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3 years ago

Please answer

Mathematics

2 answers:

erik [133]3 years ago

8 0

Answer:

5x+2y=35

Step-by-step explanation:

Let me know if this is wrong.

nikitadnepr [17]3 years ago

3 0

Answer: The correct answer is the first one, x+y=35, 5x+2y=100.

Step-by-step explanation: I got it correct on Edge, Hope this helps :)

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Simplify the radical

mamaluj [8]

Answer:

$9d^3$

Step-by-step explanation:

$~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3$

4 0

2 years ago

Write 80 as a product of prime factors

DedPeter [7]

80=20x4=10x2x2x2=5x2x2x2x2

5x2x2x2x2

6 0

4 years ago

Read 2 more answers

Find the measure of angle ABC. A. 124 B. 97 C. 56 D. 51

ss7ja [257]

Answer D. 51

Step-by-step explanation:

Sum of the interior angles of a triangle is up to 180

.: 32+(2x-15) + (x-5) = 180

Group like terms

2x+x =180 - 32 + 15 + 5

When - and + sign cross equal sign it turns to the opposite

3x = 168

x= 168/3

.: X =56

Now put x = 56 in (x - 5)

Angle ABC = 51

3 0

4 years ago

Read 2 more answers

The amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a stan

Ber [7]

Answer:

When sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.

Step-by-step explanation:

We are given the amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a standard deviation of 0.35 hour.

Random samples of size 23 and 35 are drawn from the population and the mean of each sample is determined.

Here, $\mu$ = population mean = 7.5 hours

$\sigma$ = population standard deviation = 0.35 hour

Let $\bar X$ = sample mean

(a) The random samples of size of n = 23 is drawn from the population;

So, mean of the distribution of sample means = $\mu$ = 7.5 hours

Standard deviation for the distribution of sample means is given by;

s = $\frac{\sigma}{\sqrt{n} }$ = $\frac{0.35}{23}$ = 0.073

(b) The random samples of size of n = 35 is drawn from the population;

So, mean of the distribution of sample means = $\mu$ = 7.5 hours

Standard deviation for the distribution of sample means is given by;

s = $\frac{\sigma}{\sqrt{n} }$ = $} \frac{0.35}{\sqrt{35} }$ = 0.059

(c) So, as we can see that when sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.

4 0

4 years ago

8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D.

Alex

9514 1404 393

Answer:

D. (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

The sum of squares in each case is ...

A. 3² +0² = 9 . . . inside the circle

B. 4² +2² = 20 . . . inside the circle

C. 5² +3² = 34 . . . inside the circle

D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

E. 4² +4² = 32 . . . inside the circle

F. 1² +5² = 26 . . . inside the circle

6 0

3 years ago