60 marks out of 75 full marks
express in percent

​

Answer:

both of the solution is B and C

Answer:

Step-by-step explanation:

61 is divisible by itself and 1. It's prime.

102 ends in a 2. Therefore it is not prime because it can be divided by 2,

75 = 3*5*5 not prime.

64 = 2 * 2 * 2 *2 * 2*2 Not prime.

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

The change received by Judy is $ 2.69.

Step-by-step explanation:

Bill paid = $ 10

Cost of binder = $ 1.38

Cost of pack of pencils = $ 2.05

Cost of box of erasers = $ 3.88

Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31

The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69

The equation of a circle that has a radius of 9 and a center at (-2, 7) is the option;

A circle is a set that comprises all points that are equidistant from a point on a plane

The general form of the equation of a circle is; x² + y² + 2•g•x + 2•f•y + c = 0

The equation of a circle can also be presented in standard form as follows;

Where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius of the circle

The given parameters are;

The radius of the circle, r = 9

Taking the coordinates of the center of the circle, (h, k) = (-2, 7)

The equation of the circle in standard form is therefore obtained by plugging in the values of h, k, and r as follows;

(x - h)² + (y - k)² = r²

Which gives;

(x - (-2))² + (y - 7)² = 9²

Which gives;

(x + 2)² + (y - 7)² = 9² = 81

The equation of the circle is therefore the option;

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The Romberg array is a table of values that is used to estimate the value of a definite integral. To compute the Romberg array, we use the Richardson extrapolation method, which is a process of successive approximation.

To compute the eight rows and columns of the Romberg array, we begin by splitting the integration interval into two equal-length subintervals. The trapezoidal method is then applied to each subinterval to produce two estimates of the integral. The Richardson extrapolation method is then used to get a better estimate of the integral based on these two estimations. This operation is continued, splitting the subintervals into smaller and smaller subintervals, until the Romberg array has the necessary number of rows and columns.

The Romberg array's general formula is as follows:

R(m,n) = (4^n R(m,n-1) - R(m-1,n-1)) / (4^n - 1)

where R(m,n) is the value of the integral estimate at row m and column n in the Romberg array.

The first column of the Romberg array contains the estimates obtained by the trapezoidal rule, while the subsequent columns are obtained by applying the Richardson extrapolation method using the values in the previous column.

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The confidence interval gets broader as the confidence level rises because the error bound rises as well. The confidence interval gets narrower as the confidence level is reduced since the error bound is also reduced.

This can be the reason why  you might want to increase the confidence level, even though it means that precision is lost and the interval widens.

We must widen the distance in order to obtain greater trust. The multiplier, which rises with confidence level, shows this clearly. The width of confidence intervals will rise when sample size is increased.

An unknown population parameter's likely range of values is known as a confidence interval. A certain proportion of the confidence intervals will include the population mean if you repeatedly take random samples. The confidence level is expressed as this percentage.

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Answer:

sometimes

Step-by-step explanation:

a supplementary angle is "either of two angles whose sum is 180°".

So, x or y could be any degree, (less than 180 of course) and either one could be obtuse (>90) or acute (<90).

Answer:

B is correct

Step-by-step explanation:

2.5 is the mean of this distribution.

What is the distribution's mean?

Given: p = 0.05 and n= 50

Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5

Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.

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Answer:

a= 69°

b=111°

e=133°

i can find answers for letter c and d

Answer:

i thinks  is -40.1

Step-by-step explanation:

The equation of the line passing through points (-1, 2) and (1, -1) is y = -1.5x + 0.5

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope of the line and b is the y intercept

The line given passes through the point (-1, 2) and (1, -1). The equation is:

y - 2 = [(-1-2)/(1 - (-1)](x - (-1)]

y - 2 = -(3/2)(x + 1)

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

y = -1.5x + 0.5

The equation of the line is y = -1.5x + 0.5

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In an AR (p) scheme the PACF shows p spikes outside the confidence interval is True.

In an AR (p) (autoregressive) scheme, the Partial Autocorrelation Function (PACF) is a plot that shows the correlation between a time series and its lagged values, while controlling for the influence of intermediate lags. The PACF can help identify the order of the autoregressive model.

In an AR (p) scheme, the PACF will typically show p significant spikes outside the confidence interval, indicating the presence of p significant autocorrelations at lags 1, 2, ..., p. These spikes represent the direct effect of each lag on the current value of the time series, while controlling for the influence of other lags.

Therefore, if the PACF shows p spikes outside the confidence interval, it suggests an AR (p) scheme. Hence, the statement is true.

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The classification as proportional relationships or not are;

3) Proportional relationship

4) Proportional relationship

5) Proportional relationship

6) Not Proportional relationship

Proportional relationships are defined as relationships between two variables where their ratios are equivalent.

3) We are told that Ty takes one hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.

Thus;

Ratio of first period = 35/1 = 35 pages per hour

Ratio of second period = 70/2 = 35 pages per hour

Ratio of third period = 105/3 = 35 pages per hour

All ratios are the same and so it is a proportional relationship

4) There are 12 grams of protein in 2 ounces of almond. This is expressed as; 12/2 = 6 grams per ounces which is a proportional relationship

5) Let us look at the ratio of each coordinate;

Coordinate 1; Ratio = 18/4 = 4.5

Coordinate 2; Ratio = 22.5/5 = 4.5

Coordinate 3; Ratio = 27/6 = 4.5

Coordinate 4; Ratio = 31.5/7 = 4.5

This is a proportional relationship

6) Let us look at the ratio of each coordinate;

Coordinate 1; Ratio = 35/1 = 35

Coordinate 2; Ratio = 80/2 = 40

Coordinate 3; Ratio = 180/3 = 60

Coordinate 4; Ratio = 145/4 = 36.25

This is not a proportional relationship because all the ratios are not the same.

