Choose Yes or No to tell if the fraction
4
9
will make each equation true.


63
×
□
=
28

Choose...


25
×
□
=
14

Choose...

The given stem and leaf plot shows the typing speeds of two groups of students.

Group 1 has n1= 20 students

Group 2 has n2= 19 students

The stem and leaf plot is two sided, meaning that they share the same stem.

The observed values are the number of words per minute.

In the steam the ten of each value is placed and in the leafs you find the units:

This way you can determine the observations for both samples. I'll do so and arrange them form least to greatest:

Group 1:

33, 34, 37, 42, 44, 44, 45, 47, 48, 49, 49, 50, 51, 52, 52, 55, 55, 63, 66, 67

Group 2:

33, 36, 41, 42, 44, 46, 46, 51, 52, 52, 52, 53, 53, 56, 59, 60, 66, 67, 69

Part a

The range is calculated as the difference between the maximum and minimum observations of a sample. To determine those values you need the sample ordered from least to greatest.

For group 1:

Minimum value: 33 words/min

Maximum value: 67 words/min

Range= maximum-minimum=67-33=34words/min

For group 2:

Minimum value: 33words/min

Maximum value: 69 words/min

Range: 69-33=36words/min

→ the range for group 1 is 34words/min while the range for group 2 is 36words/min

Part b

To determine which group had more typing speeds in the fourties you have to count said observations for both of them.

You can do it directly from the stem and leaf plot, go to the row correpsonding to the 4 in the plot and count or use the values:

For group 1: in the second row there are 8 leafs, corresponding to the observations: 42, 44, 44, 45, 47, 48, 49, 49,

For group 2: in the second row there are 5 leafs, corresponding to the observations: 41, 42, 44, 46, 46

→There are more typing speeds in the 40s in group 1.

Part c:

The median is a measure of center that divides the sample in two halves. To calculate it you have to determine its position and then look for the corresponding value in the sample that was previously ordered from least to greatest.

To determine the position of the mean you have to use the following fomula:

For even samples: n/2

For odd samples: (n+1)/2

Median of group 1

n1=20 students

The sample is even, calculate its position using the first formula:

Position: n/2 = 20/2= 10

The median is in the tenth position, look in the sample for the tenth observation:

33, 34, 37, 42, 44, 44, 45, 47, 48, 49, 49, 50, 51, 52, 52, 55, 55, 63, 66, 67

→The median typing speed for group 1 is 49 words/min

Median of group 2

n2=19 students

The sample is odd, you have to use the second formula to find its position:

Position: (n+1)/2= (19+1)/2= 20/2= 10

The median of this group is the 10th observation:

33, 36, 41, 42, 44, 46, 46, 51, 52, 52, 52, 53, 53, 56, 59, 60, 66, 67, 69

→The median typing speed for group 2 is 52 words/min

→Group 2 has the greater median typing speed.

Given:

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

To find:

The remaining element after 15 days.

Solution:

The exponential decay model is

\(y=a(1-r)^t\)

Where, a is the initial value r is the rate of interest and t is time period.

Putting \(a=800,r=0.082,t=15\) in the above formula, we get

\(y=800(1-0.082)^{15}\)

\(y=800(0.918)^{15}\)

\(y=221.68188\)

\(y\approx 221.7\)

Therefore, the mass of the remaining element is 221.7 grams.

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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Answer:

A) Protractor

Step-by-step explanation:

In Mathematics, geometric constructions refers to the drawing of geometric shapes, lines and angles with the exclusive aid of a pencil, straightedge/ruler and a pair of compass.

The pencil is the major drawing tool during the construction while the pair of compass and straightedge are used to construct arcs/circles and straight lines respectively. Note that, a PROTRACTOR is not needed in a geometric construction because length or angle measurements are prohibited.

In true geometric construction, we can not use Protractor.So that, protractor is not tool for geometric construction.

Option a is correct.

The two tools that we need to make geometric constructions are these two: compass, straightedge.

By using  compass , to make various arcs from different points, these arcs will intersect at important points that we can then use the straightedge to connect with other points.

Measurements using a protractor or a ruler is never considered to be part of a geometric construction.

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Answer:

Where is the table?

Step-by-step explanation:

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Answer:

1 or 6

Step-by-step explanation:

x² - 7x + 6

-6 and -1

x² -6x - 1x + 6

x( x - 6) + -1(x - 6)

(x - 1) (x - 6)

x = 1 or x = 6

Answer:

\( {x}^{2} - 7x + 6 \\ {x}^{2} - 6x - x + 6 \\ ( {x}^{2} - 6x) - (x - 6) \\x(x - 6) -1 (x - 6) \\ (x - 6)(x - 1)\)

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

Answer:

19°

Step-by-step explanation:

I have attached an image showing this elevation.

From the image, let's first find the angle A by using cosine rule.

Thus;

8.1² = 5.5² + 13.1² - 2(5.5 × 13.1)cos A

65.61 = 30.25 + 171.61 - 144.1cos A

144.1cos A = 171.61 + 30.25 - 65.61

144.1cosA = 136.25

cosA = 136.25/144.1

cosA = 0.9455

A = cos^(-1) 0.9455

A = 19°

Answer:

Qualitative variable.

See explanation below.

Step-by-step explanation:

In research we have two types of variables: the quantitative and the qualitative variables.

In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.

Answer: 45 words per minute.

Step-by-step explanation: I'm not exactly sure what you're asking, but Connie types 45 words per minute (675/15 = 45).

The area of the shape with the given features is 34.625 square cm

From the question, we have the following parameters that can be used in our computation:

Composite figures

The area of the shape is the sum of the areas of individual shapes

So, we have

Area = triangle + quarter circle

This gives

Area = 1/2 * 6 * 5 + 1/4 * 3.14 * 5^2

Evaluate

Area = 34.625

Hence, the area is 34.625 square cm

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You would have 19 degrees of freedom in an independent-groups design and 20 degrees of freedom in a correlated-groups design..

In an independent-groups design, you would have 19 degrees of freedom. This is because the degrees of freedom for an independent-group design is equal to the number of participants minus one. Therefore, in this example, 20 participants minus one equals 19 degrees of freedom.

In a correlated-groups design, you would have 18 degrees of freedom. This is because the degrees of freedom for a correlated-groups design is equal to the number of participants minus two. Therefore, in this example, 20 participants minus two equals 18 degrees of freedom.

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The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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Answer:

The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.

Step-by-step explanation:

The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.

Answer: The answer is D, II and III only.

The statements that are correct include:

Alzheimer's disease is a form of dementia which lead to memory loss and can lead to a mental disorder.

Based on the information given, this is an observational study as a certain population was looked at. It also shows that taking the B12 vitamin daily contributes to protecting against Alzheimer's disease.

Therefore, the correct option is D.

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The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

1.48 miles

Step-by-step explanation:

If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.

14.8 * 1/10 = 1.48 miles.

Answer:

1.48

Step-by-step explanation:

I know the answer is correct

Answer: it is -1, because y has no more complete prime factors

Step-by-step explanation:

Answer:

abc are correct

Step-by-step explanation:

i took the test

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:

I thino the awnser is 103.5

Step-by-step explanation:

Answer:

16,12,10,8

Step-by-step explanation:

a+(n-1)d

20-22=18-2=-2

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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itd be 5.4 kg

2.5 + 3.2 + 6.3 × .45 = 5.4

Answer:

The base of the number is 8

Answer:

C

24, 5, 48, 4 because blue is 6 times green

Step-by-step explanation:

Hope this helps