Length of a high way can be measured in which unit

Answer:

39

Step-by-step explanation:

24+15= 39. 39 students are taking both math and biology.

Answer:

Option D. 4√2

Step-by-step explanation:

8/√2

The above expression can be simplified as follow:

8/√2

Rationalise the denominator i.e multiply the numerator and the demoninator by √2. This is illustrated below:

8/√2 × (√2/√2)

8 × √2 / √2 × √2

8√2 / 2

4√2

Thus, option D gives the correct answer to the question.

Answer:

i think 38

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

(4.1000)+ (2.100) + (7.10)

Answer:

115/13

Step-by-step explanation:

convert mixed number into improper fraction

8×13+11

multiply

104+11/13

add

104+11=115

115/13

Answer:

729 cm^3

Step-by-step explanation:

Delta math

Answer:

acute (<90°): 2° 35° 47° 78° 89.5°

obtuse (>90°): 91° 180° 290° 110° 359°

Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = [tex]\frac{x}{8}[/tex] ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = [tex]\frac{x}{8}[/tex] × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

Answer:

267 observations are needed.

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].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

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

Let us assume that the population standard deviation is $12.5.

This means that [tex]\sigma = 12.5[/tex]

Willing to accept only a $1.5 margin of errors in our estimations. How many observations do we need in order to estimate the population mean for the above cost?

This is n for which M = 1.5. So

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

[tex]1.5 = 1.96\frac{12.5}{\sqrt{n}}[/tex]

[tex]1.5\sqrt{n} = 1.96*12.5[/tex]

[tex]\sqrt{n} = \frac{1.96*12.5}{1.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*12.5}{1.5})^2[/tex]

[tex]n = 266.8[/tex]

Rounding up:

267 observations are needed.

Answer:

77/24

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {(x + 2)}^{2} = x(x + 5) \\ \\ {x}^{2} + 4x + 4 = {x}^{2} + 5x \\ \\ 4x + 4 = 5x \\ \\ 4 = 5x - 4x \\ \\ 4 = x \\ \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

When a secant and a tangent are drawn to a circle from a point outside the circle, the lengths are related this way:

The square of the length of the tangent equals the product of the length of the secant and the length of the segment of the secant outside the circle.

(x + 2)² = x(x + 5)

x² + 4x + 4 = x² + 5x

x = 4

Answer:

[tex]median=6 ~eggs[/tex]

Step-by-step explanation:

[tex]The~median ~is ~the ~middle ~line ~in ~the ~box ~plot[/tex].

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

hope it helps...

have a great day!!

Answer:

Q1 : 2. Q3: 8. Median:6

Step-by-step explanation:

2-8=6 hope that helps

I think it is -4 and positive 2

Answer:

1. Elanor's standardized score is 1.08.

2. Gerald's standardized score is 3.24.

3.  A. Gerald.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

1. What is Elanor's standardized score?

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 561 and standard deviation 110. This means that we have [tex]X = 680, \mu = 561, \sigma = 110[/tex].

The standardized score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{680 - 561}{110}[/tex]

[tex]Z = 1.08[/tex]

Elanor's standardized score is 1.08.

2. What is Gerald's standardized score?

Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20.2 and standard deviation 2.1. This means that we have [tex]X = 27, \mu = 20.2, \sigma = 2.1[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{27 - 20.2}{2.1}[/tex]

[tex]Z = 3.24[/tex]

Gerald's standardized score is 3.24.

3. Assuming that both tests measure the same kind of ability, who has the higher score?

Due to the higher standardized score, Gerald

Answer:

6 hours

Step-by-step explanation:

The trick to this type of problem is using an equal amount of time.

The least common multiple of 7 and 42 is 42

At 7 hours per wall

In 42 hours the bricklayer could build

42/7 = 6 walls

At 42 hours per wall

In 42 hours the apprentice could build

42/1 = 1 walls

Working together in 42 hours they could build 6 + 1 = 7 walls

42hours/7walls = 6hours/ wall

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

Math only

x = 1 wall/7hours + 1wall/42 hours

use common denominator of 42

x = 6w/42 hr + 1w/42hr

x = 7w/42 hr

reduce

x = 1w / 6hr

Answer:

7y² - y + 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4y - y(3 - 7y) + 5 + 2(8 - y)

Step 2: Simplify

Answer:

X = 102

Step-by-step explanation:

41 + 37 + x = 180

78 + x = 180

X = 180 - 78 = 102

Answer:

Could u include a picture of the figures as well?

Step-by-step explanation:

Answer:

B. x< -3

hope it helps.

Explanation:

The blue shaded region describes any x value that is smaller than -3, or that is equal to -3. We can phrase it as "x is less than or equal to -3". Therefore, that's why we go for [tex]x \le -3[/tex]

If you graphed [tex]x < -3[/tex], without the "or equal to" portion, then you would have an open circle at the endpoint. The open circle means we don't include that value as part of the solution set.

Answer:

Area of a parallelogram = bh

= (14 × 10)cm^2 = 140cm^2 (ans)

Hope it helps

Solution :

Let X denotes the number of the households tha have a cable TV.

Percentage of household that have a cable TV = 85 %

[tex]$X \sim \text{Binomial}(6, 0.85)$[/tex]

Here, we can see that each of the observations is independent and the number of the observations is fixed, n.

The probability of the success P is the same for each of the outcomes.

Therefore,

[tex]P(X=4)= \binom{6}{4}0.85^40.15^2[/tex]

               = 0.08324

Answer:

the answer is 1,2 and 4 hope it helps

Answer:

none

Step-by-step explanation:

because the zeros usually intercept with the x-axis and the parabola is nowhere near that! hope it helps!

Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

Step-by-step explanation:

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.

There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.