What is the area of a triangle DEF?

Isaac purchased a pair of skates at a 15% off sale.

deff fn [24]

Let
x-------------> original price of the skates

we know that
15% of x is $19.50
so
0.15x=19.50---------> x=19.50/0.15-----------> x=$130

the answer is
the original price of the skates was $130

8 0

4 years ago

A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs

KATRIN_1 [288]

The teacher spend some amount on buying costumes and microphones for 6 cast members.

GiveN:

Cost of each costume = $38
Cost of each microphone = $c
Total money spent = $354

Let's frame the equation. Total money is the total amount spent for 6 cast members.

Money spent on costumes = $38 × 6

Money spent on microphone = $c × 6

Equation:

$6 \times 38 + 6 \times c = 354$

Taking 6 as common,

$6(38 + c) = 354$

Dividing 6 from both sides,

$\dfrac{6(38 + c)}{6} = \dfrac{354}{6}$

$38 + c = 59$

Solving further,

$38 + c - 38 = 59 - 38$

$c = 21$

So, the cost of each microphone = $21

The teacher spent this much on each microphone.

#CarryOnLearning

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8 0

3 years ago

Read 2 more answers

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women w

kompoz [17]

Answer:

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

Step-by-step explanation:

The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.

Then, we know that the 95% confidence interval is (76.5, 486.9)

$LL=M-MOE=281.7-205.2=76.5\\\\UL=M-MOE=281.7+205.2=486.9$

a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

True.

d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.

There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.

6 0

4 years ago

Please help with this math problem! I am giving brainliest! :)

lara31 [8.8K]

Answer: Heyy BFF The Answer is x= -8 or x=10

Step-by-step explanation: Stay Sliving ❤️

7 0

3 years ago

Ari thinks the perfect milkshake has 33 ounces of caramel for every 55 scoops of ice cream. Freeze Zone makes batches of milksha

mariarad [96]

$\frac{33}{55} \: = \: \frac{66}{88} k$
$\frac{3}{5} \: = \: \frac{6}{8} k$
$\frac{3}{5} \: = \: \frac{3}{4} k$
$k \: = \: \frac{4}{5}$
Since, k ≠ 1,
Ari will think Freeze Zone's Milkshakes don't have the required quality.

3 0

3 years ago

Read 2 more answers