The local historical Society wants to preserve two buildings. The total age of the buildings is 292 years. If one building is three times as old as the other, what are the ages of the two buildings?
The newer building is years old, and the older building is years old.

Answer:

Step-by-step explanation:

here are some of the graph points:

(-2,-2)

(-1,-3)

(0,-4)

(1,-5)

(2,-6)

(3,-7)

(4,-8)

The graph should have a negative slope and the slope should be -1, and the y-intercept should be -4.  The pic you put is not the correct graph.

Answer:

22 1/8 mm.

Step-by-step explanation:

First add the whole numbers, then the fractions:

3 + 5 + 5 + 7 = 20

7/8 + 7/8 + 3/16 + 3/16    Change the 7/8's to 14/16:

= 14/16 + 14/16 + 3/16 + 3/16

=  28/16 + 6 /16

= 34 /16

= 2 2/16

= 2  1/8

So the final answer is 20 + 2 1/8

= 22 1/8 mm.

Step-by-step explanation:

the perimeter of this

3 7/8 + 5 3/16 + 5 3/16 + 7 7/8

= 31/8 + 83/16 + 83/16 + 63/8

= 62 + 83 + 83 + 126/ 16

= 354/16 ans

Answer:

5

Step-by-step explanation:

Area equals bh

So 65 divided by 13

Answer:

h = 5 ft

Step-by-step explanation:

The area of a parallelogram is

A = bh

65 = 13h

Divide each side by 13

65/13 = 13h/13

5 = h

Answer:

10 (8-x)(8+x)

Step-by-step explanation:

640-10x^2

Factor out 10

10 (64 - x^2)

Notice that inside the parentheses is the difference of squares

10 ( 8^2 - x^2)   and a^2 - b^2 = (a-b) (a+b)

10 (8-x)(8+x)

Answer:

10(8 - x)(8 + x)

Step-by-step explanation:

Given

640 - 10x^2

Solution

Take out 10 on each side of the minus sign

10(64 - x^2)

The expression in the brackets is a difference of squares which factors as

a^2 - b^2 = (a + b)(a - b)

Factor the expression inside the brackets as a difference of squares.

64 = 8*8

x^2 = x*x

10(8 - x)(8 + x)

Answer:

[tex]\boxed{\sf \ \ \ diagonal \ length \ = \ 41 \ \ \ }[/tex]

Step-by-step explanation:

Thanks to Pythagoras we can say that

l being the length of the diagonal

[tex]l =\sqrt{9^2+40^2}=\sqrt{81+1600}=\sqrt{1681}=41[/tex]

Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh          Use this equation to find the area of each triangular base

A = 1/2(8)(6)         Multiply

A = 1/2(48)           Multiply

A = 12cm²           Area of each triangular base

2) A = L x W        Use this equation to find the area of the bottom rectangular face

A = 20 x 8          Multiply

A = 160 cm²       Area of the bottom rectangular face

3) A = L x W        Use this equation to find the area of the back rectangular face

A = 20 x 6          Multiply

A = 120 cm²       Area of the back rectangular face

4) A = L x W        Use this equation to find the area of the sloped rectangular face

A = 20 x 10         Multiply

A = 200 cm²      Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200       Add

A = 504 cm²       Total area of the triangular prism

Corrected Question

Find a number in between 35.76 and 35.8 and make the inequality 35.76<________<35.8 a true statement?

Answer:

One example is 35.77

Step-by-step explanation:

Given the numbers 35.76 and 35.8

To make the inequality [tex]35.76< x <35.8[/tex] a true statement, we look for a value of x such that:

[tex]x>35.76; and\\x<35.8\\$Let x=35.77\\Cearly:$\\35.77 > 35.76;$ and$\\35.77<35.8[/tex]

Therefore:

[tex]35.76< 35.77 <35.8[/tex] is a true statement.

Answer:

1/2 or 0.5

Step-by-step explanation:

4x+8=10tothefirstpower x=1/2 or 0.5

Answer:

228incubed

Step-by-step explanation:

Area of prism is area of cross section x length.

So, área of trapezium is a plus b times h divided by 2.

Times that by height. Gives you 228

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

[tex]h(t) = -0.08t^{2} + 1.6t + 2[/tex]

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

[tex]h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2[/tex]

The initial height of the balloon is 2 feet.

Answer:

Z = 1.96.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

The value of z that should be used is Z = 1.96.

Answer: choice D

Step-by-step explanation:

The question asks for the probability that the chose card is a king or a queen.

and we have 8 cards that are a either a king or a queen

so

8/52=2/13

or you can think of it in the additive way(most of the time addition is required when you have “or” and multiplication when you have “and”)

4/52+4/52=2/13

Answer:

see explanation

Step-by-step explanation:

Given

A = bh ( isolate h by dividing both sides by b )

[tex]\frac{A}{b}[/tex] = h

-----------------------------

Given

V = 3k + 2 ( subtract 2 from both sides )

V - 2 = 3k ( divide both sides by 3 )

[tex]\frac{V-2}{3}[/tex] = k

Answer:

  q = -5

Step-by-step explanation:

For A the midpoint between B and C, we have ...

  A = (B+C)/2

  C = 2A -B

Point A(-1, 1) is the midpoint* between C(q, 4) and B(3, -2), so the point (q, 4) will be ...

  (q, 4) = 2A -B

  (q, 4) = 2(-1, 1) -(3, -2) = (2(-1)-3), 1(1)+2)

  (q, 4) = (-5, 4)

  q = -5

_____

* We know A is the midpoint because we observe the differences in y-values for C-A and A-B are ... 4 -1 = 3, and 1 -(-2) = 3. That is, points C and B are the same distance from A.

