What’s a ,40,70,70 degree triangle look like?

Answer:

x = 57

Step-by-step explanation:

1. Look at the expression (x + 22). It's measurement the upper side of the lines. We know that if we add up all sides, we will get a full circle, or a value of 360. We know that if I extend the blue line to the left on the upper parallel line, it would equal 180 degrees.

We can express this as x + 22 = 180. Now lets look at the bottom equation, notice that the 2x - 13 is the missing side of x + 22. So we know:

x + 22 + 2x - 13 = 180

3x + 22 - 13 = 180

3x + 9 = 180

3x = 171

x = 57

2. We can check this by plugging it into our formula. x + 22 and 2x - 13. so 57 + 22 = 79 and 2(57) - 13 = 101. Add them together: 79 + 101 = 180.

3. We know this is true because both angles combined will be to form 180 degrees. For a better understanding, view the image I sent you. 1 = 3, and 4 = 2. Opposite angles are equal. In your equation, we have 3 and 8. we KNOW that 8 = 2. And we also know that adding up 2 + 3 MUST equal 180 degrees.

I hope this helps!

Answer:

number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

Step-by-step explanation:

Let the quantity of $8 ticket be represented as  x

Let the quantity of $10 ticket be represented as  y

Let the quantity of $12 ticket be represented as  z

Such that total tikets sold = 400 can be represented as x+y+z= 400

Prices of$8, $10 and $12 gave a total income of $3,700  such that it can be represented as

8x +10y + 12z =$3,700

Also given that combined number of $8 and $10 priced tickets sold was 7 times the number of $12 tickets sold, we have that

x+y = 7z

Giving us the equations to solve to  be

x+y+z= 400------ equation 1

8x +10y + 12z =$3,700---- equation 2

x+y = 7z------equation 3

Step 2- solving

Putting equation 3 i n equation 1, we have that

7z+z = 400

8z= 400

z= 400/8= 50

also puting the value of z= 50 in equation 1

x+y+z= 400

x+y+50= 400

x+y = 350---- equation 4

putting z= 50 into equaton 2 and solving out

8x +10y + 12z =$3,700

8x +10y + 12x 50 =$3,700

8x +10y + 600 =$3,700

8x +10y =3,700 - 600

8x +10y=3,100---------equation 5

Multiplying equation 4 by 8  and subtracting from equation 5

8x +10y=3,100

-8x+8y= 2,800

2y=300

y= 300/2

y=150

to find x, when y= 150 using equation 4

x+y = 350

x= 350-150

x= 200

Therefore number of $8 sold= 200

Number of $10 tickets sold= $150

Number of $12 tickets sold = $50

Answer:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

Step-by-step explanation:

As, this question is incomplete and without data we can not answer this question. But we can make it complete by adding our own values. Let's do it and calculate.

Let's suppose, there are 10 students in the class of Mrs. Brim and she took 5 tests on subsequent days and made chart to know the average time her students took to solve the test.

Total time of test = 30 minutes

Average time taken by the students to solve the test on Day 1 = 25 minutes.

Average time taken by the students to solve the test on Day 2 = 27 minutes.

Average time taken by the students to solve the test on Day 3 = 22 minutes.

Average time taken by the students to solve the test on Day 4  = 23 minutes.

Average time taken by the students to solve the test on Day 5 = 20 minutes.

Average Time in all Tests = Sum of all times / total number of days

Average Time = (25 + 27 + 22 + 23 + 20) / 5 days

Average Time = 117/5

Average Time = 23.4 minutes is the time that Mrs Brim wanted to see.

If 15% of 500 is equal to 7.5% of the number, the number is equals to 1000.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.

Therefore, let's find the number if 15% of 500 is equal to 7.5% of the number.

Let

x = the number

Hence,

15% of 500 = 7.5% of x

15 / 100 × 500 = 7.5 / 100 × x

75 = 7.5x / 100

cross multiply

7500 = 7.5x

divide both sides by 7.5

x = 7500 / 7.5

x = 1000

Therefore, the number is 100.

