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3 years ago

6

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 45 mushroom pizzas and 30 pepperoni pizzas. W

hat percentage of the pizzas were mushroom pizzas?

1 answer:

alukav5142 [94]3 years ago

6 0

Answer: 60%

Step-by-step explanation:

45+30=75=100%

75/10=7.5=10%

7.5*6=45=60%

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Can you solve the equation?

Andreas93 [3]

Answer:

x=3 and 9

Step-by-step explanation:

; x-3=0

x=3 (change side change mark)

and

$\frac{2}{3} x - 6 = 0$

$\frac{2}{3} x = 6$

$x = 6 \times \frac{3}{2}$

change side change mark.

So, x=9

If u wanna check the answer you can check by substitution x=3 and 9 in equation.

hope it helps you ☺️

3 0

3 years ago

A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

<u>a) Neither will need repair:</u>

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

<u>b) Both will need repair:</u>

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

<u>c) At least one car will need repair</u>

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

4 years ago

In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest<br> 10th of an inch.

DENIUS [597]

Answer:

g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

g ≈ 34.7 in

7 0

3 years ago

Can someone please help me with all the question up to 49

Igoryamba

Solve the top, then solve the bottom, and divide the top by the bottom.

4 0

3 years ago

Lucy Baker is analyzing demographic characteristics of two television programs, American Idol (population 1) and 60 Minutes (pop

creativ13 [48]

Answer:

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

Or in the alternative way would be:

Alternative hypothesis: $\mu_1 \neq \mu_2$

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The means for the two groups (American Idol and 60 Minutes) is the same". So we want to check if we have significant differences between the two means, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis: $\mu_1 -\mu_2 = 0$

This null hypothesis can be expressed like this:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 -\mu_2 \neq 0$

Or in the alternative way would be:

Alternative hypothesis: $\mu_1 \neq \mu_2$

4 0

3 years ago