Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?

Answer:

0.5

Step-by-step explanation:

Wanted outcome / possible outcomes = 0.5 in this case.

Answer:

28

Step-by-step explanation:

As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);

62 + (m<1) = 90

Inverse operations

62 + (m<1) = 90

m<1 = 28

[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔

Step-by-step explanation:

[tex]f(x )= - {x}^{2} + 1[/tex]

Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have

[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]

[tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]

[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]

_________

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right triangle

Hope this helps! :)

Hope it helps you!

-miraculousfanx-

Answer:

p2 = (-9 , -3)

Step-by-step explanation:

let p2 be (a , b)

given :

p1(-1 , 7) = (x1 , y1)

p2(a , b) = (x2 , y2)

using midpoint formula:

midpoint = (x1 + x2/2 , y1 + y2/2)

(-5 , 2) = (-1 + a/2 , 7 + b/2)

Now , compare corresponding elements

-5 = -1 + a/2

-5*2 = -1 + a

-10 = -1 + a

-10 + 1 = a

-9 = a

2 = 7 + b/2

2*2 = 7 + b

4 = 7 + b

4 - 7 = b

-3 = b

therefore p2 = (-9 , -3)

Answer: 0.973

Step-by-step explanation:

The probability mass function of geometric distribution is

[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.

As per given, we have

p=0.7

The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]

hence, the required probability = 0.973

The probability that we'll have at most 3 orders will be "0.973".

According to the question,

→ [tex]x \sim Geometric (p)[/tex]

here,

p = 0.7

then,

→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]

By putting the given values, we get

                   [tex]= (1-0.7)^{x-1}\times 0.7[/tex]

hence,

The probability that we'll have at most 3 orders will be:

→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]

                   [tex]=0.7+0.21+0.063[/tex]

                   [tex]=0.973[/tex]

Thus the above response is correct.

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Have a nice day!!!

Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

Answer:

B

Step-by-step explanation:

Slope Formula

6 - (-2) / 3 - 1

8 / 2 = 4

The slope of the graph is 4.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The coordinates from the graph are:

(1, -2), and (3, 6)

Now,

Slope.

= (6 -(-2)) / (3 - 1)

= (6 + 2) / 2

= 8/2

= 4

Thus,

The slope of the graph is 4.

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Answer:

42g

Step-by-step explanation:

70% of 60 = 42

The population of interest: Male RCCC students.

Sample size: 31.

The sample mean: 69.68 inches.

Median: 69 inches.

Mode: 70 inches.

Range: 11 inches.

Standard deviation: 3.32 (rounded to 2 decimal places).

Variance: 11.02 (rounded to 2 decimal places).

We have,

Mean:

To find the mean, we sum up all the heights and divide by the total number of data points (31 in this case):

Mean = (70 + 70 + 70 + ... + 75) / 31

Mean ≈ 69.68 inches

Median:

The median represents the middle value in the dataset when arranged in ascending order. Since the dataset has an odd number of values (31), the median will be the value in the middle position when ordered:

Median = 69 inches

Mode:

The mode represents the value(s) that occur most frequently in the dataset. In this case, the mode is the height that appears most often:

Mode = 70 inches

Range:

The range is calculated by subtracting the minimum value from the maximum value in the dataset:

Range = Maximum height - Minimum height

Range = 75 - 64 = 11 inches

Standard Deviation (σ):

To find the standard deviation, we can use the formula that involves finding the difference between each value and the mean, squaring those differences, averaging them, and taking the square root:

Standard Deviation (σ) ≈ 3.32 (rounded to 2 decimal places)

Variance (σ²):

The variance is the square of the standard deviation.

We can square the value of the standard deviation to find the variance:

Variance (σ²) ≈ 11.02 (rounded to 2 decimal places)

The height dataset (in inches) for the 31 male RCCC students is as follows:

1 70

2 70

3 70

4 70

5 71

6 64

7 64

8 65

9 65

10 66

11 66

12 67

13 67

14 68

15 68

16 68

17 69

18 72

19 72

20 72

21 72

22 73

23 73

24 73

25 73

26 73

27 73

28 74

29 75

30 75

31 75

32 75

Thus,

The population of interest: Male RCCC students.

Sample size: 31.

The sample mean: 69.68 inches.

Median: 69 inches.

Mode: 70 inches.

Range: 11 inches.

Standard deviation: 3.32 (rounded to 2 decimal places).

Variance: 11.02 (rounded to 2 decimal places).