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There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.

To find the complete list begin counting...

skip 1, not prime;

2 is prime and 2 squared is 4;

3 is prime and 3 squared is 9;

skip 4 b/c it is not prime;

5 is prime and 5 squared is 25;

6 not prime;

7 prime and 7 squared is 49;

8 not prime;

10 not prime;

11 prime and squared is 121;

12 is not prime;

13 prime, but squared it is greater than 150.

The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;

9 has 1, 3, 9;

25 has 1, 5, 25 ;

49 has 1, 7, 49 ;

121 has 1, 11, 121.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Answer:

yes

Step-by-step explanation:

beacuse you can use in fractions or it is also a postive number to me there is no more or no less.

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

what do you need help with

Step-by-step explanation:

my instagram account bdq.frk follow please

Answer:

C) 13.0 = 13

13.0 is equal to 13.

In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

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Answer:

she is going to make $408.90 in 18.2518.25 hours

the area of Matthew's rectangle is 60 square units.

What is a rectangle?

Rectangles are quadrilaterals in the Euclidean plane of geometry that have four right angles. A closed, four-sided rectangle is a two-dimensional shape, according to a number of definitions, as is an equiangular quadrilateral. All of a rectangle's angles are exactly 90 degrees, and its opposite sides are equal and parallel to one another. Rectangle area is equal to A = a*b.

let's say Melodie's rectangle has a length of 7 grid squares and a width of 4 grid squares. To find the area, you would multiply 7 by 4 to get 28 square grid units. Therefore, the area of Melodie's rectangle is 28 square units.

Similarly, let's say Matthew's rectangle has a length of 10 grid squares and a width of 6 grid squares. To find the area, you would multiply 10 by 6 to get 60 square grid units.

Therefore, the area of Matthew's rectangle is 60 square units.

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Answer:

3

Step-by-step explanation:

i used process of elimination... 1 and 2 looks unreasonable, and 4 doesn't work cus i tried it irl. i might be wrong though, don't rely on me :>

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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Answer:

a. 1/2

b. 1/2

c. 5/6

d. 1/6

Step-by-step explanation:

Here, we are going to base the probability of the next tests on what we have presently

we have 6 scores to work with

a. more than 70%

Scores above 70 are 3

So the probability will be 3/6 = 1/2

b. less than 70%

Scores below 70 are 3

So the probability will be 3/6 = 1/2

c. At least 60%

This means that 60 or more

scores here are 5

So the probability is 5/6

d. 80% marks

we have only 1 80%

so the probability is 1/6

Answer:

C. 1/2

Step-by-step explanation:

3/6 = 1/2

3/3 = 1

6/3 = 2

1/2

To express the expression 2 sin 4x cos 9x as the sum or difference of two functions, we can use the trigonometric identity: sin(A + B) = sin A cos B + cos A sin B

Let's rewrite the given expression using this identity: 2 sin 4x cos 9x = sin (4x + 9x). Now, we can simplify further: 2 sin 4x cos 9x = sin 13x.Therefore, the expression 2 sin 4x cos 9x can be written as the function sin 13x. To solve the equation sin 2x - 2 sin x - 1 = 0 for exact solutions in the interval 0 ≤ x < 2, we can rewrite it as: sin 2x - 2 sin x = 1. Using the double-angle identity for sine, we have: 2 sin x cos x - 2 sin x = 1.

Factoring out sin x, we get: sin x (2 cos x - 2) = 1. Dividing both sides by (2 cos x - 2), we have: sin x = 1 / (2 cos x - 2) . Now, let's find the values of x that satisfy this equation within the given interval. Since sin x cannot be greater than 1, we need to find the values of x where the denominator 2 cos x - 2 is not equal to zero. 2 cos x - 2 = 0. cos x = 1. From this equation, we find x = 0 as a solution. Now, let's consider the interval 0 < x < 2:For x = 0, the equation is not defined. For 0 < x < 2, the denominator 2 cos x - 2 is always positive, so we can safely divide by it. sin x = 1 / (2 cos x - 2). To find the exact solutions, we can substitute the values of sin x and cos x from the trigonometric unit circle: sin x = 1 / (2 cos x - 2)

1/2 = 1 / (2 * (1) - 2)

1/2 = 1 / (2 - 2)

1/2 = 1 / 0. The equation is not satisfied for any value of x within the given interval.Therefore, there are no exact solutions to the equation sin 2x - 2 sin x - 1 = 0 in the interval 0 ≤ x < 2.

