6th grade math help me please :))

Answer:

Amy's Total = $11.05

Step-by-step explanation:

Dinner = $27.63

Since there are 3 people in total, each person pays $9.21

27.63 / 3 = 9.21

Amy wants to leave a 20% tip

9.21 x 0.2 = 1.842

9.21 + 1.842 = 11.052

Amy pays $11.05

Answer:

11.05 (Into MAth)

Step-by-step explanation:

Answer:7

Step-by-step explanation:

This question is on the ukmt junior maths challenge which I'm doing now, out of the options given I got 7, because 2+4+6+5+(5×20)+(7×7)= 166, (then dividing that by the number of numbers to get the mean) so 166÷31= 5.354.....

Also the 3 has a recurring symbol above it

The 7 is times seven so uh yeah<3

The smallest possible value of 'q' is 7 and this can be determined by using the hit and trial method and mean formula.

Given :

The following steps can be used in order to determine the smallest possible value of q:

Step 1 - The formula of the mean can be used in order to determine the smallest possible value of q.

Step 2 - The mean of all the numbers is given by:

\(\rm \dfrac{2+4+6+5+5p+7q}{6+p+q}=5.3\)

\(\rm \dfrac{21 + 5p + 7 q}{6+p+q} = 5.3\)

Step 3 - So, by the hit and trial method, the value of q can be determined.

Therefore, the value of 'q' is 7.

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Answer:

64 feet

Step-by-step explanation: 8 x 8 = 64, we know to duplicate 8 since it is a Square Garden.

Hope this Helps!

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Answer:

Step-by-step explanation:

From the missing information;

Lets assume that;

\(\text{the exponential distribution mean = 500 thousand naira}\)

\(\text{Range 100 thousand}\) → \(\text{1 million naira}\)

∴

a)

\(X \sim exp (\dfrac{1}{500}) \\ \\ P( X \le x) = 1 - e^{\dfrac{-x}{500}} \\ \\ P(X < 700) = 1 - e^{\frac{-7}{5}} \\ \\ \mathbf{P(X< 700) = 0.75340}\)

b)

\(Y \sim \cup (100,1000) \implies P(Y \le y ) = \dfrac{y - 100}{1000-100} \\ \\ P(Y < 700) = \dfrac{600}{900} = 0.67\)

c)

\(P(X < 830)= 1 - e^{\frac{-830}{500}} \\ \\ P(X < 830)= 1 - 0.1901 \\ \\ P(X < 830)=0.8099 \\ \\ P(Y < 830) = \dfrac{730}{900} = 0.8111 \\ \\ Thus;\mathbf{ P(X < 0.8099) = P(Y< 0.8111)}\)

Answer:

135

Step-by-step explanation:

26+28+25+24+x/5 = 27........... 103+x = 27*5.......... 103+x = 135........ x = 135-103.

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer: 3(n+2)

Step-by-step explanation:

The diameter of the circle, given the radius of 8 m, can be found to be 16 m.

One can discover the diameter of a circle, based on its radius, by multiplying the radius value with 2 since the length of the diameter is twice that of the former.

Comparatively, another segment of equal distance measured between the central position of the same given circle to only one point found within the border outline is called the radius. Henceforth, simply duplicating the established radius equivalent will provide conclusive knowledge of its corresponding diameter measure.

The diameter is therefore :

= 8 x 2

= 16 meters

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

The response scale will yield: nominal data.

Nominal scale is a scale of measurement of data that uses numbers to identify or label groups of data, however, the numbers have no numerical value other than for identification purposes.

In the response scale given, the numbers are only used for identification, and they therefore have no numerical value.

Therefore, the response scale will yield: nominal data.

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Answer:

-7

Step-by-step explanation:

Answer:

7i

Step-by-step explanation:

the square root of 49 is 7

i equals -1

7 squared times -1 equals -49

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

I thinks it's 2 an 3 sorry if I'm wrong btw have a nice day

Answer:

.79x+24=1.29

took way long then it should my fault but 1.29-.79=.5

x=18/.5

x=36 sorry for taking so long and this the answer i just answered it in a weird way sorry

Step-by-step explanation:

Answer:

B, C, D

Step-by-step explanation:

-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.

B.

6 - (-2)

6 + 2 = 8

C.

| -2| = 2

6+2 = 8

D.

|-2+6|

2+6 = 8

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 120, \sigma = 5.6\)

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{121.4 - 120}{5.6}\)

\(Z = 0.25\)

\(Z = 0.25\) has a pvalue of 0.5987

X = 119.4

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{119.4 - 120}{5.6}\)

\(Z = -0.11\)

\(Z = -0.11\) has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Answer:

Segment Addition Postulate.

Step-by-step explanation:

The segment addition postulate justifies the statement:

\(AQ+QB=AB\)

To help this make sense, you are namely adding segments on a line in order to achieve a complete line segment.

The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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Step-by-step explanation:

..................see picture....

55÷11[120÷2{4+(10+5-7)}]

5[60{4+(8)}]

5[60{4+8}]

5[60{12}]

5[60+12]

5[72]

5+72

77

so answer is 77

Problem 1

We can divide these problem in two rectangle triangles the first one with the angle 70º and the ramin angles are 90º and 20º

The second triangle would be with angles of 80º, 90º and 10º.

then we can find the value of x with the following formula:

And solving for x we got:

Problem 2

We know that the measure of an angle, let's say x is 9 degrees more than two times the suplement so we can set up the following formula:

And solving for x we got:

And we got:

Therefore, there are approximately 889 faculty members at the college.

Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.

Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.

Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.

To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.

If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:

Number of faculty members = 16000 / 18

This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.

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Answer:

To calculate the mean we need x and f both

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

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Step-by-step explanation:

Answer:

a to the power 1

............

The alarm at 6:36 AM will sound in metric time, which is equivalent to 2:75, and the value of 100A + 10B + C is 275.

From metric to standard time

1 minute equals 60 seconds in standard time.

1 h = 60 min = 3600 s

1 day = 24 hours = 1440 minutes = 86 400 seconds

A time of 8:9:2 equals 0.892 day.

0.892 day = 0.892 × 86 400 s = 77 069 s

1. From seconds to hours

2. Minutes to seconds

So, 0.892 day = 21 hours + 24 minutes + 29 seconds

In international notation, the time is 21:24:29 (about 9:24 p.m.).

B. From normal time to metric

1 hour equals 0.1 day in metric time.

1 minute = 0.1 hour = 0.01 day

1 second = 0.1 minute = 0.01 hour = 0.001 day

Hours, minutes, and seconds are thus tenths, hundredths, and thousandths of a day.

1. Convert the time from minutes to seconds.

6:36:00 = (6 × 3600 +36 × 60 ) s =  23760 s

2. Calculate the fraction of a day

23760 ÷ 86400 = 0.275

Hence the metric time is 2:75 .

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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