Sheila needs to hire a baby sitter for the evening.

Answer:

the angle between u=(8, -2) and v=(9,3) is 32.5°

Step-by-step explanation:

u=(8,-2)=(u1,u2)→u1=8, u2=-2

v=(9,3)=(v1,v2)→v1=9, v2=3

We can find the angle between two vectors using the formula of dot product:

u . v =║u║║v║cos α   (1)

And the dot product is:

u . v = u1 v1 + u2 v2

u . v = (8)(9)+(-2)(3)

u . v = 72-6

u . v = 66

║u║=√(u1²+u2²)

║u║=√((8)²+(-2)²)

║u║=√(64+4)

║u║=√(68)

║u║=√((4)(17))

║u║=√(4)√(17)

║u║=2√(17)

║v║=√(v1²+v2²)

║v║=√((9)²+(3)²)

║v║=√(81+9)

║v║=√(90)

║v║=√((9)(10))

║v║=√(9)√(10)

║v║=3√(10)

Replacing the known values in the formula of dot product (1):

u . v =║u║║v║cos α

66 = 2√(17) 3√(10) cos α

Multiplying:

66 = 6√((17)(10)) cos α

66 = 6√(170) cos α

Solving first for cos α: Dividing both sides of the equation by 6√(170):

Simplifying: Dividing the numerator and denominator on the left side of the equation by 6:

(66/6)/(6√170/6)=cosα→11/√170=cosα→cosα=11/√170

cosα=11/13.03840481→cosα=0.84366149

]

Answer:

first box is 4/5 and the second box (=) is 7/15

Answer:

6

Step-by-step explanation:

The mode is the number that appears most in the data set.

So your answer would be 6 because it appears 3 times.

Answer:

6

Step-by-step explanation:

The mode of a data set is the number that shows up the most frequent. 6 pops up three times, 8 pops up only once, and 10 pops up twice.

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hope it helps

Answer:

=2m²-4m/2(m-2)

=2m(m-2)/2(m-2)

=m is the correct answer

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2

Answer:

$13,537.79

Step-by-step explanation:

The future value of the account after 5 years will be 762 dollars.

Compound interest is calculated for the principle borrowed as well as previous interest accumulated.

According to the given question 600 dollar is deposited in an account at 5 % interest compounded quarterly for 5 years.

Given, Principle(P) = 600, Rate(r) = 5 %, Time in years(n) = 5.

We know the formula for Amount(A) compounded quarterly is

A = P[ 1 + (r/4)/100)]⁴ⁿ.

A = 600[ 1 + (5/4)/100]⁴ⁿ.

A = 600[ 1 + 1.2/100]⁴ˣ⁵

A = 600[ 1 + 0.012]²⁰.

A = 600[ 1.012]²⁰.

A = 600(1.27).

A = 762 dollars.

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Answer:

a,  yes

b no

c yes

d no

Step-by-step explanation:

Answer:

P = 48 in²

Step-by-step explanation:

Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of [tex]\frac{3}{2}[/tex]

To find: Perimeter of the dilated rectangle

Formula: [tex]P=2(l+w)[/tex]

Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.

[tex]P=2(l+w)=2[/tex] × [tex](15+9)=48in[/tex]

Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²

Answer:

it's 9in

Step-by-step explanation: i got it right on my test

Answer:

No, his inference is not valid

Step-by-step explanation:

the data shown represents the statistic of 100 people's preferred ways to view movies in total

out of that 30/100 people prefer to watch in theatre.

trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400

if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.

Answer:

a) The test statistic is [tex]z = -2.51[/tex]

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

[tex]H_a: p_{B} - p_{NY} < 0[/tex]

While the null hypothesis is:

[tex]H_0: p_{B} - p_{NY} = 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Standard error = 0.1

This means that [tex]s = 0.1[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.251 - 0}{0.1}[/tex]

[tex]z = -2.51[/tex]

The test statistic is [tex]z = -2.51[/tex]

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

Answer:

34.91

Step-by-step explanation:

433.91

-

399.00

————

34.91

Answer:

Canvas thing

Step-by-step explanation:

PUT MORE EXPLANATION!

Answer:

114 has the greatest value

Answer:

B. 30

Step-by-step explanation:

Given.:

m<4 = 2x°

m<5 = 4x°

Required:

Value of x

Solution:

<4 and <5 are angles in a straight line, therefore:

m<4 + m<5 = 180°

Substitute

2x + 4x = 180°

6x = 180°

x = 180/60

x = 30

Answer:

b or c

Step-by-step explanation:

Answer:

A, B, and E

Step-by-step explanation:

Those are correct.

it represents a origin on the plane

Answer:

1728000cm^3

Step-by-step explanation:

100cm-1m

x-1.2m

cross multiply

x=120cm

v=lxbxh

=120^3=1728000cm^3

Answer:

The top left graph

Step-by-step explanation:

All the others are wrong

Answer:

the first one (top left)

go over however many numbers on the left side of the coordinate and up whatever is on the right its always x first y second

Step-by-step explanation:

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The required equivalent rate is 4.8 inches per minute. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
               = 24 (12 inch) / (60 minutes)
               = 4.8 inch per minnute.

Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.

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Answer:

Increased by 290

Step-by-step explanation:

2(-30) = -60

-60 + 350 = 290

points increased by 290

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer is "His score changed by 290"

Step-by-step explanation:

2*30 = 60

350 points gained minus the 60 for the spaceships equals 290 points.

He only gained 290 points.

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Answer:

Evan is Correct.

Step-by-step explanation:

This shape is considered a rhombus because of the fact that it has all equal side lengths. Trapezoids are defined by having only one set of parallel lines, while the image appears to have two.

Answer:

7.48 in.

Step-by-step explanation:

Given :-

And we need to find out the second leg. So here we can use the Pythagoras Theorem , which establish the relationship between the sides of a right angled triangle. As ,

[tex]:\implies[/tex] p² + b² = h²

[tex]:\implies[/tex] 5² + b² = 9²

[tex]:\implies[/tex] 25 + b² = 81

[tex]:\implies[/tex]b² = 81 -25

[tex]:\implies[/tex] b² = 56

[tex]:\implies[/tex] b = 7.48 in

Hence the measurement of second leg is 7.48 inches .