what is equivalent to -1/2(1/4x-3/8)

Answer:

1.28

Step-by-step explanation:

We are given;

Population mean; μ = 16

Population standard deviation; σ = 3.9

Sample mean; x' = 21

Formula for z-score is;

z = (x' - μ)/σ

z = (21 - 16)/3.9

z = 1.28

Answer:

100%

Step-by-step explanation:

90+10=100

Answer:

Step-by-step explanation:

Oh god that’s 100% of the cheddar bag used! PAPYRUS NO THATS TOO MUCH YOULL RUIN UR SPAGHETTI AND SANS UR NOT HELPING. Oh god what if Sans sabotaged his spaghetti... It’s either that, or a more logical explanation: Sans used 90% of the cheddar to flavor his ketchup, while Papyrus was left with the last bit for his spaghetti...?

Papyrus: I am now going to make one of my famous spaghetti dishes with not 10%, but 20% cheddar! Sans! Give me the cheese bag!

Sans: Sure, bud. *hands over 10% of cheddar left in bag*

Papyrus: This... this is only 10% though... now I can’t make my soon to be famous 20% cheese spaghetti... OH MY GOD THIS IS A DISASTER

One like = giving Papyrus that last 10% he needs for his famous spaghetti

Answer:

76.553 yards

Step-by-step explanation:

1m=1.094 yards

70×1.094=76.553yards

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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a)

This is a geometrical sequence, which means that the common ratio is multiplied to get the next number in the sequence.

To calculate the common ratio of the sequence you have to divide one number of the set by the number below it:

r=2

b)

"a" represents the first number of the set.

"ar" is the second number of the set

"arr" or "ar²" is the third value of the set

"ar³" is the fourth value of the set

You can repeat this as many times as you want, this is symbolized as "n-1" where n represents the number of times you repeat the multiplication and the "-1" is because the first value of the term is the only one you know and was determined before staring the sequence.

So you can calculate any value of the sequence as:

n is always equal or greater than 1.

To make it simpler you can replace n-1 with k, where k will represent the position in the sequence you wish to calculate:

For k is equal or greater to zero.

c)

To find the 9th term of the sequence you have to use the formula above:

a=5

r=2

k=9

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

The probability that the couple will have 3 normal girls is approximately 0.422

Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.

The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.

We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:

P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)

The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.

Therefore, the probability of having 3 normal children (in this case, girls) is:

P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422

So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.

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Answer:

x = 18

Step-by-step explanation:

4x and 90 - x are vertically opposite angles and are congruent, then

4x = 90 - x ( add x to both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Answer:

he will eat 35/64  of the whole pie

Step-by-step explanation:

i hope i helped

Answer:

30

Step-by-step explanation:

The equation will be:

x - (10% of x) = 27

x - 0.1x = 30

0.9x = 30

Divide by 0.9

x = 30

The number is 30

Second question:

Length = 2x - 3

Width = x

Perimeter = 72

Perimeter = 2(l + w)

= 2(2x - 3 + x) = 72

4x - 6 + 2x = 72

6x = 72 + 6

6x = 78

w = 78/6 = 13

The width is 13 meters

The slope of a straight line is calculated by the formula

Hence,

Option B is the correct

Step-by-step explanation:

-x-2-2x=-2x-2

-x-2=-2

x=0

Answer:

Step-by-step explanation: \((\sqrt[4]{x})^{2} - 3\sqrt[4]{x} -4=0\)

\(\sqrt[4]{x} = u\) ⇒ u² - 3u -4 =0 ⇒ \(\left \{ {{u=4} \atop {u=-1}} \right.\) choose u=4 ( \(\sqrt{x} > 0\) )

⇒ x=256

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

https://brainly.com/question/24093265

Step-by-step explanation will be provided in the link above!

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

y = 1/2(-4) + 2 = -2 + 2 = 0

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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The answer that makes the sentence true is: 1 - P(not X) is the same as P(X).Therefore,  the correct answer is: P(X)

(a) To determine the probabilities of events X (drawing a grey card) and not X (drawing a non-grey card), we need to analyze the given information.

We are given that the cards numbered 2, 3, and 4 are grey, while the cards numbered 1 and 5 are white.

For event X (drawing a grey card), the outcomes contained in this event are 2, 3, and 4. Therefore, the probability of event X, denoted as P(X), is the number of outcomes in X divided by the total number of possible outcomes.

