

The probability is 70% that the sample mean amount of juice will be contained between 4.9168 ounces and 5.0832 ounces.

Step-by-step explanation:

To solve this question, the Normal probability distribution and the Central Limit Theorem are important.

Normal probability distribution

Problems of normally distributed samples 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 5, \sigma = 0.4, n = 25, s = \frac{0.4}{\sqrt{25}} = 0.08$

The probability is 70% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?

The lower end of this interval is the value of X when Z has a pvalue of 0.5 - 0.7/2 = 0.15

The upper end of this interval is the value of X when Z has a pvalue of 0.5 + 0.7/2 = 0.85

Lower end

X when Z has a pvalue of 0.15. So X when $Z = -1.04$ .

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

Due to the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$-1.04 = \frac{X - 5}{0.08}$

$X - 5 = -1.04*0.08$

$X = 4.9168$

Upper end

X when Z has a pvalue of 0.15. So X when $Z = 1.04$ .

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

Due to the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$1.04 = \frac{X - 5}{0.08}$

$X - 5 = 1.04*0.08$

$X = 5.0832$

The probability is 70% that the sample mean amount of juice will be contained between 4.9168 ounces and 5.0832 ounces.

6 0

3 years ago

Write an algebraic expression for 3 times the difference of -4 times q minus 10

Alex777 [14]

Answer:

3*(-4*q-10)

Step-by-step explanation:

4 0

3 years ago

Which two numbers multiplies to get -35 and adds to get - 3

Ghella [55]

A+b=-3, a=-3-b

ab=-35, and using a from above we get:

(-3-b)b=-35

-3b-b^2=-35

b^2+3b-35=0

b≈-7.6033 and 4.6033

So the two numbers are approximately -7.6033 and 4.6033

3 0

3 years ago

Simplify the expression by combining like terms. 22+5m−4m+7n−8

rewona [7]

Answer: The simplified form by combining like terms is given by

$14+m+7n$

Step-by-step explanation:

Since we have given that

$22+5m-4m+7n-8$

Now, we combine the like terms :

1) First we collect m terms :

$22+5m-4m+7n-8\\\\=22+m+7n-8\\\\$

2) Combine n terms and constant terms :

$=22-8+m+7n\\\\=14+m+7n$

Hence, the simplified form by combining like terms is given by

$14+m+7n$

6 0

3 years ago

Read 2 more answers