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3 years ago

Help pls sorry for bad pic

Mathematics

1 answer:

Artyom0805 [142]3 years ago

8 0

Let x = 9.555...
10x = 95.555

10x - x = 95.555... - 9.555...
9x = 86
x = 86/9

The third option is correct

hope it helps!

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Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters

melamori03 [73]

Answer:

350 milliliters

Step-by-step explanation:

70% of 500 is 350

6 0

3 years ago

PLEASE HURRY!! CIRCUMFERENCE AND PIRIMITER APPLICATIONS question Don't mind the answer I put I didn't mean to click it... thank

Elanso [62]

Option C:

Perimeter of the $\frac{1}{4}$ of a circle = 10.71 cm

Solution:

Given figure is $\frac{1}{4}$ of a circle.

It is a quarter of a circle.

Radius = 3 cm, Value of π = 3.14

To find the perimeter of the quarter of a circle.

Perimeter of the quarter of a circle formula: $$\frac{\pi r}{2}+2r$

$\text {Perimeter} =\frac{\pi r}{2}+2r$

$=\frac{3.14\times3}{2}+2\times3$

$=4.71+6$

$=10.71$

Perimeter of the quarter of a circle = 10.71 cm

Option C: 10.7 is the correct answer.

Hence perimeter of the $\frac{1}{4}$ of a circle is 10.71 cm.

6 0

4 years ago

Please match each function formula with the corresponding transformation of the parent function y= -x^2-1

pishuonlain [190]

Answer:

The answer in the attached figure

Step-by-step explanation:

we have the parent function

$y=-x^{2}-1$

case 1) Reflected across the x-axis

we know that

The rule of the transformation is

(x,y)------> (x,-y)

$y=-(-x^{2}-1)$

$y=x^{2}+1$

case 2) Reflected across the y-axis

we know that

The rule of the transformation is

(x,y)------> (-x,y)

$y=-(-x)^{2}-1$

$y=-x^{2}-1$

case 3) Translated left by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x-1,y)

$y=-(x+1)^{2}-1$

case 4) Translated right by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x+1,y)

$y=-(x-1)^{2}-1$

case 5) Translated down by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y-1)

$y=-(x)^{2}-1-1$

$y=-(x)^{2}-2$

case 6) Translated up by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y+1)

$y=-(x)^{2}-1+1$

$y=-(x)^{2}$

8 0

3 years ago

One hose can fill a small swimming pool in 95 minutes. A larger hose can fill the pool in 30 minutes. How long will it take the

lianna [129]

Answer:

45 mins for two small hoses and 15 mins for two large ones

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A box contains four bowling balls numbered 2, 4, 6, and 10 according to their weight. Two are drawn randomly without replacement

Lilit [14]

Answer:

E(M) = 23/3

Var(M) = 53/9.

Step-by-step explanation:

There are three possible values for M: 4, 6, and 10.

$\begin{array}{|l|l|}\cline{1-2}\\[-1em]\text{Larger Number} & \text{Smaller Number}\\ \cline{1-2}\\[-1em]4 & 2 \\\cline{1-2}\\[-1em]6 & 2, ~4\\\cline{1-2}\\[-1em] 10 & 2, ~4, ~6\\\cline{1-2} \end{array}$ .

That's six unique combinations in total. If the balls are drawn randomly, the probability for getting each combination shall be equal. That is:

$\begin{array}{|c|c|}\cline{1-2}\\[-1em]m & P(\text{M} = m)\\\cline{1-2}\\[-1em] 2 & 0\\\cline{1-2}\\[-1em] 4 & 1/6 \\\cline{1-2}\\[-1em] 6 & 2/6\\\cline{1-2}\\[-1em] 10 & 3/6\\\cline{1-2}\end{array}$ .

Consider the formula for the expected value of a discrete random variable:

$\begin{aligned} E({\rm M})& = \sum{[m \cdot P(\mathrm{M} = m)]}\\ &= 4 \times \frac{1}{6} + 6\times \frac{2}{6} + 10 \times \frac{3}{6}\\ &= \frac{23}{3}\end{aligned}$ .

Formula for the variance of a discrete random variable (note that this formula can take many other forms):

$\begin{aligned}Var(\mathrm{M}) &= \sum{[m^{2}\cdot P(\mathrm{M}= m)]} - \mu^{2}\\&= 4^{2}\times \frac{1}{6} + 6^{2} \times \frac{2}{6} + 10^{2} \times \frac{3}{6} - \left(\frac{23}{3}\right)^{2}\\&= \frac{53}{9}\end{aligned}$ .

5 0

3 years ago