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3 years ago

11−.5y=3+6x The .5 is actually a fraction 1/2

Mathematics

1 answer:

maria [59]3 years ago

4 0

Answer:

-12x+16=y

Step-by-step explanation:

Subtract 3 from 11: 8-0.5y=6x

Move 0.5y to the right side: 8=6x+0.5y

Move 6x to the left side: -6x+8=0.5y

Divide both sides by 0.5: -12x+16=y

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Yeah I’m not good at this

levacccp [35]

For the given triangle, x = 5.1 cm and y = 6.1 cm.

Step-by-step explanation:

Step 1:

In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm. The hypotenuse of the triangle measures 8 cm.

To determine the length of the opposite side of the triangle, we use the sin of the given angle.

To determine the length of the adjacent side of the triangle, we use the cos of the given angle.

$sin \theta = \frac{oppositeside}{hypotenuse} , cos \theta = \frac{adjacentside}{hypotenuse}.$

Step 2:

In the given triangle,

The length of the opposite side = y cm,

The length of the adjacent side = x cm,

The length of the hypotenuse = 8 cm,

The angle of the triangle = 50°.

$sin \theta = \frac{oppositeside}{hypotenuse} , sin 50 = \frac{y}{8}.$

$y = 0.7660 (8) = 6.128.$

$cos \theta = \frac{adjacentside}{hypotenuse} , cos 50 = \frac{x}{8}.$

$x = 0.6427 (8) = 5.1416.$

So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.

8 0

4 years ago

F(6) if f(x) = 2x – 5

makkiz [27]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

calculating the value of standard deivation:

Standard Deivation (SD) = $\sqrt{Variance}$

$= \sqrt{26.13} \\\\=5.111$

6 0

3 years ago

What is the domain of f(x)?<br> {x|1 {x|1 {yl-4 {y|-4

Paul [167]

Answer:

$1\leq x$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The domain of a function is the set of all possible values of x

The domain of the line with negative slope is the interval [1,3)

The domain of the line with slope equal to zero (horizontal line ) is the interval [3,5)

The domain of the piece-wise function is the interval [1,5)

$1\leq x$

The value of x=1 is included in the domain set

The value of x=5 is not included in the domain set

3 0

4 years ago

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

$p=X/n=370/559=0.6619$