A teacher asked 1818 students how many books they read last summer.
​
​The dot plot displays the data.
​Each dot represents one student.
​
The most frequent response was

Answer:

3 squared 13 took the test

Step-by-step explanation:

Answer:

3 squared 13

reason:

you should know this if you tooktn notes

Answer: (-3,-6)

Step-by-step explanation:

Answer:

Yellow

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Let us assume that [tex] \sqrt 3 - \sqrt 5[/tex] is a rational number.

So, it can be expressed in the form of [tex] \frac{p}{q} [/tex] where p and q are integers.

[tex]\therefore \sqrt 3 - \sqrt 5=\frac{p}{q}[/tex]

[tex]\therefore \sqrt 3 =\frac{p}{q}+ \sqrt 5[/tex]

[tex]\therefore \sqrt 3 =\frac{p+q\sqrt 5}{q}[/tex]

Squaring both sides:

[tex] (\sqrt 3) ^2 =\bigg(\frac{p+q\sqrt 5}{q}\bigg ) ^2 [/tex]

[tex]\therefore 3 =\frac{p^2 +5q^2 +2\sqrt 5 pq}{q^2 } [/tex]

[tex]\therefore 3q^2 ={p^2 +5q^2 +2\sqrt 5 pq}[/tex]

[tex]\therefore 0 = p^2 +5q^2 -3q^2 +2\sqrt 5 pq [/tex]

[tex]\therefore - 2\sqrt 5 pq=p^2 +2q^2 [/tex]

[tex]\therefore \sqrt 5 = \bigg (\frac{p^2 +2q^2}{-2pq} \bigg) [/tex]

[tex]\therefore \sqrt 5 = - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex]

Since, p and q are integers so [tex] - \bigg(\frac{p^2 +2q^2}{2pq} \bigg) [/tex] is rational.

[tex]\therefore \sqrt 5 [/tex] is also rational.

But it contradicts the fact that [tex]\sqrt 5 [/tex] is irrational.

Hence, our assumption that [tex] \sqrt 3 - \sqrt 5[/tex] is rational is wrong.

[tex] \therefore \sqrt 3 - \sqrt 5[/tex] is irrational.

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

Answer:

1437.33 cm^3 , 75.4 km^3

Step-by-step explanation:

1.

V = (lwh)/3

V = (14 x 14 x 22)

V = 1437.33 cm^3

2.

V = [tex]\pi r^{2} \frac{h}{3}[/tex]

V= [tex]\pi 3^{2} \frac{8}{3}[/tex]

V = 75.4 km^3

Answer:

B. Larger groups tended to take less time to solve the puzzle

Step-by-step explanation:

If you look at the graph, you can see that farther to the left the dots are higher, which means that the number of people are taking longer than the people to the right of the graph whose dots are lower, representing that it takes less time for the larger groups to solve the puzzle.

hope this helps youu

Answer:.

Step-by-step explanation:

Answer:

Im guessing this is for a coordinate plane

Tommy was at school which is located at (4,9) how many square units or blocks does he need to walk to get home?(his home is located at 1,18)

Step-by-step explanation:

Hope this help and have a great day! <3

Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

Learn more about hypotheses here:

https://brainly.com/question/28331914

#SPJ2

Answer:

he swims 1/2 miles in 1/4 hours

multiply both them by 4

we get

2 miles in 1 hour

Answer:

3 feet

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H  

it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH  

H tallness and it is the aquarium's profundity  

H=11.25/L xW= 11.25/2.5x1.5= 3 feet

Answer:

The depth is 3 ft

Step-by-step explanation:

The equation for volume is V = length * height * depth

change the equation for depth

depth = volume / (length * height)

fill the equation and solve

depth = 11.35 / (2.8 * 1.5)

depth = 11.35 / 4.2

depth = 2.70238095 rounded to 3

Answer:

4 pizzas

Step-by-step explanation:

Equation:

12x + 7 = 55

12x = 55 - 7

12x = 48

x = 4

Answer:

13.5 inches

Step-by-step explanation:

after 5 hours = 6 inches

11 - 5 = 6 hours to go

1.25 x 6 = 7.5 inches

7.5 + 6 = 13.5 inches

Answer:

p = -4 q = 2

Step-by-step explanation:

hope my explanation is understandable lol

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Answer:

binomial

Step-by-step explanation:

there are two terms, "11x" and "20"

Answer:

9

Step-by-step explanation:

You can say this because 3*3 is 9.

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

Answer:

A parabola opens downward with vertex at (1,20)  

The function that models the height of bag of candies is

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

Add and subtract the square of half the coefficient of t.

Factor the perfect square trinomial:

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.

Answer:

the interest earned amount is $1,114.251

Step-by-step explanation:

The computation of the interest earned is shown below:

But before that the future value is

= Present value × (1 + rate of interest)^number of years

= $7,250 × (1 + 0.10)^1.5

= $7,250 × 1.10^1.5

= $8,634.251

Now the interets earned is

= $8,634.251 - $7,250

= $1,114.251

Hence, the interest earned amount is $1,114.251

Answer:

I believe you're right good luck

Answer:

[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]

Step-by-step explanation:

The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.

To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.

A.

[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]

[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]

B.

[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]

[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]

C.

[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]

[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]

D.

[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]

[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = [tex]\frac{73+82+85+83+x}{5}[/tex]

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!