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Answer:

The graph is moved to the left three spaces and up four spaces.

Step-by-step explanation:

The reason is if the graph were moved to the right three spaces, then the x+3 should be a x-3. Since it has a +4 on the outside, that means the y values are moving up four.

28000 is the answer.

you count two numbers from front and approximate

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

Of all rectangles with an edge of 10 meters, the one that has the greatest zone(area) could be a square.

To see why, let's assume that a rectangle with a border of 10 meters has measurements of length L and width W.

At that point, we know that:

2L + 2W = 10

Rearranging this condition, we get:

L + W = 5

Presently, we need to discover the most extreme range encased by the rectangle, which is given by:

Area = L x W

Able to illuminate for one variable in terms of the other utilizing the condition L + W = 5:

L = 5 - W

Substituting this expression for L into the condition for the zone, we get:

Zone = (5 - W) x W

Extending and disentangling this expression, we get:

Area = 5W - W²

To discover the most extreme esteem of this quadratic expression, we will take its subsidiary with regard to W and set it to break even with zero:

dArea/dW = 5 - 2W =

Tackling for W, we get:

W = 2.5

Substituting this esteem back into the condition for the edge, we get:

L = 2.5

Hence, the measurements of the rectangle that has the greatest region are L = 2.5 meters and W = 2.5 meters, which implies it could be a square. The most extreme zone enclosed by the rectangle is:

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

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Answer:

What-?

\(\(\purple{\rule{45pt}{1000000pt}}\tex\)

Part A:  yes, p = 7/2 g;

Part B: no, p = g+3.

Fractions play a major role in the explanation of ratio and proportion. At the point when a division is addressed as a: b, in which case it is a ratio, whereas a proportion asserts that two ratios are equal. A and b are any two integers in this case. The ratio and proportion are two crucial concepts that serve as the foundation for comprehending a variety of scientific and mathematical concepts.

Given tables for different beads for picture frame,

Mia's picture frame

Green beads     2   4   6    8   10  

purple beads     7  14  21  28  35

Part A:  since   2/7  = 4/ 14 =  6/21  =  8/28  =  10/35 =  2/7

so the beads are in proportion,

since 2/7  = g/p, where p = purple beads and g = green beads

p = 7/2 g.

Part B Riley's picture frame

Green beads     5   10   15    20   25  

purple beads     8   13    18   23   28

now  5/8  ≠  10/13   ≠  15/18  ≠  20/23  ≠ 25/28

the ratio of green beads are not equal so they are not in proportion,

but they are linear (10 - 5)/(13 - 8)  = (15 - 10)/(18 - 13)  = (20 - 15)/(23 - 18)  =1

let the equation be (g + a= p), where  p = purple beads and g = green beads and a, is constant, as we find that purple beads are 3 more than green the equation is  p =  g + 3

Hence beads in Mia's picture frames are in proportion and not in proportion for Riley's picture frames, and equation for Mia's picture frames is p = 7/2 g, and for Riley's picture frames is   p =  g + 3.

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The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the circumference of the circle is 12.56 units, which means that the radius is half of this, or  1.99 units which is approximately 3.90 units .

Step 1: Determine the circle's radius.

The formula for circumference is C = 2πr, where r is the radius of the circle.

