There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

Answer:

24 miles per gallon

Step-by-step explanation:

to find the unit rate you divide 192 by 8 and that is 24

so it takes Dominic 1 gallon to drive 24 miles

hope this helps!

9514 1404 393

Answer:

  1) Not Similar

  2) Not Similar

Step-by-step explanation:

1) The side length ratios, shortest to longest, are ...

  VU : UW : WV = 27 : 39 : 52 (reduced)

  DC : CE : ED = 12 : 19 : 24 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

__

2) The side length ratios, shortest to longest are ...

  MK : KL = 13 : 19 (reduced)

  HK : KG = 6 : 9 = 2 : 3 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

4.7

Step-by-step explanation:

14.2 - 9.5 = 4.7

hope that helps!

Answer:

B) 59 cm²

Step-by-step explanation:

4x8=32

2x3=6

3x7=21

32+6+21=59 cm²

Answer:

Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]

Given :

Sample with data values of [tex]x_i[/tex]  [tex]10,20,12,17[/tex] and [tex]16[/tex]

Sample size[tex]n=5[/tex]

To find:

Compute the score for each of the five observations.

Explanation :

[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

                     [tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]

                    [tex]\Rightarrow \bar{x}=15[/tex]

Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]

                             [tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]

                            [tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]

                           [tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]

                          [tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]

                         [tex]\Rightarrow \sigma=4[/tex]

[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].

So, when [tex](x=10),[/tex]       [tex]Z=\frac{10-15}{4}=-1.25[/tex]

     when [tex](x=20),[/tex]       [tex]Z=\frac{20-15}{4}=1.25[/tex]

     when [tex](x=12),[/tex]      [tex]Z=\frac{12-15}{4}=-0.75[/tex]

    when  [tex](x=17},[/tex]       [tex]Z=\frac{17-15}{4}=0.50[/tex]

    when [tex](x=16)[/tex]       [tex]Z=\frac{16-15}{4}=0.25[/tex]

the mode of this data is 7

Answer:

The mode of this data is 5.

Step-by-step explanation:

5 has more x

Answer:

y=25

Step-by-step explanation:

the straight line is 180

so, 180-115=65

so, now we know x=65

triangle =180

180-65-90=25

Answer:

sqrt. 244

Step-by-step explanation:

a^2 + b^2 =c^2

10^2 + 12^2 =244

c^2 =244

c= sqrt. 244

Answer:

if x+y equal 90

and z equal 2 sqrt 61

if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90

k =15/4

y=10k

x=12k

like this hopefully its helpful

Answer:

Options-2

Option-4

Step-by-step explanation:

two options have Volume greater than 100 units³

remember the formula of Volume of rectangular prism

given that,

thus substitute:

simplify multiplication:

since 144>100 it's one of our answer

remember the formula of triangular prism

given:

Thus substitute:

simplify multiplication:

since 144>100 it's our answer

the other options don't satisfy the condition

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The two figures that will have a volume greater than 100 cubic units are:

A rectangular prism with dimensions of 2 by 12 by 6

Volume = length x width x height

= 2 x 12 x 6

= 144 cubic units

A cube with a side length 4

Volume = side x side x side

= 4 x 4 x 4

= 64 cubic units

Therefore,

The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.

Learn more about Prism here:

https://brainly.com/question/12649592

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Answer:

is that a unit assesment?

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

a= (a+b/2)(H)

9+17=26/2=13x6= 78

do bedmas

hope this helps

Answer:

B: The center of data is shown by the mean, which is 43.

Step-by-step explanation:

Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.

Answer:

The correct ratio is 40/41

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

Answer:

Hence, the confidence interval is [tex](63.517,74.483)[/tex] gallons.

