Multiply the binomials. ( 7 x − 12 ) ( 9 x − 8 )

Answer:

1 page of a report per hour

Step-by-step explanation:

2/2= 1 page per hour

Lets find unit rate

[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]

Answer:

x=20

Step-by-step explanation:

Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20

Answer:

20

Step-by-step explanation:

The diagonal of a rectangle can be found using the formula:

[tex]\sqrt{(l^2 + w^2)}[/tex]

Answer:

44

Step-by-step explanation:

gradpoint

Answer: 5%

Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%

And if there are ten crates, then you see how many eggs there a re total.

(10 × 20 = 200)

If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200

convert the fraction to a decimal ( 10 ÷ 200 = .05)

then convert the decimal to a percent. .05 is equal to 5%

PLEAZE RATE BRAINLIEST!!!

Answer:

b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.

Step-by-step explanation:

The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, option b is the correct answer.

Answer: 4,170

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170[/tex]

Step-by-step explanation:

100% = $70.99

there is a discount of 25%.

that means 75% (100 - 25) of the original price remains.

the equation to get any x% amount of a 100% total is simply

x% amount = 100% total amount × x/100

25% = 70.99 × 25/100 = $17.75

Answer:

Step-by-step explanation:

i assume that you mean

log X (25) = 7

which would be:

x power by 7 = 25, but it is wrong, so more clear questions please

The exponential equation is equivalent to this logarithmic equation is 5^9 = x, the correct option is A.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

I - log, 25 = 7

Now,

To convert a logarithmic equation to an exponential equation, we can use the following property:

[tex]log_b(x)[/tex] = y if and only if b^y = x

where b is the base of the logarithm, x is the argument of the logarithm, and y is the value of the logarithm. In this case, the base of both logarithms is 5, so we can apply this property to both sides of the equation. We get:

[tex]log_5(x) - log_5(25) = 75^(log_5(x) - log_5(25)) = 5^7[/tex]

Using another property of logarithms, we can rewrite the left-hand side as:

[tex]5^(log_5(x/25)) = 5^7[/tex]

Using the property of exponents and logarithms again, we can simplify the left-hand side as:

x/25 = 5^7

Multiplying both sides by 25, we get:

x = 25 * 5^7

x = 25 * 78125

x = 1953125

Therefore, by the given equation the answer will be 5^9 = x.

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Answer:

3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4

Step-by-step explanation:

Answer:

6/36  or 1/6 chance.

Step-by-step explanation:

dice roll one has the same numerator as dice roll two

As it acts the same as replaced from a marble bag.

Therefore, we show;

odd numbers on a die =  1, 3,5  = 3

= 3/6 = 1/2

and we show;

numbers higher than 4  = 5, 6 = 2

= 2/6  = 1/3

3/6 x 2/6 = 6/36 = 1/6

The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.

Answer:

Here you go

Ans is in pictures.

Answer:

C'D' = 4

Step-by-step explanation:

When the figure is reflected, the length of the segments does not change.

CD = 4 so C'D' = 4

Answer:

4 units

Step-by-step explanation:

a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.

Length of CD: 4 units

so,

C'D'=4units

Domain={-5,4}

Range={-3,4}

Answer:

so y = 48 when x = 4

Step-by-step explanation:

if y = 24, x = 2

or, if x = 2, y = 24

so, if x = 1, y = 24/2

so, if x =1, y = 12

then if x = 4, y = 12×4 = 48

The required simplified value of the y at x = 4 is given as y = 192.

Given that,
y varies directly as the cube of x, and y = 24 when x = 2.
To determine y at x = 4.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
According to the question,
y ∝ x³
From the above property,
y₁/y₂ = [x₁ / x₂]³
Substitute the value in the equation,
24/y₂ = [2/4]³
y₂ = 64/8 × 24
y₂ = 192

Thus, the required simplified value of the y at x = 4 is given as y = 192.

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Answer:

4 and -1

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,

[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]

Step 1 : Equate the function with 0,

[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]

Step 2: Equating with 0 :-

Now equate each factors seperately with 0 , to get the x Intercepts.

Step 3: Finding the intercepts :-

[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]

Again ,

[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]

Hence the x intercepts are 4 and -1 .

Answer:D (4,0) and (-1,0)

Step-by-step explanation:

Answer:

Neither lines r and s nor lines t and u must be parallel from the information given

Step-by-step explanation:

<2 and <4 are vertical angles so they are always equal

<5 and <7 are vertical angles so they are always equal

We are not given any information to tell if any of the lines are parallel

Neither lines r and s nor lines t and u must be parallel from the information given

I made a comment about this but I mean, free 30 points.

I think the answer is the last one. It only mentions <2 = <4 and <5 = <7. Nowhere does it say <2 =< 5 for example. So it can be any two lines of which don't have to be parallel to each other.

Step-by-step explanation:

cos=ROQ

Sin=QOP

HOPE THIS HELP

Answer:

(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].

(b) Hence the relative error is 1.54%.

Step-by-step explanation:

Here the given are,

The Radius of the circle r = 26cm.

The maximum error in measurement dr = 0.2 cm.

Answer:

(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Step-by-step explanation:

radius, r = 26 cm

error = 0.2 cm

(a) The area of the disc is given by

[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]

Now

A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2

So, the area with error is given by

[tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) The relative error is

[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Answer:

262.5

Step-by-step explanation:

V = l x b x h

=14x25/4x3

=262.5

Answer:

The team can assign field positions to 9 of the 19 players in 181,440 different ways.

Step-by-step explanation:

Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:

3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X

21 x 30 x 12 x 24 = X

630 x 12 x 24 = X

181,440 = X

Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.

Answer:

37.3

Step-by-step explanation:

19tan(63) = x = 37.289... = 37.3

Answer:

7

Step-by-step explanation:

You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.

Answer:

The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]

Step-by-step explanation:

Proportion in 2000:

10 of the 50 men were obese, so:

[tex]p = \frac{10}{50} = 0.2[/tex]

Test if it has increased:

At the null hypothesis, we test if the prevalence of obesity has not increased, that is, the proportion is of 0.2 or less, so:

[tex]H_0: p \leq 0.2[/tex]

At the alternative hypothesis, we test if this prevalence has increased, that is, the proportion is above 0.2. So

[tex]H_1: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2(1-0.2)} = 0.4[/tex]

30 out of the 75 men from 2010 were assigned as obese.

This means that [tex]n = 75, X = \frac{30}{75} = 0.4[/tex]

Value of the z-test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4 - 0.2}{\frac{0.4}{\sqrt{75}}}[/tex]

[tex]z = 4.33[/tex]

The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]

Answer:

1/4

3/8

5/8

2/5

Step-by-step explanation:

From the table :

1.)

P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4

2.)

P(comedy) = (comedy total / total) = 6 / 16 = 3/8

3.)

P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8

4.)

P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5

Answer:

The answer is 12

Step-by-step explanation:

Answer:

The vertex is (-5, -2)

Step-by-step explanation:

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

The vertex form of a parabola is

y =a(x-h)^2 +k  where (h,k) is the vertex

y = 2(x  -  -5)^2 - 2

The vertex is (-5, -2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Have a Spanish Jury possibility[tex]= 0.40[/tex]

Jury member No. to be chosen[tex]= n= 12[/tex]

Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]

The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]

OR

The binomial distribution defines the behavior of a count variable X, provided:

There are a set number of data points n.

Set [tex]n=12[/tex]

Each perception is independent. This will not affect others if your first juror is selected

One of two results is that each observation ("success" or "failure"). English or not

Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]

Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]