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Answer:

44.94

Step-by-step explanation:

Answer:

C) 5.66

Step-by-step explanation:

For a 45-45-90 triangle, the length of each leg length (not including the hypotenuse) is congruent to each other. If 8=y√2, then y=8/√2=4√2=5.66

Answer:

5.66

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45 =adjacent /hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] =y/8

[tex]\frac{1}{\sqrt{2} } *8=y[/tex]

[tex]\frac{8}{\sqrt{2} }=y[/tex]

[tex]4\sqrt{2} =y[/tex]

5.66=y

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

Answer:

To understand a graph you need to interpret a graph or a chart, read the title, look at the key, read the numbers and lables. then study the graph to understand what it shows. read the title graph or chart. the title tells what information is being displayed.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3/7*14=6

5/8*8=5

6+5=11

Answer:

24 per day

Step-by-step explanation:

'x' = days, so since 24 is with x, the rate of change is 24

Answer:

No entiendo

Step-by-step explanation:

Answer:

The second graph

Step-by-step explanation:

This is because as you can see the equatin they're using is point slope form (y-y1=m(x-x1)) and the m stands for slope. the slope in the equation you gave us is 2 or a rise of 2 and a run of 1 (2/1) and the frist graph has a slope of 3/1

Answer:

3/10.

Step-by-step explanation:

The 3 men will be on the numerator, to signify they're the group we're focusing on.

Then you add all of the people together (7 + 3 = 10) and put that on the denominator.

therefore, you get 3/10.

The probability of a man getting the job for the post of HR Manager is 3/10.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

Given, Three men and seven women have been shortlisted for the post of HR Manager.

Therefore, The probability  of a man getting the job is,

= (3/(3 + 7)).

= 3/10.

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Answer:

[tex]V_c=452.16\ mm^3[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]

The volume of a sphere with the same radius is:

[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]

So, the volume of sphere is :

[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]

So, the volume of the cone is [tex]452.16\ mm^3[/tex].

Answer:

Step-by-step explanation:

A customer satisfaction survey refers to a questionnaire that's designed by a company in order for businesses to know what customers think about their products.

Since the manager of a local car dealership wants to conduct a customer satisfaction survey, then the group of people should make up a sample of the population will be the people who bought cars from the dealership

Answer:

c

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

i dont understanding that

Answer:

the value of a rare coin in the beginning of the first year,

t = 0, so f(0) = 4• 2^0 = 4•1 = 4 (y-intercept)

Answer:

the y-intercept is at t=0, so in the model no time has past yet. it's the initial value of the coin

Answer:

both apply

Step-by-step explanation:

i guessed just do it

Step-by-step explanation:

You should be breaking this up

One

Decimal between 0.2222 and 0.2223 would be something like 0.22225

Two

1 mile = 5280 feet

1 mile = 5280 feet * 12 = 63360 inches

4 miles = 253440 inches

answered on my cell phone. I can't really do this.

Step-by-step explanation:

The relative frequency for a 15% discount is 52.1%.

The relative frequency is the quotient of a particular frequency divided by the total number of frequencies.

Given:

A store is giving out cards labeled 1 through 10 when customers enter the store.

If the card is an even number, you get a 15% discount on your purchase that day.

The subgroup for even numbers = 2, 4, 6, 8, 10

The subgroup frequency = 56 + 50 + 54 + 49 + 54 = 263

The total frequency = 500

The relative frequency = 263/500 = 0.521 = 52.1%

Therefore, 52.1% is the relative frequency.

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Answer:

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

Step-by-step explanation:

We are given that

Population was Caucasian=64%

Population was African-American=11%

Population was Hispanic=10%

Let the population of U.S=10000

Now,

Population was Caucasian=[tex]\frac{64}{100}\times10000=6400[/tex]

Population was African-American=[tex]\frac{11}{100}\times 10000=1100[/tex]

Population was Hispanic=[tex]\frac{10}{100}\times 10000=1000[/tex]

Population of others=10000-(6400+1100+1000)=1500

Population of Caucasians used the Internet for e-mail=86% of 6400

Population of Caucasians used the Internet for e-mail=[tex]\frac{86}{100}\times 6400[/tex]

Population of Caucasians used the Internet for e-mail=5504

Population of African-American used the Internet for e-mail=77% of 1100

Population of African-American used the Internet for e-mail=[tex]\frac{77}{100}\times 1100=847[/tex]

Population of Hispanics used the Internet for e-mail=77% of 1000

Population of Hispanics used the Internet for e-mail=[tex]\frac{77}{100}\times 1000=770[/tex]

Population of others used the Internet for e-mail=84% of 1500

Population of others used the Internet for e-mail=[tex]\frac{84}{100}\times 1500=1260[/tex]

Total population used the Internet for e-mail=5504+847+770+1260

Total population used the Internet for e-mail=8381

Percentage of U.S resident who used the Internet for e-mail were Hispanic

=[tex]\frac{Population \;of \;Hispanics \;used \;the \;Internet \;for \;e-mail}{total\;population\; used \;the \;Internet \;for\; e-mail}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=[tex]\frac{770}{8381}\times 100[/tex]

Percentage of U.S resident who used the Internet for e-mail were Hispanic=9.19%

Answer:

D. x = 5; x = -5

Step-by-step explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 - 25+25 = 0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

x = 6.9

Step-by-step explanation:

[tex]\frac{sin(90)}{12} = \frac{sin(35)}{x} \\\\x = 6.9[/tex]solve for x