Since there are 5 cards in total, the probability of drawing a grey card is:

P(X) = Number of grey cards / Total number of cards

    = 3 / 5

    = 0.6

For event not X (drawing a non-grey card), the outcomes contained in this event are 1 and 5. Thus, the probability of event not X, denoted as P(not X), is:

P(not X) = Number of non-grey cards / Total number of cards

        = 2 / 5

        = 0.4

The completed table is as follows:

Event   |     X     |   Not X

Outcomes|   2, 3, 4 |    1, 5

Probability | P(X) = 0.6 | P(not X) = 0.4

(b) Subtracting 1 - P(not X) is equivalent to finding the probability of event X. Therefore, the answer that makes the sentence true is:

1 - P(not X) is the same as P(X).

Therefore, the correct answer is: P(X)

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Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

Answer:

x = 41

Step-by-step explanation:

6(x−6)=5(x+1)

Step 1 - Expand the brackets:

6(x - 6) = 5(x + 1)

6x - 36 = 5x + 5

Step 2 - Add 36 to both sides of the equation:

6x - 36 + 36 = 5x + 5 + 36

6x = 5x + 41

Step 3 - Subtract 5x from both sides of the equation:

6x - 5x = 5x + 41 - 5x

x = 41

Hope this helps!

\(\large\underline{\sf{Solution-}}\)

Given expression:

6(X - 6) = 5(X + 1)

⇛6X - 36 = 5X + 5

⇛6X - 5X = 5 + 36

⇛X = 41 Ans.

Read more:

Similar question

simplify 6/x-6+3x/x+5-1/(x-6)(x+5)....

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The mean of a distribution is 217, while the median is 217.The statements is likely to be true about the distribution is  option  D. It is not symmetrical.

The distribution is likely to be asymmetrical if the mean and median have different values. If the mean and median of a distribution are equal, it is likely that the distribution is symmetrical, which means it has equal tail sizes on both sides. However, if the mean and median are not equal, it indicates that the distribution is skewed.

A negatively skewed distribution means that the mean is less than the median, whereas a positively skewed distribution means that the mean is greater than the median.In this case, since the mean and median of the distribution are equal, it is likely to be symmetrical. Since none of the options say "symmetrical," option D, "It is not symmetrical," is the correct answer.

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Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.

To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.

Expanding the first term, we get 4x^2 + 4x.

Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.

Combining like terms, we obtain -3x^2 - 4x - 32.

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Answer:

A

Step-by-step explanation:

Length : \(\frac{7x}{2} + 7y\)

Perimeter: \(15x + 17y\)

Perimeter = 2(Length + Width)

15x + 17y = 2( \(\frac{7x}{2} + 7y\) + Width)

15x + 17y = 7x + 14y + 2(Width)

15x + 17y -7x -14y = 2(Width)

8x + 3y = 2(Width)

Width = \(\frac{8x + 3y}{2}\)

Width = 4x + 3y/2

The inequality to compare the balances in the accounts x <-26

Based on the given parameters in the question, the balances are given as

Bank Account Balance 1 = -$26

Bank Account Balance 2 is less than Bank Account Balance 1

This above balances can be represented as be expressed as

Bank Account Balance 2 is less than Bank Account Balance 1

So, we have

x is less than Bank Account Balance 1

In this case, the variable x represents balance 2

Express less than inequality using less than inequality symbol <

So, we have the following inequality expression

x < balance 2

Substitute -26 for balance 2

x < -26

Hence, the inequality to compare the balances in the accounts x <-26

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Answer:

12x^3 +20xy

Step-by-step explanation:

Hope this Helped!!!!!!!!!!!!

Answer:

Technically it is 12x^3 + 20xy but the answer choice is 12 and 20.

Step-by-step explanation:

For the work, you need to distribute 4x to each term in the ( ).

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

$21.04

Step-by-step explanation:

123.76 x 17% = 21.0392 = 21.04

Answer:

There were 52 people on the bus to begin with.

Step-by-step explanation:

If 17 people got off and 35 were remaining then you have to add 17 + 35 = 52

Answer:

17+35=52

Step-by-step explanation:

AT BEGNING THERE WERE 52 people on bus so when the 17 people got off the bus on first stop only 35 remained.