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3 years ago

Kara's golf score was 1 less than three fourths of greg's golf score. if the sum of their scores was 153, find kara's golf score

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

let us say that:

x = greg’s golf score

so that:

(3/4) x – 1 = kara’s golf score

and:

x + (3/4) x – 1 = 153

calculating for x:

1.75 x = 154

x = 88

then kara’s score is:

(3/4) x – 1 = (3/4) * 88 – 1

= 65

Answer:

65

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3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

What is the slope of a line that is perpendicular to the line x = –3? –3 0 1/3 undefined

Elena L [17]

Answer:

slope = 0

Step-by-step explanation:

The line with equation x = - 3 is a vertical line parallel to the y- axis

A perpendicular line is therefore a horizontal line parallel to the x- axis

The slope of the x- axis is zero, hence the slope of the horizontal line is

slope = 0

8 0

3 years ago

tim earns $150/week plus $15.00 for each desk he assembles. Write an inequality to represent how many desks he needs assemble to

Gennadij [26K]

x = number of desks needed to make

equation: 150 +15.50x >= 400

solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50

3 0

3 years ago

Which statement is true regarding the graphed functions?

EastWind [94]

Answer:

f(0) = g(0)

Step-by-step explanation:

if a function h(x) passes through [a,b] then it can be said that h(a)=b.

given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

therefore, f(0)=g(0)=4.

so, first option is correct.

3 0

3 years ago

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