You have a gift card for your favorite clothing store for the amount of $60. You have found a shirt you want to buy that costs $15. If you don't want to spend more than the amount of the gift card, which of the following inequalities could be used to determine the amount you have left to spend?
A. x + 15 ≥ 60
B. x – 15 ≥ 60
C. x – 15 ≤ 60
D. x + 15 ≤ 60

Answer:

SSS

Step-by-step explanation:

We know this triangles are congruent due to SSS because AB is congruent to CD because of the tick marks. AB is also congruent to BC due to the tick marks. BD Is congruent to BD by the reflexive property. Therefore, triangle ADB is congruent to triangle CDB by SSS.

Please mark brainliest if this helped you :)

Answer:

SSS

Step-by-step explanation:

Answer: it would be half the size

Step-by-step explanation:

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10      The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

Answer:

3

Step-by-step explanation:

Answer:

A) 6.28ft

Step-by-step explanation:

r = 3ft

θ = 120°

Arc length = θ ⋅ (2πr/360)

Arc length = 120° ⋅ (2π ⋅ (3/360))

6.2831853

i hope this explains it, pls mark brainliest

Answer:

the answer is definitely 11

Step-by-step explanation:

Answer:

225 kilometers

Step-by-step explanation:

7.5 times 30 equals 225

Answer:

17

Step-by-step explanation:

d = √( (x₂ - x₁)² + (y₂ - y₁)² )

   = √( (14 - 6)² + (19 - 4)² )

   = √( 8² + 15² )

   = √( 64 + 225 )

   =  [tex]\sqrt{289}[/tex]

   = 17

Answer:

i think its B

Step-by-step explanation:

Answer:

[tex]\frac{1}{256}[/tex]

Step-by-step explanation:

The [tex]4^{-4}[/tex] without exponents is 1/256.

Given,

[tex]4^{-4}[/tex]

We need to write the given expression without exponents.

Exponents are power to a base value.

Example:

a² and b³

a and b are base

2 and 3 are exponents.

We can a fraction into an exponents form and vice versa.

Example:

1/a = [tex]a^{-1}[/tex]

We have,

[tex]4^{-4}[/tex]

Changing into a fraction form

= 1/[tex]4^{4}[/tex]

Find [tex]4^{4}[/tex].

[tex]4^{4}[/tex] = 4 x 4 x 4 x 4 = 16 x 16 = 256

Now,

= [tex]4^{-4}[/tex]

= 1/[tex]4^{4}[/tex]

= 1/256

We get,

= 1/256

Thus the [tex]4^{-4}[/tex] without exponents is 1/256.

Learn more about exponents of a cube number here:

https://brainly.com/question/15993626

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Answer:

x = 25 degrees

Step-by-step explanation:

All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.

180 = 99 + 56 + x

180 = 155 + x

25 = x

The unknown angle is equal to 25 degrees.

Answer:

57 days

Step-by-step explanation:

Given that:

t(0) = 26000

Growth rate (S'(t)) = 80t^1/2

Targeted number of subscribers = 49000

Take the integral of the growth rate :

∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C

[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C

(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C

(160/3)t^3/2 + C

Let C = t(0)

(160/3)t^3/2 + 26000 = 49000

(160/3)t^3/2 = 49000 - 26000

(160/3)t^3/2 = 23000

Multiply both sides by 3/160

t^3/2 = 23000* 3/160

t^3/2 = 69000/160

t^3/2 = 431.25

t^(3/2 * 2/3) = 431.25^2/3

t = 57.080277

t = 57 days (approx.)

Answer:

draw your representation of a 4 characters depicting each Hogwarts house?

Answer:

hmm you are already really good, I'm not sure if you have already but try drawing different perspectives of the head/ neck :)

Answer:

Using z score formula:

X = z ∂ + µ

 = 157.833

Step-by-step explanation:

Solution:

Mean = µ = 1262

Standard deviation = ∂ = 117

(a) 28th percentile for the number of chocolate chip.

P( z < z) = 28%

             = 0.28

P( z<- 0.58)  = 0.28

Z = -0.58

By using z score formula:

Z = x - µ /∂

-0.58= x – 117 / 1262

X = (- 0.58)(117) + (1262)

 =  1194.14

(b) Middle 97% of bag.

P(-z < z < z) = 97%

                    = 0.97

P( z < z) – p(z < -z) = 0.97

2p(z < z) -1 = 0.97

2p (z < z) = 1 + 0.97

P(z < z) = 1.97 / 2

            = 0.99

P(z < 2.33) = 0.99

Z ± 2.33

By using z score formula:

Z = x - µ / ∂

X = z ∂ + µ

  = - 2.33 x 117 + 1262

  =989.39

Z = 2.33

X = z ∂ + µ

  =  2.33 x 117 + 1262

 =1533.61

(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.

By using standard normal table,

The z dist’n formula:

P(z < z ) = 25%

            =0.25

P(z < -0.6745) = 0.25

Z = 0.6745

Using z score formula:

X = z∂ + µ

   = - 0.6745 x 117 + 1262

  = 1183.0835

First quartile = Q1 =1183.0835

The third quartile is:

P(z<z) = 75%

    = 0.75

P(z < 0.6745) = 0.75

Z = 0.6745

Using z score formula:

X = z ∂ + µ

  = 0.6745 x 117 + 1262

= 1340.9165

IQR = Q3 – Q1

     = 1340.9165 – 1183.0835

  = 157.833

Answer:

The percentage is 68.26%

Step-by-step explanation:

Before we use the empirical rule , we need to find the value of the z-score

Mathematically;

z-score = (x - mean)/SD

Thus;

z-score = (7.85 - 7.45)/0.4 = 0.4/0.4 = 1

So the percentage we want to calculate now is the percentage of values within 1 standard deviation of the mean

According to the empirical rule, 68.26% of values are within 1 standard deviation of the mean

Answer:

Correct option: c. 8

Step-by-step explanation:

One-sided Limit

Given a piecewise function, we can find the limit when the variable approaches a specific value in the boundary of two pieces.