2πr = 12.56

r = 12.56 / (2π)

r = 1.99 units

Step 2: Calculate the area of the circle

The formula for area of a circle is A = πr2

A = π(1.99)2

A = 3.90 units2

The area of a circle can be calculated by using the formula A = π\(r^2,\) where r is the radius of the circle. The radius of a circle is half of its circumference, so if the circumference of a circle is 12.56 units, the radius is 6.28 units. By plugging this value into the formula, the area of the circle can be found. To calculate the area of the circle, we would multiply π (3.141592654) by \(6.28^2\), which would give us 122.58 units. This is the approximate area of the circle with a circumference of 12.56 units. It is important to note that the value of π is an approximate value, and can be rounded up or down depending on the precision desired. Additionally, the value of π can be substituted with other values such as 22/7 or 3.14 to obtain a more accurate result.

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The median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5

There are three measures of central dispersion:

Given:

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

The are 10 values in the data

So, we have two middle values: 1 and 2

Median = (1 + 2) / 2

= 3/2

= 1.5

Therefore, the median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5

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Answer:

= 1.5

Step-by-step explanation:

Answer:

only B

Step-by-step explanation:

to be a function each value of x must have exactly one value of associated y.

in A x = 1 has 2 different y values (1 and 3) associated. no function.

in C the curve shows that many values of x have multiple different y values.

e.g. x = 0 has y = -2, 0 and 2

no function.

in D x = 6 has 2 different y values (5 and 7). no function.

The correct statements for comparing the effectiveness of the SAT preparation program are the 3rd, 4th, 5th, 6th statements.

The statements in order are

Since, school counselor want to compare effectiveness of SAT preparation program with response variable will be the improvement in SAT score.

We can consider this as a improvement assessment, so that the initial abilities of each student will be different. With this we can see the improvement from student with bad initial score, and for the student that has a good score in initial exam they barely to have improvement.

For example student A have initial score 600 and student B have initial score 1300 after preparation program student A have final score 1200 and student B have final score 1350. In the example, we can see 200% improvement from student A and only 4% improvement from student B.

Also, with matching pair design that based on variable, we can see the variability in improvement making it easier to know the effectiveness of SAT preparation program than the randomized design.

Thus, the correct statements is the 3rd, 4th, 5th, 6th statements.

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Based on the information provided, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.

Based on the information given, we can conclude that there is a 95% chance that the true mean for pickup orders falls between $33 and $51, and the true mean for delivery orders falls between $21 and $41. However, we cannot conclude with certainty that the average pickup order has a higher amount than the average delivery order.

To determine if there is a significant difference between the means of the two groups, we need to perform a hypothesis test. We can set up our null hypothesis as "there is no significant difference between the means of the pickup and delivery orders" and our alternative hypothesis as "the average pickup order has a higher amount than the average delivery order."

We can use a two-sample t-test to test this hypothesis. Assuming equal variances, we would calculate the test statistic as

t = (xpickup - xdelivery) / (s / √n)

where xpickup and xdelivery are the sample means for pickup and delivery orders, s is the pooled standard deviation, and n is the sample size for each group.

If our calculated t-value is greater than the critical value at a chosen significance level (e.g. 0.05), we can reject the null hypothesis and conclude that there is a significant difference between the means of the two groups.

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Answer:

n = 8 or n = −6

Explanation:

First, isolate the absolute value:

5 − |n − 1| = −2

7 − |n − 1| = 0

7 = |n − 1|

Then, split this into two equations, since the result of the absolute value could be positive or negative:

7 = n − 1                           7 = −(n − 1)

8 = n                                7 = −n + 1

                                       n = −6

Answer:

\(\{-6\} \cup \{8\}\)

Step-by-step explanation:

\(5 - |n - 1| = -2; \\ -|n - 1| = -2 - 5 \\ -|n - 1| = -7 \\ |n - 1| = 7 \\ \left \ [ {{n - 1 = 7} \atop {n - 1 = -7}} \right. \Leftrightarrow \left \ [ {{n = 7 + 1} \atop {n = -7 + 1}} \right. \Leftrightarrow \left \ [ {{n = 8} \atop {n = -6}} \right.\)