4. In a mixture of 45 litters, the ratio of sugar solution to salt solution is 1:2. What is the
amount of sugar solution to be added if the ratio has to be 2:1?​

Answer: 0.1595

Step-by-step explanation:

Poisson Distribution Formula

[tex]$$P(\mathrm{X}=x)=\dfrac{\lambda^{x} e^{-\lambda}}{x !}$$\\\text{ where }$x=0,1,2,3, \ldots$\\\\$\lambda=$ mean number of occurrences in the interval\\\\$e=$ Euler's constant $\approx 2.71828$[/tex]

Here, [tex]\lambda= 6.3[/tex]

x= 6

[tex]P(X=6)=\frac{6.3^6e^{-6.3}}{6!}[/tex]

[tex]\approx0.1595[/tex]

Hence, the probability of having exactly six (6) errors on a page = 0.1595

Answer:

C

Step-by-step explanation:

S(6)= -2(1-(-3)^6)/1-(-3)

Answer:

n = 20

Step-by-step explanation:

[tex]\frac{16}{40} = \frac{8}{n}[/tex]

Cross multiplication would result in:

16 * n = 8 * 40

16n = 320

n = 320 / 16

n = 20

Therefore the value of "n" in this proportion is 20.

Hope this helps!

Answer:G

Step-by-step explanation:Since it is decreasing in size, the coordinates have to be negative so the only answer is G

This is a Right answer....

Answer:

x³ - 1 = 12x

Step-by-step explanation:

A number cubed decreased by 1 is equal to the product of the number and 12

x³ - 1 = 12x

Answer:

12 bottles of water.

Step-by-step explanation:

Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.

Answer:

New price =$6.60

Step-by-step explanation:

[tex]deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60[/tex]

Hello there I hope you are having an great day :) A toy has an original price of $12. Find the new price after 45% decrease,

Find the original price - $12

Get the the discount percentage - 45%

Calculate the savings: 45% of $12 = 3.73

Subtract the savings from the original price to get the sale price: $12 - $3.73 = £8.27

Original Price = Sale Price / ( 1 - Percent Off / 100 ) = 21.8182 that would b the answer :)

Answer:  -157,464

Step-by-step explanation:

an=a^1*r^n-1

a10=8*-3^10-1

a10=8*-3^9

a10=8*-19683

a10=-157464

Answer:

a10 = -157,464

Step-by-step explanation:

a1 = 8

a2 = -24

r = a2/a1 = -3

an = a1 × r^(n - 1)

a10 = a1 × (-3)^(10 - 1)

a10 = 8 × (-3)^(9)

a10 = -157,464

Answer:

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

[tex]P(A) = \frac{200}{1500}[/tex]

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

[tex]P(A \cap B) = \frac{45}{1500}[/tex]

What is the probability that a high school member selected at random is on the swim team?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Answer:

B. One solution

Step-by-step explanation:

The only solution is x = 0

Answer:

17 years

Step-by-step explanation:

We can use a known formula (n being the number of years)

n = log(17323/8500) / log (1+ 0.045) = 16.17

Answer:

Step-by-step explanation:

yes two triangles are congruent by SSS theorem (side Side Side)

Answer:

Yes, women better at multitasking than men.

Step-by-step explanation:

Given

[tex]n_1=120[/tex] --- Men

[tex]n_2=120[/tex] --- Women

[tex]\bar x_2 > \bar x_1[/tex] --- Women with greater average speed

Required

Does women better at multitasking?

When making comparison between two variables that are subjected to the same conditions;

If both variables have different mean values; the variable with the greater mean value performs better.

So, in this case:

[tex]\bar x_2 > \bar x_1[/tex] means that women perform better than men, at multitasking.

Answer:

12.5 pi or 39.26990

Step-by-step explanation:

First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:

[tex]\frac{\pi r^2}{2}[/tex]

We can substitute what we have:

[tex]\frac{25\pi }{2}[/tex]

This gives us:

12.5 pi or 39.26990(Not sure what format you need it in)

Answer:

#1 I believe the answer is 4 and for 2 I believe the answers are 3&4

Answer:

M =6

Step-by-step explanation:

T2/T1=T3/T2

M/4=9/m

M^2=36

M=+ or - 6

As m is continued ignore - 6

Then get m =6

Answer:

Remember that if we have a proposition P, ¬P is the negation of that proposition.

We have:

W = car is white

¬W = car is not white

N = car is new

¬N = car is not new

M = the car is mine

¬M = the car is not mine.

Now, whit that defined, let's analyze the statements:

a: " If the car is not white and new, then it is mine."

We can write this as:

"Not W and N, then M"

using only symbols this is:

(¬W ∧ N) ⇒ M

where the symbol ∧ means "and"

and the symbol ⇒ means "then"

b " The car being white or new is a sufficient condition for it being not mine."

We can rewrite this in a simpler way:

"if the car is white or new, then is not mine"

We can write this as:

W or N, then, not M

using the symbols, we get:

(W ∨ N) ⇒ ¬M

Where the symbol ∨ means "or"

c " The car is mine if and only if it is new and not white."

This can be rewritten as:

"M if and only if N and not W"

Using only symbols, we get:

M ⇔ (N ∧ ¬W)

Where "⇔" means "if and only if"

=========================================

Work Shown:

Here are the variables we're working with

In this case, we know that

We can use this formula to help find the answer

S = (n/2)*(a+b)

This formula only works for arithmetic sequences

So,

S = (n/2)*(a+b)

42 = (14/2)*(a+(-12))

42 = 7(a-12)

42/7 = a-12

6 = a-12

6+12 = a

18 = a

a = 18 is the first term of this arithmetic sequence

That's why the answer is choice D.

-----------

Side note: your book or your teacher may use the notation [tex]S_n = \frac{n}{2}(a_1+a_n)[/tex] but I figured it would be easier to use 'a' and b in place of [tex]a_1[/tex] and [tex]a_n[/tex] respectively.

Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14

Answer:

you forgot to link the photo

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

p-20=46

p= 46+20

p=66

Answer:

c

Step-by-step explanation:

Answer:

the answer is B & F

Answer:

5.42 feet

Step-by-step explanation:

12 inches=1 foot

65/12=5.41667

5.41667=5.42 feet

Answer:

5.42 feet

Step-by-step explanation: i hope its right and sorry if it's wrong

[tex]\huge{ \mathrm{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The logarithmic expression for the given exponential expression is :

[tex]\large\boxed{ \mathrm{ log_{4}(b )= a}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

Answer:

median: 104.5

mean: 102.4

mode: 95

Step-by-step explanation:

Answer:

a. Use the regression equation

Step-by-step explanation:

Given

See attachment for missing part of question

Required

What can be used to predict diameter, given family income

We can see (by observation) that the data on the table can only be represented on a scattered plot, and scattered plot uses regression equation for data prediction.

i.e. [tex]y = mx + b[/tex] --- equation of line of best fit

In this case;

[tex]x \to income[/tex]

[tex]y \to diameter[/tex]

When the x value (income) is known, we can simply plug in the value in the above equation to get the y value (diameter)

Answer:

slope = 1/6

Step-by-step explanation:

(-3--4)/1--5)

rise/run

so slope = 1/6

Answer:

-6

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

-6 (not 100% sure)

Step-by-step explanation:

4x = 28

4 × 7 = 28

so

29 - 5x

if x is 7, 5 × 7 = 35

29 - 35 = -6