All categories

3 years ago

6.9 X 10^5 divided by 6.3 X 10^3 Please answer quickly!

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

109.5238

Step-by-step explanation:

6.9 X 10^5 / 6.3 X 10^3

=109.5238

Trick:

6.9 X 10⁵ / 6.3 X 10³

=(6.9/6.3) . (10⁵/10³)

=1.95 x 10²

=1.95 x 100

=109.5238

You might be interested in

A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.

nydimaria [60]

Answer:
6.67 miles per hour

6 0

3 years ago

9a-4+3(a-11)=23 how would i solve using multi step equations variables on both sides

GalinKa [24]

9a-4+3a-33=23
9a+3a-29=23
+29 +29
9a+3a=52
-3a -3a
9a=52-3a
9a/9=52/9- 3a/9

a=52/9-1/3a

8 0

4 years ago

A process is normally distributed with a mean of 104 rotations per minute and a standard deviation of 8.2 rotations per minute.

Ilia_Sergeevich [38]

Answer:

Option B) In control as this one data point is not more than three standard deviations from the mean

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 104 rotations per minute

Standard Deviation, σ = 8.2 rotations per

We are given that the distribution of process is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

For x = 118

$z = \displaystyle\frac{118-104}{8.2} = 1.7073$

Thus, we could say that this data point lies within three standard deviations from the mean as:

$\mu - 3\sigma < x < \mu + 3\sigma\\104-3(8.2) < x < 104 + 3(8.2)\\79.4 < 118 < 128.6$

Thus, it could be said

Option B) In control as this one data point is not more than three standard deviations from the mean

6 0

4 years ago

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What

VladimirAG [237]

$\large\bold{Together \: We \: Go \: Far! } \\ \rule{70mm}{2.9pt}$

$\large \bold{✞ \: Problem \: ✞}:$

"A 5-meter ladder is leaning against the wall of a house. The foot of the ladder on the ground is 1.5 meters from the wall. What angle measures does the ladder make with the wall?"

$\rule{70mm}{2.9pt}$

$\large \bold{✞ \: Solution \: ✞}:$

✰ Step 1 ✰: Identify what is asked in the problem.

❒ The angle formed by the ladder with the wall.

✰ Step 2 ✰: Use appropriate trigonometric ratio to solve the problem.

$\quad\qquad \large\tt{ \: \: \: \: \: \: Sine \: ratio} \\ \quad \qquad \large \bigstar \: \: \boxed{\tt { \: \: \sin A= \frac{1.5}{5} \: \: }}$

✰ Step 3 ✰: Solution and interpretation.

$: \qquad \large \implies \tt{ \sin A = \frac{1.5}{5} }$

$: \qquad \large \implies \tt{A = \sin^{ - 1} ( \frac{1.5}{5}) }$

$: \qquad \large \implies \tt{A = 17.46 \approx \pmb{17 \degree} }$

$\rule{70mm}{2.9pt}$

$\large \bold{✞ \: Answer \: ✞}:$

❒ The angle formed by the ladder with the wall is approximately 17°.

$\qquad\rule{70mm}{2.9pt}$

$\large \bold{✰ \: MrHarold \: ࿐}$

3 0

2 years ago

Label the figure 20, 24, 114, 702

Veronika [31]

9514 1404 393

Answer:

Left: area: 702 square feet; perimeter: 114 feet

Right: area: 20 square inches; perimeter: 24 inches

Step-by-step explanation:

<u>Left Figure</u>

The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.

area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...

54 ft +60 ft = 114 ft . . . perimeter

<u>Right Figure</u>

The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...

(2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...

2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter

8 0

3 years ago