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Step-by-step explanation:

To find how many of the same cards the farmer can form at most, we need to find the greatest common factor (GCF) of 78 and 90. One way to do this is to list the factors of each number and find the largest one they have in common:

78: 1, 2, 3, 6, 13, 26, 39, 78

90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The largest factor they have in common is 6, so the farmer can form at most 6 baskets of the same size.

To find how much the farmer gets from the sale of 10 baskets, we need to first find the total number of artichokes and courgettes he has:

78 + 90 = 168

Next, we can find the total amount of money he gets from selling the artichokes and courgettes:

Money from artichokes = 78 × $0.70 = $54.60

Money from courgettes = 90 × $0.40 = $36.00

Total money = $54.60 + $36.00 = $90.60

If the farmer sells 10 baskets, then each basket would have 168/10 = 16.8 artichokes and courgettes. Since he can only form baskets of the same size, he would sell 6 baskets with 16 artichokes and 24 courgettes in each basket. The total amount of money he would get from selling these 6 baskets is:

Money from artichokes = 6 × 16 × $0.70 = $67.20

Money from courgettes = 6 × 24 × $0.40 = $57.60

Total money = $67.20 + $57.60 = $124.80

Therefore, the farmer would get $124.80 from the sale of 10 baskets.

Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

Answer:

True

Step-by-step explanation:

This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.

Answer:

-3 < x < -2

Step-by-step explanation:

Here, we want the interval in which g is increasing

The interval are the point in which we have an upward curve

From the given graph, we can see an upward curve at -3 < x < -2

And that is our answer

The answer to this question is:  f(x + h) = -8(x + h)^2

To find f(x + h), we first need to substitute (x + h) in place of x in the original function f(x) = -8x^2.
f(x + h) = -8(x + h)^2
Next, we need to expand and simplify the expression using the distributive property:
f(x + h) = -8(x^2 + 2xh + h^2)
f(x + h) = -8x^2 - 16xh - 8h^2

Therefore, the answer to the question is:
f(x + h) = -8(x + h)^2
And the explanation is that we substitute (x + h) in place of x in the original function f(x) and simplify the expression using the distributive property.

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Answer:

Carla's Cafe charges more than Dino's dinner for 4 sandwiches because

$32 > $16

Step-by-step explanation:

Answer:

3√6

Step-by-step explanation:

\( {a}^{2} = {b}^{2} + {c}^{2} \)

\( = {1}^{2} + {( \sqrt{53} )}^{2} \)

\( = 1 + 53\)

\( {a}^{2} = 54\)

\(a = \sqrt{54} = 3 \sqrt{6} \)

The probability of choosing such a hand is: 1,025,088 / C(52,6) = 0.0475 or approximately 4.75%  

For part a, we need to find the probability of choosing 2 spades, 2 clubs, and 2 diamonds from a deck of 52 cards. We can use the combination formula to find the number of ways to choose these cards:

C(13,2) * C(13,2) * C(13,2) = 11,881,376

There are C(13,2) ways to choose 2 cards from each suit. And since there are C(52,6) total ways to choose any 6 cards from the deck, the probability of choosing a hand with 2 spades, 2 clubs, and 2 diamonds is:

11,881,376 / C(52,6) = 0.0083 or approximately 0.83%

For part b, we need to find the probability of choosing 2 cards from each of 3 suits. There are C(4,3) ways to choose 3 suits, and C(13,2) ways to choose 2 cards from each suit. So, the number of ways to choose 2 cards from each of 3 suits is:

C(4,3) * C(13,2) * C(13,2) * C(13,2) = 1,025,088

And the probability of choosing such a hand is:

1,025,088 / C(52,6) = 0.0475 or approximately 4.75%

In summary, the probability of choosing a hand with 2 spades, 2 clubs, and 2 diamonds is low at 0.83%. The probability of choosing a hand with 2 cards from each of 3 suits is higher at 4.75%. This shows that certain combinations of cards are more likely to occur than others in a random hand of 6 cards from a deck of 52 cards.

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Answer:

A. 6m - 3

Step-by-step explanation:

6m represents finding the total cost for the 6 packs of muffins.

When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.

After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.

hope this makes sense and help :)

Answer:

A. 6m - 3

Step-by-step explanation:

Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.

that the statistic being collected is the mean difference in scores from the beginning and the end of the semester.

In this scenario, the fourth grade class is given a standardized math test at the beginning and end of the semester. The scores from both tests are compared, and the difference between the two scores is calculated for each student. The mean difference in scores is then considered as a statistic to evaluate the overall progress of the class.

Mean difference is a statistical measure that represents the average difference between two sets of data. It is calculated by subtracting the mean of one set from the mean of the other set and then dividing the result by the number of data points.

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Answer:

es 21

Step-by-step explanation:

The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Answer:

Step-by-step explanation:

y + 5 = 8(x - 0)

y + 5 = 8x - 0

y = 8x - 5