(b) what is the bravais lattice (again no calculations needed). (c) estimate the lattice parameter, a (show your calculation).

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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The value of P(A and B) = 0.08

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are independent events. P(A)=0.80 and P(B)=0.1

Since the events are independent

so, the formula used to find P(A and B) is

P(A and B) = P(A) x P(B)

P(A)= 0.80

P(B) = 0.10

Finding P(A and B)

P(A and B) = P(A) * P(B)

P(A and B) =0.80 x 0.10

P(A and B) = 0.08

So, Option c is correct.

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Answer:

$17.33

Step-by-step explanation:

3.5×4.95

=17.325

= $17.33

Answer:

x=\(\frac{3}{4}\), - \(\frac{3}{4}\)

Step-by-step explanation:

The number of bales of hay the horses fed each day is 1/18.

Given that, the cattle at the Clark Farm are fed 1/3 of a bale of hay each day. The horses are fed 1/6 as much hay as the cattle.

We need to find how many bales of hay are the horses fed each day.

The multiplication of fractions is not like the addition or subtraction of fractions, where the denominator should be the same. Here, any two fractions with different denominators can easily be multiplied. The only thing to be kept in mind is that the fractions should not be in the mixed form, they should either be proper fractions or improper fractions. Let us learn how to multiply fractions through the following steps:

Step 1: Multiply the numerators.

Step 2: Multiply the denominators.

Step 3: Reduce the resultant fraction to its lowest terms.

Now, the horses are fed 1/6 as much hay as the cattle

That is, 1/6(1/3)=1/18

Therefore, the number of bales of hay the horses fed each day is 1/18.

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Answer:

x=-2 or x=2

Step-by-step explanation:

absolute value gives two possible answers

... Okay lol

Answer:

x = -2, 2

Explanatoin:

     So there are two possible answers. -2 and 2. This is because the absoulte value is the distance the number is from 0, and both -2 and 2 are 2 units away from 0.

Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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Answer:

7 4/11

Step-by-step explanation:

this is the answer

Answer:

7  4/11

Step-by-step explanation:

81/11= 7  4/11

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

The scatterplot between a predictor variable and an outcome with a non-linear relationship would not form a straight line, but rather a curved or nonlinear shape.

In linear regression, we assume that there is a linear relationship between the predictor variable and the outcome. However, this assumption may not hold in all cases, and there may be cases where the relationship between the two variables is not linear.

In such cases, a straight line may not be a good fit for the data, and a non-linear model may be more appropriate. In a scatterplot, a non-linear relationship would be indicated by a curve or a nonlinear shape rather than a straight line.

Examples of non-linear relationships include exponential, logarithmic, and polynomial relationships. It is important to identify and account for non-linear relationships when modeling data to ensure accurate and valid results.

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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The total rainfall in the three-day period is 157/24 inches, which is approximately 6.54 inches when rounded to two decimal places.

To find the total rainfall over a three-day period, you need to add up the rainfall amounts for each day.

First day: 3 1/2 inches

Second day: 3/8 inches

Third day: 2 2/3 inches

To add these fractions and mixed numbers, let's convert them to a common denominator. In this case, we'll use 8.

First day: 3 1/2 inches = 7/2 inches

Second day: 3/8 inches

Third day:  2/3 inches = 8/3 inches

Now, we can add the rainfall amounts:

7/2 + 3/8 + 8/3

To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 2, 8, and 3 is 24. Let's convert each fraction to have a denominator of 24:

(7/2) (12/12) = 84/24

(3/8)  (3/3) = 9/24

(8/3)  (8/8) = 64/24

Now, we can add the fractions:

84/24 + 9/24 + 64/24 = 157/24

Therefore, the total rainfall in the three-day period is 157/24 inches, which is approximately 6.54 inches when rounded to two decimal places.

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Answer:

mean is $11

median is $10

Step-by-step explanation:

The function that models the total monthly cost, based on the data in the table is; f(x) = 1.25·x + 30

A function is a rule, definition or law that specifies an output based on the input provided , such that each input is mapped to exactly one output

The function that models the monthly cost can be found as follows;

Number of songs downloaded \({}\)       Monthly cost

0 \({}\)                                                            30.00

1\({}\)                                                              31.25

2\({}\)                                                             32.50

3\({}\)                                                             33.75

4 \({}\)                                                            35.00

The required value of x is; x ≥ 0

The function, f(x) can be found by analyzing the data provided in the table as follows;

The first difference of the data in the Monthly cost column is; 35 - 33.75 = 33.75 - 32.5 = 32.5 - 31.25 = 31.25 - 30.00 = 1.25 = Constant

The (first) difference in the values in the Number of Songs Downloaded column is 1 (constant), therefore, the function is a linear function with a slope of 1.25

The value of the function which is the Monthly cost When the Number of Songs Downloaded is 0 is 30, therefore, the y-intercept is; c = 30

The function f(x) is therefore; f(x) = 1.25·x - 30

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Answer:

https://brainly.com/question/5028859

Step-by-step explanation:

Go to this link and your question will be answered.

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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Answer:

its 939.9 i think i multiplied 1.30 by 723 to get 939.9 so i believe its 939.9

Step-by-step explanation:

The probability that at most eight of ten independently selected specimens have a hardness less than 73.84 is 0.2639.

Probability:

The chance that a particular event (or set of events) will occur is expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%. The analysis of events governed by probability is called statistics.

