It cost $3 to rent bowling shoes. Each game costs 2.50 you have 15.50. How many games can you bowl

Answer:

There is sufficient evidence that the students claim is correct.

Step-by-step explanation:

From the information given:

The population proportion P = 55% = 0.55

The sample size n = 150

The sample mean x = 96

The sampling proportion from the sample mean [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{96}{150}[/tex]

[tex]\hat p =0.64\\[/tex]

The null and alternative hypothesis is:

[tex]H_o : p = 0.55 \\ \\ H_1 : p > 0.55[/tex]

The test statistics can be computed as follows:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}[/tex]

[tex]Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}[/tex]

[tex]Z = \dfrac{0.09}{\sqrt{0.00165}}[/tex]

Z = 2.22

The P - value = P ( Z > 2.22)

= 1  - P( Z < 2.22)

= 1 - 0.98679

= 0.01321

Since P-value is less than the level of significance ∝ = 0.05

We reject the null hypothesis [tex]H_o[/tex]

Conclusion: There is sufficient evidence that the students claim is correct.

Answer:

In total 177 more students enrolled this year.

Step-by-step explanation:

First get the sum of the students who enrolled in 1995, then the sum of 2005 and then subtract the sums.

Answer:

177 more students

Step-by-step explanation:

1995 had 65 students enrolled

females - 23 males - 42

23 + 42 = 65

2005 had 242 students enrolled

113 + 129 = 242

now to get how many more, you'll want to subtract

242 - 65 = 177

we know this is correct by adding 65 to 177

177 + 65 = 242

either way our answers will be the same

Hope this helps you!

                                  ~tnyu

Answer:

Step-by-step explanation:

The amount of money Robert has after 1 year is; $2495.

We are told that Robert came up with the following expression 45w + 155.

where w is the number of weeks that he has been saving.

The equation above represents the amount he will have in his bank account.

Now, 1 year has 52 weeks. Thus, the amount he would have saved in 52 weeks is;

45(52) + 155 = $2495

Thus, we conclude that the amount of money Robert has after 1 year is $2495.

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Answer:

1.75 feet of wood

Step-by-step explanation:

350/200 = 1.75

x/1 = 1.75

Multiply both sides by 1 to isolate x.

x = 1.75

Answer:

D. 16 in.

Step-by-step explanation:

The radius of the circle is 8 in. The diameter of any circle is twice the radius.

2 x 8 = 16

The diameter is 16 in. long.

I hope this helped :)

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

Answer:

yes and free points woooooooooooo

Step-by-step explanation:

Answer:

3 = x

Step-by-step explanation:

To simplify this equation, combine like terms:

3 = x

Answer:

{8,20,30} won't make a triangle

Step-by-step explanation:

add the first two sides of the triangle, if it's greater it's a triangle if it's not it won't work

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

[tex](-2x^4)^4=-16x^{16}[/tex]

The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even

so, in our case it would be:

[tex](-2x^4)^4=16x^{16}[/tex]

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Answer:

Steps in order will be

[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]

Step-by-step explanation:

Consider the function [tex]f(x)=\sqrt{7x-21}[/tex]

We need to find [tex]f^{-1}(x)[/tex]

For finding [tex]f^{-1}(x)[/tex]  replace f(x) with y

Step 1: Replace f(x) with y

[tex]y=\sqrt{7x-21}[/tex]

Now, solve for x

Step 2: Taking square on left side

[tex]y^2=(\sqrt{7x-21})^2\\y^2=7x-21[/tex]

Step 3 : take 7 common

[tex]y^2=7(x-3)[/tex]

Step 4 : Divide both sides by 7

[tex]\frac{y^2}{7}=x-3[/tex]

Step 5: Add 3 on both sides

[tex]\frac{y^2}{7}+3=x-3+3\\x=\frac{y^2}{7}+3[/tex]

Step 6: Replace x with y and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{1}{7}x^2+3[/tex] where x≥0

Steps in order will be

[tex]1. y=\sqrt{7x-21}\\2. y^2=7x-21 \\ 3. y^2=7(x-3)\\4. \frac{y^2}{7}=x-3\\ 5. x=\frac{y^2}{7}+3\\6. f^{-1}(x)=\frac{1}{7}x^2+3 \:where\: x\geq 0[/tex]

Assuming one or 2 steps are missing in the diagram given.

Answer:

Step-by-step explanation:

6(2x- 5)= 15x+3     expand

12x - 30 = 15x + 3  combine similar terms

12x - 15x = 30 + 3  simplify

-3x = 33                 divide -3 both sides

x = 33 / -3             simplify

x = -11  

Answer:

answer is 6 cm, 7cm, 12 cm

Step-by-step explanation:

the rule is that the sum of any two sides of a triangle must be greater than the 1 one side

Answer:

6 cm, 7 cm, 12 cm

Step-by-step explanation:

Answer: 1 7/30

Step-by-step explanation:

The slope will be 0.05.

        y = mx + c

      [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

       Other possible equations of lines are -

We have a cell phone company charges $40 plus 0.05 per text

We can write the general equation for the cell phone as -

y = 0.05x + 40

Now, we can compare with the general equation of line as -

m = 0.05

Therefore, the slope will be 0.05.

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Answer:

x = -1

Step-by-step explanation:

3(-1) - 3

-3 - 3

-6

-6 = -6

Answer: x=-1

Step-by-step explanation:

Substitute g(x) as -6

-6=3x-3

add 3

-3=3x

divide 3

-3/3=-1

x=-1

Answer: choice B

Step-by-step explanation:

the mean is the sum of terms divided by the number of terms

mean=75.77, has to be rounded so it is 75.8

mode = 63 the one who appears the most

median is 76.5

Answer:

( LESSON 5 Measures of Central Tendency and Dispersion )

1 ) Find the mean, median, and mode of the data set. Round to the nearest tenth.  15,139,9,7,1,11,10,13,1,13

C ) mean= 9.3  ,median= 10  ,mode= 13

2 ) Find the mean, median, and mode of the data set. Round to the nearest tenth.  test scores on a math exam:

88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85

B) mean=75.8 ,median=76.5 ,mode=63

3 ) The table shows the number of hours that a grouped of students spent studying for the SAT.......

B ) Mean-18.3   Median- 19   Mode- 14   Range-9

4 ) A store sells five models of cameras for $190.00, $420.00, $270.00, $300.00, and $420.00.......

B ) mean = $339.20   median =$318.00   mode = $445.20   range=$243.80

Step-by-step explanation:

these are the correct answers for 2022 have a good day UwU

Answer:

Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.

Answer:

4%

Step-by-step explanation:

17.68 / 17 = 1.04

1.04 - 1 = 0.04

0.04 = 4%

So the sales tax rate is 4%

Answer: ( 0, 9, 0)

Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)

Hope this helps :)

Answer:

(2 , 0)

I solved this using the comparison method ;)

Answer:

y=4×+6=56

56×65

45×34=

2×-4=67

9514 1404 393

Answer:

  a) y = 5x

  b) y = 60

Step-by-step explanation:

a) The equation for a proportional relationship is ...

  y = kx

We can use the given values for x and y, and solve for k:

  k = y/x = 30/6 = 5

The equation is ...

  y = 5x

__

b) For x=12, the value of y is ...

  y = 5·12

  y = 60

Answer:

El chef necesitará 154 patatas.

El gasto total será 311.5 €

Step-by-step explanation:

Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora?

Para calcular la cantidad de patatas que el chef necesita debes hacer la diferencia entre la cantidad de patatas requeridas para la cena de Navidad y la cantidad de patatas que el chef ya tiene. Esto es:

178 -24=  154 patatas

El chef necesitará 154 patatas.

Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?

Ahora el chef necesita 89 chuletones asados con mantequilla, y necesita una caja de mantequilla para cada chuletón. Por lo que necesita 89 chuletones y 89 cajas de mantequilla.

Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts (equivalentes a 0.5 €), entonces el gasto total será calculado como:

89 chuletones* 3 € + 89 cajas de mantequilla* 0.5 €= 311.5 €

El gasto total será 311.5 €

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

The midpoint of a segment is where the segment is divided into two equal parts.

Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.

Two lines that are perpendicular to each other will form right angle where they intersect each other.

Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.

For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.

In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.

In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.

In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:

1. d. QS ≅ ST.

2. a. ∠A and ∠D are right angles.

3. D is the midpoint of segment AC (statement 2)

Definition of midpoint (reason 3)

SSS postulate (reason 5)

4. b. AC ≅ DC.

5. c. ∠ABC ≅ DBC.

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Answer:

m = 3

Step-by-step explanation:

[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3

Step-by-step explanation:

y¹-y²

------

x¹-x²

substitute then solve.

7-1 6

------ --> ----

6-4 2

6/2=3 so slope is 3.

Answer:

C

Step-by-step explanation:

Answer:

a). f(0) = 4

b). f(6) = 8

Step-by-step explanation:

a). When x < 5, piecewise function to be considered,

f(x) = x + 4

Since, x = 0 is less than x = 5

f(0) = 0 + 4

f(0) = 4

b). When 5 ≤ x < 7,

Piecewise function to be considered,

f(x) = 8

Therefore, for x = 6,

f(6) = 8

bruh its so blury. make the same question with a different angle