Special care must be taken to determine what function will be used to calculate the limit according to the conditions of the independent variable.

The given function p(t) has 3 pieces or subfunctions according to different conditions of t. We need to calculate:

[tex]\lim _{x\to 2^{-}}p(t)[/tex]

We must find the subfunction where a value of t is close to 2 but is less than 2.

The correct subfunction is

[tex]p(t)=t^3\qquad -2\le t\le 2[/tex]

Taking the limit:

[tex]\lim _{x\to 2^{-}}p(t)=\lim _{x\to 2}t^3=2^3=8[/tex]

Correct option: c. 8

Answer:

x = -3.5

Step-by-step explanation:

Mark brainliest please!!

Answer:

It would cost $2.20

Step-by-step explanation:

If 3 cans = $.55

then 3*4 = 12

soooo 4*.55 = 2.20

Hope this helps!!!

Answer:

72

Step-by-step explanation:

do 24/2=12x6=72

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429

Pythagora's theorem can be used to solve problems like this

Answer:

∠TPR = right angle

∠SPQ = acute angle

∠QPT = obtuse angle

Step-by-step explanation:

Right angles are 90°, acute angles are angles less than 90°, obtuse angles are angles more than 90°

Answer:

a) b. 9

b) c. 4

c) d. 4

Step-by-step explanation:

You are planning to evaluate the mean of a single continuous variable from a study with a sample of n =10 using the t statistic. What are the degrees of freedom for the sample?a. 11 b. 9 c. 10 d. 8

The formula for degree of freedom

= n - 1

n = 10

Degrees of freedom for the sample = 10 - 1

= 9

Option b is correct.

b) With another study, where you also plan on evaluating a mean using the t statistic, you have sample of n =31 that has as SS of 120.

What is the variance for the sample?a. 10.95 b. 14,400 c. 4 d. 2.00

The formula for Variance of a samples = SS(Sum of squares) /n - 1

n = 31

Variance of samples = 120/31 - 1

= 120/30

= 4

Option c is correct

c) For a sample of n =25 that has a sample variance of 400, what is the estimated standard error for the sample?a. 16 b. 17 c. 4.08 d. 4

The formula for standard error =

Standard deviation/√n

We are given Sample variance.

Standard deviation = √400

= 20

Hence, Standard Error = 20/√25

= 20/5

= 4

Option d is correct.

a) The degrees of freedom for the sample is option b. 9.

b) The variance is option c. 4.

c) The standard error is option d. 4.

a.

The formula for degree of freedom

= n - 1

n = 10

Now

Degrees of freedom for the sample should be

= 10 - 1

= 9

b) The variance should be

Since

n = 31

So,

Variance of samples = 120/31 - 1

= 120/30

= 4

c.

The formula for standard error is

= Standard deviation/√n

Here,

Standard deviation = √400

= 20

so, Standard Error = 20/√25

= 20/5

= 4

Learn more about variance here: https://brainly.com/question/24138432

Answer:

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Step-by-step explanation:

Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.

m=2

rise/run = 2/1

rise = 2

run = 1

Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.

Answer:

4 students got three answers incorrectly.

The number of students got 3 answers incorrect is 4.

A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.

Now from the given histogram following informations are extracted-

Number of students got 1 answer incorrect = 2

Number of students got 2 answer incorrect = 3

Number of students got 3 answer incorrect = 4

Number of students got 4 answer incorrect = 1  

Number of students got 5 answer incorrect = 2

Thus from above we can conclude that,

Number of students got 3 answer incorrect = 4

Thus, the number of students got 3 answers incorrect is 4.

To learn more about histogram :

brainly.com/question/1593386

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Answer:

621200000000000000

Step-by-step explanation:

(6.2×10^17 )+(1.2×10^15)

6.2×100000000000000000+1.2×10^15  ≈6.212⋅10^ 1  7

620000000000000000+1.2×10^15 ≈6.212⋅10^ 1  7

620000000000000000+1.2×1000000000000000≈6.212⋅10^ 1  7

620000000000000000+1200000000000000≈6.212⋅10^1  7

621200000000000000

Answer:

6.212×10^17

Step-by-step explanation:

[tex] = ( 6.2 \times {10}^{17} ) + (1.2 \times {10}^{15} )[/tex]

[tex] = (620 \times {10}^{15}) + (1.2 \times {10}^{15} )[/tex]

[tex] = 620 \times {10}^{15} + 1.2 \times {10}^{15} [/tex]

[tex] = (620 + 1.2)\times {10}^{15} [/tex]

[tex] = 621.2\times {10}^{15} [/tex]

[tex] = 6.212 \times {10}^{17} [/tex]

I hope it helped u :)

Answer:

-36

-3y

Step-by-step explanation:

F

Answer:

(4,-7)

Step-by-step explanation:

y=4x-9

y+3=x

y=4(y+3)-9

y=4y+12+9

y=4y+21

y-4y=21

-3y=21

y=-7

Now use y to find x

y+3=x

-7+3=4

x=4