Given :

Sample size[tex]=36[/tex]

Sample mean [tex]=69[/tex] gallons

Standard deviation [tex]=20[/tex] gallons

So, the standard error [tex]=\frac{20}{\sqrt{36}}=20/6=3.33[/tex]

Confidence level [tex]=95\%[/tex]

To find :

The [tex]95\%[/tex] confidence interval for the number of gallons of carbonated beverages consumed per year by Americans.

Explanation :

[tex]\because[/tex] Confidence interval [tex]=(\text{Sample mean}-\text{margin error},\text{Sample mean}+\text{margin error})[/tex]

Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]

Here, [tex]\alpha=1-95\%=1-0.95[/tex]

      [tex]\Rightarrow \alpha=0.05\Rightarrow \frac{\alpha}{2}=0.025[/tex]

    [tex]Z_{\frac{\alpha}{2}}=Z_{0.025}=1.645[/tex] from the [tex]z-[/tex]table.

So, Margin error [tex]=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt{n}}[/tex]

                         [tex]=1.645\times\frac{20}{6}=1.645\times3.33[/tex]

                        [tex]=5.483[/tex]

Therefore, the confidence interval is:

   [tex](69-5.483,69+5.483)[/tex]

[tex]=(63.517,74.483)[/tex] gallons.

Answer:

Add I think

If there is a plus sign shouldnt it be adding

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Thanks so much for the free p0ints! hereś a meme to make you laugh!

Answer:

4 nickels to 1 dime

Step-by-step explanation:

the steps are in the pic above I gotta get this to 20 characters bye!

Answer:

D

Step-by-step explanation:

The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

A sphere with a diameter of 9 units fits exactly in the clear glass cube.

Diameter = 9 units

The radius r = 9/2 units

The volume of the sphere:

[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]

[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]

The volume of cube = a³

a is the side length

The volume of the cube = (9)³

The volume, in cubic units, of empty space in the cube:

[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]

Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

Learn more about the sphere here:

brainly.com/question/11374994

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Answer:

0.3257

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 496 ; Standard deviation = 110

For :

P(x > 545.7)

We obtain the standardized, Z score

Z = (545.7 - 496) / 110

Z = 49.7 / 110

Z = 0.4518

Hence, using the Z distribution table :

P(Z > 0.4518) = 1 - P(Z < 0.4518)

P(Z > 0.4518) = 1 - 0.67429

P(Z > 0.4518) = 0.32571

Answer: a

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

A)  16 / 9           B) 7/9

Step-by-step explanation:

Answer:

[tex]\=x=2.1[/tex]

[tex]\sigma=2.03[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size[tex]n=100[/tex]

Probability of  a defective widget [tex]P=0.021[/tex]

Generally the equation for binomial trial is mathematically given by

 [tex]q=1-p[/tex]

 [tex]q=1-0.021[/tex]

 [tex]q=0.979[/tex]

Since X is binomial random variable with functions of n and p,The equation of mean \=x

 [tex]\=x=E(x)[/tex]

  Where

  [tex]E(x=n*p)[/tex]

 [tex]\=x=100*0.021[/tex]

 [tex]\=x=2.1[/tex]

Generally the equation for variance \sigma is mathematically given by

 [tex]\sigma=\sqrt{nqp}[/tex]

 [tex]\sigma=\sqrt{200*0.021*0.979}[/tex]

 [tex]\sigma=2.03[/tex]

Answer:

4

Step-by-step explanation:

Two cooies plus two cookies is four cookies.

Answer:

1. 1,538.60 cm³

2. 314.00 m³

Step-by-step explanation:

1. Given:

Diameter = 14 cm

Radius (r) = ½(14) = 7 cm

height (h) = 10 cm

π = 3.14

Volume of cylinder = πr²h

Plug in the values

V = 3.14*7²*10

V = 1,538.60 cm³

2. Given:

Radius (r) = 5 m

Height (h) = √(13² - 5²) = √144 = 12 m

π = 3.14

Volume of cone = ⅓πr²h

Plug in the values

V = ⅓*3.14*5²*12

V = 314.00 m³

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate