After Karen spent 1/4 of her paycheck on a coat, she had $96
left. What was the cost of her coat?
32
24
138
72

Answer:

18

Step-by-step explanation:

Two years ago, she was 32. One half of 32 is 16 Her cousin was 16 two years ago 16 plus 2 = 18 Her cousin is now 18

34 - 2 = 32

32/2 = 16

16 + 2 = 18

Answer = 18

Answer:

18

Step-by-step explanation:

2 years ago she was 32. Since she was twice as old, you will divide 32 by two which will give you 16. You will then add 2 since that was two years ago which will give you 18.

Answer:

300

Step-by-step explanation:

5x60=5x6 tens it equal to 30 tens. 30 tens equals 300

Answer:

see below

Step-by-step explanation:

there are 6 tens in 60!

5x60 = 5 x 6 tens

= 30 tens

= 300

Answer:

The average of the extracted scores that are extreme values (outliers) = 102

Step-by-step explanation:

With the logical assumption that the population size is large enough, for a normal distribution,

68% of the data lies within 1 standard deviation of the mean.

95% of the data lies between 2 standard deviations of the mean.

99.7% of the data lies within 3 standard deviations of the mean.

So, the outliers for a normal distribution are usually beyond 3 standard deviations of the mean.

The mean = 128.5

Standard deviation = 8.2

The range of scores within 3 standard deviations of the mean is obtainable thus

(Mean ± 3standard deviations)

3 × standard deviations = 3 × 8.2 = 24.6

(128.5 ± 24.6) = (103.9, 153.1)

The 3 extracted scores are 148, 102 and 152. The only extreme value of these 3 extracted scores is 102. The two other scores are within the range of 3 standard deviations of the mean.

Hence, the average of the extracted scores that are extreme values (outliers) = 102

Hope this Helps!!!

Answer:

x=26

Step-by-step explanation:

(x+6)2=64

x+6=32

x=26

Answer:

Here is the solution. Mark as brainlist please.

Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.

Step-by-step explanation:

Hope this helped~

Answer:

You can tell if a table is linear by looking at how X and Y change.If,as X increases by 1, Y increases by a constant rate,then a table is linear.

Answer:7cm

Step-by-step explanation:

m^3=343

Take the cube root of both sides

m=7

Answer:

MC = 4.5cm

Step-by-step explanation:

Question:

Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M ​​and the perimeter of the triangle AMC = 12 cm. Calculate MC.

Solution:

Find attached the diagram used in solving the question.

Given:

∆ABC is an isosceles triangle (two sides and angles are equal)

AB = BC = 3cm

Perimeter of ∆AMC = 12cm

From the diagram, M cuts AC at the the middle.

AD = CD = AC/2 = 3/2

Perimeter of Right angled ∆AMD = AM + AD + MD

= 3/2 + AM +MD

Perimeter of Right angled ∆CMD =CM + CD + MD

= 3/2 + CM +MD

Right angled ∆AMD = Right angled ∆CMD

CM = AM

Therefore ∆AMC is an isosceles triangle

CM = AM (two sides of an isosceles triangle are equal)

Let CM = AM = x

Perimeter of ∆AMC = AM + CM + AC

12 = x + x + 3

12 = 2x + 3

2x = 12-3

2x = 9

x = 9/2 = 4.5

CM = AM = 4.5cm

MC = CM = 4.5cm

Answer:

S(a) = 27,5036  squared units

Step-by-step explanation:

Shaded area is :

S(a)  =  Area of the circle  - area of the regular pentagon      (1)

A(c) = area of the circle

A(c) = π*(r)²    ⇒  A(c) =  π*(6)²     ⇒   A(c) =  36*π   ⇒ A(c) = 113,0976 squared units

Area of a regular pentagon:

a) If we draw a straight line between the center and each vertex we get  5 triangles, and if we draw the apothem for each side, we get 10 triangles. We will calculate the area of one  of these triangles

The first 5 triangles has a central angle equal to 72⁰ according to:

360/5  =  72

When we divide these triangles in two triangles by means of the apothem, each central angle will be of 36⁰, then

sin 36⁰  =  0,58778  and cos 36⁰ = 0,809017    and   sin 36⁰ =  x/6      here x is half of the side of the regular pentagon. Then

0,58778  =  x/6

x = 6*0,58778

x =  3,52668 units of length  

and cos 36⁰ = a/6      where a is the apothem, then

0,809017  = a / 6     ⇒   a  = 6*0,809017

a =  4,8541 units of length

Now we are in conditon to calculate area of the triangles as:

A(t) = (1/2)*b*h

A(t) = (1/2)*x*a     ⇒ A(t) = 0,5* 3,52668*4,8541

A(t) = 8,5594 squared units

Finally we have 10 of these triangles, then

Area of regular pentagon is : 10*A(t) squared units

A(p) = 85,594 squared units

Now plugging these values in equation (1) we get the shaded area

S(a) =  113,0976 - 85,594

S(a) = 27,5036  squared units

Answer:

y = (-1/2)x + 9/2

Step-by-step explanation:

the equation of a straight line can be written as;

y = mx + c ......1

Where;

m = slope

c = intercept

For two lines to be perpendicular their slope must be opposite reciprocal of each other.

m1 × m2 = -1 .....2

Given;

The equation Contains (3, 3); and perpendicular to the line y = 2x - 1

Slope of the given equation m1 = 2

Slope of the line m2; substituting m1 to equation 2.

2 × m2 = -1

m2 = -1/2

So,

y = (-1/2)x + c

To solve for c, let's substitute the given point on the line; (3,3).

3 = (-1/2)(3) + c

3 = -3/2 + c

c = 3 + 3/2

c = 9/2

Therefore, the equation of the line that has the given properties is;

y = (-1/2)x + 9/2

Firstly we need to find m<DNY

m<DNY=(60+90)÷2=75

N9w we can find m<KNY

m<KNY+m<DNY=180°(Because these are adjacent corners)

m<KNY+75°=180°

m<KNY=180°-75°

m<KNY=105°

Answer:

A. X=6 only

Step-by-step explanation:

Answer:

the ninth row has 30 seats

Step-by-step explanation:

because the first row started off as six 3 X 9 = 27  but the rule is add three more seat every row but if thee first row started of with six then you have to add 3 more to the ninth row which mean there are 30 seats

Answer:

A. 1/2

Step-by-step explanation:

20x=10

Divide 20 on both sides of the equation to get x by itself

20x=10

___.  __

20.     20

x =1/2

Answer:

A) x= 1/2

Step-by-step explanation:

20x= 10 we then divide 10 by 20 to get x= 10/20 or if we simplify x= 1/2. Thus answer choice A) is correct!

Answer:

$9.32

Step-by-step explanation:

If she paid $11 for the salad, then the three pizzas cost 38.95 - 11.00 which is 27.95.  Divide that by three and you get $9.32 (if you round to the nearest penny)

Answer: 1050 people.

Step-by-step explanation: It's a rule of three question.

15/50 as x/3500

Then you have that 50x = 52500

x = 1050

There you have it.

Answer:  yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = 3

B = 5.5

C = 11

Answer:

The area of shaded region is 25.5 units³

Step-by-step explanation:

Step 1 , you have to find the area of rectangle and triangle using the formulas :

Rectangle :

[tex]area = length \times width[/tex]

Let length = 5 units,

Let width = 6 units,

[tex]area = 5 \times 6[/tex]

[tex]area = 30 \: \: {units}^{2} [/tex]

Triangle :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 3 units,

Let height = 3 units,

[tex]area = \frac{1}{2} \times 3 \times 3[/tex]

[tex]area = \frac{1}{2} \times 9[/tex]

[tex]area = 4.5 \: \: \: {units}^{2} [/tex]

Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :

[tex]area = 30 - 4.5[/tex]

[tex]area = 25.5 \: \: \: {units}^{2} [/tex]

Answer:

c.) $3,780

Step-by-step explanation:

9/100 × $42,000

= 9 × $420

= $3,780

Answer:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Step-by-step explanation:

Information given

n=631 represent the random sample selected

X=284 represent the people who said that they thought unemployment would increase

[tex]\hat p=\frac{284}{631}=0.45[/tex] estimated proportion of people who said that they thought unemployment would increase

[tex]p_o=0.47[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v{/tex} represent the p value

System of hypothesis

We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.47[/tex]  

Alternative hypothesis:[tex]p < 0.47[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Answer:

  A number line going from negative 1 to positive 7. An open circle is at 3. Everything to the right of the circle is shaded.

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

So, we have the condition that ...

  A > 42

  bh > 42 . . . . . substitute the expression for area

  14h > 42 . . . . fill in the given base

  h > 3 . . . . . . . divide by 14

Numbers greater than 3 are to the right of 3 on the number line.

_____

The relation is > rather than ≥, so the "or equal to" case is not included. That is why the circle is open, rather than solid.

Answer:

a).

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

In order to find the slope of a perpendicular line: negate the reciprocal of the original slope

Answer:4.6

Step-by-step explanation:

Percentage decrease=(65-62)/65 x 100

Percentage decrease=3/65 x 100

Percentage decrease=(3x100)/65

Percentage decrease=300/65

percentage decrease=4.6

Answer:742 cm^3

Step-by-step explanation:

Height=h=12cm

Radius=r=5cm

π=3.14

volume of cylinder=π x r^2 x h

Volume of cylinder=π x r x r x h

Volume of cylinder=3.14 x 5 x 5 x 12

Volume of cylinder=742 cm^3

Answer:

kitchen

Step-by-step explanation:

if a foot is 2.389 then i would be pretty far but not a block away

Answer:

That's nice

But it should've YEETED

Step-by-step explanation:

Answer:

haha

Step-by-step explanation:

Answer:

We conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.

Step-by-step explanation:

We are given that there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.

Summary statistics:

n = 20

sample mean = 100.55

sample standard deviation = 6.304

Q = 97: median = 101: Q3 = 104

Let [tex]\mu[/tex] = average sodium content in all Jupiter Bars.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 96 milligrams     {means that the average sodium content in all Jupiter Bars is equal to 96 milligrams}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 96 milligrams     {means that the average sodium content in all Jupiter Bars is actually more than 96 milligrams}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                       T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean sodium content = 100.55

            s = sample standard deviation = 6.304

            n = sample of Jupiter bars = 20

So, the test statistics  =  [tex]\frac{100.55-96}{\frac{6.304}{\sqrt{20} } }[/tex]  ~ [tex]t_1_9[/tex]

                                       =  3.228

The value of t test statistics is 3.228.

Now, at 5% significance level the t table gives critical value of 1.729 at 19 degree of freedom for right-tailed test.

Since our test statistic is more than the critical value of t as 3.228 > 1.729, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average sodium content in all Jupiter Bars is actually more than 96 milligrams.

Answer:

B is correct

Step-by-step explanation:

Side ratio is 40/25 = 8/5

Answer:

B.

Step-by-step explanation:

Finding scale factor, we find the ratio between twp sides of the dilated triangle corresponding to each other.

Scale Factor = Side of the dilated Δ / Corresponding side of the old triangle

scale factor = 40/25

simplifying

Scale Factor = 8/5

Answer:

Acute and equilateral triangle

Step-by-step explanation:

An acute triangle is a triangle in which each of its angles measures less than 90 degrees.

There are three types of acute e triangle

1. Equilateral triangle: This is an acute triangle which has all of its sides equal as in the case of Steve.

2. Isosceles triangle is an acute triangle that has only two equal sides.

3. Scalene triangle is an acute triangle that has no Equal sides, that is, none of its sides are equal.

Answer:

Equilateral triangle

Step-by-step explanation:

Steve's triangle is an acute triangle.

An acute triangle has each of its 3 acute. That is the angles are less than 90°. It could be an equilateral triangle, isosceles or scalene triangle.

In this case, it is an equilateral triangle since all 3 sides (5m) are equal. Therefore all 3 angles of the triangles are equal( angle would be 60°).