Here we have to find the probability:

The probability that each specimen has a hardness less than 73.84 is:

p =Ф( Z< 973.84 - 70)/ 3)

= Ф(Z<1.28 ) = 0.899

P(X<=8) = 1 - P(X=9) - P (X=10)

= 0.2639

So out of 10 specimens, the probability that 8 or fewer have a hardness less than 73.84 is 0.2639

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Answer:

Step-by-step explanation:

As per given, the relationship is:

To fill in the table we get:

Answer:

16.) The solution to this inequality is x < -4 or x > -3.

17.) To solve for b, we need to isolate b on one side of the equation. To do this, we can subtract ab from both sides of the equation, which gives us xy = cd - ab. Then, we can divide both sides of the equation by xy, which gives us b = (cd - ab)/xy.

18.) To solve for a, we need to isolate a on one side of the equation. To do this, we can divide both sides of the equation by 3, which gives us a - b = 3mn. Then, we can add b to both sides of the equation, which gives us a = b + 3mn.

19.) To factor this expression, we first distribute the 3x2 to get 3x2y - 6x2. Then, we notice that the 3x2 and the -6x2 have a common factor of -3x2, so we can factor them out to get -3x2(y - 2) - 5(y - 2). Finally, we notice that the -3x2(y - 2) and the -5(y - 2) have a common factor of -(y - 2), so we can factor them out to get -(y - 2)(3x2 - 5).

20.) To factor this expression, we notice that the kmfd and the -3jkm have a common factor of -jkm, so we can factor them out to get -jkm(f - 3).

21.) To factor this expression, we notice that 49 is a perfect square, so we can write 49 as 72. Then, we can factor out the x from the x2 to get 7x(x - 9).

22.) To factor this expression, we notice that 64 is a perfect square, so we can write 64 as 82. Then, we can factor out the x from the x2 to get 8x(x + y).

23.) To factor this expression, we notice that the x2 and the -35 have a common factor of x - 5, so we can factor them out to get (x - 5)(x + 7).

24.) To factor this expression, we notice that the 2x2 and the 14 have a common factor of 2, so we can factor them out to get 2(x2 + 11x + 7). Then, we notice that the x2 and the 7 have a common factor of x + 1, so we can factor them out to get 2(x + 1)(x + 7).

25.) To factor this expression, we notice that the x2 and the -63 have a common factor of x + 9, so we can factor them out to get (x + 9)(x - 7).

26.) To factor this expression, we notice that the 3x2 and the 7 have a common factor of 3x + 7, so we can factor them out to get 3(x + 1)(x - 2).

Answer:

ya

Step-by-step explanation:

Answer:

Exact Form:

37/16

Decimal Form:

2.3125

Mixed Number Form:

2 5/16

Step-by-step explanation:

A. P(AB) = 0.19, B. P(BA) = 0.78, C. P(A and B) = 0.1482, D. P(A or B) = 0.97. The probability of both A and B occurring is the product of the individual probabilities, and the probability of either A or B occurring is the sum of the individual probabilities.

A. P(AB) = 0.19

B. P(BA) = 0.78

C. P(A and B) = 0.19 x 0.78 = 0.1482

D. P(A or B) = 0.19 + 0.78 = 0.97

Since A and B are independent events, the probability of both events happening (AB) is the product of the individual probabilities. Therefore, P(AB) = 0.19. The probability of B occurring first and then A (BA) is the same as the probability of A occurring, since the order does not matter. Hence, P(BA) = 0.78. The probability of both A and B occurring is the product of the individual probabilities, P(A and B) is 0.19 x 0.78, or 0.1482. P(A or B) = 0.19 + 0.78 = 0.97, where P(A or B) represents the likelihood of either A or B happening.. This is because A or B occurring can be thought of as either A occurring and B not occurring, or B occurring and A not occurring. Therefore, the probabilities of these events must be added together to get the total probability.

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Answer:

D

Step-by-step explanation:

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Based on the given information, we can answer the following questions:

Therefore, the total cost of all the approved projects is 31,390 GHC.

The project with the highest cost is "Restock the computer laboratory with new computers" with a cost of 9,990 GHC.

Percentage of budget = (Cost of buying prizes / Total cost) x 100%

Percentage of budget = (5,270 / 31,390) x 100%

Percentage of budget = 0.1676 x 100%

Percentage of budget = 16.76%

Therefore, 16.76% of the total budget is allocated to buying prizes for awards.

The project with the highest cost in the budget approved by the school management committee is restocking the computer laboratory with new computers, with a cost of GHC 9,990.00.

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Therefore, the expression (x⁴√2 - x) can be written as the difference of logarithms: 2x log(2) - log(x).

To express the expression (x⁴√2 - x) as a sum and/or difference of logarithms, we can use the properties of logarithms.

First, let's rewrite the expression using exponentiation:

x⁴√2 - x = √2⁴ˣ - x

Now, we can express this as a difference of logarithms:

√2⁴ˣ - x = log(√2⁴ˣ) - log(x)

Since the square root of 2 can be written as 2^(1/2), we can further simplify:

log(√2⁴ˣ) - log(x) = log((√2))⁴ˣ) - log(x)

Using the power rule of logarithms, we can simplify the expression inside the logarithm:

log((√2))⁴ˣ) - log(x) = log(2²ˣ) - log(x)

Finally, applying the power rule of logarithms again, we can write the expression as:

log(2²ˣ) - log(x) = 2x log(2) - log(x)

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