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3 years ago

What is the measure of angle x? Round to the nearest tenth. . 28 21 xº

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

Answer:

x =53.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan x = 28 /21

Take the inverse tan of each side

tan ^-1 (tan x) = tan ^-1 (28/21)

x = 53.13010235

Rounding to the nearest tenth

x =53.1

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While eating lunch, Vivian ate 65% of the carrots she had in her bag. There were 20 carrots in her bag before she ate any. How m

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Answer:

Vivian would have 7 carrots left to spare if she ate 65% of the carrots in the bag.

Step-by-step explanation: Since 65% of 20 carrots equals 13 carrots, we would do 20 - 13. In which equals 7 so she has 7 carrots left in fer bag

Equation: 20-x=?

Solution: 20 - 13=7

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Pollsters regularly conduct opinion polls to determine the popularity rating of the current president. Suppose a poll is to be c

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Answer:

a. The relevant population is all the citizens of the country

b. The variable of interest is about whether the president is doing a good job or bad job. It is qualitative

c. The sample data is the 7,500 citizens randomly selected by random-digit telephone dialing

d. The inference of interest to the pollster is whether the citizens think the president is doing good or bad

e. The method of data collection is survey.

Step-by-step explanation:

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Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide

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<span>Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 3 order their food to go?

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4 years ago

Consumer Reports uses a 100-point customer satisfaction score to rate the nations major chain stores. Assume that from the past

zzz [600]

Answer:

(A) Mean = 84

(B) Variance = 118.714

Step-by-step explanation:

Data provided:

number of observations, n = 15

sample of 15 costco customer satisfaction scores follow

X $X-\bar{X}$ $(X-\bar{X})^2$

95 11 121

90 6 36

83 -1 1

64 -20 400

95 11 121

98 14 196

80 -4 16

83 -1 1

82 -2 4

93 9 81

86 2 4

80 -4 16

94 10 100

75 -9 81

62 -22 484

================================================

∑X = 1260 ∑= 1662

Now,

(A) Mean = $\frac{\textup{Sum of all observations}}{\textup{Total number of observations}}$

Mean = $\frac{\textup{1260}}{\textup{15}}$ = 84

(B) Variance = $\frac{\sum(X-\bar{X})^2}{n-1}$

Variance = $\frac{1662}{15-1}$

Variance = 118.714

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3 years ago

at the mall the cost of a pretzel is $2 less than the cost of some ice cream. five ice creams cost the same as nine pretzels. fi

Elanso [62]

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Step-by-step explanation:

Let,

Cost of pretzel = x

Cost of ice cream = y

According to given statement;

the cost of a pretzel is $2 less than the cost of some ice cream.

x = y - 2 Eqn 1

five ice creams cost the same as nine pretzels.

9x = 5y Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$9(y-2)=5y\\9y-18=5y\\9y-5y=18\\4y=18$

Dividing both sides by 4

$\frac{4y}{4}=\frac{18}{4}\\y=4.5$

Putting y=4.5 in Eqn 1

$x=4.5-2\\x=2.5$

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

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