Answer:

Option 3 is correct.

The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.

Step-by-step explanation:

Before anything else, we first give the null and alternative hypothesis for this question.

Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.

H0: µ1 = µ2

And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.

Ha: μ1 > μ2

The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.

The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.

When the significance level for a test isn't provided, the convention is usually to use 5% significance.

Interpretation of p-value

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.4351

0.4351 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.

Hope this Helps!!!

Answer:

B 63 degrees

Step-by-step explanation:

180 - 54 = 126

126 / 2 = 63

Answer:

50men working in 5days will lay 100 meters

Step-by-step explanation:

If 20men working for 10days lays 500meters

then, 1 man will lay 10,000 meters in 10 days

also, 1 man will lay 1000 meters in 1 day

If 1 man lays 1000 meters in 1 day,

Then, 50 men will lay (1000 meters / 50 );  20 meters in 1 day

also, the same 50 men will lay (20 meters x 5days); 100 meters in 5 days.

Therefore, 50men working in 5days will lay 100 meters

Answer:

The 90​% confidence interval for the population​ mean is between 27.34 months and 39.84 months.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645*\frac{19}{\sqrt{25}} = 6.25[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 33.59 - 6.25 = 27.34 months

The upper end of the interval is the sample mean added to M. So it is 33.59 + 6.25 = 39.84 months

The 90​% confidence interval for the population​ mean is between 27.34 months and 39.84 months.

Answer:

IQR = 274

Step-by-step explanation:

Given the unit sales for the months as:

148, 329, 491, 167, 228, 285, 441

Let's rearrange in ascending the values in ascending order (from lowest to highest), we have:

148, 167, 228, 285, 329, 441, 491

Here the total number of data, n is 7

Let's find the quartile locations using the formula:

[tex] Lq = (n + 1) * (\frac{q}{4}) [/tex]

where q is quartile index.

For first quartile, Q1:

[tex] Lq = (7 + 1) * (\frac{1}{4}) [/tex]

[tex] Lq = 8 * (\frac{1}{4}) = 2 [/tex]

Thus, the 2nd observation in the data is 167.

Q1 = 167

For third quartile, Q3:

[tex] Lq = (7 + 1) * (\frac{3}{4}) [/tex]

[tex] Lq = 8 * (\frac{3}{4}) = 6 [/tex]

Thus, the 6th observation in the data is 441.

Q3 = 441

The interquartile range, IQR will be:

Q3 - Q1

= 441 - 167

= 274

IQR = 274

Answer:

  44

Step-by-step explanation:

Put 8 where x is and do the arithmetic.

  f(8) = 6·8 -4 = 48 -4

  f(8) = 44

Answer:

y=3(x+2)^2-5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

eifufjdbeiixjfbdbsisifbfbfbidid

Answer:

√2

Step-by-step explanation:

(-5, 0) and (-4, 1)

[tex]d=\sqrt{(x_{2}-x_{1} )^{2}+ {(y_{2}-y_{1} )^{2}}}[/tex]

[tex]d= \sqrt{(-4-(-5))^{2} + (1-0)^{2}} =\sqrt{1+1} =\sqrt{2}[/tex]

Answer:

the first and the second answer

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

This is correct believe me it is.

Answer:

25% of students attend classes in the evening.

Step-by-step explanation:

The proportion of evening students is the number of evening students divided by the total number of students.

The percentage is the proportion multiplied by 100.

We have that:

In total, there are 15000 students.

3750 are evening students

3750/15000 = 0.25

0.25*100 = 25%

25% of students attend classes in the evening.

Answer:

31200 dollars

Step-by-step explanation:

you multiply 13 by 4, because its last week and this week, then find 60 percent of that. Proportion: x/52000=60/100. When solved, it is $31200

The solution is, $31200 should she plan to spend on advertising next week.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

Last week Malia spent $13,000 on advertising.

This week, she plans to spend three times as much.

Next week, she wants to spend 60% of what she spent the previous two weeks.

now, we have,

you multiply 13000 by 4,

i.e.  13000 *4 = 52000

because its last week and this week,

then find 60 percent of that.

let, she plan to spend on advertising next week is x .

Proportion:

x/52000=60/100.

When solved, it is $31200.

Hence, The solution is, $31200 should she plan to spend on advertising next week.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ6

Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

The probability that the show aired more than 10 times is

P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of  addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

P(A⋃B) = P(A) + P(B) - P(A⋂B) = 0.7 + 0.4 - 0.2 = 0.9

=> Option B is correct

Hope this helps!

Answer:

  x = 30°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

  60° +2x +60° = 180°

  2x = 60° . . . . . . . . .subtract 120° from both sides

  x = 30° . . . . . . . . . . divide by 2

_____

Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.

Answer:

b. 16%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 500

Standard deviation = 100

Percentage of students who scored less than 400:

400 = 500 - 1*100

So 400 is one standard deviation below the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Of those who are below, 68% are within 1 standard deviation of the mean, that is, between 400 and 500. So 100-68 = 32% are below 400.

0.5*0.32 = 0.16 = 16%

So the correct answer is:

b. 16%

Answer:

  see below

Step-by-step explanation:

You can determine the correct function by looking at the function and graph values at x = 1.

For some constant k, the function is ...

  (g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x

For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...

  (g·h)(1) = 6

  -k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1

  k = -2 . . . . . . . . . divide by -3

The function h(x) is ...

  h(x) = -2x